%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP338-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:33:03 PM UTC 2026
% Result : Unsatisfiable 53.97s 10.41s
% Output : CNFRefutation 68.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c11 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f74]) ).
fof(f76,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f77,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f76]) ).
fof(f78,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f79,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f78]) ).
fof(f80,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f81,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f80]) ).
fof(f82,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f83,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f82]) ).
fof(f84,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f87,plain,
( sk_c11 = inverse(sk_c3)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f86]) ).
fof(f88,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f89,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f88]) ).
fof(f90,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f91,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f90]) ).
fof(f92,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f93,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f92]) ).
fof(f94,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f95,plain,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f94]) ).
fof(f96,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f97,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f96]) ).
fof(f98,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f99,plain,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f98]) ).
fof(f100,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f101,plain,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f100]) ).
fof(f102,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f103,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f102]) ).
fof(f104,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c10) != sk_c11
| inverse(X4) != X5
| multiply(X4,X5) != sk_c11
| inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| inverse(X2) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c11
| multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| sk_c11 != multiply(X5,sk_c10)
| inverse(X4) != X5
| sk_c11 != multiply(X4,X5)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c11 != inverse(X2)
| sk_c10 != multiply(X2,sk_c11)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(X1,sk_c10)
| sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ),
inference(reorient_equations,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X7,X4] :
( multiply(X6,inverse(X4)) != X7
| inverse(X4) != inverse(X7)
| inverse(X6) != X7
| sk_c11 != multiply(inverse(X4),sk_c10)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c11 != inverse(X2)
| sk_c10 != multiply(X2,sk_c11)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(X1,sk_c10)
| sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ),
inference(equality_resolution,[],[f105]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c11 != inverse(X2)
| sk_c10 != multiply(X2,sk_c11)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(X1,sk_c10)
| sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ),
inference(equality_resolution,[],[f106]) ).
tcf(c_103,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_104,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_106,negated_conjecture,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_108,negated_conjecture,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_115,negated_conjecture,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_116,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_120,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_126,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_128,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_129,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_130,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_131,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_132,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_133,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_134,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_135,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_136,negated_conjecture,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_137,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_138,negated_conjecture,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_139,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_140,negated_conjecture,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_141,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_142,negated_conjecture,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_143,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_144,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_145,negated_conjecture,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_146,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_147,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_148,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_149,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_150,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_151,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_152,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_153,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_154,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_155,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_156,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( inverse(X5) != sk_c10 )
| ( inverse(X4) != sk_c10 )
| ( inverse(X3) != sk_c11 )
| ( inverse(X2) != sk_c11 )
| ( multiply(sk_c10,sk_c11) != sk_c9 )
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(X5,sk_c10) != sk_c11 )
| ( multiply(X4,sk_c10) != sk_c9 )
| ( multiply(X3,sk_c11) != sk_c10 )
| ( multiply(X2,sk_c10) != sk_c11 )
| ( multiply(inverse(X1),sk_c10) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_158,plain,
multiply(inverse(sk_c10),sk_c10) = identity,
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_621,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_156]) ).
tcf(c_622,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_156]) ).
tcf(c_623,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c11 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_156]) ).
tcf(c_624,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c10) != sk_c11 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_156]) ).
tcf(c_625,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c10) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_156]) ).
tcf(c_626,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c10,sk_c11) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_156]) ).
tcf(c_627,definition,
iPr_def_15 = multiply(sk_c10,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_628,definition,
iPr_def_16 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_629,definition,
iPr_def_17 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_630,definition,
iPr_def_18 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_631,definition,
iPr_def_19 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_632,definition,
iPr_def_20 = multiply(sk_c8,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_633,definition,
iPr_def_21 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_634,definition,
iPr_def_22 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_635,definition,
iPr_def_23 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_636,definition,
iPr_def_24 = multiply(sk_c4,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_637,definition,
iPr_def_25 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_638,definition,
iPr_def_26 = multiply(sk_c3,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_639,definition,
iPr_def_27 = multiply(sk_c2,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_640,definition,
iPr_def_28 = multiply(sk_c1,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_641,definition,
iPr_def_29 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_642,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_626,c_627]) ).
tcf(c_643,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c10) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(demodulation,[status(thm)],[c_625]) ).
tcf(c_644,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c10) != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_624]) ).
tcf(c_645,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_623]) ).
tcf(c_646,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_622]) ).
tcf(c_647,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_621]) ).
tcf(c_648,negated_conjecture,
( ( iPr_def_17 = sk_c10 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_155,c_629,c_628]) ).
tcf(c_649,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_154,c_630]) ).
tcf(c_650,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_153,c_631]) ).
tcf(c_651,negated_conjecture,
( ( iPr_def_20 = sk_c11 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_152,c_632]) ).
tcf(c_652,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_151,c_633]) ).
tcf(c_653,negated_conjecture,
( ( iPr_def_22 = sk_c11 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_150,c_634]) ).
tcf(c_654,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_149,c_635]) ).
tcf(c_655,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_148,c_636]) ).
tcf(c_656,negated_conjecture,
( ( iPr_def_25 = sk_c11 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_147,c_637]) ).
tcf(c_657,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_146,c_638]) ).
tcf(c_658,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_145,c_639]) ).
tcf(c_659,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_660,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_661,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_20 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_142]) ).
tcf(c_662,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_141]) ).
tcf(c_663,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_22 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_140]) ).
tcf(c_664,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_139]) ).
tcf(c_665,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_24 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_138]) ).
tcf(c_666,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_25 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_137]) ).
tcf(c_667,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_26 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_136]) ).
tcf(c_668,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_135,c_640]) ).
tcf(c_669,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_134]) ).
tcf(c_670,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_671,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_20 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_672,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_131]) ).
tcf(c_673,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_22 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_674,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_675,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_24 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_676,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_25 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_127]) ).
tcf(c_677,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_26 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_126]) ).
tcf(c_678,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_125,c_641]) ).
tcf(c_679,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_124]) ).
tcf(c_680,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_681,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_20 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_682,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_683,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_22 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_684,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_685,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_24 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_686,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_25 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_687,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_26 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_688,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_689,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_690,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_691,negated_conjecture,
( ( iPr_def_20 = sk_c11 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_692,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_693,negated_conjecture,
( ( iPr_def_22 = sk_c11 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_694,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_695,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_696,negated_conjecture,
( ( iPr_def_25 = sk_c11 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_697,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_698,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X2) = multiply(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_701,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = inverse(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_702,plain,
( ( multiply(sk_c10,sk_c10) = multiply(sk_c10,sk_c10) )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_703,plain,
( ( inverse(sk_c10) = inverse(sk_c10) )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_701]) ).
tcf(c_704,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_709,plain,
( ~ iPr_def_14
| ( inverse(inverse(sk_c10)) != inverse(sk_c10) )
| ( multiply(sk_c10,inverse(sk_c10)) != sk_c11 )
| ( multiply(sk_c10,inverse(sk_c10)) != inverse(sk_c10) )
| ( multiply(inverse(sk_c10),sk_c10) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_643]) ).
tcf(c_1020,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_648,c_650]) ).
tcf(c_1032,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_649,c_652]) ).
tcf(c_1040,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_651,c_653]) ).
tcf(c_1052,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_654,c_627]) ).
tcf(c_1053,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_653,c_627]) ).
tcf(c_1054,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_651,c_627]) ).
tcf(c_1061,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_650,c_630]) ).
tcf(c_1062,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_648,c_630]) ).
tcf(c_1073,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_656,c_627]) ).
tcf(c_1074,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_656,c_653]) ).
tcf(c_1075,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_656,c_651]) ).
tcf(c_1087,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_657,c_627]) ).
tcf(c_1088,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_657,c_654]) ).
tcf(c_1098,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_658,c_630]) ).
tcf(c_1099,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_658,c_650]) ).
tcf(c_1109,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_652,c_659]) ).
tcf(c_1120,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_660,c_658]) ).
tcf(c_1121,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_660,c_630]) ).
tcf(c_1134,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_661,c_656]) ).
tcf(c_1135,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_661,c_627]) ).
tcf(c_1136,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_661,c_653]) ).
tcf(c_1137,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_661,c_651]) ).
tcf(c_1155,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_662,c_659]) ).
tcf(c_1166,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_663,c_656]) ).
tcf(c_1167,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_663,c_627]) ).
tcf(c_1168,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_663,c_653]) ).
tcf(c_1169,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_663,c_651]) ).
tcf(c_1181,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_662,c_628]) ).
tcf(c_1182,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_659,c_628]) ).
tcf(c_1183,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_652,c_628]) ).
tcf(c_1184,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_649,c_628]) ).
tcf(c_1193,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_662,c_632]) ).
tcf(c_1194,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_659,c_632]) ).
tcf(c_1195,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_652,c_632]) ).
tcf(c_1196,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_649,c_632]) ).
tcf(c_1197,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_657,c_632]) ).
tcf(c_1198,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_654,c_632]) ).
tcf(c_1211,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_634]) ).
tcf(c_1212,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_659,c_634]) ).
tcf(c_1213,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_634]) ).
tcf(c_1214,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_634]) ).
tcf(c_1223,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_657,c_636]) ).
tcf(c_1224,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_654,c_636]) ).
tcf(c_1229,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_663,c_638]) ).
tcf(c_1230,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_661,c_638]) ).
tcf(c_1231,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_656,c_638]) ).
tcf(c_1232,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_653,c_638]) ).
tcf(c_1233,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_651,c_638]) ).
tcf(c_1244,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_657,c_639]) ).
tcf(c_1245,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_654,c_639]) ).
tcf(c_1250,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_657,c_640]) ).
tcf(c_1251,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_654,c_640]) ).
tcf(c_1256,plain,
multiply(iPr_def_25,sk_c3) = identity,
inference(superposition,[status(thm)],[c_637,c_104]) ).
tcf(c_1257,plain,
multiply(iPr_def_23,sk_c4) = identity,
inference(superposition,[status(thm)],[c_635,c_104]) ).
tcf(c_1258,plain,
multiply(iPr_def_21,sk_c5) = identity,
inference(superposition,[status(thm)],[c_633,c_104]) ).
tcf(c_1259,plain,
multiply(iPr_def_19,sk_c7) = identity,
inference(superposition,[status(thm)],[c_631,c_104]) ).
tcf(c_1260,plain,
multiply(iPr_def_18,sk_c6) = identity,
inference(superposition,[status(thm)],[c_630,c_104]) ).
tcf(c_1261,plain,
multiply(iPr_def_29,sk_c1) = identity,
inference(superposition,[status(thm)],[c_641,c_104]) ).
tcf(c_1262,plain,
multiply(iPr_def_17,sk_c2) = identity,
inference(superposition,[status(thm)],[c_629,c_104]) ).
tcf(c_1270,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_664,c_638]) ).
tcf(c_1271,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_664,c_656]) ).
tcf(c_1272,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_664,c_627]) ).
tcf(c_1273,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_664,c_653]) ).
tcf(c_1274,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_664,c_651]) ).
tcf(c_1288,plain,
! [X0: $i] :
( ( iPr_def_15 = sk_c9 )
| ( iPr_def_15 != X0 )
| ( sk_c9 != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1291,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1303,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_666,c_638]) ).
tcf(c_1304,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_666,c_656]) ).
tcf(c_1305,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_666,c_627]) ).
tcf(c_1306,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_666,c_653]) ).
tcf(c_1307,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_666,c_651]) ).
tcf(c_1321,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1291]) ).
tcf(c_1322,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1330,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1332,plain,
( ( sk_c9 = iPr_def_24 )
| ( iPr_def_24 != sk_c9 )
| ( sk_c9 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1321]) ).
tcf(c_1341,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_667,c_638]) ).
tcf(c_1342,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_667,c_656]) ).
tcf(c_1343,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_627]) ).
tcf(c_1344,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_667,c_653]) ).
tcf(c_1345,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_667,c_651]) ).
tcf(c_1365,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_668,c_660]) ).
tcf(c_1366,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_668,c_630]) ).
tcf(c_1367,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_668,c_650]) ).
tcf(c_1376,plain,
( ( iPr_def_15 = sk_c9 )
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c9 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_1288]) ).
tcf(c_1377,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != iPr_def_24 )
| ( X0 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_1291]) ).
tcf(c_1388,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_669,c_634]) ).
tcf(c_1389,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_669,c_632]) ).
tcf(c_1390,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_669,c_628]) ).
tcf(c_1391,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_669,c_662]) ).
tcf(c_1392,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_669,c_652]) ).
tcf(c_1420,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_670,c_668]) ).
tcf(c_1422,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_670,c_630]) ).
tcf(c_1428,plain,
( ( sk_c9 = iPr_def_15 )
| ( iPr_def_15 != sk_c9 )
| ( sk_c9 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1321]) ).
tcf(c_1442,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_666]) ).
tcf(c_1444,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_671,c_638]) ).
tcf(c_1445,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_663]) ).
tcf(c_1446,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_661]) ).
tcf(c_1447,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_671,c_656]) ).
tcf(c_1448,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_671,c_627]) ).
tcf(c_1449,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_671,c_653]) ).
tcf(c_1450,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_671,c_651]) ).
tcf(c_1472,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c10 )
| ( sk_c10 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1495,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_672,c_669]) ).
tcf(c_1496,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_634]) ).
tcf(c_1497,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_672,c_632]) ).
tcf(c_1498,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_672,c_628]) ).
tcf(c_1517,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1521,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c10 )
| ( sk_c10 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1472]) ).
tcf(c_1535,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_673,c_666]) ).
tcf(c_1537,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_673,c_638]) ).
tcf(c_1538,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_673,c_663]) ).
tcf(c_1540,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_673,c_656]) ).
tcf(c_1541,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_673,c_627]) ).
tcf(c_1542,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_673,c_653]) ).
tcf(c_1543,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_673,c_651]) ).
tcf(c_1562,plain,
( ( iPr_def_15 = sk_c9 )
| ( iPr_def_15 != iPr_def_15 )
| ( sk_c9 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1288]) ).
tcf(c_1564,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1291]) ).
tcf(c_1565,plain,
( ( sk_c9 = sk_c10 )
| ( sk_c9 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1564]) ).
tcf(c_1579,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_674,c_667]) ).
tcf(c_1580,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_674,c_666]) ).
tcf(c_1581,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_674,c_664]) ).
tcf(c_1582,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_674,c_638]) ).
tcf(c_1585,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_674,c_656]) ).
tcf(c_1586,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_674,c_627]) ).
tcf(c_1587,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_674,c_653]) ).
tcf(c_1588,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_674,c_651]) ).
tcf(c_1644,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_676,c_666]) ).
tcf(c_1646,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_676,c_638]) ).
tcf(c_1649,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_676,c_656]) ).
tcf(c_1650,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_676,c_627]) ).
tcf(c_1651,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_676,c_653]) ).
tcf(c_1652,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_676,c_651]) ).
tcf(c_1679,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1681,plain,
! [X0: $i,X1: $i] :
( ( X0 = identity )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1683,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_670,c_1260]) ).
tcf(c_1684,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_668,c_1260]) ).
tcf(c_1685,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_660,c_1260]) ).
tcf(c_1686,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_658,c_1260]) ).
tcf(c_1687,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_650,c_1260]) ).
tcf(c_1688,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_648,c_1260]) ).
tcf(c_1713,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_677,c_667]) ).
tcf(c_1716,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_677,c_638]) ).
tcf(c_1719,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_677,c_656]) ).
tcf(c_1720,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_677,c_627]) ).
tcf(c_1721,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_677,c_653]) ).
tcf(c_1722,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_677,c_651]) ).
tcf(c_1742,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = inverse(X0) )
| ( sk_c10 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1520]) ).
tcf(c_1757,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_678,c_1260]) ).
tcf(c_1758,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_678,c_670]) ).
tcf(c_1759,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_678,c_660]) ).
tcf(c_1760,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_678,c_630]) ).
tcf(c_1761,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_678,c_650]) ).
tcf(c_1780,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( iPr_def_24 != X0 )
| ( iPr_def_15 != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1781,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( iPr_def_24 != sk_c10 )
| ( iPr_def_15 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1780]) ).
tcf(c_1796,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_679,c_672]) ).
tcf(c_1797,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_679,c_634]) ).
tcf(c_1798,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_679,c_632]) ).
tcf(c_1799,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_679,c_628]) ).
tcf(c_1800,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_679,c_662]) ).
tcf(c_1801,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_679,c_652]) ).
tcf(c_1820,plain,
iPr_def_24 = iPr_def_24,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1844,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_680,c_678]) ).
tcf(c_1845,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_680,c_1260]) ).
tcf(c_1848,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_680,c_630]) ).
tcf(c_1874,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_676]) ).
tcf(c_1876,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_673]) ).
tcf(c_1877,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_671]) ).
tcf(c_1879,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_666]) ).
tcf(c_1881,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_681,c_638]) ).
tcf(c_1882,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_663]) ).
tcf(c_1883,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_661]) ).
tcf(c_1884,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_681,c_656]) ).
tcf(c_1885,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_681,c_627]) ).
tcf(c_1886,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_681,c_653]) ).
tcf(c_1887,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_681,c_651]) ).
tcf(c_1947,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_682,c_679]) ).
tcf(c_1949,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_634]) ).
tcf(c_1950,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_682,c_632]) ).
tcf(c_1951,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_682,c_628]) ).
tcf(c_1985,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_683,c_676]) ).
tcf(c_1987,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_683,c_673]) ).
tcf(c_1990,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_683,c_666]) ).
tcf(c_1992,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_683,c_638]) ).
tcf(c_1993,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_683,c_663]) ).
tcf(c_1995,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_683,c_656]) ).
tcf(c_1996,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_683,c_627]) ).
tcf(c_1997,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_683,c_653]) ).
tcf(c_1998,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_683,c_651]) ).
tcf(c_2065,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_677]) ).
tcf(c_2066,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_676]) ).
tcf(c_2067,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_674]) ).
tcf(c_2070,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_667]) ).
tcf(c_2071,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_666]) ).
tcf(c_2072,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_664]) ).
tcf(c_2073,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_684,c_638]) ).
tcf(c_2076,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_684,c_656]) ).
tcf(c_2077,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_684,c_627]) ).
tcf(c_2078,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_684,c_653]) ).
tcf(c_2079,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_684,c_651]) ).
tcf(c_2110,plain,
! [X0: $i,X1: $i] :
( ( identity = X0 )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_2137,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_15 )
| ( iPr_def_15 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_2162,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_686,c_676]) ).
tcf(c_2167,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_686,c_666]) ).
tcf(c_2169,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_686,c_638]) ).
tcf(c_2172,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_686,c_656]) ).
tcf(c_2173,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_686,c_627]) ).
tcf(c_2174,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_686,c_653]) ).
tcf(c_2175,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_686,c_651]) ).
tcf(c_2229,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_677]) ).
tcf(c_2234,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_667]) ).
tcf(c_2237,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_638]) ).
tcf(c_2240,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_687,c_656]) ).
tcf(c_2241,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_687,c_627]) ).
tcf(c_2242,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_687,c_653]) ).
tcf(c_2243,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_687,c_651]) ).
tcf(c_2282,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_688,c_680]) ).
tcf(c_2283,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_688,c_1260]) ).
tcf(c_2284,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_688,c_670]) ).
tcf(c_2285,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_688,c_660]) ).
tcf(c_2286,plain,
( ( sk_c9 = iPr_def_15 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_688,c_630]) ).
tcf(c_2287,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_688,c_650]) ).
tcf(c_2323,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_689,c_685]) ).
tcf(c_2324,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_689,c_675]) ).
tcf(c_2325,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_689,c_665]) ).
tcf(c_2326,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c8 = iPr_def_18 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_689,c_655]) ).
tcf(c_2359,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_690,c_688]) ).
tcf(c_2361,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_690,c_1260]) ).
tcf(c_2364,plain,
( ( sk_c9 = iPr_def_15 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_690,c_630]) ).
tcf(c_2380,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_685]) ).
tcf(c_2381,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_675]) ).
tcf(c_2382,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_665]) ).
tcf(c_2383,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_691,c_655]) ).
tcf(c_2405,plain,
iPr_def_15 = iPr_def_15,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_2406,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_2416,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_692,c_685]) ).
tcf(c_2417,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_692,c_675]) ).
tcf(c_2418,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_692,c_665]) ).
tcf(c_2419,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c8 = iPr_def_21 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_692,c_655]) ).
tcf(c_2440,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_693,c_685]) ).
tcf(c_2441,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_693,c_675]) ).
tcf(c_2442,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_693,c_665]) ).
tcf(c_2443,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_693,c_655]) ).
tcf(c_2462,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = inverse(X0) )
| ( sk_c10 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1742]) ).
tcf(c_2465,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_24 = X0 )
| ( iPr_def_24 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_2481,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_685]) ).
tcf(c_2482,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_675]) ).
tcf(c_2483,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_665]) ).
tcf(c_2484,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_694,c_655]) ).
tcf(c_2506,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_695,c_694]) ).
tcf(c_2507,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_695,c_693]) ).
tcf(c_2508,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c8 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_695,c_692]) ).
tcf(c_2509,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_695,c_691]) ).
tcf(c_2510,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c8 = iPr_def_18 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_695,c_689]) ).
tcf(c_2526,plain,
! [X0: $i,X1: $i] :
( ( inverse(X1) = multiply(identity,inverse(X0)) )
| ( inverse(X1) != inverse(X0) )
| ( multiply(identity,inverse(X0)) != inverse(X0) ) ),
inference(instantiation,[status(thm)],[c_1748]) ).
tcf(c_2527,plain,
! [X0: $i] : multiply(identity,inverse(X0)) = inverse(X0),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2528,plain,
( ( inverse(sk_c10) = multiply(identity,inverse(sk_c10)) )
| ( inverse(sk_c10) != inverse(sk_c10) )
| ( multiply(identity,inverse(sk_c10)) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_2526]) ).
tcf(c_2529,plain,
multiply(identity,inverse(sk_c10)) = inverse(sk_c10),
inference(instantiation,[status(thm)],[c_2527]) ).
tcf(c_2531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = inverse(X0) )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_2533,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_17 )
| ( iPr_def_17 != inverse(sk_c2) )
| ( inverse(X0) != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_1748]) ).
tcf(c_2541,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_23 )
| ( iPr_def_23 != inverse(sk_c4) )
| ( inverse(X0) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_1748]) ).
tcf(c_2543,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_25 )
| ( iPr_def_25 != inverse(sk_c3) )
| ( inverse(X0) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_1748]) ).
tcf(c_2544,plain,
( ( inverse(sk_c10) = iPr_def_25 )
| ( iPr_def_25 != inverse(sk_c3) )
| ( inverse(sk_c10) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_2543]) ).
tcf(c_2545,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_29 )
| ( iPr_def_29 != inverse(sk_c1) )
| ( inverse(X0) != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_1748]) ).
tcf(c_2546,plain,
( ( inverse(sk_c10) = iPr_def_29 )
| ( iPr_def_29 != inverse(sk_c1) )
| ( inverse(sk_c10) != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_2545]) ).
tcf(c_2557,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_695]) ).
tcf(c_2558,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_685]) ).
tcf(c_2559,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_675]) ).
tcf(c_2560,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_665]) ).
tcf(c_2561,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_696,c_655]) ).
tcf(c_2600,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_695]) ).
tcf(c_2601,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_685]) ).
tcf(c_2602,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_675]) ).
tcf(c_2603,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_665]) ).
tcf(c_2604,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_697,c_655]) ).
tcf(c_2656,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_642]) ).
tcf(c_2657,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_642]) ).
tcf(c_2658,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c9 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_642]) ).
tcf(c_2659,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_642]) ).
tcf(c_2660,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_693,c_642]) ).
tcf(c_2661,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_642]) ).
tcf(c_2662,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_642]) ).
tcf(c_2663,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_689,c_642]) ).
tcf(c_2664,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_29 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_685,c_642]) ).
tcf(c_2665,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_675,c_642]) ).
tcf(c_2666,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_27 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_665,c_642]) ).
tcf(c_2667,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_17 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_655,c_642]) ).
tcf(c_2787,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( inverse(sk_c4) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_636,c_644]) ).
tcf(c_2788,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(sk_c8) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_632,c_644]) ).
tcf(c_2789,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_640,c_644]) ).
tcf(c_2790,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(sk_c2) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_639,c_644]) ).
tcf(c_2791,plain,
( ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_644]) ).
tcf(c_2792,plain,
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(sk_c10)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_104,c_644]) ).
tcf(c_2793,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_657,c_644]) ).
tcf(c_2794,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_654,c_644]) ).
tcf(c_2798,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2790,c_629]) ).
tcf(c_2802,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_29 )
| ( sk_c11 != iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_2789,c_641]) ).
tcf(c_2809,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( sk_c11 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_2787,c_635]) ).
tcf(c_2856,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1020,c_644]) ).
tcf(c_2857,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1020,c_640]) ).
tcf(c_2858,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_639]) ).
tcf(c_2859,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1020,c_636]) ).
tcf(c_2860,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1020,c_632]) ).
tcf(c_2862,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_627]) ).
tcf(c_2894,plain,
! [X0: $i] : multiply(sk_c10,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_627,c_105]) ).
tcf(c_2895,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_638,c_105]) ).
tcf(c_2896,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_636,c_105]) ).
tcf(c_2897,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_634,c_105]) ).
tcf(c_2898,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_632,c_105]) ).
tcf(c_2899,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_628,c_105]) ).
tcf(c_2900,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_640,c_105]) ).
tcf(c_2901,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_639,c_105]) ).
tcf(c_2902,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_103,c_105]) ).
tcf(c_2903,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_2905,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1256,c_105]) ).
tcf(c_2906,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1257,c_105]) ).
tcf(c_2907,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1258,c_105]) ).
tcf(c_2908,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1259,c_105]) ).
tcf(c_2909,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1260,c_105]) ).
tcf(c_2910,plain,
! [X0: $i] : multiply(iPr_def_29,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1261,c_105]) ).
tcf(c_2911,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1262,c_105]) ).
tcf(c_2912,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ( inverse(multiply(X0,X1)) != sk_c11 )
| ( multiply(X0,multiply(X1,sk_c10)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_105,c_644]) ).
tcf(c_2913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,multiply(X1,X2)),X3) = multiply(multiply(X0,X1),multiply(X2,X3)),
inference(superposition,[status(thm)],[c_105,c_105]) ).
tcf(c_2914,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2911,c_103]) ).
tcf(c_2915,plain,
! [X0: $i] : multiply(iPr_def_29,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2910,c_103]) ).
tcf(c_2916,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2909,c_103]) ).
tcf(c_2917,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2908,c_103]) ).
tcf(c_2918,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2907,c_103]) ).
tcf(c_2919,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2906,c_103]) ).
tcf(c_2920,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2905,c_103]) ).
tcf(c_2962,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ( iPr_def_15 != multiply(sk_c10,sk_c11) )
| ( X0 != multiply(sk_c10,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_2137]) ).
tcf(c_2963,plain,
( ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != multiply(sk_c10,sk_c11) )
| ( sk_c10 != multiply(sk_c10,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_2962]) ).
tcf(c_3022,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1032,c_644]) ).
tcf(c_3023,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1032,c_640]) ).
tcf(c_3024,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_639]) ).
tcf(c_3025,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1032,c_636]) ).
tcf(c_3026,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1032,c_632]) ).
tcf(c_3027,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1032,c_657]) ).
tcf(c_3028,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_627]) ).
tcf(c_3029,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1032,c_654]) ).
tcf(c_3099,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1040,c_644]) ).
tcf(c_3100,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1040,c_640]) ).
tcf(c_3101,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1040,c_639]) ).
tcf(c_3102,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1040,c_636]) ).
tcf(c_3103,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1040,c_632]) ).
tcf(c_3104,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1040,c_657]) ).
tcf(c_3105,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_627]) ).
tcf(c_3106,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1040,c_654]) ).
tcf(c_3153,plain,
! [X0: $i] :
( ( identity = X0 )
| ( identity != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_2110]) ).
tcf(c_3154,plain,
( ( identity = sk_c10 )
| ( identity != identity )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_3153]) ).
tcf(c_3193,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1074,c_644]) ).
tcf(c_3194,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1074,c_640]) ).
tcf(c_3195,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1074,c_639]) ).
tcf(c_3196,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1074,c_636]) ).
tcf(c_3197,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1074,c_632]) ).
tcf(c_3198,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1074,c_657]) ).
tcf(c_3199,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_627]) ).
tcf(c_3200,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1074,c_654]) ).
tcf(c_3246,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1075,c_644]) ).
tcf(c_3247,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1075,c_640]) ).
tcf(c_3248,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1075,c_639]) ).
tcf(c_3249,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1075,c_636]) ).
tcf(c_3250,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1075,c_632]) ).
tcf(c_3251,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1075,c_657]) ).
tcf(c_3252,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_627]) ).
tcf(c_3253,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1075,c_654]) ).
tcf(c_3304,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1088,c_644]) ).
tcf(c_3305,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1088,c_640]) ).
tcf(c_3306,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1088,c_639]) ).
tcf(c_3307,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1088,c_636]) ).
tcf(c_3308,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1088,c_632]) ).
tcf(c_3309,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1088,c_657]) ).
tcf(c_3310,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_627]) ).
tcf(c_3311,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1088,c_654]) ).
tcf(c_3384,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1120,c_687]) ).
tcf(c_3385,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1120,c_686]) ).
tcf(c_3386,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1120,c_684]) ).
tcf(c_3387,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1120,c_683]) ).
tcf(c_3388,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1120,c_681]) ).
tcf(c_3389,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1120,c_677]) ).
tcf(c_3390,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1120,c_676]) ).
tcf(c_3391,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1120,c_674]) ).
tcf(c_3392,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1120,c_673]) ).
tcf(c_3393,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1120,c_671]) ).
tcf(c_3394,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1120,c_638]) ).
tcf(c_3396,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1120,c_627]) ).
tcf(c_3464,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ( iPr_def_15 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_2137]) ).
tcf(c_3495,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1155,c_687]) ).
tcf(c_3496,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1155,c_686]) ).
tcf(c_3497,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1155,c_684]) ).
tcf(c_3498,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1155,c_683]) ).
tcf(c_3499,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1155,c_681]) ).
tcf(c_3500,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1155,c_677]) ).
tcf(c_3501,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1155,c_676]) ).
tcf(c_3502,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1155,c_674]) ).
tcf(c_3503,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1155,c_673]) ).
tcf(c_3504,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1155,c_671]) ).
tcf(c_3505,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1155,c_638]) ).
tcf(c_3507,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1155,c_627]) ).
tcf(c_3557,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_636,c_645]) ).
tcf(c_3558,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(sk_c8) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_632,c_645]) ).
tcf(c_3559,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_640,c_645]) ).
tcf(c_3560,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_639,c_645]) ).
tcf(c_3561,plain,
( ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_103,c_645]) ).
tcf(c_3562,plain,
( ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(sk_c10)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_104,c_645]) ).
tcf(c_3563,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( inverse(multiply(X0,X1)) != sk_c10 )
| ( multiply(X0,multiply(X1,sk_c10)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_105,c_645]) ).
tcf(c_3564,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1088,c_645]) ).
tcf(c_3565,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1075,c_645]) ).
tcf(c_3566,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1074,c_645]) ).
tcf(c_3567,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1040,c_645]) ).
tcf(c_3568,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1032,c_645]) ).
tcf(c_3569,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1020,c_645]) ).
tcf(c_3570,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_657,c_645]) ).
tcf(c_3571,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_654,c_645]) ).
tcf(c_3575,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3560,c_629]) ).
tcf(c_3579,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_3559,c_641]) ).
tcf(c_3586,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_3557,c_635]) ).
tcf(c_3768,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_627,c_646]) ).
tcf(c_3769,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_26 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_638,c_646]) ).
tcf(c_3770,plain,
( ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_646]) ).
tcf(c_3771,plain,
( ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(sk_c11)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_104,c_646]) ).
tcf(c_3772,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c11 )
| ( multiply(X0,multiply(X1,sk_c11)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_105,c_646]) ).
tcf(c_3773,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1155,c_646]) ).
tcf(c_3774,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1120,c_646]) ).
tcf(c_3775,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_687,c_646]) ).
tcf(c_3776,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_686,c_646]) ).
tcf(c_3777,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_684,c_646]) ).
tcf(c_3778,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_683,c_646]) ).
tcf(c_3779,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_681,c_646]) ).
tcf(c_3780,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_677,c_646]) ).
tcf(c_3781,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_676,c_646]) ).
tcf(c_3782,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_674,c_646]) ).
tcf(c_3783,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_673,c_646]) ).
tcf(c_3784,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_671,c_646]) ).
tcf(c_3785,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_667,c_646]) ).
tcf(c_3786,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_666,c_646]) ).
tcf(c_3787,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_664,c_646]) ).
tcf(c_3788,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_663,c_646]) ).
tcf(c_3789,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_661,c_646]) ).
tcf(c_3790,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_656,c_646]) ).
tcf(c_3791,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_653,c_646]) ).
tcf(c_3792,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_651,c_646]) ).
tcf(c_3796,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_3769,c_637]) ).
tcf(c_3963,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_636,c_647]) ).
tcf(c_3964,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(sk_c8) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_632,c_647]) ).
tcf(c_3965,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_640,c_647]) ).
tcf(c_3966,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_639,c_647]) ).
tcf(c_3967,plain,
( ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_103,c_647]) ).
tcf(c_3968,plain,
( ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(sk_c10)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_104,c_647]) ).
tcf(c_3969,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( inverse(multiply(X0,X1)) != sk_c10 )
| ( multiply(X0,multiply(X1,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_105,c_647]) ).
tcf(c_3970,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1088,c_647]) ).
tcf(c_3971,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1075,c_647]) ).
tcf(c_3972,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1074,c_647]) ).
tcf(c_3973,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1040,c_647]) ).
tcf(c_3974,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1032,c_647]) ).
tcf(c_3975,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1020,c_647]) ).
tcf(c_3976,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_657,c_647]) ).
tcf(c_3977,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_654,c_647]) ).
tcf(c_3981,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3966,c_629]) ).
tcf(c_3985,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_3965,c_641]) ).
tcf(c_3992,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_3963,c_635]) ).
tcf(c_4108,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(X0) != inverse(identity) )
| ( inverse(inverse(identity)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_643]) ).
tcf(c_4109,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(X0))) != identity )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 )
| ( inverse(inverse(inverse(inverse(X0)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_104,c_643]) ).
tcf(c_4110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_14
| ( multiply(inverse(X2),sk_c10) != sk_c11 )
| ( multiply(X2,inverse(X2)) != sk_c11 )
| ( inverse(inverse(multiply(X0,X1))) != inverse(X2) )
| ( multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_105,c_643]) ).
tcf(c_4111,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c3) )
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c11 )
| ( multiply(inverse(sk_c3),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_637,c_643]) ).
tcf(c_4112,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c4) )
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c11 )
| ( multiply(inverse(sk_c4),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_635,c_643]) ).
tcf(c_4113,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c5) )
| ( multiply(X0,iPr_def_21) != inverse(X0) )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_633,c_643]) ).
tcf(c_4114,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c7) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c11 )
| ( multiply(inverse(sk_c7),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_631,c_643]) ).
tcf(c_4115,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c6) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c11 )
| ( multiply(inverse(sk_c6),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_630,c_643]) ).
tcf(c_4116,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c1) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(sk_c1,inverse(sk_c1)) != sk_c11 )
| ( multiply(inverse(sk_c1),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_641,c_643]) ).
tcf(c_4117,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c2) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(sk_c2,inverse(sk_c2)) != sk_c11 )
| ( multiply(inverse(sk_c2),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_629,c_643]) ).
tcf(c_4123,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_17,sk_c10) != sk_c11 )
| ( multiply(sk_c2,iPr_def_17) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_17 )
| ( multiply(X0,iPr_def_17) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_4117,c_629]) ).
tcf(c_4129,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_29,sk_c10) != sk_c11 )
| ( multiply(sk_c1,iPr_def_29) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_29 )
| ( multiply(X0,iPr_def_29) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_4116,c_641]) ).
tcf(c_4135,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_18,sk_c10) != sk_c11 )
| ( multiply(sk_c6,iPr_def_18) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_18 )
| ( multiply(X0,iPr_def_18) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_4115,c_630]) ).
tcf(c_4141,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_19,sk_c10) != sk_c11 )
| ( multiply(sk_c7,iPr_def_19) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_19 )
| ( multiply(X0,iPr_def_19) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_4114,c_631]) ).
tcf(c_4147,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_21,sk_c10) != sk_c11 )
| ( multiply(sk_c5,iPr_def_21) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_21 )
| ( multiply(X0,iPr_def_21) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_4113,c_633]) ).
tcf(c_4153,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_23,sk_c10) != sk_c11 )
| ( multiply(sk_c4,iPr_def_23) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_23 )
| ( multiply(X0,iPr_def_23) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_4112,c_635]) ).
tcf(c_4159,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_25,sk_c10) != sk_c11 )
| ( multiply(sk_c3,iPr_def_25) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_25 )
| ( multiply(X0,iPr_def_25) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_4111,c_637]) ).
tcf(c_4189,plain,
! [X0: $i] :
( ( inverse(X0) = inverse(sk_c2) )
| ( X0 != sk_c2 ) ),
inference(instantiation,[status(thm)],[c_701]) ).
tcf(c_4190,plain,
( ( inverse(sk_c10) = inverse(sk_c2) )
| ( sk_c10 != sk_c2 ) ),
inference(instantiation,[status(thm)],[c_4189]) ).
tcf(c_4191,plain,
( ( inverse(sk_c2) = iPr_def_17 )
| ( iPr_def_17 != inverse(sk_c2) )
| ( inverse(sk_c2) != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_2533]) ).
tcf(c_4192,plain,
inverse(sk_c2) = inverse(sk_c2),
inference(instantiation,[status(thm)],[c_1517]) ).
tcf(c_4212,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1420,c_646]) ).
tcf(c_4213,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1420,c_1155]) ).
tcf(c_4214,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1420,c_1120]) ).
tcf(c_4215,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1420,c_687]) ).
tcf(c_4216,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1420,c_686]) ).
tcf(c_4217,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1420,c_684]) ).
tcf(c_4218,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1420,c_683]) ).
tcf(c_4219,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1420,c_681]) ).
tcf(c_4223,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1420,c_638]) ).
tcf(c_4227,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1420,c_627]) ).
tcf(c_4303,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1446,c_1420]) ).
tcf(c_4304,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1446,c_646]) ).
tcf(c_4305,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1446,c_1155]) ).
tcf(c_4306,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1446,c_1120]) ).
tcf(c_4307,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1446,c_687]) ).
tcf(c_4308,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1446,c_686]) ).
tcf(c_4309,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1446,c_684]) ).
tcf(c_4310,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1446,c_683]) ).
tcf(c_4311,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1446,c_681]) ).
tcf(c_4312,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1446,c_677]) ).
tcf(c_4313,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1446,c_676]) ).
tcf(c_4314,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1446,c_674]) ).
tcf(c_4315,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1446,c_673]) ).
tcf(c_4316,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1446,c_671]) ).
tcf(c_4317,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1446,c_667]) ).
tcf(c_4318,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1446,c_666]) ).
tcf(c_4319,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1446,c_664]) ).
tcf(c_4320,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1446,c_638]) ).
tcf(c_4321,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1446,c_663]) ).
tcf(c_4322,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1446,c_661]) ).
tcf(c_4324,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1446,c_627]) ).
tcf(c_4399,plain,
! [X0: $i] :
( ( inverse(X0) = inverse(sk_c4) )
| ( X0 != sk_c4 ) ),
inference(instantiation,[status(thm)],[c_701]) ).
tcf(c_4400,plain,
( ( inverse(sk_c10) = inverse(sk_c4) )
| ( sk_c10 != sk_c4 ) ),
inference(instantiation,[status(thm)],[c_4399]) ).
tcf(c_4401,plain,
( ( inverse(sk_c4) = iPr_def_23 )
| ( iPr_def_23 != inverse(sk_c4) )
| ( inverse(sk_c4) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_2541]) ).
tcf(c_4402,plain,
inverse(sk_c4) = inverse(sk_c4),
inference(instantiation,[status(thm)],[c_1517]) ).
tcf(c_4406,plain,
! [X0: $i] :
( ( inverse(X0) = inverse(sk_c3) )
| ( X0 != sk_c3 ) ),
inference(instantiation,[status(thm)],[c_701]) ).
tcf(c_4407,plain,
( ( inverse(sk_c10) = inverse(sk_c3) )
| ( sk_c10 != sk_c3 ) ),
inference(instantiation,[status(thm)],[c_4406]) ).
tcf(c_4408,plain,
( ( inverse(sk_c3) = iPr_def_25 )
| ( iPr_def_25 != inverse(sk_c3) )
| ( inverse(sk_c3) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_2543]) ).
tcf(c_4409,plain,
inverse(sk_c3) = inverse(sk_c3),
inference(instantiation,[status(thm)],[c_1517]) ).
tcf(c_4419,plain,
! [X0: $i] :
( ( inverse(X0) = inverse(sk_c1) )
| ( X0 != sk_c1 ) ),
inference(instantiation,[status(thm)],[c_701]) ).
tcf(c_4420,plain,
( ( inverse(sk_c10) = inverse(sk_c1) )
| ( sk_c10 != sk_c1 ) ),
inference(instantiation,[status(thm)],[c_4419]) ).
tcf(c_4439,plain,
! [X0: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_2406]) ).
tcf(c_4440,plain,
( ( iPr_def_15 = sk_c10 )
| ( iPr_def_15 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_4439]) ).
tcf(c_4461,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1495,c_1446]) ).
tcf(c_4462,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1495,c_646]) ).
tcf(c_4463,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1495,c_1155]) ).
tcf(c_4465,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1495,c_687]) ).
tcf(c_4466,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1495,c_686]) ).
tcf(c_4467,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1495,c_684]) ).
tcf(c_4468,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1495,c_683]) ).
tcf(c_4469,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1495,c_681]) ).
tcf(c_4473,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1495,c_638]) ).
tcf(c_4477,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1495,c_627]) ).
tcf(c_4514,plain,
! [X0: $i] :
( ( iPr_def_24 = X0 )
| ( iPr_def_24 != iPr_def_24 )
| ( X0 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_2465]) ).
tcf(c_4515,plain,
( ( iPr_def_24 = sk_c10 )
| ( iPr_def_24 != iPr_def_24 )
| ( sk_c10 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_4514]) ).
tcf(c_4518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != multiply(identity,inverse(X1)) )
| ( inverse(X0) != multiply(identity,inverse(X1)) ) ),
inference(instantiation,[status(thm)],[c_1520]) ).
tcf(c_4548,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1538,c_1495]) ).
tcf(c_4549,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1538,c_1446]) ).
tcf(c_4550,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1538,c_1420]) ).
tcf(c_4551,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1538,c_646]) ).
tcf(c_4552,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1538,c_1155]) ).
tcf(c_4553,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1538,c_1120]) ).
tcf(c_4554,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1538,c_687]) ).
tcf(c_4555,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1538,c_686]) ).
tcf(c_4556,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1538,c_684]) ).
tcf(c_4557,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1538,c_683]) ).
tcf(c_4558,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1538,c_681]) ).
tcf(c_4559,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1538,c_677]) ).
tcf(c_4560,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1538,c_676]) ).
tcf(c_4561,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1538,c_674]) ).
tcf(c_4562,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1538,c_673]) ).
tcf(c_4563,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1538,c_671]) ).
tcf(c_4564,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1538,c_667]) ).
tcf(c_4565,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1538,c_666]) ).
tcf(c_4566,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1538,c_664]) ).
tcf(c_4567,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1538,c_638]) ).
tcf(c_4568,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1538,c_663]) ).
tcf(c_4569,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1538,c_661]) ).
tcf(c_4571,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1538,c_627]) ).
tcf(c_4703,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_687,c_1052]) ).
tcf(c_4704,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_686,c_1052]) ).
tcf(c_4705,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_684,c_1052]) ).
tcf(c_4706,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_683,c_1052]) ).
tcf(c_4707,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_681,c_1052]) ).
tcf(c_4708,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_677,c_1052]) ).
tcf(c_4709,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_676,c_1052]) ).
tcf(c_4710,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_674,c_1052]) ).
tcf(c_4711,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_673,c_1052]) ).
tcf(c_4712,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_671,c_1052]) ).
tcf(c_4713,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_1052]) ).
tcf(c_4714,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_666,c_1052]) ).
tcf(c_4715,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_664,c_1052]) ).
tcf(c_4716,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_663,c_1052]) ).
tcf(c_4717,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_661,c_1052]) ).
tcf(c_4718,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_656,c_1052]) ).
tcf(c_4719,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_653,c_1052]) ).
tcf(c_4720,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_651,c_1052]) ).
tcf(c_4721,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1052,c_105]) ).
tcf(c_4722,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1052,c_646]) ).
tcf(c_4835,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1581,c_647]) ).
tcf(c_4836,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1581,c_645]) ).
tcf(c_4837,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1581,c_1088]) ).
tcf(c_4838,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1581,c_1075]) ).
tcf(c_4839,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1581,c_1074]) ).
tcf(c_4842,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1581,c_1020]) ).
tcf(c_4843,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1581,c_644]) ).
tcf(c_4844,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1581,c_640]) ).
tcf(c_4845,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1581,c_639]) ).
tcf(c_4846,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1581,c_636]) ).
tcf(c_4847,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1581,c_632]) ).
tcf(c_4849,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1581,c_627]) ).
tcf(c_4967,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1644,c_1538]) ).
tcf(c_4968,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1644,c_1495]) ).
tcf(c_4969,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1644,c_1446]) ).
tcf(c_4970,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1644,c_1420]) ).
tcf(c_4971,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1644,c_646]) ).
tcf(c_4972,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1644,c_1155]) ).
tcf(c_4973,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1644,c_1120]) ).
tcf(c_4974,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1644,c_687]) ).
tcf(c_4975,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1644,c_686]) ).
tcf(c_4976,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1644,c_684]) ).
tcf(c_4977,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1644,c_683]) ).
tcf(c_4978,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1644,c_681]) ).
tcf(c_4979,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1644,c_677]) ).
tcf(c_4980,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1644,c_676]) ).
tcf(c_4981,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1644,c_674]) ).
tcf(c_4982,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1644,c_673]) ).
tcf(c_4983,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1644,c_671]) ).
tcf(c_4984,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1644,c_667]) ).
tcf(c_4985,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1644,c_666]) ).
tcf(c_4986,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1644,c_664]) ).
tcf(c_4987,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1644,c_638]) ).
tcf(c_4988,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1644,c_663]) ).
tcf(c_4989,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1644,c_661]) ).
tcf(c_4990,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1644,c_627]) ).
tcf(c_5148,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1713,c_1581]) ).
tcf(c_5149,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1713,c_647]) ).
tcf(c_5150,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1713,c_645]) ).
tcf(c_5156,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1713,c_1020]) ).
tcf(c_5157,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1713,c_644]) ).
tcf(c_5158,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1713,c_640]) ).
tcf(c_5159,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1713,c_639]) ).
tcf(c_5160,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1713,c_636]) ).
tcf(c_5161,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1713,c_632]) ).
tcf(c_5162,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1713,c_627]) ).
tcf(c_5198,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(sk_c10,sk_c11) )
| ( X1 != X0 )
| ( multiply(sk_c10,sk_c11) != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_5252,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1844,c_1644]) ).
tcf(c_5254,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1844,c_1538]) ).
tcf(c_5255,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1844,c_1495]) ).
tcf(c_5256,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1844,c_1446]) ).
tcf(c_5257,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1844,c_1420]) ).
tcf(c_5258,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1844,c_646]) ).
tcf(c_5259,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1844,c_1155]) ).
tcf(c_5260,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1844,c_1120]) ).
tcf(c_5269,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1844,c_638]) ).
tcf(c_5273,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1844,c_627]) ).
tcf(c_5350,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1877,c_1844]) ).
tcf(c_5354,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1877,c_1495]) ).
tcf(c_5355,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1877,c_1420]) ).
tcf(c_5356,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1877,c_646]) ).
tcf(c_5357,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1877,c_1155]) ).
tcf(c_5358,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1877,c_1120]) ).
tcf(c_5359,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1877,c_687]) ).
tcf(c_5360,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1877,c_686]) ).
tcf(c_5361,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1877,c_684]) ).
tcf(c_5362,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1877,c_683]) ).
tcf(c_5363,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1877,c_681]) ).
tcf(c_5364,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1877,c_677]) ).
tcf(c_5365,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1877,c_676]) ).
tcf(c_5366,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1877,c_674]) ).
tcf(c_5367,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1877,c_673]) ).
tcf(c_5368,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1877,c_671]) ).
tcf(c_5369,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1877,c_667]) ).
tcf(c_5370,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1877,c_666]) ).
tcf(c_5371,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1877,c_664]) ).
tcf(c_5372,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1877,c_638]) ).
tcf(c_5373,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1877,c_663]) ).
tcf(c_5374,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1877,c_661]) ).
tcf(c_5376,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1877,c_627]) ).
tcf(c_5565,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1883,c_1844]) ).
tcf(c_5569,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1883,c_1495]) ).
tcf(c_5570,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1883,c_1420]) ).
tcf(c_5571,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1883,c_646]) ).
tcf(c_5572,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1883,c_1155]) ).
tcf(c_5573,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1883,c_1120]) ).
tcf(c_5574,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1883,c_687]) ).
tcf(c_5575,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1883,c_686]) ).
tcf(c_5576,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1883,c_684]) ).
tcf(c_5577,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1883,c_683]) ).
tcf(c_5578,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1883,c_681]) ).
tcf(c_5579,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1883,c_677]) ).
tcf(c_5580,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1883,c_676]) ).
tcf(c_5581,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1883,c_674]) ).
tcf(c_5582,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1883,c_673]) ).
tcf(c_5583,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1883,c_671]) ).
tcf(c_5584,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1883,c_667]) ).
tcf(c_5585,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1883,c_666]) ).
tcf(c_5586,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1883,c_664]) ).
tcf(c_5587,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1883,c_638]) ).
tcf(c_5588,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1883,c_663]) ).
tcf(c_5589,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1883,c_661]) ).
tcf(c_5591,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1883,c_627]) ).
tcf(c_5739,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1947,c_1883]) ).
tcf(c_5740,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1947,c_1877]) ).
tcf(c_5741,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1947,c_1644]) ).
tcf(c_5743,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1947,c_1538]) ).
tcf(c_5744,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1947,c_1495]) ).
tcf(c_5745,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1947,c_1446]) ).
tcf(c_5747,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1947,c_646]) ).
tcf(c_5748,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1947,c_1155]) ).
tcf(c_5758,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1947,c_638]) ).
tcf(c_5762,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1947,c_627]) ).
tcf(c_5861,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1987,c_1947]) ).
tcf(c_5862,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1987,c_1883]) ).
tcf(c_5863,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1987,c_1877]) ).
tcf(c_5864,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1987,c_1844]) ).
tcf(c_5867,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1987,c_1495]) ).
tcf(c_5869,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1987,c_1420]) ).
tcf(c_5870,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1987,c_646]) ).
tcf(c_5871,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1987,c_1155]) ).
tcf(c_5872,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1987,c_1120]) ).
tcf(c_5873,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1987,c_687]) ).
tcf(c_5874,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1987,c_686]) ).
tcf(c_5875,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1987,c_684]) ).
tcf(c_5876,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1987,c_683]) ).
tcf(c_5877,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1987,c_681]) ).
tcf(c_5878,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1987,c_677]) ).
tcf(c_5879,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1987,c_676]) ).
tcf(c_5880,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1987,c_674]) ).
tcf(c_5881,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1987,c_673]) ).
tcf(c_5882,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1987,c_671]) ).
tcf(c_5883,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1987,c_667]) ).
tcf(c_5884,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1987,c_666]) ).
tcf(c_5885,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1987,c_664]) ).
tcf(c_5886,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1987,c_638]) ).
tcf(c_5887,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1987,c_663]) ).
tcf(c_5888,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1987,c_661]) ).
tcf(c_5890,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1987,c_627]) ).
tcf(c_6084,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1993,c_1947]) ).
tcf(c_6085,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1993,c_1883]) ).
tcf(c_6087,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1993,c_1844]) ).
tcf(c_6090,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1993,c_1495]) ).
tcf(c_6092,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1993,c_1420]) ).
tcf(c_6093,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1993,c_646]) ).
tcf(c_6094,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1993,c_1155]) ).
tcf(c_6095,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1993,c_1120]) ).
tcf(c_6096,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1993,c_687]) ).
tcf(c_6097,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1993,c_686]) ).
tcf(c_6098,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1993,c_684]) ).
tcf(c_6099,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1993,c_683]) ).
tcf(c_6100,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1993,c_681]) ).
tcf(c_6101,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1993,c_677]) ).
tcf(c_6102,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1993,c_676]) ).
tcf(c_6103,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1993,c_674]) ).
tcf(c_6104,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1993,c_673]) ).
tcf(c_6105,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1993,c_671]) ).
tcf(c_6106,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1993,c_667]) ).
tcf(c_6107,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1993,c_666]) ).
tcf(c_6108,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1993,c_664]) ).
tcf(c_6109,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1993,c_638]) ).
tcf(c_6110,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1993,c_663]) ).
tcf(c_6111,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1993,c_661]) ).
tcf(c_6113,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1993,c_627]) ).
tcf(c_6302,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2067,c_647]) ).
tcf(c_6303,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2067,c_645]) ).
tcf(c_6304,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2067,c_1088]) ).
tcf(c_6305,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2067,c_1075]) ).
tcf(c_6306,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2067,c_1074]) ).
tcf(c_6309,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2067,c_1020]) ).
tcf(c_6310,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2067,c_644]) ).
tcf(c_6311,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2067,c_640]) ).
tcf(c_6312,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2067,c_639]) ).
tcf(c_6313,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2067,c_636]) ).
tcf(c_6314,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2067,c_632]) ).
tcf(c_6316,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2067,c_627]) ).
tcf(c_6446,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2072,c_647]) ).
tcf(c_6447,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2072,c_645]) ).
tcf(c_6448,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2072,c_1088]) ).
tcf(c_6449,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2072,c_1075]) ).
tcf(c_6450,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2072,c_1074]) ).
tcf(c_6453,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2072,c_1020]) ).
tcf(c_6454,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2072,c_644]) ).
tcf(c_6455,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2072,c_640]) ).
tcf(c_6456,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2072,c_639]) ).
tcf(c_6457,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2072,c_636]) ).
tcf(c_6458,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2072,c_632]) ).
tcf(c_6460,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2072,c_627]) ).
tcf(c_6576,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2162,c_1993]) ).
tcf(c_6577,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2162,c_1987]) ).
tcf(c_6578,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2162,c_1947]) ).
tcf(c_6579,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2162,c_1883]) ).
tcf(c_6580,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2162,c_1877]) ).
tcf(c_6581,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2162,c_1844]) ).
tcf(c_6584,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2162,c_1495]) ).
tcf(c_6586,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2162,c_1420]) ).
tcf(c_6587,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2162,c_646]) ).
tcf(c_6588,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2162,c_1155]) ).
tcf(c_6589,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2162,c_1120]) ).
tcf(c_6590,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2162,c_687]) ).
tcf(c_6591,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2162,c_686]) ).
tcf(c_6592,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2162,c_684]) ).
tcf(c_6593,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2162,c_683]) ).
tcf(c_6594,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2162,c_681]) ).
tcf(c_6595,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2162,c_677]) ).
tcf(c_6596,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2162,c_676]) ).
tcf(c_6597,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2162,c_674]) ).
tcf(c_6598,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2162,c_673]) ).
tcf(c_6599,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2162,c_671]) ).
tcf(c_6600,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2162,c_667]) ).
tcf(c_6601,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2162,c_666]) ).
tcf(c_6602,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2162,c_664]) ).
tcf(c_6603,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2162,c_638]) ).
tcf(c_6604,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2162,c_663]) ).
tcf(c_6605,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2162,c_661]) ).
tcf(c_6606,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2162,c_627]) ).
tcf(c_6787,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2167,c_1993]) ).
tcf(c_6789,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2167,c_1947]) ).
tcf(c_6790,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2167,c_1883]) ).
tcf(c_6792,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2167,c_1844]) ).
tcf(c_6795,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2167,c_1495]) ).
tcf(c_6797,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2167,c_1420]) ).
tcf(c_6798,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2167,c_646]) ).
tcf(c_6799,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2167,c_1155]) ).
tcf(c_6800,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2167,c_1120]) ).
tcf(c_6801,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2167,c_687]) ).
tcf(c_6802,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2167,c_686]) ).
tcf(c_6803,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2167,c_684]) ).
tcf(c_6804,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2167,c_683]) ).
tcf(c_6805,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2167,c_681]) ).
tcf(c_6806,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2167,c_677]) ).
tcf(c_6807,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2167,c_676]) ).
tcf(c_6808,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2167,c_674]) ).
tcf(c_6809,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2167,c_673]) ).
tcf(c_6810,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2167,c_671]) ).
tcf(c_6811,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2167,c_667]) ).
tcf(c_6812,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2167,c_666]) ).
tcf(c_6813,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2167,c_664]) ).
tcf(c_6814,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2167,c_638]) ).
tcf(c_6815,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2167,c_663]) ).
tcf(c_6816,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2167,c_661]) ).
tcf(c_6817,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2167,c_627]) ).
tcf(c_7000,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2229,c_2072]) ).
tcf(c_7001,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2229,c_2067]) ).
tcf(c_7003,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2229,c_647]) ).
tcf(c_7004,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2229,c_645]) ).
tcf(c_7010,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2229,c_1020]) ).
tcf(c_7011,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2229,c_644]) ).
tcf(c_7012,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2229,c_640]) ).
tcf(c_7013,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2229,c_639]) ).
tcf(c_7014,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2229,c_636]) ).
tcf(c_7015,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2229,c_632]) ).
tcf(c_7016,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2229,c_627]) ).
tcf(c_7132,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2234,c_2072]) ).
tcf(c_7135,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2234,c_647]) ).
tcf(c_7136,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2234,c_645]) ).
tcf(c_7142,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2234,c_1020]) ).
tcf(c_7143,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2234,c_644]) ).
tcf(c_7144,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2234,c_640]) ).
tcf(c_7145,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2234,c_639]) ).
tcf(c_7146,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2234,c_636]) ).
tcf(c_7147,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2234,c_632]) ).
tcf(c_7148,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2234,c_627]) ).
tcf(c_7222,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2359,c_642]) ).
tcf(c_7223,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2359,c_695]) ).
tcf(c_7224,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2359,c_685]) ).
tcf(c_7225,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2359,c_675]) ).
tcf(c_7226,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2359,c_665]) ).
tcf(c_7227,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2359,c_655]) ).
tcf(c_7265,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_657,c_1053]) ).
tcf(c_7267,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1053,c_105]) ).
tcf(c_7301,plain,
multiply(iPr_def_17,iPr_def_27) = sk_c10,
inference(superposition,[status(thm)],[c_639,c_2914]) ).
tcf(c_7302,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(sk_c2,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2914,c_105]) ).
tcf(c_7304,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_7301,c_105]) ).
tcf(c_7320,plain,
multiply(iPr_def_29,iPr_def_28) = sk_c10,
inference(superposition,[status(thm)],[c_640,c_2915]) ).
tcf(c_7321,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_29,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2915,c_105]) ).
tcf(c_7323,plain,
! [X0: $i] : multiply(iPr_def_29,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_7320,c_105]) ).
tcf(c_7333,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_690,c_2916]) ).
tcf(c_7334,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_688,c_2916]) ).
tcf(c_7335,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_680,c_2916]) ).
tcf(c_7336,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_678,c_2916]) ).
tcf(c_7337,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_670,c_2916]) ).
tcf(c_7338,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_668,c_2916]) ).
tcf(c_7339,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_660,c_2916]) ).
tcf(c_7340,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_658,c_2916]) ).
tcf(c_7341,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_650,c_2916]) ).
tcf(c_7342,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_648,c_2916]) ).
tcf(c_7343,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(multiply(sk_c6,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2916,c_105]) ).
tcf(c_7385,plain,
multiply(iPr_def_19,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_628,c_2917]) ).
tcf(c_7386,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(multiply(sk_c7,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2917,c_105]) ).
tcf(c_7388,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_7385,c_105]) ).
tcf(c_7390,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_634,c_2918]) ).
tcf(c_7391,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(multiply(sk_c5,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2918,c_105]) ).
tcf(c_7405,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1061,c_643]) ).
tcf(c_7418,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1062,c_643]) ).
tcf(c_7431,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1098,c_643]) ).
tcf(c_7464,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1121,c_643]) ).
tcf(c_7477,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1366,c_643]) ).
tcf(c_7490,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1422,c_643]) ).
tcf(c_7503,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1760,c_643]) ).
tcf(c_7522,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1848,c_643]) ).
tcf(c_7546,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_657,c_1054]) ).
tcf(c_7548,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1054,c_105]) ).
tcf(c_7554,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_7390,c_105]) ).
tcf(c_7556,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c10,
inference(superposition,[status(thm)],[c_636,c_2919]) ).
tcf(c_7557,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(multiply(sk_c4,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2919,c_105]) ).
tcf(c_7628,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_7556,c_105]) ).
tcf(c_7630,plain,
multiply(iPr_def_25,iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_638,c_2920]) ).
tcf(c_7631,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_25,multiply(multiply(sk_c3,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2920,c_105]) ).
tcf(c_7633,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_7630,c_105]) ).
tcf(c_7663,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_4214,c_7320]) ).
tcf(c_7670,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_4463,c_7320]) ).
tcf(c_7677,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_4549,c_7320]) ).
tcf(c_7685,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2286,c_643]) ).
tcf(c_7698,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2364,c_643]) ).
tcf(c_7794,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_657,c_1073]) ).
tcf(c_7796,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1073,c_105]) ).
tcf(c_7833,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_687,c_1087]) ).
tcf(c_7834,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_686,c_1087]) ).
tcf(c_7835,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_684,c_1087]) ).
tcf(c_7836,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_683,c_1087]) ).
tcf(c_7837,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_681,c_1087]) ).
tcf(c_7838,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_677,c_1087]) ).
tcf(c_7839,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_676,c_1087]) ).
tcf(c_7840,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_674,c_1087]) ).
tcf(c_7841,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_673,c_1087]) ).
tcf(c_7842,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_671,c_1087]) ).
tcf(c_7843,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_1087]) ).
tcf(c_7844,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_666,c_1087]) ).
tcf(c_7845,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_664,c_1087]) ).
tcf(c_7846,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_663,c_1087]) ).
tcf(c_7847,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_661,c_1087]) ).
tcf(c_7851,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1087,c_105]) ).
tcf(c_7852,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1087,c_646]) ).
tcf(c_7942,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1135]) ).
tcf(c_7943,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1135]) ).
tcf(c_7944,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1135]) ).
tcf(c_7945,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1135]) ).
tcf(c_7946,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1135]) ).
tcf(c_7947,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1135]) ).
tcf(c_7950,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1135,c_105]) ).
tcf(c_7953,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_7947,c_7301]) ).
tcf(c_7957,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_7946,c_7301]) ).
tcf(c_7961,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_7945,c_7301]) ).
tcf(c_7965,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_7944,c_7301]) ).
tcf(c_7969,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_7943,c_7301]) ).
tcf(c_7973,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_7942,c_7301]) ).
tcf(c_8018,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1167]) ).
tcf(c_8019,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1167]) ).
tcf(c_8020,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1167]) ).
tcf(c_8021,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1167]) ).
tcf(c_8022,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1167]) ).
tcf(c_8023,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1167]) ).
tcf(c_8026,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1167,c_105]) ).
tcf(c_8029,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8023,c_7301]) ).
tcf(c_8033,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8022,c_7301]) ).
tcf(c_8037,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8021,c_7301]) ).
tcf(c_8041,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8020,c_7301]) ).
tcf(c_8045,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8019,c_7301]) ).
tcf(c_8049,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8018,c_7301]) ).
tcf(c_8058,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_4967,c_7320]) ).
tcf(c_8065,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_4969,c_7320]) ).
tcf(c_8072,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5148,c_7320]) ).
tcf(c_8102,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5257,c_7320]) ).
tcf(c_8103,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5257,c_2915]) ).
tcf(c_8104,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_5257,c_1261]) ).
tcf(c_8112,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_7222,c_1020,c_1120,c_1420,c_1844,c_2802,c_3575,c_7222]) ).
tcf(c_8134,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1181,c_105]) ).
tcf(c_8135,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1181,c_2917]) ).
tcf(c_8136,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_8135,c_7385]) ).
tcf(c_8146,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1182,c_105]) ).
tcf(c_8147,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1182,c_2917]) ).
tcf(c_8148,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_8147,c_7385]) ).
tcf(c_8158,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1183,c_105]) ).
tcf(c_8159,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1183,c_2917]) ).
tcf(c_8160,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_8159,c_7385]) ).
tcf(c_8170,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1184,c_105]) ).
tcf(c_8171,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1184,c_2917]) ).
tcf(c_8172,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_8171,c_7385]) ).
tcf(c_8182,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2234,c_1193]) ).
tcf(c_8183,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2229,c_1193]) ).
tcf(c_8184,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2072,c_1193]) ).
tcf(c_8185,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2067,c_1193]) ).
tcf(c_8186,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1713,c_1193]) ).
tcf(c_8187,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1581,c_1193]) ).
tcf(c_8188,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1088,c_1193]) ).
tcf(c_8189,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1075,c_1193]) ).
tcf(c_8190,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1074,c_1193]) ).
tcf(c_8191,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1040,c_1193]) ).
tcf(c_8194,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_657,c_1193]) ).
tcf(c_8195,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_654,c_1193]) ).
tcf(c_8196,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1193,c_647]) ).
tcf(c_8197,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1193,c_645]) ).
tcf(c_8198,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1193,c_644]) ).
tcf(c_8199,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1193,c_105]) ).
tcf(c_8334,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2234,c_1194]) ).
tcf(c_8335,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2229,c_1194]) ).
tcf(c_8336,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2072,c_1194]) ).
tcf(c_8337,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2067,c_1194]) ).
tcf(c_8338,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1713,c_1194]) ).
tcf(c_8339,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1581,c_1194]) ).
tcf(c_8340,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1088,c_1194]) ).
tcf(c_8341,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1075,c_1194]) ).
tcf(c_8342,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1074,c_1194]) ).
tcf(c_8343,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1040,c_1194]) ).
tcf(c_8346,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_657,c_1194]) ).
tcf(c_8347,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_654,c_1194]) ).
tcf(c_8348,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1194,c_647]) ).
tcf(c_8349,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1194,c_645]) ).
tcf(c_8350,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1194,c_644]) ).
tcf(c_8351,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1194,c_105]) ).
tcf(c_8459,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_657,c_1195]) ).
tcf(c_8460,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_654,c_1195]) ).
tcf(c_8461,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1195,c_647]) ).
tcf(c_8462,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1195,c_645]) ).
tcf(c_8463,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1195,c_644]) ).
tcf(c_8464,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1195,c_105]) ).
tcf(c_8515,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_657,c_1196]) ).
tcf(c_8516,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_654,c_1196]) ).
tcf(c_8517,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1196,c_647]) ).
tcf(c_8518,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1196,c_645]) ).
tcf(c_8519,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1196,c_644]) ).
tcf(c_8520,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1196,c_105]) ).
tcf(c_8552,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1197,c_105]) ).
tcf(c_8568,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1198,c_105]) ).
tcf(c_8576,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1211,c_105]) ).
tcf(c_8577,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1211,c_2918]) ).
tcf(c_8649,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5260,c_7320]) ).
tcf(c_8650,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5260,c_2915]) ).
tcf(c_8651,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_5260,c_1261]) ).
tcf(c_8665,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5744,c_7320]) ).
tcf(c_8666,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5744,c_2915]) ).
tcf(c_8667,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_5744,c_1261]) ).
tcf(c_8675,plain,
! [X0: $i] :
( ( X0 = inverse(sk_c2) )
| ( X0 != iPr_def_17 )
| ( inverse(sk_c2) != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_2531]) ).
tcf(c_8676,plain,
( ( sk_c10 = inverse(sk_c2) )
| ( sk_c10 != iPr_def_17 )
| ( inverse(sk_c2) != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_1742]) ).
tcf(c_8687,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5748,c_7320]) ).
tcf(c_8688,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5748,c_2915]) ).
tcf(c_8689,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_5748,c_1261]) ).
tcf(c_8705,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5863,c_7320]) ).
tcf(c_8706,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5863,c_2915]) ).
tcf(c_8707,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_5863,c_1261]) ).
tcf(c_8723,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1212,c_105]) ).
tcf(c_8724,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1212,c_2918]) ).
tcf(c_8733,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1213,c_105]) ).
tcf(c_8734,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1213,c_2918]) ).
tcf(c_8743,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1214,c_105]) ).
tcf(c_8744,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1214,c_2918]) ).
tcf(c_8753,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1223,c_105]) ).
tcf(c_8754,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1223,c_2919]) ).
tcf(c_8755,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_8754,c_7556]) ).
tcf(c_8769,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1224,c_105]) ).
tcf(c_8770,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1224,c_2919]) ).
tcf(c_8771,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_8770,c_7556]) ).
tcf(c_8781,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1229,c_105]) ).
tcf(c_8782,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1229,c_2920]) ).
tcf(c_8783,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_8782,c_7630]) ).
tcf(c_8793,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1230,c_105]) ).
tcf(c_8794,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1230,c_2920]) ).
tcf(c_8795,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_8794,c_7630]) ).
tcf(c_8805,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1231,c_105]) ).
tcf(c_8806,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1231,c_2920]) ).
tcf(c_8807,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_8806,c_7630]) ).
tcf(c_8819,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1232,c_105]) ).
tcf(c_8820,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1232,c_2920]) ).
tcf(c_8821,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_8820,c_7630]) ).
tcf(c_8831,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1233,c_105]) ).
tcf(c_8832,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1233,c_2920]) ).
tcf(c_8833,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_8832,c_7630]) ).
tcf(c_8843,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1244,c_105]) ).
tcf(c_8844,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1244,c_2914]) ).
tcf(c_8853,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1245,c_105]) ).
tcf(c_8854,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1245,c_2914]) ).
tcf(c_8869,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6085,c_7320]) ).
tcf(c_8870,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6085,c_2915]) ).
tcf(c_8871,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_6085,c_1261]) ).
tcf(c_8889,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6577,c_7320]) ).
tcf(c_8890,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6577,c_2915]) ).
tcf(c_8891,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_6577,c_1261]) ).
tcf(c_8909,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6580,c_7320]) ).
tcf(c_8910,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6580,c_2915]) ).
tcf(c_8911,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_6580,c_1261]) ).
tcf(c_8933,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6787,c_7320]) ).
tcf(c_8934,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6787,c_2915]) ).
tcf(c_8935,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_6787,c_1261]) ).
tcf(c_8947,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1250,c_105]) ).
tcf(c_8948,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1250,c_2915]) ).
tcf(c_8957,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1251,c_105]) ).
tcf(c_8958,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1251,c_2915]) ).
tcf(c_8967,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1270,c_105]) ).
tcf(c_8968,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1270,c_2920]) ).
tcf(c_8969,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_8968,c_7630]) ).
tcf(c_8985,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1272]) ).
tcf(c_8986,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1272]) ).
tcf(c_8987,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1272]) ).
tcf(c_8988,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1272]) ).
tcf(c_8989,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1272]) ).
tcf(c_8990,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1272]) ).
tcf(c_8993,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1272,c_105]) ).
tcf(c_8996,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8990,c_7301]) ).
tcf(c_9000,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8989,c_7301]) ).
tcf(c_9004,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8988,c_7301]) ).
tcf(c_9008,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8987,c_7301]) ).
tcf(c_9012,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8986,c_7301]) ).
tcf(c_9016,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8985,c_7301]) ).
tcf(c_9025,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1303,c_105]) ).
tcf(c_9026,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1303,c_2920]) ).
tcf(c_9027,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_9026,c_7630]) ).
tcf(c_9043,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1305]) ).
tcf(c_9044,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1305]) ).
tcf(c_9045,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1305]) ).
tcf(c_9046,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1305]) ).
tcf(c_9047,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1305]) ).
tcf(c_9048,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1305]) ).
tcf(c_9051,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1305,c_105]) ).
tcf(c_9054,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9048,c_7301]) ).
tcf(c_9058,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9047,c_7301]) ).
tcf(c_9062,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9046,c_7301]) ).
tcf(c_9066,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9045,c_7301]) ).
tcf(c_9070,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9044,c_7301]) ).
tcf(c_9074,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9043,c_7301]) ).
tcf(c_9083,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1341,c_105]) ).
tcf(c_9084,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1341,c_2920]) ).
tcf(c_9085,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_9084,c_7630]) ).
tcf(c_9101,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1343]) ).
tcf(c_9102,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1343]) ).
tcf(c_9103,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1343]) ).
tcf(c_9104,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1343]) ).
tcf(c_9105,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1343]) ).
tcf(c_9106,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1343]) ).
tcf(c_9109,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1343,c_105]) ).
tcf(c_9112,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9106,c_7301]) ).
tcf(c_9116,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9105,c_7301]) ).
tcf(c_9120,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9104,c_7301]) ).
tcf(c_9124,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9103,c_7301]) ).
tcf(c_9128,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9102,c_7301]) ).
tcf(c_9132,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9101,c_7301]) ).
tcf(c_9141,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1388,c_105]) ).
tcf(c_9142,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1388,c_2918]) ).
tcf(c_9143,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_9142,c_7390]) ).
tcf(c_9153,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2234,c_1389]) ).
tcf(c_9154,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2229,c_1389]) ).
tcf(c_9155,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2072,c_1389]) ).
tcf(c_9156,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2067,c_1389]) ).
tcf(c_9157,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1713,c_1389]) ).
tcf(c_9158,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1581,c_1389]) ).
tcf(c_9159,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1088,c_1389]) ).
tcf(c_9160,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1075,c_1389]) ).
tcf(c_9161,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1074,c_1389]) ).
tcf(c_9162,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1040,c_1389]) ).
tcf(c_9167,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1389,c_647]) ).
tcf(c_9168,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1389,c_645]) ).
tcf(c_9169,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1389,c_644]) ).
tcf(c_9170,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1389,c_105]) ).
tcf(c_9220,plain,
! [X0: $i] :
( ( X0 = inverse(sk_c4) )
| ( X0 != iPr_def_23 )
| ( inverse(sk_c4) != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_2531]) ).
tcf(c_9221,plain,
( ( sk_c10 = inverse(sk_c4) )
| ( sk_c10 != iPr_def_23 )
| ( inverse(sk_c4) != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_1742]) ).
tcf(c_9228,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1390,c_105]) ).
tcf(c_9229,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1390,c_2917]) ).
tcf(c_9244,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1444,c_105]) ).
tcf(c_9245,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1444,c_2920]) ).
tcf(c_9246,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_9245,c_7630]) ).
tcf(c_9270,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6790,c_7320]) ).
tcf(c_9271,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6790,c_2915]) ).
tcf(c_9272,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_6790,c_1261]) ).
tcf(c_9294,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_7001,c_7320]) ).
tcf(c_9295,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7001,c_2915]) ).
tcf(c_9296,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_7001,c_1261]) ).
tcf(c_9320,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_7132,c_7320]) ).
tcf(c_9321,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7132,c_2915]) ).
tcf(c_9322,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_7132,c_1261]) ).
tcf(c_9361,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1448]) ).
tcf(c_9362,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1448]) ).
tcf(c_9363,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1448]) ).
tcf(c_9364,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1448]) ).
tcf(c_9365,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1448]) ).
tcf(c_9366,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1448]) ).
tcf(c_9375,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1448,c_105]) ).
tcf(c_9471,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1496,c_105]) ).
tcf(c_9472,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1496,c_2918]) ).
tcf(c_9473,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_9472,c_7390]) ).
tcf(c_9483,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2234,c_1497]) ).
tcf(c_9484,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2229,c_1497]) ).
tcf(c_9485,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2072,c_1497]) ).
tcf(c_9486,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2067,c_1497]) ).
tcf(c_9487,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1713,c_1497]) ).
tcf(c_9488,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1581,c_1497]) ).
tcf(c_9489,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1088,c_1497]) ).
tcf(c_9490,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1075,c_1497]) ).
tcf(c_9491,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1074,c_1497]) ).
tcf(c_9492,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1040,c_1497]) ).
tcf(c_9497,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1497,c_647]) ).
tcf(c_9498,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1497,c_645]) ).
tcf(c_9499,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1497,c_644]) ).
tcf(c_9500,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1497,c_105]) ).
tcf(c_9569,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1498,c_105]) ).
tcf(c_9570,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1498,c_2917]) ).
tcf(c_9585,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1537,c_105]) ).
tcf(c_9586,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1537,c_2920]) ).
tcf(c_9587,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_9586,c_7630]) ).
tcf(c_9603,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1541]) ).
tcf(c_9604,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1541]) ).
tcf(c_9605,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1541]) ).
tcf(c_9606,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1541]) ).
tcf(c_9607,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1541]) ).
tcf(c_9608,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1541]) ).
tcf(c_9617,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1541,c_105]) ).
tcf(c_9645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) = multiply(X0,X1) )
| ( inverse(X3) != multiply(identity,inverse(X2)) )
| ( multiply(X0,X1) != multiply(identity,inverse(X2)) ) ),
inference(instantiation,[status(thm)],[c_4518]) ).
tcf(c_9646,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,X1) = multiply(identity,inverse(X2)) )
| ( X1 != inverse(X2) )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_9647,plain,
( ( inverse(sk_c10) = multiply(sk_c10,sk_c10) )
| ( inverse(sk_c10) != multiply(identity,inverse(sk_c10)) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,inverse(sk_c10)) ) ),
inference(instantiation,[status(thm)],[c_9645]) ).
tcf(c_9648,plain,
( ( multiply(sk_c10,sk_c10) = multiply(identity,inverse(sk_c10)) )
| ( sk_c10 != identity )
| ( sk_c10 != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_9646]) ).
tcf(c_9709,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1582,c_105]) ).
tcf(c_9710,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1582,c_2920]) ).
tcf(c_9711,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_9710,c_7630]) ).
tcf(c_9727,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1586]) ).
tcf(c_9728,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1586]) ).
tcf(c_9729,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1586]) ).
tcf(c_9730,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1586]) ).
tcf(c_9731,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1586]) ).
tcf(c_9732,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1586]) ).
tcf(c_9741,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1586,c_105]) ).
tcf(c_9766,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c2 )
| ( sk_c2 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_9778,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1646,c_105]) ).
tcf(c_9779,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1646,c_2920]) ).
tcf(c_9780,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_9779,c_7630]) ).
tcf(c_9796,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1650]) ).
tcf(c_9797,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1650]) ).
tcf(c_9798,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1650]) ).
tcf(c_9799,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1650]) ).
tcf(c_9800,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1650]) ).
tcf(c_9801,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1650]) ).
tcf(c_9810,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1650,c_105]) ).
tcf(c_9843,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1683,c_105]) ).
tcf(c_9849,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1684,c_105]) ).
tcf(c_9964,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1685,c_105]) ).
tcf(c_9970,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1686,c_105]) ).
tcf(c_9976,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1687,c_105]) ).
tcf(c_9982,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1688,c_105]) ).
tcf(c_9994,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1716,c_105]) ).
tcf(c_9995,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1716,c_2920]) ).
tcf(c_9996,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_9995,c_7630]) ).
tcf(c_10013,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1720]) ).
tcf(c_10014,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1720]) ).
tcf(c_10015,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1720]) ).
tcf(c_10016,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1720]) ).
tcf(c_10017,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1720]) ).
tcf(c_10018,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1720]) ).
tcf(c_10027,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1720,c_105]) ).
tcf(c_10066,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1757,c_105]) ).
tcf(c_10089,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1797,c_105]) ).
tcf(c_10090,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1797,c_2918]) ).
tcf(c_10091,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_10090,c_7390]) ).
tcf(c_10102,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2234,c_1798]) ).
tcf(c_10103,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2229,c_1798]) ).
tcf(c_10104,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2072,c_1798]) ).
tcf(c_10105,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2067,c_1798]) ).
tcf(c_10106,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1713,c_1798]) ).
tcf(c_10107,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1581,c_1798]) ).
tcf(c_10108,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1088,c_1798]) ).
tcf(c_10109,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1075,c_1798]) ).
tcf(c_10110,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1074,c_1798]) ).
tcf(c_10111,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1040,c_1798]) ).
tcf(c_10116,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1798,c_647]) ).
tcf(c_10117,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1798,c_645]) ).
tcf(c_10118,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1798,c_644]) ).
tcf(c_10119,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1798,c_105]) ).
tcf(c_10216,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1799,c_105]) ).
tcf(c_10217,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1799,c_2917]) ).
tcf(c_10226,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1845,c_105]) ).
tcf(c_10244,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1881,c_105]) ).
tcf(c_10245,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1881,c_2920]) ).
tcf(c_10246,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_10245,c_7630]) ).
tcf(c_10511,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1885]) ).
tcf(c_10512,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1885]) ).
tcf(c_10513,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1885]) ).
tcf(c_10514,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1885]) ).
tcf(c_10515,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1885]) ).
tcf(c_10516,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1885]) ).
tcf(c_10531,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1885,c_105]) ).
tcf(c_10564,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1949,c_105]) ).
tcf(c_10565,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1949,c_2918]) ).
tcf(c_10566,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_10565,c_7390]) ).
tcf(c_10578,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2234,c_1950]) ).
tcf(c_10579,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2229,c_1950]) ).
tcf(c_10580,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2072,c_1950]) ).
tcf(c_10581,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2067,c_1950]) ).
tcf(c_10582,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1713,c_1950]) ).
tcf(c_10583,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1581,c_1950]) ).
tcf(c_10584,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1088,c_1950]) ).
tcf(c_10585,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1075,c_1950]) ).
tcf(c_10586,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1074,c_1950]) ).
tcf(c_10587,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1040,c_1950]) ).
tcf(c_10592,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1950,c_647]) ).
tcf(c_10593,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1950,c_645]) ).
tcf(c_10594,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1950,c_644]) ).
tcf(c_10595,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1950,c_105]) ).
tcf(c_10680,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1951,c_105]) ).
tcf(c_10681,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1951,c_2917]) ).
tcf(c_10709,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1992,c_105]) ).
tcf(c_10710,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1992,c_2920]) ).
tcf(c_10711,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_10710,c_7630]) ).
tcf(c_10729,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_1996]) ).
tcf(c_10730,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_1996]) ).
tcf(c_10731,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_1996]) ).
tcf(c_10732,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_1996]) ).
tcf(c_10733,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_1996]) ).
tcf(c_10734,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_1996]) ).
tcf(c_10749,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1996,c_105]) ).
tcf(c_10818,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_2073,c_105]) ).
tcf(c_10819,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2073,c_2920]) ).
tcf(c_10820,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_10819,c_7630]) ).
tcf(c_10838,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_2077]) ).
tcf(c_10839,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_2077]) ).
tcf(c_10840,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_2077]) ).
tcf(c_10841,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_2077]) ).
tcf(c_10842,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_2077]) ).
tcf(c_10843,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_2077]) ).
tcf(c_10858,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2077,c_105]) ).
tcf(c_10923,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_2169,c_105]) ).
tcf(c_10924,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2169,c_2920]) ).
tcf(c_10925,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_10924,c_7630]) ).
tcf(c_10972,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_2173]) ).
tcf(c_10973,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_2173]) ).
tcf(c_10974,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_2173]) ).
tcf(c_10975,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_2173]) ).
tcf(c_10976,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_2173]) ).
tcf(c_10977,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_2173]) ).
tcf(c_10992,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2173,c_105]) ).
tcf(c_11030,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_2237,c_105]) ).
tcf(c_11031,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2237,c_2920]) ).
tcf(c_11032,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_11031,c_7630]) ).
tcf(c_11050,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1088,c_2241]) ).
tcf(c_11051,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1075,c_2241]) ).
tcf(c_11052,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1074,c_2241]) ).
tcf(c_11053,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1040,c_2241]) ).
tcf(c_11054,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1032,c_2241]) ).
tcf(c_11055,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1020,c_2241]) ).
tcf(c_11070,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2241,c_105]) ).
tcf(c_11415,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2283,c_105]) ).
tcf(c_11421,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2361,c_105]) ).
tcf(c_11427,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_4718,c_105]) ).
tcf(c_11435,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_4719,c_105]) ).
tcf(c_11443,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_4720,c_105]) ).
tcf(c_11457,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_7265,c_105]) ).
tcf(c_11465,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_7546,c_105]) ).
tcf(c_11484,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_7794,c_105]) ).
tcf(c_11492,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_2857,c_105]) ).
tcf(c_11493,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2857,c_2915]) ).
tcf(c_11502,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2858,c_105]) ).
tcf(c_11503,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2858,c_2914]) ).
tcf(c_11512,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2859,c_105]) ).
tcf(c_11513,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2859,c_2919]) ).
tcf(c_11548,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2860,c_105]) ).
tcf(c_11746,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8459,c_105]) ).
tcf(c_11754,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8460,c_105]) ).
tcf(c_11762,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8515,c_105]) ).
tcf(c_11770,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8516,c_105]) ).
tcf(c_11818,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1844,c_2862]) ).
tcf(c_11823,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1420,c_2862]) ).
tcf(c_11824,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1155,c_2862]) ).
tcf(c_11825,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1120,c_2862]) ).
tcf(c_11844,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2862,c_105]) ).
tcf(c_11845,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2862,c_646]) ).
tcf(c_11846,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_11825,c_7301]) ).
tcf(c_11871,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2234,c_2894]) ).
tcf(c_11872,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2229,c_2894]) ).
tcf(c_11873,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2072,c_2894]) ).
tcf(c_11874,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2067,c_2894]) ).
tcf(c_11875,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1713,c_2894]) ).
tcf(c_11876,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1581,c_2894]) ).
tcf(c_11877,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1088,c_2894]) ).
tcf(c_11878,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1075,c_2894]) ).
tcf(c_11879,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1074,c_2894]) ).
tcf(c_11880,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1040,c_2894]) ).
tcf(c_11881,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1032,c_2894]) ).
tcf(c_11894,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2167,c_2894]) ).
tcf(c_11895,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2162,c_2894]) ).
tcf(c_11896,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1993,c_2894]) ).
tcf(c_11897,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1987,c_2894]) ).
tcf(c_11898,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1947,c_2894]) ).
tcf(c_11899,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1883,c_2894]) ).
tcf(c_11900,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1877,c_2894]) ).
tcf(c_11901,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1844,c_2894]) ).
tcf(c_11902,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1644,c_2894]) ).
tcf(c_11903,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1538,c_2894]) ).
tcf(c_11904,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1495,c_2894]) ).
tcf(c_11905,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1446,c_2894]) ).
tcf(c_11906,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1420,c_2894]) ).
tcf(c_11907,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1155,c_2894]) ).
tcf(c_11908,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1120,c_2894]) ).
tcf(c_11927,plain,
! [X0: $i,X1: $i] : multiply(sk_c10,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1),
inference(superposition,[status(thm)],[c_2894,c_105]) ).
tcf(c_12099,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_2167,c_2895]) ).
tcf(c_12100,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_2162,c_2895]) ).
tcf(c_12101,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1993,c_2895]) ).
tcf(c_12102,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1987,c_2895]) ).
tcf(c_12103,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1947,c_2895]) ).
tcf(c_12104,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1883,c_2895]) ).
tcf(c_12105,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1877,c_2895]) ).
tcf(c_12106,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1844,c_2895]) ).
tcf(c_12107,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1644,c_2895]) ).
tcf(c_12108,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1538,c_2895]) ).
tcf(c_12109,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1495,c_2895]) ).
tcf(c_12110,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1446,c_2895]) ).
tcf(c_12111,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1420,c_2895]) ).
tcf(c_12112,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1155,c_2895]) ).
tcf(c_12113,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1120,c_2895]) ).
tcf(c_12132,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_26,X0),X1),
inference(superposition,[status(thm)],[c_2895,c_105]) ).
tcf(c_12244,plain,
multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,sk_c11),
inference(superposition,[status(thm)],[c_627,c_2896]) ).
tcf(c_12245,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1053,c_2896]) ).
tcf(c_12246,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1054,c_2896]) ).
tcf(c_12247,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1073,c_2896]) ).
tcf(c_12248,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1343,c_2896]) ).
tcf(c_12249,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1305,c_2896]) ).
tcf(c_12250,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1272,c_2896]) ).
tcf(c_12251,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1167,c_2896]) ).
tcf(c_12252,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1135,c_2896]) ).
tcf(c_12253,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1720,c_2896]) ).
tcf(c_12254,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1650,c_2896]) ).
tcf(c_12255,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1586,c_2896]) ).
tcf(c_12256,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1541,c_2896]) ).
tcf(c_12257,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1448,c_2896]) ).
tcf(c_12258,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2241,c_2896]) ).
tcf(c_12259,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2173,c_2896]) ).
tcf(c_12260,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2077,c_2896]) ).
tcf(c_12261,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_1996,c_2896]) ).
tcf(c_12262,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_1885,c_2896]) ).
tcf(c_12263,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_2894,c_2896]) ).
tcf(c_12266,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2234,c_2896]) ).
tcf(c_12267,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2229,c_2896]) ).
tcf(c_12268,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2072,c_2896]) ).
tcf(c_12269,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2067,c_2896]) ).
tcf(c_12270,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1713,c_2896]) ).
tcf(c_12271,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1581,c_2896]) ).
tcf(c_12272,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1088,c_2896]) ).
tcf(c_12273,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1075,c_2896]) ).
tcf(c_12274,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1074,c_2896]) ).
tcf(c_12275,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1040,c_2896]) ).
tcf(c_12276,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1032,c_2896]) ).
tcf(c_12280,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1),
inference(superposition,[status(thm)],[c_2896,c_105]) ).
tcf(c_12801,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,sk_c11),X0) = multiply(sk_c4,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_12244,c_105]) ).
tcf(c_12802,plain,
multiply(iPr_def_23,multiply(iPr_def_24,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_12244,c_2919]) ).
tcf(c_12803,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,sk_c11),X0) = multiply(iPr_def_24,multiply(sk_c11,X0)),
inference(light_normalisation,[status(thm)],[c_12801,c_12263]) ).
tcf(c_12804,plain,
multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,sk_c10),
inference(superposition,[status(thm)],[c_632,c_2897]) ).
tcf(c_12805,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1197,c_2897]) ).
tcf(c_12806,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1198,c_2897]) ).
tcf(c_12807,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2860,c_2897]) ).
tcf(c_12822,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_22,X0),X1),
inference(superposition,[status(thm)],[c_2897,c_105]) ).
tcf(c_12837,plain,
! [X0: $i] : multiply(multiply(iPr_def_22,sk_c10),X0) = multiply(sk_c5,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_12804,c_105]) ).
tcf(c_12838,plain,
multiply(iPr_def_21,multiply(iPr_def_22,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_12804,c_2918]) ).
tcf(c_12854,plain,
multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,sk_c11),
inference(superposition,[status(thm)],[c_627,c_2898]) ).
tcf(c_12855,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1053,c_2898]) ).
tcf(c_12856,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1054,c_2898]) ).
tcf(c_12857,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1073,c_2898]) ).
tcf(c_12858,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1343,c_2898]) ).
tcf(c_12859,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1305,c_2898]) ).
tcf(c_12860,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1272,c_2898]) ).
tcf(c_12861,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1167,c_2898]) ).
tcf(c_12862,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1135,c_2898]) ).
tcf(c_12863,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1720,c_2898]) ).
tcf(c_12864,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1650,c_2898]) ).
tcf(c_12865,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1586,c_2898]) ).
tcf(c_12866,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1541,c_2898]) ).
tcf(c_12867,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1448,c_2898]) ).
tcf(c_12868,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2241,c_2898]) ).
tcf(c_12869,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2173,c_2898]) ).
tcf(c_12870,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2077,c_2898]) ).
tcf(c_12871,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_1996,c_2898]) ).
tcf(c_12872,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_1885,c_2898]) ).
tcf(c_12873,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_2894,c_2898]) ).
tcf(c_12876,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2234,c_2898]) ).
tcf(c_12877,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2229,c_2898]) ).
tcf(c_12878,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2072,c_2898]) ).
tcf(c_12879,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2067,c_2898]) ).
tcf(c_12880,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1713,c_2898]) ).
tcf(c_12881,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1581,c_2898]) ).
tcf(c_12882,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1088,c_2898]) ).
tcf(c_12883,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1075,c_2898]) ).
tcf(c_12884,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1074,c_2898]) ).
tcf(c_12885,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1040,c_2898]) ).
tcf(c_12886,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1032,c_2898]) ).
tcf(c_12890,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1),
inference(superposition,[status(thm)],[c_2898,c_105]) ).
tcf(c_12891,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_22,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_2898,c_2897]) ).
tcf(c_12993,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c4 )
| ( sk_c4 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_13012,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_642]) ).
tcf(c_13013,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_642]) ).
tcf(c_13015,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_642]) ).
tcf(c_13016,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_693,c_642]) ).
tcf(c_13018,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_642]) ).
tcf(c_13019,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_689,c_642]) ).
tcf(c_13104,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c1 )
| ( sk_c1 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_13384,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_682,c_12854]) ).
tcf(c_13385,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,sk_c11) ) ),
inference(superposition,[status(thm)],[c_679,c_12854]) ).
tcf(c_13386,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_672,c_12854]) ).
tcf(c_13387,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,sk_c11) ) ),
inference(superposition,[status(thm)],[c_669,c_12854]) ).
tcf(c_13388,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_662,c_12854]) ).
tcf(c_13389,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,sk_c11) ) ),
inference(superposition,[status(thm)],[c_659,c_12854]) ).
tcf(c_13390,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_652,c_12854]) ).
tcf(c_13391,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,sk_c11) ) ),
inference(superposition,[status(thm)],[c_649,c_12854]) ).
tcf(c_13392,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(sk_c8,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_12854,c_105]) ).
tcf(c_13393,plain,
multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = multiply(iPr_def_22,iPr_def_15),
inference(superposition,[status(thm)],[c_12854,c_2897]) ).
tcf(c_13394,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)),
inference(light_normalisation,[status(thm)],[c_13392,c_12873]) ).
tcf(c_13432,plain,
multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,sk_c10),
inference(superposition,[status(thm)],[c_632,c_2899]) ).
tcf(c_13433,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1197,c_2899]) ).
tcf(c_13434,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1198,c_2899]) ).
tcf(c_13435,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2860,c_2899]) ).
tcf(c_13436,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_2898,c_2899]) ).
tcf(c_13437,plain,
multiply(sk_c7,multiply(iPr_def_20,sk_c11)) = multiply(iPr_def_16,iPr_def_15),
inference(superposition,[status(thm)],[c_12854,c_2899]) ).
tcf(c_13454,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1),
inference(superposition,[status(thm)],[c_2899,c_105]) ).
tcf(c_13496,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,sk_c10),X0) = multiply(sk_c7,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_13432,c_105]) ).
tcf(c_13497,plain,
multiply(iPr_def_19,multiply(iPr_def_16,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_13432,c_2917]) ).
tcf(c_13498,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,sk_c10),X0) = multiply(iPr_def_16,multiply(sk_c10,X0)),
inference(light_normalisation,[status(thm)],[c_13496,c_13436]) ).
tcf(c_13499,plain,
multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,sk_c11),
inference(superposition,[status(thm)],[c_627,c_2900]) ).
tcf(c_13500,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1053,c_2900]) ).
tcf(c_13501,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1054,c_2900]) ).
tcf(c_13502,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1073,c_2900]) ).
tcf(c_13503,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1343,c_2900]) ).
tcf(c_13504,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1305,c_2900]) ).
tcf(c_13505,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1272,c_2900]) ).
tcf(c_13506,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1167,c_2900]) ).
tcf(c_13507,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1135,c_2900]) ).
tcf(c_13508,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1720,c_2900]) ).
tcf(c_13509,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1650,c_2900]) ).
tcf(c_13510,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1586,c_2900]) ).
tcf(c_13511,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1541,c_2900]) ).
tcf(c_13512,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1448,c_2900]) ).
tcf(c_13513,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2241,c_2900]) ).
tcf(c_13514,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2173,c_2900]) ).
tcf(c_13515,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2077,c_2900]) ).
tcf(c_13516,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_1996,c_2900]) ).
tcf(c_13517,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_1885,c_2900]) ).
tcf(c_13518,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_2894,c_2900]) ).
tcf(c_13521,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_2234,c_2900]) ).
tcf(c_13522,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_2229,c_2900]) ).
tcf(c_13523,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_2072,c_2900]) ).
tcf(c_13524,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_2067,c_2900]) ).
tcf(c_13525,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1713,c_2900]) ).
tcf(c_13526,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1581,c_2900]) ).
tcf(c_13527,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1088,c_2900]) ).
tcf(c_13528,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1075,c_2900]) ).
tcf(c_13529,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1074,c_2900]) ).
tcf(c_13530,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1040,c_2900]) ).
tcf(c_13531,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1032,c_2900]) ).
tcf(c_13535,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_28,X0),X1),
inference(superposition,[status(thm)],[c_2900,c_105]) ).
tcf(c_13987,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_11846,c_2900]) ).
tcf(c_13988,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_11846,c_2898]) ).
tcf(c_13989,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_11846,c_2896]) ).
tcf(c_13990,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_11846,c_2894]) ).
tcf(c_13991,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_2241]) ).
tcf(c_13992,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_2173]) ).
tcf(c_13993,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_2077]) ).
tcf(c_13994,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1996]) ).
tcf(c_13996,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1885]) ).
tcf(c_13999,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1720]) ).
tcf(c_14001,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1650]) ).
tcf(c_14002,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1586]) ).
tcf(c_14003,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1541]) ).
tcf(c_14005,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1448]) ).
tcf(c_14007,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1343]) ).
tcf(c_14008,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1305]) ).
tcf(c_14009,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1272]) ).
tcf(c_14014,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1167]) ).
tcf(c_14015,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_1135]) ).
tcf(c_14025,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_11846,c_647]) ).
tcf(c_14026,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_11846,c_645]) ).
tcf(c_14032,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_11846,c_1020]) ).
tcf(c_14033,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_11846,c_644]) ).
tcf(c_14034,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_640]) ).
tcf(c_14035,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_639]) ).
tcf(c_14036,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11846,c_636]) ).
tcf(c_14037,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_11846,c_632]) ).
tcf(c_14038,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_11846,c_657]) ).
tcf(c_14039,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_627]) ).
tcf(c_14040,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_11846,c_654]) ).
tcf(c_14045,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_14037,c_12854]) ).
tcf(c_14048,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_14036,c_12244]) ).
tcf(c_14053,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_14034,c_13499]) ).
tcf(c_14109,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_13989,c_12263]) ).
tcf(c_14112,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_13988,c_12873]) ).
tcf(c_14115,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_13987,c_13518]) ).
tcf(c_14256,plain,
! [X0: $i] : multiply(multiply(iPr_def_28,sk_c11),X0) = multiply(sk_c1,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_13499,c_105]) ).
tcf(c_14257,plain,
multiply(iPr_def_29,multiply(iPr_def_28,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_13499,c_2915]) ).
tcf(c_14258,plain,
! [X0: $i] : multiply(multiply(iPr_def_28,sk_c11),X0) = multiply(iPr_def_28,multiply(sk_c11,X0)),
inference(light_normalisation,[status(thm)],[c_14256,c_13518]) ).
tcf(c_14259,plain,
multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,sk_c11),
inference(superposition,[status(thm)],[c_627,c_2901]) ).
tcf(c_14260,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1053,c_2901]) ).
tcf(c_14261,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1054,c_2901]) ).
tcf(c_14262,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1073,c_2901]) ).
tcf(c_14263,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1343,c_2901]) ).
tcf(c_14264,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1305,c_2901]) ).
tcf(c_14265,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1272,c_2901]) ).
tcf(c_14266,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1167,c_2901]) ).
tcf(c_14267,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_1135,c_2901]) ).
tcf(c_14268,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1720,c_2901]) ).
tcf(c_14269,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1650,c_2901]) ).
tcf(c_14270,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1586,c_2901]) ).
tcf(c_14271,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1541,c_2901]) ).
tcf(c_14272,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1448,c_2901]) ).
tcf(c_14273,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2241,c_2901]) ).
tcf(c_14274,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2173,c_2901]) ).
tcf(c_14275,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2077,c_2901]) ).
tcf(c_14276,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_1996,c_2901]) ).
tcf(c_14277,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_1885,c_2901]) ).
tcf(c_14278,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_2894,c_2901]) ).
tcf(c_14279,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_11846,c_2901]) ).
tcf(c_14282,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2234,c_2901]) ).
tcf(c_14283,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2229,c_2901]) ).
tcf(c_14284,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2072,c_2901]) ).
tcf(c_14285,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2067,c_2901]) ).
tcf(c_14286,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1713,c_2901]) ).
tcf(c_14287,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1581,c_2901]) ).
tcf(c_14288,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1088,c_2901]) ).
tcf(c_14289,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1075,c_2901]) ).
tcf(c_14290,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1074,c_2901]) ).
tcf(c_14291,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1040,c_2901]) ).
tcf(c_14292,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1032,c_2901]) ).
tcf(c_14296,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_27,X0),X1),
inference(superposition,[status(thm)],[c_2901,c_105]) ).
tcf(c_14427,plain,
! [X0: $i] : multiply(multiply(iPr_def_27,sk_c11),X0) = multiply(sk_c2,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_14259,c_105]) ).
tcf(c_14428,plain,
multiply(iPr_def_17,multiply(iPr_def_27,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_14259,c_2914]) ).
tcf(c_14429,plain,
! [X0: $i] : multiply(multiply(iPr_def_27,sk_c11),X0) = multiply(iPr_def_27,multiply(sk_c11,X0)),
inference(light_normalisation,[status(thm)],[c_14427,c_14278]) ).
tcf(c_14435,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3023,c_2915]) ).
tcf(c_14451,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_14032,c_7385]) ).
tcf(c_14452,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c7,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_14032,c_2917]) ).
tcf(c_14453,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c7) = identity ) ),
inference(superposition,[status(thm)],[c_14032,c_1259]) ).
tcf(c_14480,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3024,c_2914]) ).
tcf(c_14487,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3025,c_2919]) ).
tcf(c_14510,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3026,c_2899]) ).
tcf(c_14511,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3026,c_2897]) ).
tcf(c_14512,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_14511,c_12804]) ).
tcf(c_14515,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_14510,c_13432]) ).
tcf(c_14544,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1947,c_3028]) ).
tcf(c_14550,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1495,c_3028]) ).
tcf(c_14553,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1155,c_3028]) ).
tcf(c_14574,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3028,c_646]) ).
tcf(c_14575,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_14553,c_7301]) ).
tcf(c_14623,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_14575,c_2901]) ).
tcf(c_14624,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_14575,c_2900]) ).
tcf(c_14625,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_14575,c_2898]) ).
tcf(c_14626,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_14575,c_2896]) ).
tcf(c_14627,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_14575,c_2894]) ).
tcf(c_14628,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_2241]) ).
tcf(c_14629,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_2173]) ).
tcf(c_14630,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_2077]) ).
tcf(c_14631,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1996]) ).
tcf(c_14633,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1885]) ).
tcf(c_14636,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1720]) ).
tcf(c_14638,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1650]) ).
tcf(c_14639,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1586]) ).
tcf(c_14640,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1541]) ).
tcf(c_14642,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1448]) ).
tcf(c_14644,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1343]) ).
tcf(c_14645,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1305]) ).
tcf(c_14646,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1272]) ).
tcf(c_14651,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1167]) ).
tcf(c_14652,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_1135]) ).
tcf(c_14662,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_14575,c_647]) ).
tcf(c_14663,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14575,c_645]) ).
tcf(c_14668,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_14575,c_1032]) ).
tcf(c_14670,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14575,c_644]) ).
tcf(c_14671,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_640]) ).
tcf(c_14672,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_639]) ).
tcf(c_14673,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_14575,c_636]) ).
tcf(c_14674,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14575,c_632]) ).
tcf(c_14675,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_14575,c_657]) ).
tcf(c_14676,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_627]) ).
tcf(c_14677,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_14575,c_654]) ).
tcf(c_14682,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_14674,c_12854]) ).
tcf(c_14685,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_14673,c_12244]) ).
tcf(c_14688,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_14672,c_14259]) ).
tcf(c_14691,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_14671,c_13499]) ).
tcf(c_14747,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_14626,c_12263]) ).
tcf(c_14750,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_14625,c_12873]) ).
tcf(c_14753,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_14624,c_13518]) ).
tcf(c_14756,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_14623,c_14278]) ).
tcf(c_14839,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_14668,c_7390]) ).
tcf(c_14840,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c5,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_14668,c_2918]) ).
tcf(c_14841,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c5) = identity ) ),
inference(superposition,[status(thm)],[c_14668,c_1258]) ).
tcf(c_14898,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3100,c_2915]) ).
tcf(c_14905,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3101,c_2914]) ).
tcf(c_14912,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3102,c_2919]) ).
tcf(c_14935,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3103,c_2899]) ).
tcf(c_14936,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3103,c_2897]) ).
tcf(c_14937,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_14936,c_12804]) ).
tcf(c_14940,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_14935,c_13432]) ).
tcf(c_14978,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1155,c_3105]) ).
tcf(c_14979,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1120,c_3105]) ).
tcf(c_14999,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3105,c_646]) ).
tcf(c_15011,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3194,c_2915]) ).
tcf(c_15018,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3195,c_2914]) ).
tcf(c_15025,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3196,c_2919]) ).
tcf(c_15056,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3197,c_2899]) ).
tcf(c_15057,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3197,c_2897]) ).
tcf(c_15058,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_15057,c_12804]) ).
tcf(c_15061,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_15056,c_13432]) ).
tcf(c_15099,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1155,c_3199]) ).
tcf(c_15100,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1120,c_3199]) ).
tcf(c_15120,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3199,c_646]) ).
tcf(c_15147,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3247,c_2915]) ).
tcf(c_15161,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3248,c_2914]) ).
tcf(c_15183,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3249,c_2919]) ).
tcf(c_15206,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3250,c_2899]) ).
tcf(c_15207,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3250,c_2897]) ).
tcf(c_15208,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_15207,c_12804]) ).
tcf(c_15211,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_15206,c_13432]) ).
tcf(c_15249,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1155,c_3252]) ).
tcf(c_15250,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1120,c_3252]) ).
tcf(c_15270,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3252,c_646]) ).
tcf(c_15282,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3305,c_2915]) ).
tcf(c_15295,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3306,c_2914]) ).
tcf(c_15302,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3307,c_2919]) ).
tcf(c_15325,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3308,c_2899]) ).
tcf(c_15326,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3308,c_2897]) ).
tcf(c_15327,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_15326,c_12804]) ).
tcf(c_15330,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_15325,c_13432]) ).
tcf(c_15368,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1155,c_3310]) ).
tcf(c_15369,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1120,c_3310]) ).
tcf(c_15389,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3310,c_646]) ).
tcf(c_15401,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3394,c_2920]) ).
tcf(c_15408,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_3396]) ).
tcf(c_15426,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_3396,c_2901]) ).
tcf(c_15427,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_3396,c_2900]) ).
tcf(c_15428,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_3396,c_2898]) ).
tcf(c_15429,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_3396,c_2896]) ).
tcf(c_15432,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_15429,c_12244]) ).
tcf(c_15435,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_15428,c_12854]) ).
tcf(c_15438,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_15427,c_13499]) ).
tcf(c_15441,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_15426,c_14259]) ).
tcf(c_15449,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3505,c_2920]) ).
tcf(c_15455,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_3507]) ).
tcf(c_15474,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_3507,c_2901]) ).
tcf(c_15475,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_3507,c_2900]) ).
tcf(c_15476,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_3507,c_2898]) ).
tcf(c_15477,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_3507,c_2896]) ).
tcf(c_15480,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_15477,c_12244]) ).
tcf(c_15483,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_15476,c_12854]) ).
tcf(c_15486,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_15475,c_13499]) ).
tcf(c_15489,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_15474,c_14259]) ).
tcf(c_15505,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4223,c_2920]) ).
tcf(c_15527,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_4227]) ).
tcf(c_15551,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_4227,c_2901]) ).
tcf(c_15552,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_4227,c_2900]) ).
tcf(c_15553,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_4227,c_2898]) ).
tcf(c_15554,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_4227,c_2896]) ).
tcf(c_15557,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_15554,c_12244]) ).
tcf(c_15560,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_15553,c_12854]) ).
tcf(c_15563,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_15552,c_13499]) ).
tcf(c_15566,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_15551,c_14259]) ).
tcf(c_15574,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4320,c_2920]) ).
tcf(c_15588,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1713,c_4324]) ).
tcf(c_15589,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1581,c_4324]) ).
tcf(c_15599,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_4324,c_2901]) ).
tcf(c_15600,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_4324,c_2900]) ).
tcf(c_15601,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_4324,c_2898]) ).
tcf(c_15602,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_4324,c_2896]) ).
tcf(c_15607,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_15602,c_12244]) ).
tcf(c_15610,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_15601,c_12854]) ).
tcf(c_15613,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_15600,c_13499]) ).
tcf(c_15616,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_15599,c_14259]) ).
tcf(c_15664,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4473,c_2920]) ).
tcf(c_15670,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_4477]) ).
tcf(c_15695,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_4477,c_2901]) ).
tcf(c_15696,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_4477,c_2900]) ).
tcf(c_15697,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_4477,c_2898]) ).
tcf(c_15698,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_4477,c_2896]) ).
tcf(c_15701,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_15698,c_12244]) ).
tcf(c_15704,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_15697,c_12854]) ).
tcf(c_15707,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_15696,c_13499]) ).
tcf(c_15710,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_15695,c_14259]) ).
tcf(c_15718,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4567,c_2920]) ).
tcf(c_15732,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1713,c_4571]) ).
tcf(c_15733,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1581,c_4571]) ).
tcf(c_15743,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_4571,c_2901]) ).
tcf(c_15744,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_4571,c_2900]) ).
tcf(c_15745,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_4571,c_2898]) ).
tcf(c_15746,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_4571,c_2896]) ).
tcf(c_15751,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_15746,c_12244]) ).
tcf(c_15754,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_15745,c_12854]) ).
tcf(c_15757,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_15744,c_13499]) ).
tcf(c_15760,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_15743,c_14259]) ).
tcf(c_15789,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4844,c_2915]) ).
tcf(c_15802,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4845,c_2914]) ).
tcf(c_15809,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4846,c_2919]) ).
tcf(c_15832,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_4847,c_2899]) ).
tcf(c_15833,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_4847,c_2897]) ).
tcf(c_15834,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_15833,c_12804]) ).
tcf(c_15837,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_15832,c_13432]) ).
tcf(c_15870,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1644,c_4849]) ).
tcf(c_15896,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4849,c_646]) ).
tcf(c_15929,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4987,c_2920]) ).
tcf(c_15943,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1713,c_4990]) ).
tcf(c_15954,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_4990,c_2901]) ).
tcf(c_15955,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_4990,c_2900]) ).
tcf(c_15956,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_4990,c_2898]) ).
tcf(c_15957,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_4990,c_2896]) ).
tcf(c_15960,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_15957,c_12244]) ).
tcf(c_15963,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_15956,c_12854]) ).
tcf(c_15966,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_15955,c_13499]) ).
tcf(c_15969,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_15954,c_14259]) ).
tcf(c_15995,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_5158,c_2915]) ).
tcf(c_16000,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c9 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_2506,c_695,c_1322,c_1332,c_1376,c_1428,c_2506]) ).
tcf(c_16001,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_23 ) ),
inference(renaming,[status(thm)],[c_16000]) ).
tcf(c_16017,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_2507,c_695,c_1322,c_1332,c_1376,c_1428,c_2507]) ).
tcf(c_16018,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_16017]) ).
tcf(c_16034,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c8 = iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_2508,c_695,c_1322,c_1332,c_1376,c_1428,c_2508]) ).
tcf(c_16035,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_16034]) ).
tcf(c_16051,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c9 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_2509,c_695,c_1322,c_1332,c_1376,c_1428,c_2509]) ).
tcf(c_16052,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(renaming,[status(thm)],[c_16051]) ).
tcf(c_16068,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c8 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_2510,c_695,c_1322,c_1332,c_1376,c_1428,c_2510]) ).
tcf(c_16069,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c9 = iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_16068]) ).
tcf(c_16085,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_2557,c_695,c_1322,c_1332,c_1376,c_1428,c_2557]) ).
tcf(c_16086,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(renaming,[status(thm)],[c_16085]) ).
tcf(c_16107,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_5159,c_2914]) ).
tcf(c_16114,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_5160,c_2919]) ).
tcf(c_16137,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_5161,c_2899]) ).
tcf(c_16138,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_5161,c_2897]) ).
tcf(c_16139,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_16138,c_12804]) ).
tcf(c_16142,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_16137,c_13432]) ).
tcf(c_16201,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_5162,c_646]) ).
tcf(c_16226,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_5269,c_2920]) ).
tcf(c_16233,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11846,c_5273]) ).
tcf(c_16263,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_5273,c_2901]) ).
tcf(c_16264,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_5273,c_2900]) ).
tcf(c_16265,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_5273,c_2898]) ).
tcf(c_16266,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_5273,c_2896]) ).
tcf(c_16269,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_16266,c_12244]) ).
tcf(c_16272,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_16265,c_12854]) ).
tcf(c_16275,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_16264,c_13499]) ).
tcf(c_16278,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_16263,c_14259]) ).
tcf(c_16323,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_5372,c_2920]) ).
tcf(c_16333,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2234,c_5376]) ).
tcf(c_16334,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2229,c_5376]) ).
tcf(c_16335,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2072,c_5376]) ).
tcf(c_16336,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2067,c_5376]) ).
tcf(c_16348,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_5376,c_2901]) ).
tcf(c_16349,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_5376,c_2900]) ).
tcf(c_16350,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_5376,c_2898]) ).
tcf(c_16351,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_5376,c_2896]) ).
tcf(c_16356,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_16351,c_12244]) ).
tcf(c_16359,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_16350,c_12854]) ).
tcf(c_16362,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_16349,c_13499]) ).
tcf(c_16365,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_16348,c_14259]) ).
tcf(c_16380,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_2600,c_695,c_1322,c_1332,c_1376,c_1428,c_2600]) ).
tcf(c_16381,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 ) ),
inference(renaming,[status(thm)],[c_16380]) ).
tcf(c_16402,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_5587,c_2920]) ).
tcf(c_16412,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2234,c_5591]) ).
tcf(c_16414,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2072,c_5591]) ).
tcf(c_16427,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_5591,c_2901]) ).
tcf(c_16428,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_5591,c_2900]) ).
tcf(c_16429,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_5591,c_2898]) ).
tcf(c_16430,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_5591,c_2896]) ).
tcf(c_16435,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_16430,c_12244]) ).
tcf(c_16438,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_16429,c_12854]) ).
tcf(c_16441,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_16428,c_13499]) ).
tcf(c_16444,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_16427,c_14259]) ).
tcf(c_16466,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_5758,c_2920]) ).
tcf(c_16475,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14575,c_5762]) ).
tcf(c_16506,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_5762,c_2901]) ).
tcf(c_16507,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_5762,c_2900]) ).
tcf(c_16508,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_5762,c_2898]) ).
tcf(c_16509,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_5762,c_2896]) ).
tcf(c_16512,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_16509,c_12244]) ).
tcf(c_16515,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_16508,c_12854]) ).
tcf(c_16518,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_16507,c_13499]) ).
tcf(c_16521,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_16506,c_14259]) ).
tcf(c_16541,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_5886,c_2920]) ).
tcf(c_16551,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2234,c_5890]) ).
tcf(c_16552,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2229,c_5890]) ).
tcf(c_16553,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2072,c_5890]) ).
tcf(c_16554,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2067,c_5890]) ).
tcf(c_16566,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_5890,c_2901]) ).
tcf(c_16567,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_5890,c_2900]) ).
tcf(c_16568,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_5890,c_2898]) ).
tcf(c_16569,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_5890,c_2896]) ).
tcf(c_16574,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_16569,c_12244]) ).
tcf(c_16577,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_16568,c_12854]) ).
tcf(c_16580,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_16567,c_13499]) ).
tcf(c_16583,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_16566,c_14259]) ).
tcf(c_16597,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6109,c_2920]) ).
tcf(c_16607,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2234,c_6113]) ).
tcf(c_16609,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2072,c_6113]) ).
tcf(c_16622,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_6113,c_2901]) ).
tcf(c_16623,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_6113,c_2900]) ).
tcf(c_16624,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_6113,c_2898]) ).
tcf(c_16625,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_6113,c_2896]) ).
tcf(c_16630,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_16625,c_12244]) ).
tcf(c_16633,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_16624,c_12854]) ).
tcf(c_16636,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_16623,c_13499]) ).
tcf(c_16639,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_16622,c_14259]) ).
tcf(c_16658,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2903,c_103]) ).
tcf(c_16676,plain,
multiply(inverse(sk_c10),iPr_def_15) = sk_c11,
inference(superposition,[status(thm)],[c_627,c_16658]) ).
tcf(c_16677,plain,
multiply(inverse(sk_c3),iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_638,c_16658]) ).
tcf(c_16678,plain,
multiply(inverse(sk_c4),iPr_def_24) = sk_c10,
inference(superposition,[status(thm)],[c_636,c_16658]) ).
tcf(c_16679,plain,
multiply(inverse(sk_c5),iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_634,c_16658]) ).
tcf(c_16680,plain,
multiply(inverse(sk_c8),iPr_def_20) = sk_c10,
inference(superposition,[status(thm)],[c_632,c_16658]) ).
tcf(c_16681,plain,
multiply(inverse(sk_c7),iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_628,c_16658]) ).
tcf(c_16682,plain,
multiply(inverse(sk_c1),iPr_def_28) = sk_c10,
inference(superposition,[status(thm)],[c_640,c_16658]) ).
tcf(c_16683,plain,
multiply(inverse(sk_c2),iPr_def_27) = sk_c10,
inference(superposition,[status(thm)],[c_639,c_16658]) ).
tcf(c_16684,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_16658]) ).
tcf(c_16685,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_16658]) ).
tcf(c_16686,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_105,c_16658]) ).
tcf(c_16687,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4849,c_16658]) ).
tcf(c_16688,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1052,c_16658]) ).
tcf(c_16689,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6113,c_16658]) ).
tcf(c_16690,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_5890,c_16658]) ).
tcf(c_16691,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4571,c_16658]) ).
tcf(c_16692,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1053,c_16658]) ).
tcf(c_16693,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_5591,c_16658]) ).
tcf(c_16694,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_5376,c_16658]) ).
tcf(c_16695,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4324,c_16658]) ).
tcf(c_16696,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1054,c_16658]) ).
tcf(c_16697,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4990,c_16658]) ).
tcf(c_16698,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1073,c_16658]) ).
tcf(c_16699,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_5162,c_16658]) ).
tcf(c_16700,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1087,c_16658]) ).
tcf(c_16701,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3507,c_16658]) ).
tcf(c_16702,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3396,c_16658]) ).
tcf(c_16703,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1343,c_16658]) ).
tcf(c_16704,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1305,c_16658]) ).
tcf(c_16705,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1272,c_16658]) ).
tcf(c_16706,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1167,c_16658]) ).
tcf(c_16707,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1135,c_16658]) ).
tcf(c_16708,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1951,c_16658]) ).
tcf(c_16709,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1498,c_16658]) ).
tcf(c_16710,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1183,c_16658]) ).
tcf(c_16711,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1181,c_16658]) ).
tcf(c_16712,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1799,c_16658]) ).
tcf(c_16713,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1390,c_16658]) ).
tcf(c_16714,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1184,c_16658]) ).
tcf(c_16715,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1182,c_16658]) ).
tcf(c_16716,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1950,c_16658]) ).
tcf(c_16717,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1497,c_16658]) ).
tcf(c_16718,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1195,c_16658]) ).
tcf(c_16719,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1193,c_16658]) ).
tcf(c_16720,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1798,c_16658]) ).
tcf(c_16721,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1389,c_16658]) ).
tcf(c_16722,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1196,c_16658]) ).
tcf(c_16723,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1194,c_16658]) ).
tcf(c_16724,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_5161,c_16658]) ).
tcf(c_16725,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1197,c_16658]) ).
tcf(c_16726,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4847,c_16658]) ).
tcf(c_16727,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1198,c_16658]) ).
tcf(c_16728,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1949,c_16658]) ).
tcf(c_16729,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1496,c_16658]) ).
tcf(c_16730,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1213,c_16658]) ).
tcf(c_16731,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1211,c_16658]) ).
tcf(c_16732,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1797,c_16658]) ).
tcf(c_16733,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1388,c_16658]) ).
tcf(c_16734,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1214,c_16658]) ).
tcf(c_16735,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1212,c_16658]) ).
tcf(c_16736,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_5160,c_16658]) ).
tcf(c_16737,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1223,c_16658]) ).
tcf(c_16738,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4846,c_16658]) ).
tcf(c_16739,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1224,c_16658]) ).
tcf(c_16740,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3505,c_16658]) ).
tcf(c_16741,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3394,c_16658]) ).
tcf(c_16742,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1341,c_16658]) ).
tcf(c_16743,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1303,c_16658]) ).
tcf(c_16744,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1270,c_16658]) ).
tcf(c_16745,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1230,c_16658]) ).
tcf(c_16746,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1229,c_16658]) ).
tcf(c_16747,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4987,c_16658]) ).
tcf(c_16748,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1231,c_16658]) ).
tcf(c_16749,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6109,c_16658]) ).
tcf(c_16750,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_5886,c_16658]) ).
tcf(c_16751,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4567,c_16658]) ).
tcf(c_16752,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1232,c_16658]) ).
tcf(c_16753,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_5587,c_16658]) ).
tcf(c_16754,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_5372,c_16658]) ).
tcf(c_16755,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4320,c_16658]) ).
tcf(c_16756,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1233,c_16658]) ).
tcf(c_16757,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_5159,c_16658]) ).
tcf(c_16758,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1244,c_16658]) ).
tcf(c_16759,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4845,c_16658]) ).
tcf(c_16760,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1245,c_16658]) ).
tcf(c_16761,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_5158,c_16658]) ).
tcf(c_16762,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1250,c_16658]) ).
tcf(c_16763,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4844,c_16658]) ).
tcf(c_16764,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1251,c_16658]) ).
tcf(c_16765,plain,
multiply(inverse(iPr_def_25),identity) = sk_c3,
inference(superposition,[status(thm)],[c_1256,c_16658]) ).
tcf(c_16766,plain,
multiply(inverse(iPr_def_23),identity) = sk_c4,
inference(superposition,[status(thm)],[c_1257,c_16658]) ).
tcf(c_16767,plain,
multiply(inverse(iPr_def_21),identity) = sk_c5,
inference(superposition,[status(thm)],[c_1258,c_16658]) ).
tcf(c_16768,plain,
multiply(inverse(iPr_def_19),identity) = sk_c7,
inference(superposition,[status(thm)],[c_1259,c_16658]) ).
tcf(c_16769,plain,
multiply(inverse(iPr_def_18),identity) = sk_c6,
inference(superposition,[status(thm)],[c_1260,c_16658]) ).
tcf(c_16770,plain,
multiply(inverse(iPr_def_29),identity) = sk_c1,
inference(superposition,[status(thm)],[c_1261,c_16658]) ).
tcf(c_16771,plain,
multiply(inverse(iPr_def_17),identity) = sk_c2,
inference(superposition,[status(thm)],[c_1262,c_16658]) ).
tcf(c_16772,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4473,c_16658]) ).
tcf(c_16773,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4223,c_16658]) ).
tcf(c_16774,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1716,c_16658]) ).
tcf(c_16775,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1646,c_16658]) ).
tcf(c_16776,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1582,c_16658]) ).
tcf(c_16777,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1537,c_16658]) ).
tcf(c_16778,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1444,c_16658]) ).
tcf(c_16779,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4477,c_16658]) ).
tcf(c_16780,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4227,c_16658]) ).
tcf(c_16781,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1720,c_16658]) ).
tcf(c_16782,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1650,c_16658]) ).
tcf(c_16783,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1586,c_16658]) ).
tcf(c_16784,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1541,c_16658]) ).
tcf(c_16785,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1448,c_16658]) ).
tcf(c_16786,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2361,c_16658]) ).
tcf(c_16787,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1845,c_16658]) ).
tcf(c_16788,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1687,c_16658]) ).
tcf(c_16789,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1685,c_16658]) ).
tcf(c_16790,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1683,c_16658]) ).
tcf(c_16791,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2283,c_16658]) ).
tcf(c_16792,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1757,c_16658]) ).
tcf(c_16793,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1688,c_16658]) ).
tcf(c_16794,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1686,c_16658]) ).
tcf(c_16795,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1684,c_16658]) ).
tcf(c_16796,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_5758,c_16658]) ).
tcf(c_16797,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_5269,c_16658]) ).
tcf(c_16798,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2237,c_16658]) ).
tcf(c_16799,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2169,c_16658]) ).
tcf(c_16800,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2073,c_16658]) ).
tcf(c_16801,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1992,c_16658]) ).
tcf(c_16802,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1881,c_16658]) ).
tcf(c_16803,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_5762,c_16658]) ).
tcf(c_16804,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_5273,c_16658]) ).
tcf(c_16805,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2241,c_16658]) ).
tcf(c_16806,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2173,c_16658]) ).
tcf(c_16807,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2077,c_16658]) ).
tcf(c_16808,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1996,c_16658]) ).
tcf(c_16809,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1885,c_16658]) ).
tcf(c_16810,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3305,c_16658]) ).
tcf(c_16811,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3247,c_16658]) ).
tcf(c_16812,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3194,c_16658]) ).
tcf(c_16813,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3100,c_16658]) ).
tcf(c_16814,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3023,c_16658]) ).
tcf(c_16815,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2857,c_16658]) ).
tcf(c_16816,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3306,c_16658]) ).
tcf(c_16817,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3248,c_16658]) ).
tcf(c_16818,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3195,c_16658]) ).
tcf(c_16819,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3101,c_16658]) ).
tcf(c_16820,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3024,c_16658]) ).
tcf(c_16821,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2858,c_16658]) ).
tcf(c_16822,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3307,c_16658]) ).
tcf(c_16823,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3249,c_16658]) ).
tcf(c_16824,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3196,c_16658]) ).
tcf(c_16825,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3102,c_16658]) ).
tcf(c_16826,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3025,c_16658]) ).
tcf(c_16827,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2859,c_16658]) ).
tcf(c_16828,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3308,c_16658]) ).
tcf(c_16829,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3250,c_16658]) ).
tcf(c_16830,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3197,c_16658]) ).
tcf(c_16831,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3103,c_16658]) ).
tcf(c_16832,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3026,c_16658]) ).
tcf(c_16833,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2860,c_16658]) ).
tcf(c_16834,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3310,c_16658]) ).
tcf(c_16835,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3252,c_16658]) ).
tcf(c_16836,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3199,c_16658]) ).
tcf(c_16837,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3105,c_16658]) ).
tcf(c_16838,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3028,c_16658]) ).
tcf(c_16839,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2862,c_16658]) ).
tcf(c_16840,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(iPr_def_15,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_2894,c_16658]) ).
tcf(c_16841,plain,
! [X0: $i] : multiply(inverse(sk_c3),multiply(iPr_def_26,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_2895,c_16658]) ).
tcf(c_16842,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(iPr_def_24,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2896,c_16658]) ).
tcf(c_16843,plain,
! [X0: $i] : multiply(inverse(sk_c5),multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2897,c_16658]) ).
tcf(c_16844,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_20,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2898,c_16658]) ).
tcf(c_16845,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2899,c_16658]) ).
tcf(c_16846,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_28,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2900,c_16658]) ).
tcf(c_16847,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_27,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2901,c_16658]) ).
tcf(c_16849,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2920,c_16658]) ).
tcf(c_16850,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2919,c_16658]) ).
tcf(c_16851,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2918,c_16658]) ).
tcf(c_16852,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2917,c_16658]) ).
tcf(c_16853,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2916,c_16658]) ).
tcf(c_16854,plain,
! [X0: $i] : multiply(inverse(iPr_def_29),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2915,c_16658]) ).
tcf(c_16855,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2914,c_16658]) ).
tcf(c_16856,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4719,c_16658]) ).
tcf(c_16857,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4720,c_16658]) ).
tcf(c_16858,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4718,c_16658]) ).
tcf(c_16859,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_7265,c_16658]) ).
tcf(c_16860,plain,
multiply(inverse(iPr_def_17),sk_c10) = iPr_def_27,
inference(superposition,[status(thm)],[c_7301,c_16658]) ).
tcf(c_16861,plain,
multiply(inverse(iPr_def_29),sk_c10) = iPr_def_28,
inference(superposition,[status(thm)],[c_7320,c_16658]) ).
tcf(c_16862,plain,
multiply(inverse(iPr_def_19),sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_7385,c_16658]) ).
tcf(c_16863,plain,
multiply(inverse(iPr_def_21),sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_7390,c_16658]) ).
tcf(c_16864,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7546,c_16658]) ).
tcf(c_16865,plain,
multiply(inverse(iPr_def_23),sk_c10) = iPr_def_24,
inference(superposition,[status(thm)],[c_7556,c_16658]) ).
tcf(c_16866,plain,
multiply(inverse(iPr_def_25),sk_c11) = iPr_def_26,
inference(superposition,[status(thm)],[c_7630,c_16658]) ).
tcf(c_16867,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_7794,c_16658]) ).
tcf(c_16868,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8459,c_16658]) ).
tcf(c_16869,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8460,c_16658]) ).
tcf(c_16870,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8515,c_16658]) ).
tcf(c_16871,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8516,c_16658]) ).
tcf(c_16872,plain,
multiply(inverse(sk_c4),multiply(iPr_def_24,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_12244,c_16658]) ).
tcf(c_16873,plain,
multiply(inverse(sk_c5),multiply(iPr_def_22,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_12804,c_16658]) ).
tcf(c_16874,plain,
multiply(inverse(sk_c8),multiply(iPr_def_20,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_12854,c_16658]) ).
tcf(c_16875,plain,
multiply(inverse(sk_c7),multiply(iPr_def_16,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_13432,c_16658]) ).
tcf(c_16876,plain,
multiply(inverse(sk_c1),multiply(iPr_def_28,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_13499,c_16658]) ).
tcf(c_16877,plain,
multiply(inverse(sk_c2),multiply(iPr_def_27,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_14259,c_16658]) ).
tcf(c_16878,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_16658,c_16658]) ).
tcf(c_16879,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_16658,c_105]) ).
tcf(c_17438,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_14575,c_16676]) ).
tcf(c_17439,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_11846,c_16676]) ).
tcf(c_17442,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2234,c_16676]) ).
tcf(c_17443,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2229,c_16676]) ).
tcf(c_17444,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2072,c_16676]) ).
tcf(c_17445,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2067,c_16676]) ).
tcf(c_17456,plain,
multiply(inverse(inverse(sk_c10)),sk_c11) = iPr_def_15,
inference(superposition,[status(thm)],[c_16676,c_16658]) ).
tcf(c_17486,plain,
multiply(inverse(inverse(sk_c8)),sk_c10) = iPr_def_20,
inference(superposition,[status(thm)],[c_16680,c_16658]) ).
tcf(c_17489,plain,
( ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(inverse(identity)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_16684,c_647]) ).
tcf(c_17490,plain,
( ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(inverse(identity)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_16684,c_645]) ).
tcf(c_17491,plain,
( ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(inverse(identity)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16684,c_644]) ).
tcf(c_17492,plain,
! [X0: $i] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[status(thm)],[c_16684,c_16658]) ).
tcf(c_17494,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(identity)) != inverse(X0) )
| ( inverse(inverse(inverse(identity))) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16684,c_643]) ).
tcf(c_17495,plain,
( ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(inverse(identity)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16684,c_646]) ).
tcf(c_17582,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_16685,c_16878]) ).
tcf(c_17587,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_17582,c_105]) ).
tcf(c_17589,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_17582,c_105]) ).
tcf(c_17590,plain,
multiply(sk_c3,sk_c11) = multiply(iPr_def_26,identity),
inference(superposition,[status(thm)],[c_17582,c_2895]) ).
tcf(c_17591,plain,
multiply(sk_c10,sk_c11) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_17582,c_2894]) ).
tcf(c_17592,plain,
multiply(sk_c2,sk_c10) = multiply(iPr_def_27,identity),
inference(superposition,[status(thm)],[c_17582,c_2901]) ).
tcf(c_17593,plain,
multiply(sk_c1,sk_c10) = multiply(iPr_def_28,identity),
inference(superposition,[status(thm)],[c_17582,c_2900]) ).
tcf(c_17594,plain,
multiply(sk_c8,sk_c10) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_17582,c_2898]) ).
tcf(c_17595,plain,
multiply(sk_c4,sk_c10) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_17582,c_2896]) ).
tcf(c_17596,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_16,identity),
inference(superposition,[status(thm)],[c_17582,c_2899]) ).
tcf(c_17597,plain,
multiply(sk_c5,sk_c8) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_17582,c_2897]) ).
tcf(c_17605,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_17582,c_16684]) ).
tcf(c_17606,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_17597,c_634]) ).
tcf(c_17607,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_17596,c_628]) ).
tcf(c_17608,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_17595,c_636]) ).
tcf(c_17609,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_17594,c_632]) ).
tcf(c_17610,plain,
multiply(iPr_def_28,identity) = iPr_def_28,
inference(light_normalisation,[status(thm)],[c_17593,c_640]) ).
tcf(c_17611,plain,
multiply(iPr_def_27,identity) = iPr_def_27,
inference(light_normalisation,[status(thm)],[c_17592,c_639]) ).
tcf(c_17612,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_17591,c_627]) ).
tcf(c_17613,plain,
multiply(iPr_def_26,identity) = iPr_def_26,
inference(light_normalisation,[status(thm)],[c_17590,c_638]) ).
tcf(c_17617,plain,
! [X0: $i] : multiply(identity,multiply(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_17605,c_16658]) ).
tcf(c_17618,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_17605,c_104]) ).
tcf(c_17619,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(identity) )
| ( multiply(X0,identity) != inverse(X0) )
| ( multiply(identity,inverse(identity)) != sk_c11 )
| ( multiply(inverse(identity),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_17605,c_643]) ).
tcf(c_17621,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(X0) != X0 )
| ( multiply(identity,identity) != sk_c11 )
| ( multiply(identity,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != identity ) ),
inference(light_normalisation,[status(thm)],[c_17619,c_17582,c_17605]) ).
tcf(c_17648,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6311,c_16658]) ).
tcf(c_17650,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6311,c_2915]) ).
tcf(c_17657,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6312,c_16658]) ).
tcf(c_17659,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6312,c_2914]) ).
tcf(c_17666,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6313,c_16658]) ).
tcf(c_17668,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6313,c_2919]) ).
tcf(c_17691,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6314,c_16658]) ).
tcf(c_17693,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_6314,c_2899]) ).
tcf(c_17694,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_6314,c_2897]) ).
tcf(c_17696,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_17694,c_12804]) ).
tcf(c_17699,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_17693,c_13432]) ).
tcf(c_17742,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2167,c_6316]) ).
tcf(c_17743,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2162,c_6316]) ).
tcf(c_17777,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_6316,c_646]) ).
tcf(c_17791,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6455,c_16658]) ).
tcf(c_17793,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6455,c_2915]) ).
tcf(c_17800,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6456,c_16658]) ).
tcf(c_17802,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6456,c_2914]) ).
tcf(c_17809,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6457,c_16658]) ).
tcf(c_17811,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6457,c_2919]) ).
tcf(c_17852,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6458,c_16658]) ).
tcf(c_17854,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_6458,c_2899]) ).
tcf(c_17855,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_6458,c_2897]) ).
tcf(c_17857,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_17855,c_12804]) ).
tcf(c_17860,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_17854,c_13432]) ).
tcf(c_17885,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2167,c_6460]) ).
tcf(c_17920,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_6460,c_646]) ).
tcf(c_17931,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6603,c_16658]) ).
tcf(c_17933,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6603,c_2920]) ).
tcf(c_17944,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2234,c_6606]) ).
tcf(c_17945,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2229,c_6606]) ).
tcf(c_17958,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6606,c_16658]) ).
tcf(c_17960,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_6606,c_2901]) ).
tcf(c_17961,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_6606,c_2900]) ).
tcf(c_17962,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_6606,c_2898]) ).
tcf(c_17963,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_6606,c_2896]) ).
tcf(c_17967,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_17963,c_12244]) ).
tcf(c_17970,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_17962,c_12854]) ).
tcf(c_17973,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_17961,c_13499]) ).
tcf(c_17976,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_17960,c_14259]) ).
tcf(c_18004,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6814,c_16658]) ).
tcf(c_18006,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6814,c_2920]) ).
tcf(c_18017,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2234,c_6817]) ).
tcf(c_18031,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6817,c_16658]) ).
tcf(c_18033,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_6817,c_2901]) ).
tcf(c_18034,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_6817,c_2900]) ).
tcf(c_18035,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_6817,c_2898]) ).
tcf(c_18036,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_6817,c_2896]) ).
tcf(c_18040,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_18036,c_12244]) ).
tcf(c_18043,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_18035,c_12854]) ).
tcf(c_18046,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_18034,c_13499]) ).
tcf(c_18049,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_18033,c_14259]) ).
tcf(c_18056,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7012,c_16658]) ).
tcf(c_18058,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7012,c_2915]) ).
tcf(c_18065,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7013,c_16658]) ).
tcf(c_18067,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7013,c_2914]) ).
tcf(c_18074,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_25)) != sk_c10 )
| ( multiply(sk_c3,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_16849,c_647]) ).
tcf(c_18075,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_25)) != sk_c10 )
| ( multiply(sk_c3,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16849,c_645]) ).
tcf(c_18076,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_25)) != sk_c11 )
| ( multiply(sk_c3,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16849,c_644]) ).
tcf(c_18077,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_25)),multiply(sk_c3,X0)) = X0,
inference(superposition,[status(thm)],[c_16849,c_16658]) ).
tcf(c_18078,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_25),multiply(X0,X1)) = multiply(multiply(sk_c3,X0),X1),
inference(superposition,[status(thm)],[c_16849,c_105]) ).
tcf(c_18079,plain,
multiply(sk_c3,iPr_def_25) = identity,
inference(superposition,[status(thm)],[c_16849,c_104]) ).
tcf(c_18080,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_25))) != inverse(X0) )
| ( multiply(sk_c3,inverse(X0)) != inverse(inverse(iPr_def_25)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16849,c_643]) ).
tcf(c_18081,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_25)) != sk_c11 )
| ( multiply(sk_c3,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_16849,c_646]) ).
tcf(c_18082,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_25,X0)) = X0,
inference(superposition,[status(thm)],[c_16849,c_16658]) ).
tcf(c_18083,plain,
multiply(sk_c3,identity) = inverse(iPr_def_25),
inference(superposition,[status(thm)],[c_16849,c_17582]) ).
tcf(c_18084,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_26 )
| ( inverse(inverse(iPr_def_25)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_18081,c_638]) ).
tcf(c_18102,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_6814,c_18079]) ).
tcf(c_18103,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_6603,c_18079]) ).
tcf(c_18104,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_4987,c_18079]) ).
tcf(c_18105,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1231,c_18079]) ).
tcf(c_18118,plain,
multiply(inverse(sk_c3),identity) = iPr_def_25,
inference(superposition,[status(thm)],[c_18079,c_16658]) ).
tcf(c_18119,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_18079,c_105]) ).
tcf(c_18120,plain,
multiply(iPr_def_25,identity) = iPr_def_25,
inference(superposition,[status(thm)],[c_18079,c_2920]) ).
tcf(c_18150,plain,
inverse(iPr_def_25) = sk_c3,
inference(demodulation,[status(thm)],[c_18083,c_17582]) ).
tcf(c_18154,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c11 )
| ( multiply(inverse(iPr_def_25),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18150,c_643]) ).
tcf(c_18155,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(sk_c3,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c3 )
| ( multiply(X0,sk_c3) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_18154,c_1256,c_18150]) ).
tcf(c_18184,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18102,c_17605]) ).
tcf(c_18185,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_18102,c_17582]) ).
tcf(c_18186,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18102,c_103]) ).
tcf(c_18199,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18103,c_17605]) ).
tcf(c_18200,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_17582]) ).
tcf(c_18201,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_103]) ).
tcf(c_18214,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18104,c_17605]) ).
tcf(c_18215,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_18104,c_17582]) ).
tcf(c_18216,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18104,c_103]) ).
tcf(c_18243,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18105,c_16676]) ).
tcf(c_18246,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_5762]) ).
tcf(c_18249,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_5273]) ).
tcf(c_18252,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_4477]) ).
tcf(c_18254,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_4227]) ).
tcf(c_18255,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_3507]) ).
tcf(c_18256,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_3396]) ).
tcf(c_18258,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_18105,c_2901]) ).
tcf(c_18260,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_18105,c_2900]) ).
tcf(c_18261,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18105,c_2898]) ).
tcf(c_18262,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_18105,c_2896]) ).
tcf(c_18263,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_18105,c_2894]) ).
tcf(c_18264,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_2241]) ).
tcf(c_18265,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_2173]) ).
tcf(c_18266,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_2077]) ).
tcf(c_18267,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1996]) ).
tcf(c_18268,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18105,c_1950]) ).
tcf(c_18269,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1885]) ).
tcf(c_18271,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18105,c_1798]) ).
tcf(c_18272,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1720]) ).
tcf(c_18274,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1650]) ).
tcf(c_18275,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1586]) ).
tcf(c_18276,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1541]) ).
tcf(c_18277,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18105,c_1497]) ).
tcf(c_18278,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1448]) ).
tcf(c_18279,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18105,c_1389]) ).
tcf(c_18280,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1343]) ).
tcf(c_18281,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1305]) ).
tcf(c_18282,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1272]) ).
tcf(c_18285,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18105,c_1194]) ).
tcf(c_18286,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18105,c_1193]) ).
tcf(c_18287,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1167]) ).
tcf(c_18288,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_1135]) ).
tcf(c_18292,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18105,c_2234]) ).
tcf(c_18293,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18105,c_2229]) ).
tcf(c_18294,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18105,c_2072]) ).
tcf(c_18295,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18105,c_2067]) ).
tcf(c_18296,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18105,c_1713]) ).
tcf(c_18297,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18105,c_1581]) ).
tcf(c_18298,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_18105,c_647]) ).
tcf(c_18299,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18105,c_645]) ).
tcf(c_18300,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18105,c_644]) ).
tcf(c_18301,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18105,c_640]) ).
tcf(c_18302,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_639]) ).
tcf(c_18303,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18105,c_636]) ).
tcf(c_18304,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18105,c_632]) ).
tcf(c_18306,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18105,c_627]) ).
tcf(c_18338,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18288,c_7301]) ).
tcf(c_18342,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18287,c_7301]) ).
tcf(c_18352,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18282,c_7301]) ).
tcf(c_18356,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18281,c_7301]) ).
tcf(c_18360,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18280,c_7301]) ).
tcf(c_18416,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18256,c_7301]) ).
tcf(c_18420,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18255,c_7301]) ).
tcf(c_18593,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm)],[c_1256,c_18082]) ).
tcf(c_18594,plain,
multiply(sk_c3,sk_c11) = iPr_def_26,
inference(superposition,[status(thm)],[c_7630,c_18082]) ).
tcf(c_18596,plain,
! [X0: $i] : multiply(inverse(sk_c3),X0) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_18082,c_16658]) ).
tcf(c_18597,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_18082,c_105]) ).
tcf(c_18658,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_23)) != sk_c10 )
| ( multiply(sk_c4,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_16850,c_647]) ).
tcf(c_18659,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_23)) != sk_c10 )
| ( multiply(sk_c4,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16850,c_645]) ).
tcf(c_18660,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_23)) != sk_c11 )
| ( multiply(sk_c4,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16850,c_644]) ).
tcf(c_18661,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_23)),multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_16850,c_16658]) ).
tcf(c_18662,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_23),multiply(X0,X1)) = multiply(multiply(sk_c4,X0),X1),
inference(superposition,[status(thm)],[c_16850,c_105]) ).
tcf(c_18663,plain,
multiply(sk_c4,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_16850,c_104]) ).
tcf(c_18664,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_23))) != inverse(X0) )
| ( multiply(sk_c4,inverse(X0)) != inverse(inverse(iPr_def_23)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16850,c_643]) ).
tcf(c_18665,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_23)) != sk_c11 )
| ( multiply(sk_c4,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_16850,c_646]) ).
tcf(c_18666,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_16850,c_16658]) ).
tcf(c_18667,plain,
multiply(sk_c4,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_16850,c_17582]) ).
tcf(c_18671,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_18660,c_636]) ).
tcf(c_18675,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_18659,c_636]) ).
tcf(c_18679,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_18658,c_636]) ).
tcf(c_18688,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_6457,c_18663]) ).
tcf(c_18689,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_6313,c_18663]) ).
tcf(c_18690,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_4846,c_18663]) ).
tcf(c_18691,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1224,c_18663]) ).
tcf(c_18715,plain,
multiply(inverse(sk_c4),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_18663,c_16658]) ).
tcf(c_18716,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_18663,c_105]) ).
tcf(c_18717,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_18663,c_2919]) ).
tcf(c_18745,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18688,c_18104]) ).
tcf(c_18747,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18688,c_18102]) ).
tcf(c_18748,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18688,c_17605]) ).
tcf(c_18749,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_18688,c_17582]) ).
tcf(c_18750,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18688,c_103]) ).
tcf(c_18771,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18689,c_18104]) ).
tcf(c_18772,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18689,c_18103]) ).
tcf(c_18774,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18689,c_17605]) ).
tcf(c_18775,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_18689,c_17582]) ).
tcf(c_18776,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18689,c_103]) ).
tcf(c_18808,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18690,c_18104]) ).
tcf(c_18811,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18690,c_17605]) ).
tcf(c_18812,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_18690,c_17582]) ).
tcf(c_18813,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18690,c_103]) ).
tcf(c_18842,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18691,c_16676]) ).
tcf(c_18845,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_5762]) ).
tcf(c_18848,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_5273]) ).
tcf(c_18851,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_4477]) ).
tcf(c_18853,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_4227]) ).
tcf(c_18854,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_3507]) ).
tcf(c_18855,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_3396]) ).
tcf(c_18857,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_18691,c_2901]) ).
tcf(c_18859,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_18691,c_2900]) ).
tcf(c_18860,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18691,c_2898]) ).
tcf(c_18861,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_18691,c_2896]) ).
tcf(c_18862,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_18691,c_2894]) ).
tcf(c_18863,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_2241]) ).
tcf(c_18864,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_2173]) ).
tcf(c_18865,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_2077]) ).
tcf(c_18866,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1996]) ).
tcf(c_18867,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18691,c_1950]) ).
tcf(c_18868,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1885]) ).
tcf(c_18870,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18691,c_1798]) ).
tcf(c_18871,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1720]) ).
tcf(c_18873,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1650]) ).
tcf(c_18874,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1586]) ).
tcf(c_18875,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1541]) ).
tcf(c_18876,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18691,c_1497]) ).
tcf(c_18877,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1448]) ).
tcf(c_18878,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18691,c_1389]) ).
tcf(c_18879,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1343]) ).
tcf(c_18880,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1305]) ).
tcf(c_18881,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1272]) ).
tcf(c_18884,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18691,c_1194]) ).
tcf(c_18885,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18691,c_1193]) ).
tcf(c_18886,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1167]) ).
tcf(c_18887,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_1135]) ).
tcf(c_18891,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18691,c_2234]) ).
tcf(c_18892,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18691,c_2229]) ).
tcf(c_18893,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18691,c_2072]) ).
tcf(c_18894,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18691,c_2067]) ).
tcf(c_18895,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18691,c_1713]) ).
tcf(c_18896,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18691,c_1581]) ).
tcf(c_18897,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_18691,c_647]) ).
tcf(c_18898,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18691,c_645]) ).
tcf(c_18899,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18691,c_644]) ).
tcf(c_18900,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18691,c_640]) ).
tcf(c_18901,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_639]) ).
tcf(c_18902,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18691,c_636]) ).
tcf(c_18903,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18691,c_632]) ).
tcf(c_18905,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18691,c_627]) ).
tcf(c_18937,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18887,c_7301]) ).
tcf(c_18941,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18886,c_7301]) ).
tcf(c_18951,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18881,c_7301]) ).
tcf(c_18955,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18880,c_7301]) ).
tcf(c_18959,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18879,c_7301]) ).
tcf(c_19015,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18855,c_7301]) ).
tcf(c_19019,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18854,c_7301]) ).
tcf(c_19079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = multiply(sk_c10,sk_c11) )
| ( X2 != multiply(X0,X1) )
| ( multiply(sk_c10,sk_c11) != multiply(X0,X1) ) ),
inference(instantiation,[status(thm)],[c_5198]) ).
tcf(c_19080,plain,
! [X0: $i,X1: $i] :
( ( multiply(sk_c10,sk_c11) = multiply(X0,X1) )
| ( sk_c11 != X1 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_19081,plain,
( ( sk_c10 = multiply(sk_c10,sk_c11) )
| ( sk_c10 != multiply(sk_c10,sk_c10) )
| ( multiply(sk_c10,sk_c11) != multiply(sk_c10,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_19079]) ).
tcf(c_19082,plain,
( ( multiply(sk_c10,sk_c11) = multiply(sk_c10,sk_c10) )
| ( sk_c11 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_19080]) ).
tcf(c_19220,plain,
multiply(identity,sk_c11) = sk_c11,
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_19223,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_19276,plain,
inverse(iPr_def_23) = sk_c4,
inference(demodulation,[status(thm)],[c_18667,c_17582]) ).
tcf(c_19280,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c11 )
| ( multiply(inverse(iPr_def_23),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_19276,c_643]) ).
tcf(c_19281,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != iPr_def_24 )
| ( sk_c11 != identity )
| ( inverse(inverse(X0)) != sk_c4 )
| ( multiply(X0,sk_c4) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_19280,c_636,c_1257,c_19276]) ).
tcf(c_19288,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_6460,c_18666]) ).
tcf(c_19289,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_6316,c_18666]) ).
tcf(c_19290,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4849,c_18666]) ).
tcf(c_19291,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1052,c_18666]) ).
tcf(c_19292,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_1257,c_18666]) ).
tcf(c_19293,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4719,c_18666]) ).
tcf(c_19294,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4720,c_18666]) ).
tcf(c_19295,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4718,c_18666]) ).
tcf(c_19296,plain,
multiply(sk_c4,sk_c10) = iPr_def_24,
inference(superposition,[status(thm)],[c_7556,c_18666]) ).
tcf(c_19298,plain,
! [X0: $i] : multiply(inverse(sk_c4),X0) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_18666,c_16658]) ).
tcf(c_19299,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(iPr_def_23,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_18666,c_105]) ).
tcf(c_19301,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_19295,c_12244]) ).
tcf(c_19304,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_19294,c_12244]) ).
tcf(c_19307,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_19293,c_12244]) ).
tcf(c_19310,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_19291,c_12244]) ).
tcf(c_19313,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_19290,c_12244]) ).
tcf(c_19316,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_19289,c_12244]) ).
tcf(c_19319,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_19288,c_12244]) ).
tcf(c_19379,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_18747,c_7320]) ).
tcf(c_19380,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18747,c_2915]) ).
tcf(c_19381,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_18747,c_1261]) ).
tcf(c_19411,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7014,c_16658]) ).
tcf(c_19413,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7014,c_2919]) ).
tcf(c_19436,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7015,c_16658]) ).
tcf(c_19438,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_7015,c_2899]) ).
tcf(c_19439,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_7015,c_2897]) ).
tcf(c_19441,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_19439,c_12804]) ).
tcf(c_19444,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_19438,c_13432]) ).
tcf(c_19529,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_7016,c_646]) ).
tcf(c_19538,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7144,c_16658]) ).
tcf(c_19540,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7144,c_2915]) ).
tcf(c_19575,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_18772,c_7320]) ).
tcf(c_19576,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18772,c_2915]) ).
tcf(c_19577,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_18772,c_1261]) ).
tcf(c_19603,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_18808,c_7320]) ).
tcf(c_19609,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_14668,c_16851]) ).
tcf(c_19610,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_21)) != sk_c10 )
| ( multiply(sk_c5,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_16851,c_647]) ).
tcf(c_19611,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_21)) != sk_c10 )
| ( multiply(sk_c5,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16851,c_645]) ).
tcf(c_19612,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_21)) != sk_c11 )
| ( multiply(sk_c5,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16851,c_644]) ).
tcf(c_19613,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_21)),multiply(sk_c5,X0)) = X0,
inference(superposition,[status(thm)],[c_16851,c_16658]) ).
tcf(c_19614,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_21),multiply(X0,X1)) = multiply(multiply(sk_c5,X0),X1),
inference(superposition,[status(thm)],[c_16851,c_105]) ).
tcf(c_19615,plain,
multiply(sk_c5,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_16851,c_104]) ).
tcf(c_19616,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_21))) != inverse(X0) )
| ( multiply(sk_c5,inverse(X0)) != inverse(inverse(iPr_def_21)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16851,c_643]) ).
tcf(c_19617,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_21)) != sk_c11 )
| ( multiply(sk_c5,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_16851,c_646]) ).
tcf(c_19618,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_16851,c_16658]) ).
tcf(c_19619,plain,
multiply(sk_c5,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_16851,c_17582]) ).
tcf(c_19620,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c5,X0) = multiply(sk_c6,X0) ) ),
inference(light_normalisation,[status(thm)],[c_19609,c_16853]) ).
tcf(c_19640,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_1949,c_19615]) ).
tcf(c_19641,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_1496,c_19615]) ).
tcf(c_19642,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1213,c_19615]) ).
tcf(c_19643,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1211,c_19615]) ).
tcf(c_19657,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_14668,c_19615]) ).
tcf(c_19658,plain,
multiply(inverse(sk_c5),identity) = iPr_def_21,
inference(superposition,[status(thm)],[c_19615,c_16658]) ).
tcf(c_19659,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_19615,c_105]) ).
tcf(c_19660,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(superposition,[status(thm)],[c_19615,c_2918]) ).
tcf(c_19733,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_7016]) ).
tcf(c_19735,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_6460]) ).
tcf(c_19736,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_6316]) ).
tcf(c_19737,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_5162]) ).
tcf(c_19738,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_4849]) ).
tcf(c_19739,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_3310]) ).
tcf(c_19740,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_3252]) ).
tcf(c_19741,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_3199]) ).
tcf(c_19742,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_3105]) ).
tcf(c_19743,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_3028]) ).
tcf(c_19748,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_19640,c_2895]) ).
tcf(c_19749,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19640,c_2894]) ).
tcf(c_19750,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_2862]) ).
tcf(c_19761,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_2167]) ).
tcf(c_19762,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_2162]) ).
tcf(c_19763,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_1993]) ).
tcf(c_19764,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_1987]) ).
tcf(c_19765,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_1883]) ).
tcf(c_19766,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_1877]) ).
tcf(c_19767,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_1644]) ).
tcf(c_19769,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_1538]) ).
tcf(c_19771,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_1446]) ).
tcf(c_19773,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_19640,c_646]) ).
tcf(c_19776,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_19640,c_677]) ).
tcf(c_19777,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_19640,c_676]) ).
tcf(c_19778,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19640,c_674]) ).
tcf(c_19779,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_673]) ).
tcf(c_19780,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19640,c_671]) ).
tcf(c_19781,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_19640,c_667]) ).
tcf(c_19782,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_19640,c_666]) ).
tcf(c_19783,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19640,c_664]) ).
tcf(c_19784,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_19640,c_638]) ).
tcf(c_19785,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19640,c_663]) ).
tcf(c_19786,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19640,c_661]) ).
tcf(c_19788,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_627]) ).
tcf(c_20073,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_19640]) ).
tcf(c_20076,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_6460]) ).
tcf(c_20078,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_5162]) ).
tcf(c_20079,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_4849]) ).
tcf(c_20080,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_3310]) ).
tcf(c_20081,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_3252]) ).
tcf(c_20082,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_3199]) ).
tcf(c_20083,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_3105]) ).
tcf(c_20084,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_3028]) ).
tcf(c_20090,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_19641,c_2895]) ).
tcf(c_20091,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19641,c_2894]) ).
tcf(c_20092,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_2862]) ).
tcf(c_20102,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_2167]) ).
tcf(c_20103,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_2162]) ).
tcf(c_20104,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_1993]) ).
tcf(c_20105,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_1987]) ).
tcf(c_20107,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_1883]) ).
tcf(c_20108,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_1877]) ).
tcf(c_20110,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_1644]) ).
tcf(c_20112,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_1538]) ).
tcf(c_20113,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_1446]) ).
tcf(c_20114,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_19641,c_646]) ).
tcf(c_20122,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_19641,c_667]) ).
tcf(c_20123,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_19641,c_666]) ).
tcf(c_20124,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19641,c_664]) ).
tcf(c_20125,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_19641,c_638]) ).
tcf(c_20126,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19641,c_663]) ).
tcf(c_20127,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19641,c_661]) ).
tcf(c_20129,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_627]) ).
tcf(c_20295,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_6817]) ).
tcf(c_20297,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_19642,c_16676]) ).
tcf(c_20298,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_6113]) ).
tcf(c_20301,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_5591]) ).
tcf(c_20304,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_4990]) ).
tcf(c_20305,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_4571]) ).
tcf(c_20307,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_4324]) ).
tcf(c_20309,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_3507]) ).
tcf(c_20310,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_3396]) ).
tcf(c_20312,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_19642,c_2901]) ).
tcf(c_20314,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_19642,c_2900]) ).
tcf(c_20315,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_19642,c_2898]) ).
tcf(c_20316,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_19642,c_2896]) ).
tcf(c_20317,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19642,c_2894]) ).
tcf(c_20318,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_2241]) ).
tcf(c_20319,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_2173]) ).
tcf(c_20320,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_2077]) ).
tcf(c_20321,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1996]) ).
tcf(c_20323,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1885]) ).
tcf(c_20326,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1720]) ).
tcf(c_20328,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1650]) ).
tcf(c_20329,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1586]) ).
tcf(c_20330,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1541]) ).
tcf(c_20332,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1448]) ).
tcf(c_20334,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1343]) ).
tcf(c_20335,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1305]) ).
tcf(c_20336,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1272]) ).
tcf(c_20341,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1167]) ).
tcf(c_20342,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_1135]) ).
tcf(c_20346,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19642,c_2234]) ).
tcf(c_20347,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19642,c_2229]) ).
tcf(c_20348,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19642,c_2072]) ).
tcf(c_20349,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19642,c_2067]) ).
tcf(c_20350,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19642,c_1713]) ).
tcf(c_20351,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19642,c_1581]) ).
tcf(c_20352,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_19642,c_647]) ).
tcf(c_20353,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_19642,c_645]) ).
tcf(c_20354,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_19642,c_644]) ).
tcf(c_20355,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19642,c_640]) ).
tcf(c_20356,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_639]) ).
tcf(c_20357,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19642,c_636]) ).
tcf(c_20358,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19642,c_632]) ).
tcf(c_20360,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_627]) ).
tcf(c_20392,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20342,c_7301]) ).
tcf(c_20396,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20341,c_7301]) ).
tcf(c_20400,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20336,c_7301]) ).
tcf(c_20404,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20335,c_7301]) ).
tcf(c_20408,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20334,c_7301]) ).
tcf(c_20452,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20310,c_7301]) ).
tcf(c_20456,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20309,c_7301]) ).
tcf(c_20720,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_19641]) ).
tcf(c_20721,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_19640]) ).
tcf(c_20728,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19643,c_3310]) ).
tcf(c_20729,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19643,c_3252]) ).
tcf(c_20730,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19643,c_3199]) ).
tcf(c_20731,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19643,c_3105]) ).
tcf(c_20742,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_19643,c_2895]) ).
tcf(c_20743,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19643,c_2894]) ).
tcf(c_20750,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_2167]) ).
tcf(c_20751,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_2162]) ).
tcf(c_20752,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_1993]) ).
tcf(c_20753,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_1987]) ).
tcf(c_20755,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_1883]) ).
tcf(c_20756,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_1877]) ).
tcf(c_20758,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_1644]) ).
tcf(c_20760,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_1538]) ).
tcf(c_20762,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19643,c_1446]) ).
tcf(c_20764,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_19643,c_646]) ).
tcf(c_20775,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_19643,c_638]) ).
tcf(c_20777,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19643,c_627]) ).
tcf(c_20819,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20731,c_7301]) ).
tcf(c_20823,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20730,c_7301]) ).
tcf(c_20827,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20729,c_7301]) ).
tcf(c_20831,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20728,c_7301]) ).
tcf(c_20937,plain,
inverse(iPr_def_21) = sk_c5,
inference(demodulation,[status(thm)],[c_19619,c_17582]) ).
tcf(c_20939,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_18) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_14668,c_20937]) ).
tcf(c_20942,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_21) )
| ( multiply(X0,sk_c5) != inverse(X0) )
| ( multiply(iPr_def_21,inverse(iPr_def_21)) != sk_c11 )
| ( multiply(inverse(iPr_def_21),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_20937,c_643]) ).
tcf(c_20945,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(sk_c5,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c5 )
| ( multiply(X0,sk_c5) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_20942,c_1258,c_20937]) ).
tcf(c_20952,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1950,c_19618]) ).
tcf(c_20953,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1497,c_19618]) ).
tcf(c_20954,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1195,c_19618]) ).
tcf(c_20955,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1193,c_19618]) ).
tcf(c_20956,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm)],[c_1258,c_19618]) ).
tcf(c_20957,plain,
multiply(sk_c5,sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_7390,c_19618]) ).
tcf(c_20958,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8459,c_19618]) ).
tcf(c_20959,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8460,c_19618]) ).
tcf(c_20961,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_14668,c_19618]) ).
tcf(c_20962,plain,
! [X0: $i] : multiply(inverse(sk_c5),X0) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_19618,c_16658]) ).
tcf(c_20963,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(iPr_def_21,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_19618,c_105]) ).
tcf(c_20965,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_20959,c_12804]) ).
tcf(c_20968,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_20958,c_12804]) ).
tcf(c_20971,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_20955,c_12804]) ).
tcf(c_20974,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_20954,c_12804]) ).
tcf(c_20977,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_20953,c_12804]) ).
tcf(c_20980,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_20952,c_12804]) ).
tcf(c_21043,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20073,c_18690]) ).
tcf(c_21044,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20073,c_18689]) ).
tcf(c_21045,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20073,c_18688]) ).
tcf(c_21046,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20073,c_18104]) ).
tcf(c_21047,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20073,c_18103]) ).
tcf(c_21048,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20073,c_18102]) ).
tcf(c_21049,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20073,c_17605]) ).
tcf(c_21050,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_20073,c_17582]) ).
tcf(c_21051,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20073,c_103]) ).
tcf(c_21145,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7145,c_16658]) ).
tcf(c_21147,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7145,c_2914]) ).
tcf(c_21154,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7146,c_16658]) ).
tcf(c_21156,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7146,c_2919]) ).
tcf(c_21179,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7147,c_16658]) ).
tcf(c_21181,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_7147,c_2899]) ).
tcf(c_21182,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_7147,c_2897]) ).
tcf(c_21184,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_21182,c_12804]) ).
tcf(c_21187,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_21181,c_13432]) ).
tcf(c_21250,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_7148,c_646]) ).
tcf(c_21265,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20720,c_18690]) ).
tcf(c_21268,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20720,c_18104]) ).
tcf(c_21271,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20720,c_17605]) ).
tcf(c_21272,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_20720,c_17582]) ).
tcf(c_21273,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20720,c_103]) ).
tcf(c_21298,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20721,c_18688]) ).
tcf(c_21301,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20721,c_18102]) ).
tcf(c_21302,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20721,c_17605]) ).
tcf(c_21303,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_20721,c_17582]) ).
tcf(c_21304,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20721,c_103]) ).
tcf(c_21349,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21044,c_7320]) ).
tcf(c_21350,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21044,c_2915]) ).
tcf(c_21351,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_21044,c_1261]) ).
tcf(c_21391,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21047,c_7320]) ).
tcf(c_21392,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21047,c_2915]) ).
tcf(c_21393,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_21047,c_1261]) ).
tcf(c_21430,plain,
multiply(sk_c10,identity) = multiply(iPr_def_17,iPr_def_27),
inference(superposition,[status(thm)],[c_17582,c_7304]) ).
tcf(c_21431,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(sk_c10,X0)) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_7304,c_16658]) ).
tcf(c_21432,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(sk_c10,X0),X1),
inference(superposition,[status(thm)],[c_7304,c_105]) ).
tcf(c_21433,plain,
multiply(sk_c10,identity) = sk_c10,
inference(light_normalisation,[status(thm)],[c_21430,c_7301]) ).
tcf(c_21436,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_21047,c_7323]) ).
tcf(c_21437,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_21044,c_7323]) ).
tcf(c_21438,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_18772,c_7323]) ).
tcf(c_21439,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_18747,c_7323]) ).
tcf(c_21440,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_7132,c_7323]) ).
tcf(c_21441,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_7001,c_7323]) ).
tcf(c_21442,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_6790,c_7323]) ).
tcf(c_21443,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_6787,c_7323]) ).
tcf(c_21444,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_6580,c_7323]) ).
tcf(c_21445,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_6577,c_7323]) ).
tcf(c_21446,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_6085,c_7323]) ).
tcf(c_21447,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_5863,c_7323]) ).
tcf(c_21448,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_5748,c_7323]) ).
tcf(c_21449,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_5744,c_7323]) ).
tcf(c_21450,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_5260,c_7323]) ).
tcf(c_21451,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_5257,c_7323]) ).
tcf(c_21452,plain,
multiply(sk_c10,identity) = multiply(iPr_def_29,iPr_def_28),
inference(superposition,[status(thm)],[c_17582,c_7323]) ).
tcf(c_21453,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_18808,c_7323]) ).
tcf(c_21454,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_5148,c_7323]) ).
tcf(c_21455,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_4969,c_7323]) ).
tcf(c_21456,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_4967,c_7323]) ).
tcf(c_21457,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_4549,c_7323]) ).
tcf(c_21458,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_4463,c_7323]) ).
tcf(c_21459,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_4214,c_7323]) ).
tcf(c_21460,plain,
! [X0: $i] : multiply(inverse(iPr_def_29),multiply(sk_c10,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_7323,c_16658]) ).
tcf(c_21461,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_29,multiply(multiply(iPr_def_28,X0),X1)) = multiply(multiply(sk_c10,X0),X1),
inference(superposition,[status(thm)],[c_7323,c_105]) ).
tcf(c_21700,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_14032,c_7388]) ).
tcf(c_21701,plain,
multiply(sk_c8,identity) = multiply(iPr_def_19,iPr_def_16),
inference(superposition,[status(thm)],[c_17582,c_7388]) ).
tcf(c_21702,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_7388,c_16658]) ).
tcf(c_21703,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_7388,c_105]) ).
tcf(c_21704,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_21701,c_7385]) ).
tcf(c_21710,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_14668,c_7554]) ).
tcf(c_21711,plain,
multiply(sk_c8,identity) = multiply(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_17582,c_7554]) ).
tcf(c_21712,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),multiply(sk_c8,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_7554,c_16658]) ).
tcf(c_21713,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_7554,c_105]) ).
tcf(c_21725,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_21265,c_7323]) ).
tcf(c_21740,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21265,c_7320]) ).
tcf(c_21750,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_21268,c_7323]) ).
tcf(c_21765,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21268,c_7320]) ).
tcf(c_21784,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_21298,c_7323]) ).
tcf(c_21808,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21298,c_7320]) ).
tcf(c_21809,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21298,c_2915]) ).
tcf(c_21810,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_21298,c_1261]) ).
tcf(c_21857,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_21301,c_7323]) ).
tcf(c_21881,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21301,c_7320]) ).
tcf(c_21882,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21301,c_2915]) ).
tcf(c_21883,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_21301,c_1261]) ).
tcf(c_21912,plain,
multiply(sk_c10,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_17582,c_7628]) ).
tcf(c_21913,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(sk_c10,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_7628,c_16658]) ).
tcf(c_21914,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),X1)) = multiply(multiply(sk_c10,X0),X1),
inference(superposition,[status(thm)],[c_7628,c_105]) ).
tcf(c_21919,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_7148,c_7633]) ).
tcf(c_21920,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_7016,c_7633]) ).
tcf(c_21921,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_5162,c_7633]) ).
tcf(c_21922,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_1087,c_7633]) ).
tcf(c_21923,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_22) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_7265,c_7633]) ).
tcf(c_21924,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_20) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_7546,c_7633]) ).
tcf(c_21925,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_25) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_7794,c_7633]) ).
tcf(c_21926,plain,
multiply(sk_c11,identity) = multiply(iPr_def_25,iPr_def_26),
inference(superposition,[status(thm)],[c_17582,c_7633]) ).
tcf(c_21927,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),multiply(sk_c11,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_7633,c_16658]) ).
tcf(c_21928,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_25,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_7633,c_105]) ).
tcf(c_21930,plain,
multiply(sk_c11,identity) = sk_c11,
inference(light_normalisation,[status(thm)],[c_21926,c_7630]) ).
tcf(c_21947,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_14035,c_14259]) ).
tcf(c_21954,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19643,c_21947]) ).
tcf(c_21955,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19641,c_21947]) ).
tcf(c_21956,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19640,c_21947]) ).
tcf(c_21982,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1844,c_21947]) ).
tcf(c_21987,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1420,c_21947]) ).
tcf(c_21989,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1120,c_21947]) ).
tcf(c_21990,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_687,c_21947]) ).
tcf(c_21991,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_21947]) ).
tcf(c_21992,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_21947]) ).
tcf(c_21993,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_683,c_21947]) ).
tcf(c_21994,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_21947]) ).
tcf(c_21995,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_677,c_21947]) ).
tcf(c_21996,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_676,c_21947]) ).
tcf(c_21997,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_674,c_21947]) ).
tcf(c_21998,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_673,c_21947]) ).
tcf(c_21999,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_21947]) ).
tcf(c_22000,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_21947]) ).
tcf(c_22001,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_21947]) ).
tcf(c_22002,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_21947]) ).
tcf(c_22003,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_663,c_21947]) ).
tcf(c_22004,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_661,c_21947]) ).
tcf(c_22008,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_21947,c_16658]) ).
tcf(c_22009,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_21947,c_105]) ).
tcf(c_22010,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21947,c_646]) ).
tcf(c_22011,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_17,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_21947,c_7304]) ).
tcf(c_22141,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19643,c_14039]) ).
tcf(c_22142,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_14039]) ).
tcf(c_22143,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_14039]) ).
tcf(c_22197,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14039,c_646]) ).
tcf(c_22214,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2364,c_16852]) ).
tcf(c_22215,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1848,c_16852]) ).
tcf(c_22216,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1422,c_16852]) ).
tcf(c_22217,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1121,c_16852]) ).
tcf(c_22218,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1061,c_16852]) ).
tcf(c_22219,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_14032,c_16852]) ).
tcf(c_22220,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_19)) != sk_c10 )
| ( multiply(sk_c7,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_16852,c_647]) ).
tcf(c_22221,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_19)) != sk_c10 )
| ( multiply(sk_c7,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16852,c_645]) ).
tcf(c_22222,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_19)) != sk_c11 )
| ( multiply(sk_c7,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16852,c_644]) ).
tcf(c_22223,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_19)),multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_16852,c_16658]) ).
tcf(c_22224,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_19),multiply(X0,X1)) = multiply(multiply(sk_c7,X0),X1),
inference(superposition,[status(thm)],[c_16852,c_105]) ).
tcf(c_22225,plain,
multiply(sk_c7,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_16852,c_104]) ).
tcf(c_22226,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_19))) != inverse(X0) )
| ( multiply(sk_c7,inverse(X0)) != inverse(inverse(iPr_def_19)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16852,c_643]) ).
tcf(c_22227,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_19)) != sk_c11 )
| ( multiply(sk_c7,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_16852,c_646]) ).
tcf(c_22228,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_16852,c_16658]) ).
tcf(c_22229,plain,
multiply(sk_c7,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_16852,c_17582]) ).
tcf(c_22358,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_14032,c_22225]) ).
tcf(c_22359,plain,
multiply(inverse(sk_c7),identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_22225,c_16658]) ).
tcf(c_22360,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_22225,c_105]) ).
tcf(c_22361,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_22225,c_2917]) ).
tcf(c_22366,plain,
inverse(iPr_def_19) = sk_c7,
inference(demodulation,[status(thm)],[c_22229,c_17582]) ).
tcf(c_22368,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c9 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_2364,c_22366]) ).
tcf(c_22369,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_1848,c_22366]) ).
tcf(c_22370,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_1422,c_22366]) ).
tcf(c_22371,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1121,c_22366]) ).
tcf(c_22372,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1061,c_22366]) ).
tcf(c_22383,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_14032,c_22366]) ).
tcf(c_22386,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_22366,c_643]) ).
tcf(c_22389,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(sk_c7,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c7 )
| ( multiply(X0,sk_c7) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_22386,c_1259,c_22366]) ).
tcf(c_22401,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm)],[c_1259,c_22228]) ).
tcf(c_22402,plain,
multiply(sk_c7,sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_7385,c_22228]) ).
tcf(c_22405,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_14032,c_22228]) ).
tcf(c_22406,plain,
! [X0: $i] : multiply(inverse(sk_c7),X0) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_22228,c_16658]) ).
tcf(c_22407,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_22228,c_105]) ).
tcf(c_22435,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19643,c_14045]) ).
tcf(c_22436,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19641,c_14045]) ).
tcf(c_22437,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19640,c_14045]) ).
tcf(c_22463,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1844,c_14045]) ).
tcf(c_22468,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1420,c_14045]) ).
tcf(c_22470,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1120,c_14045]) ).
tcf(c_22471,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_14045]) ).
tcf(c_22472,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_686,c_14045]) ).
tcf(c_22473,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_684,c_14045]) ).
tcf(c_22474,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_683,c_14045]) ).
tcf(c_22475,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_14045]) ).
tcf(c_22476,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_677,c_14045]) ).
tcf(c_22477,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_676,c_14045]) ).
tcf(c_22478,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_674,c_14045]) ).
tcf(c_22479,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_673,c_14045]) ).
tcf(c_22480,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_14045]) ).
tcf(c_22481,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_14045]) ).
tcf(c_22482,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_666,c_14045]) ).
tcf(c_22483,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_14045]) ).
tcf(c_22484,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_663,c_14045]) ).
tcf(c_22485,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_661,c_14045]) ).
tcf(c_22489,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_14045,c_16658]) ).
tcf(c_22491,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14045,c_646]) ).
tcf(c_22648,plain,
( ( iPr_def_24 = iPr_def_15 )
| ( iPr_def_24 != iPr_def_24 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_4514]) ).
tcf(c_22652,plain,
( ( sk_c9 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c9 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_1377]) ).
tcf(c_22661,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19643,c_14048]) ).
tcf(c_22662,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19641,c_14048]) ).
tcf(c_22663,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19640,c_14048]) ).
tcf(c_22689,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1844,c_14048]) ).
tcf(c_22694,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1420,c_14048]) ).
tcf(c_22696,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1120,c_14048]) ).
tcf(c_22697,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_687,c_14048]) ).
tcf(c_22698,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_686,c_14048]) ).
tcf(c_22699,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_684,c_14048]) ).
tcf(c_22700,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_683,c_14048]) ).
tcf(c_22701,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_681,c_14048]) ).
tcf(c_22702,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_677,c_14048]) ).
tcf(c_22703,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_676,c_14048]) ).
tcf(c_22704,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_674,c_14048]) ).
tcf(c_22705,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_673,c_14048]) ).
tcf(c_22706,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_671,c_14048]) ).
tcf(c_22707,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_667,c_14048]) ).
tcf(c_22708,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_666,c_14048]) ).
tcf(c_22709,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_664,c_14048]) ).
tcf(c_22710,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_663,c_14048]) ).
tcf(c_22711,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_661,c_14048]) ).
tcf(c_22715,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_14048,c_16658]) ).
tcf(c_22717,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14048,c_646]) ).
tcf(c_22718,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_14048,c_7628]) ).
tcf(c_23003,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19643,c_14053]) ).
tcf(c_23004,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19641,c_14053]) ).
tcf(c_23005,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19640,c_14053]) ).
tcf(c_23031,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1844,c_14053]) ).
tcf(c_23036,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1420,c_14053]) ).
tcf(c_23038,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1120,c_14053]) ).
tcf(c_23039,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_687,c_14053]) ).
tcf(c_23040,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_686,c_14053]) ).
tcf(c_23041,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_684,c_14053]) ).
tcf(c_23042,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_683,c_14053]) ).
tcf(c_23043,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_681,c_14053]) ).
tcf(c_23044,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_677,c_14053]) ).
tcf(c_23045,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_676,c_14053]) ).
tcf(c_23046,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_674,c_14053]) ).
tcf(c_23047,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_673,c_14053]) ).
tcf(c_23048,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_14053]) ).
tcf(c_23049,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_667,c_14053]) ).
tcf(c_23050,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_666,c_14053]) ).
tcf(c_23051,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_14053]) ).
tcf(c_23052,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_663,c_14053]) ).
tcf(c_23053,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_661,c_14053]) ).
tcf(c_23057,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_14053,c_16658]) ).
tcf(c_23059,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_28 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14053,c_646]) ).
tcf(c_23060,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_14053,c_7323]) ).
tcf(c_23146,plain,
( ( sk_c9 = iPr_def_24 )
| ( iPr_def_24 != iPr_def_15 )
| ( sk_c9 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1564]) ).
tcf(c_23168,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19643,c_14676]) ).
tcf(c_23169,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_14676]) ).
tcf(c_23170,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_14676]) ).
tcf(c_23224,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14676,c_646]) ).
tcf(c_23272,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_22368,c_13432]) ).
tcf(c_23273,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22368,c_2899]) ).
tcf(c_23274,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_1951]) ).
tcf(c_23275,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_1799]) ).
tcf(c_23276,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_1498]) ).
tcf(c_23277,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_1390]) ).
tcf(c_23278,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_1184]) ).
tcf(c_23279,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_1183]) ).
tcf(c_23280,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_1182]) ).
tcf(c_23281,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_1181]) ).
tcf(c_23282,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22368,c_2917]) ).
tcf(c_23283,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_22368,c_1259]) ).
tcf(c_23284,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_628]) ).
tcf(c_23285,plain,
( ( sk_c9 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_22368,c_631]) ).
tcf(c_23352,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_22369,c_13432]) ).
tcf(c_23353,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22369,c_2899]) ).
tcf(c_23354,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_1951]) ).
tcf(c_23355,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_1799]) ).
tcf(c_23356,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_1498]) ).
tcf(c_23357,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_1390]) ).
tcf(c_23358,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_1184]) ).
tcf(c_23359,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_1183]) ).
tcf(c_23360,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_1182]) ).
tcf(c_23361,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_1181]) ).
tcf(c_23362,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22369,c_2917]) ).
tcf(c_23363,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_22369,c_1259]) ).
tcf(c_23364,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_628]) ).
tcf(c_23365,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_22369,c_631]) ).
tcf(c_23421,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_22370,c_13432]) ).
tcf(c_23422,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22370,c_2899]) ).
tcf(c_23425,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22370,c_1498]) ).
tcf(c_23426,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22370,c_1390]) ).
tcf(c_23427,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22370,c_1184]) ).
tcf(c_23428,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22370,c_1183]) ).
tcf(c_23429,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22370,c_1182]) ).
tcf(c_23430,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22370,c_1181]) ).
tcf(c_23431,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22370,c_2917]) ).
tcf(c_23432,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_22370,c_1259]) ).
tcf(c_23433,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22370,c_628]) ).
tcf(c_23434,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_22370,c_631]) ).
tcf(c_23495,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23285,c_643]) ).
tcf(c_23512,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23365,c_643]) ).
tcf(c_23526,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23434,c_643]) ).
tcf(c_23538,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19643,c_14682]) ).
tcf(c_23539,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19641,c_14682]) ).
tcf(c_23540,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19640,c_14682]) ).
tcf(c_23563,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1947,c_14682]) ).
tcf(c_23569,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1495,c_14682]) ).
tcf(c_23572,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1155,c_14682]) ).
tcf(c_23574,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_14682]) ).
tcf(c_23575,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_686,c_14682]) ).
tcf(c_23576,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_684,c_14682]) ).
tcf(c_23577,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_683,c_14682]) ).
tcf(c_23578,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_14682]) ).
tcf(c_23579,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_677,c_14682]) ).
tcf(c_23580,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_676,c_14682]) ).
tcf(c_23581,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_674,c_14682]) ).
tcf(c_23582,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_673,c_14682]) ).
tcf(c_23583,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_14682]) ).
tcf(c_23584,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_14682]) ).
tcf(c_23585,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_666,c_14682]) ).
tcf(c_23586,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_14682]) ).
tcf(c_23587,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_663,c_14682]) ).
tcf(c_23588,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_661,c_14682]) ).
tcf(c_23592,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_14682,c_16658]) ).
tcf(c_23594,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14682,c_646]) ).
tcf(c_23767,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_22371,c_13432]) ).
tcf(c_23768,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22371,c_2899]) ).
tcf(c_23773,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22371,c_1184]) ).
tcf(c_23774,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22371,c_1183]) ).
tcf(c_23775,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22371,c_1182]) ).
tcf(c_23776,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22371,c_1181]) ).
tcf(c_23777,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22371,c_2917]) ).
tcf(c_23778,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_22371,c_1259]) ).
tcf(c_23779,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22371,c_628]) ).
tcf(c_23780,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_22371,c_631]) ).
tcf(c_23827,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_22372,c_13432]) ).
tcf(c_23828,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22372,c_2899]) ).
tcf(c_23833,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22372,c_1184]) ).
tcf(c_23834,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22372,c_1183]) ).
tcf(c_23837,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22372,c_2917]) ).
tcf(c_23838,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_22372,c_1259]) ).
tcf(c_23839,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22372,c_628]) ).
tcf(c_23840,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_22372,c_631]) ).
tcf(c_23862,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_23434,c_16853]) ).
tcf(c_23863,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_23365,c_16853]) ).
tcf(c_23864,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_23285,c_16853]) ).
tcf(c_23865,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_18)) != sk_c10 )
| ( multiply(sk_c6,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_16853,c_647]) ).
tcf(c_23866,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_18)) != sk_c10 )
| ( multiply(sk_c6,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16853,c_645]) ).
tcf(c_23867,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_18)) != sk_c11 )
| ( multiply(sk_c6,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16853,c_644]) ).
tcf(c_23868,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_18)),multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_16853,c_16658]) ).
tcf(c_23869,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_18),multiply(X0,X1)) = multiply(multiply(sk_c6,X0),X1),
inference(superposition,[status(thm)],[c_16853,c_105]) ).
tcf(c_23870,plain,
multiply(sk_c6,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_16853,c_104]) ).
tcf(c_23871,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_18))) != inverse(X0) )
| ( multiply(sk_c6,inverse(X0)) != inverse(inverse(iPr_def_18)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16853,c_643]) ).
tcf(c_23872,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_18)) != sk_c11 )
| ( multiply(sk_c6,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_16853,c_646]) ).
tcf(c_23873,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_16853,c_16658]) ).
tcf(c_23874,plain,
multiply(sk_c6,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_16853,c_17582]) ).
tcf(c_23927,plain,
( ( sk_c10 = inverse(sk_c2) )
| ( sk_c10 != sk_c10 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1742]) ).
tcf(c_23940,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_688,c_23870]) ).
tcf(c_23942,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_678,c_23870]) ).
tcf(c_23944,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_668,c_23870]) ).
tcf(c_23946,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_658,c_23870]) ).
tcf(c_23948,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_648,c_23870]) ).
tcf(c_23949,plain,
multiply(inverse(sk_c6),identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_23870,c_16658]) ).
tcf(c_23950,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_23870,c_105]) ).
tcf(c_23951,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_23870,c_2916]) ).
tcf(c_23965,plain,
( ( sk_c10 = inverse(sk_c4) )
| ( sk_c10 != sk_c10 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1742]) ).
tcf(c_23973,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23940,c_16658]) ).
tcf(c_23974,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23940,c_105]) ).
tcf(c_23975,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_23940,c_7388]) ).
tcf(c_23980,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23974,c_103]) ).
tcf(c_23990,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23942,c_16658]) ).
tcf(c_23991,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23942,c_105]) ).
tcf(c_23992,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_23942,c_7388]) ).
tcf(c_23997,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23991,c_103]) ).
tcf(c_24078,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23944,c_16658]) ).
tcf(c_24079,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23944,c_105]) ).
tcf(c_24080,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_23944,c_7388]) ).
tcf(c_24085,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_24079,c_103]) ).
tcf(c_24093,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23946,c_16658]) ).
tcf(c_24094,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23946,c_105]) ).
tcf(c_24095,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_23946,c_7388]) ).
tcf(c_24100,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_24094,c_103]) ).
tcf(c_24108,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23948,c_16658]) ).
tcf(c_24109,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23948,c_105]) ).
tcf(c_24110,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_23948,c_7388]) ).
tcf(c_24115,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_24109,c_103]) ).
tcf(c_24154,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23780,c_643]) ).
tcf(c_24155,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_23780,c_16853]) ).
tcf(c_24172,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23840,c_643]) ).
tcf(c_24173,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_23840,c_16853]) ).
tcf(c_24188,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19643,c_14685]) ).
tcf(c_24189,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19641,c_14685]) ).
tcf(c_24190,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19640,c_14685]) ).
tcf(c_24213,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1947,c_14685]) ).
tcf(c_24219,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1495,c_14685]) ).
tcf(c_24222,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1155,c_14685]) ).
tcf(c_24224,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_687,c_14685]) ).
tcf(c_24225,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_686,c_14685]) ).
tcf(c_24226,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_684,c_14685]) ).
tcf(c_24227,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_683,c_14685]) ).
tcf(c_24228,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_681,c_14685]) ).
tcf(c_24229,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_677,c_14685]) ).
tcf(c_24230,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_676,c_14685]) ).
tcf(c_24231,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_674,c_14685]) ).
tcf(c_24232,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_673,c_14685]) ).
tcf(c_24233,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_671,c_14685]) ).
tcf(c_24234,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_667,c_14685]) ).
tcf(c_24235,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_666,c_14685]) ).
tcf(c_24236,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_664,c_14685]) ).
tcf(c_24237,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_663,c_14685]) ).
tcf(c_24238,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_661,c_14685]) ).
tcf(c_24242,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_14685,c_16658]) ).
tcf(c_24244,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14685,c_646]) ).
tcf(c_24245,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_14685,c_7628]) ).
tcf(c_24361,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19643,c_14688]) ).
tcf(c_24362,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19641,c_14688]) ).
tcf(c_24363,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19640,c_14688]) ).
tcf(c_24386,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1947,c_14688]) ).
tcf(c_24392,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1495,c_14688]) ).
tcf(c_24395,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1155,c_14688]) ).
tcf(c_24397,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_687,c_14688]) ).
tcf(c_24398,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_14688]) ).
tcf(c_24399,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_14688]) ).
tcf(c_24400,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_683,c_14688]) ).
tcf(c_24401,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_14688]) ).
tcf(c_24402,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_677,c_14688]) ).
tcf(c_24403,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_676,c_14688]) ).
tcf(c_24404,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_674,c_14688]) ).
tcf(c_24405,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_673,c_14688]) ).
tcf(c_24406,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_14688]) ).
tcf(c_24407,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_14688]) ).
tcf(c_24408,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_14688]) ).
tcf(c_24409,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_14688]) ).
tcf(c_24410,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_663,c_14688]) ).
tcf(c_24411,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_661,c_14688]) ).
tcf(c_24415,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_14688,c_16658]) ).
tcf(c_24417,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14688,c_646]) ).
tcf(c_24418,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_17,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_14688,c_7304]) ).
tcf(c_24629,plain,
inverse(iPr_def_18) = sk_c6,
inference(demodulation,[status(thm)],[c_23874,c_17582]) ).
tcf(c_24630,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_23840,c_24629]) ).
tcf(c_24631,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_23780,c_24629]) ).
tcf(c_24633,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_23434,c_24629]) ).
tcf(c_24634,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_23365,c_24629]) ).
tcf(c_24635,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_23285,c_24629]) ).
tcf(c_24648,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,sk_c6) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24629,c_643]) ).
tcf(c_24649,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(sk_c6,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c6 )
| ( multiply(X0,sk_c6) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_24648,c_1260,c_24629]) ).
tcf(c_24666,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1798,c_23873]) ).
tcf(c_24667,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1389,c_23873]) ).
tcf(c_24668,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1196,c_23873]) ).
tcf(c_24669,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1194,c_23873]) ).
tcf(c_24670,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm)],[c_1260,c_23873]) ).
tcf(c_24671,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2361,c_23873]) ).
tcf(c_24672,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1845,c_23873]) ).
tcf(c_24673,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1687,c_23873]) ).
tcf(c_24674,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1685,c_23873]) ).
tcf(c_24675,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1683,c_23873]) ).
tcf(c_24676,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2283,c_23873]) ).
tcf(c_24677,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1757,c_23873]) ).
tcf(c_24678,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1688,c_23873]) ).
tcf(c_24679,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1686,c_23873]) ).
tcf(c_24680,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1684,c_23873]) ).
tcf(c_24681,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8515,c_23873]) ).
tcf(c_24682,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8516,c_23873]) ).
tcf(c_24684,plain,
! [X0: $i] : multiply(inverse(sk_c6),X0) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_23873,c_16658]) ).
tcf(c_24685,plain,
! [X0: $i,X1: $i] : multiply(sk_c6,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_23873,c_105]) ).
tcf(c_24789,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19643,c_14691]) ).
tcf(c_24790,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19641,c_14691]) ).
tcf(c_24791,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19640,c_14691]) ).
tcf(c_24814,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1947,c_14691]) ).
tcf(c_24820,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1495,c_14691]) ).
tcf(c_24823,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1155,c_14691]) ).
tcf(c_24825,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_687,c_14691]) ).
tcf(c_24826,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_686,c_14691]) ).
tcf(c_24827,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_684,c_14691]) ).
tcf(c_24828,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_683,c_14691]) ).
tcf(c_24829,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_681,c_14691]) ).
tcf(c_24830,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_677,c_14691]) ).
tcf(c_24831,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_676,c_14691]) ).
tcf(c_24832,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_674,c_14691]) ).
tcf(c_24833,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_673,c_14691]) ).
tcf(c_24834,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_14691]) ).
tcf(c_24835,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_667,c_14691]) ).
tcf(c_24836,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_666,c_14691]) ).
tcf(c_24837,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_14691]) ).
tcf(c_24838,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_663,c_14691]) ).
tcf(c_24839,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_661,c_14691]) ).
tcf(c_24843,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_14691,c_16658]) ).
tcf(c_24845,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_28 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14691,c_646]) ).
tcf(c_24846,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_14691,c_7323]) ).
tcf(c_25060,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18186,c_647]) ).
tcf(c_25061,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18186,c_645]) ).
tcf(c_25062,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18186,c_644]) ).
tcf(c_25063,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18186,c_16658]) ).
tcf(c_25064,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18186,c_105]) ).
tcf(c_25065,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_26) )
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18186,c_643]) ).
tcf(c_25066,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18186,c_646]) ).
tcf(c_25067,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18186,c_7148]) ).
tcf(c_25069,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18186,c_5162]) ).
tcf(c_25071,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_18186,c_7633]) ).
tcf(c_25072,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18186,c_7265]) ).
tcf(c_25073,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18186,c_7546]) ).
tcf(c_25074,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18186,c_7794]) ).
tcf(c_25262,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25067,c_7148]) ).
tcf(c_25263,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25067,c_19643]) ).
tcf(c_25264,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25067,c_19641]) ).
tcf(c_25265,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25067,c_19640]) ).
tcf(c_25268,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25067,c_6460]) ).
tcf(c_25270,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25067,c_5162]) ).
tcf(c_25271,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25067,c_4849]) ).
tcf(c_25286,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_25067,c_2895]) ).
tcf(c_25287,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_25067,c_2894]) ).
tcf(c_25298,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25067,c_1087]) ).
tcf(c_25299,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25067,c_2167]) ).
tcf(c_25301,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25067,c_1993]) ).
tcf(c_25304,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25067,c_1883]) ).
tcf(c_25307,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25067,c_1644]) ).
tcf(c_25308,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25067,c_1052]) ).
tcf(c_25309,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25067,c_1538]) ).
tcf(c_25311,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25067,c_1446]) ).
tcf(c_25313,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_25067,c_646]) ).
tcf(c_25316,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25067,c_687]) ).
tcf(c_25317,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25067,c_686]) ).
tcf(c_25318,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25067,c_684]) ).
tcf(c_25319,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25067,c_683]) ).
tcf(c_25320,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25067,c_681]) ).
tcf(c_25321,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25067,c_677]) ).
tcf(c_25322,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25067,c_676]) ).
tcf(c_25323,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25067,c_674]) ).
tcf(c_25324,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25067,c_673]) ).
tcf(c_25325,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25067,c_671]) ).
tcf(c_25326,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25067,c_667]) ).
tcf(c_25327,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25067,c_666]) ).
tcf(c_25328,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25067,c_664]) ).
tcf(c_25329,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25067,c_638]) ).
tcf(c_25330,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25067,c_663]) ).
tcf(c_25331,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25067,c_661]) ).
tcf(c_25333,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25067,c_627]) ).
tcf(c_25570,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18201,c_647]) ).
tcf(c_25571,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18201,c_645]) ).
tcf(c_25572,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18201,c_644]) ).
tcf(c_25573,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18201,c_16658]) ).
tcf(c_25574,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18201,c_105]) ).
tcf(c_25575,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_26) )
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18201,c_643]) ).
tcf(c_25576,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18201,c_646]) ).
tcf(c_25578,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18201,c_7016]) ).
tcf(c_25579,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18201,c_5162]) ).
tcf(c_25581,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_18201,c_7633]) ).
tcf(c_25582,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18201,c_7265]) ).
tcf(c_25583,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18201,c_7546]) ).
tcf(c_25584,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18201,c_7794]) ).
tcf(c_25655,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18216,c_647]) ).
tcf(c_25656,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18216,c_645]) ).
tcf(c_25657,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18216,c_644]) ).
tcf(c_25658,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18216,c_16658]) ).
tcf(c_25659,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18216,c_105]) ).
tcf(c_25660,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_26) )
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18216,c_643]) ).
tcf(c_25661,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18216,c_646]) ).
tcf(c_25664,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18216,c_5162]) ).
tcf(c_25666,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_18216,c_7633]) ).
tcf(c_25667,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18216,c_7265]) ).
tcf(c_25668,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18216,c_7546]) ).
tcf(c_25669,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18216,c_7794]) ).
tcf(c_25732,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18301,c_16658]) ).
tcf(c_25734,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18301,c_2915]) ).
tcf(c_25741,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18302,c_16658]) ).
tcf(c_25743,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18302,c_2914]) ).
tcf(c_25759,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_25299,c_7323]) ).
tcf(c_25763,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25299,c_5762]) ).
tcf(c_25764,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25299,c_5758]) ).
tcf(c_25765,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25299,c_5273]) ).
tcf(c_25766,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25299,c_5269]) ).
tcf(c_25783,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25299,c_7320]) ).
tcf(c_25784,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25299,c_2915]) ).
tcf(c_25785,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_25299,c_1261]) ).
tcf(c_25832,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_25301,c_7323]) ).
tcf(c_25836,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25301,c_5762]) ).
tcf(c_25837,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25301,c_5758]) ).
tcf(c_25838,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25301,c_5273]) ).
tcf(c_25839,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25301,c_5269]) ).
tcf(c_25856,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25301,c_7320]) ).
tcf(c_25857,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25301,c_2915]) ).
tcf(c_25858,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_25301,c_1261]) ).
tcf(c_25960,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_25304,c_7323]) ).
tcf(c_25964,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25304,c_5762]) ).
tcf(c_25965,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25304,c_5758]) ).
tcf(c_25966,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25304,c_5273]) ).
tcf(c_25967,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25304,c_5269]) ).
tcf(c_25984,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25304,c_7320]) ).
tcf(c_25985,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25304,c_2915]) ).
tcf(c_25986,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_25304,c_1261]) ).
tcf(c_26088,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25578,c_19643]) ).
tcf(c_26089,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25578,c_19641]) ).
tcf(c_26090,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25578,c_19640]) ).
tcf(c_26091,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25578,c_7016]) ).
tcf(c_26094,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25578,c_6316]) ).
tcf(c_26095,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25578,c_5162]) ).
tcf(c_26096,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25578,c_4849]) ).
tcf(c_26111,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_25578,c_2895]) ).
tcf(c_26112,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_25578,c_2894]) ).
tcf(c_26123,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25578,c_1087]) ).
tcf(c_26125,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25578,c_2162]) ).
tcf(c_26127,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25578,c_1987]) ).
tcf(c_26130,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25578,c_1877]) ).
tcf(c_26132,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25578,c_1644]) ).
tcf(c_26133,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25578,c_1052]) ).
tcf(c_26134,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25578,c_1538]) ).
tcf(c_26136,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25578,c_1446]) ).
tcf(c_26138,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_25578,c_646]) ).
tcf(c_26141,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25578,c_687]) ).
tcf(c_26142,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25578,c_686]) ).
tcf(c_26143,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25578,c_684]) ).
tcf(c_26144,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25578,c_683]) ).
tcf(c_26145,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25578,c_681]) ).
tcf(c_26146,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25578,c_677]) ).
tcf(c_26147,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25578,c_676]) ).
tcf(c_26148,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25578,c_674]) ).
tcf(c_26149,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25578,c_673]) ).
tcf(c_26150,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25578,c_671]) ).
tcf(c_26151,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25578,c_667]) ).
tcf(c_26152,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25578,c_666]) ).
tcf(c_26153,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25578,c_664]) ).
tcf(c_26154,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25578,c_638]) ).
tcf(c_26155,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25578,c_663]) ).
tcf(c_26156,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25578,c_661]) ).
tcf(c_26158,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25578,c_627]) ).
tcf(c_26549,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18303,c_16658]) ).
tcf(c_26551,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18303,c_2919]) ).
tcf(c_26574,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18304,c_16658]) ).
tcf(c_26576,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18304,c_2899]) ).
tcf(c_26577,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18304,c_2897]) ).
tcf(c_26579,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_26577,c_12804]) ).
tcf(c_26582,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_26576,c_13432]) ).
tcf(c_26591,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19643,c_18306]) ).
tcf(c_26592,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_18306]) ).
tcf(c_26593,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_18306]) ).
tcf(c_26647,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18306,c_646]) ).
tcf(c_26654,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_26591,c_7301]) ).
tcf(c_26669,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18750,c_647]) ).
tcf(c_26670,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18750,c_645]) ).
tcf(c_26671,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18750,c_644]) ).
tcf(c_26672,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18750,c_16658]) ).
tcf(c_26673,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18750,c_105]) ).
tcf(c_26674,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18750,c_643]) ).
tcf(c_26675,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18750,c_646]) ).
tcf(c_26676,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_18750,c_7628]) ).
tcf(c_26789,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25664,c_19643]) ).
tcf(c_26790,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25664,c_19641]) ).
tcf(c_26791,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25664,c_19640]) ).
tcf(c_26796,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25664,c_5162]) ).
tcf(c_26797,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25664,c_4849]) ).
tcf(c_26812,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_25664,c_2895]) ).
tcf(c_26813,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_25664,c_2894]) ).
tcf(c_26824,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25664,c_1087]) ).
tcf(c_26833,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25664,c_1644]) ).
tcf(c_26834,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25664,c_1052]) ).
tcf(c_26835,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25664,c_1538]) ).
tcf(c_26837,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25664,c_1446]) ).
tcf(c_26839,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_25664,c_646]) ).
tcf(c_26842,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25664,c_687]) ).
tcf(c_26843,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25664,c_686]) ).
tcf(c_26844,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25664,c_684]) ).
tcf(c_26845,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25664,c_683]) ).
tcf(c_26846,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25664,c_681]) ).
tcf(c_26847,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25664,c_677]) ).
tcf(c_26848,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25664,c_676]) ).
tcf(c_26849,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25664,c_674]) ).
tcf(c_26850,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25664,c_673]) ).
tcf(c_26851,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25664,c_671]) ).
tcf(c_26852,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25664,c_667]) ).
tcf(c_26853,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25664,c_666]) ).
tcf(c_26854,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25664,c_664]) ).
tcf(c_26855,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25664,c_638]) ).
tcf(c_26856,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25664,c_663]) ).
tcf(c_26857,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25664,c_661]) ).
tcf(c_26859,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25664,c_627]) ).
tcf(c_27005,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_26125,c_7323]) ).
tcf(c_27007,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26125,c_5762]) ).
tcf(c_27008,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26125,c_5758]) ).
tcf(c_27009,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26125,c_5273]) ).
tcf(c_27010,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26125,c_5269]) ).
tcf(c_27027,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26125,c_7320]) ).
tcf(c_27028,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26125,c_2915]) ).
tcf(c_27029,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_26125,c_1261]) ).
tcf(c_27200,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_26127,c_7323]) ).
tcf(c_27202,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26127,c_5762]) ).
tcf(c_27203,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26127,c_5758]) ).
tcf(c_27204,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26127,c_5273]) ).
tcf(c_27205,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26127,c_5269]) ).
tcf(c_27222,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26127,c_7320]) ).
tcf(c_27223,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26127,c_2915]) ).
tcf(c_27224,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_26127,c_1261]) ).
tcf(c_27323,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_26130,c_7323]) ).
tcf(c_27325,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26130,c_5762]) ).
tcf(c_27326,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26130,c_5758]) ).
tcf(c_27327,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26130,c_5273]) ).
tcf(c_27328,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26130,c_5269]) ).
tcf(c_27345,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26130,c_7320]) ).
tcf(c_27346,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26130,c_2915]) ).
tcf(c_27347,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_26130,c_1261]) ).
tcf(c_27395,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18776,c_647]) ).
tcf(c_27396,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18776,c_645]) ).
tcf(c_27397,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18776,c_644]) ).
tcf(c_27398,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18776,c_16658]) ).
tcf(c_27399,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18776,c_105]) ).
tcf(c_27400,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18776,c_643]) ).
tcf(c_27401,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18776,c_646]) ).
tcf(c_27402,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_18776,c_7628]) ).
tcf(c_27461,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18813,c_647]) ).
tcf(c_27462,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18813,c_645]) ).
tcf(c_27463,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18813,c_644]) ).
tcf(c_27464,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18813,c_16658]) ).
tcf(c_27465,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18813,c_105]) ).
tcf(c_27466,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18813,c_643]) ).
tcf(c_27467,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18813,c_646]) ).
tcf(c_27468,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_18813,c_7628]) ).
tcf(c_27508,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18900,c_16658]) ).
tcf(c_27510,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18900,c_2915]) ).
tcf(c_27517,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18901,c_16658]) ).
tcf(c_27519,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18901,c_2914]) ).
tcf(c_27526,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_14691]) ).
tcf(c_27527,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_14053]) ).
tcf(c_27528,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_26833,c_7323]) ).
tcf(c_27543,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26833,c_7320]) ).
tcf(c_27559,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_14691]) ).
tcf(c_27560,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_14053]) ).
tcf(c_27561,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_26835,c_7323]) ).
tcf(c_27576,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26835,c_7320]) ).
tcf(c_27592,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_14691]) ).
tcf(c_27593,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_14053]) ).
tcf(c_27594,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_26837,c_7323]) ).
tcf(c_27609,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26837,c_7320]) ).
tcf(c_27679,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_26130,c_16854]) ).
tcf(c_27680,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_26127,c_16854]) ).
tcf(c_27681,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_26125,c_16854]) ).
tcf(c_27682,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_25304,c_16854]) ).
tcf(c_27683,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_25301,c_16854]) ).
tcf(c_27684,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_25299,c_16854]) ).
tcf(c_27685,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_21301,c_16854]) ).
tcf(c_27686,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_21298,c_16854]) ).
tcf(c_27687,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_21047,c_16854]) ).
tcf(c_27688,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_21044,c_16854]) ).
tcf(c_27689,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_18772,c_16854]) ).
tcf(c_27690,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_18747,c_16854]) ).
tcf(c_27691,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_7132,c_16854]) ).
tcf(c_27692,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_7001,c_16854]) ).
tcf(c_27693,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_6790,c_16854]) ).
tcf(c_27694,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_6787,c_16854]) ).
tcf(c_27695,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_6580,c_16854]) ).
tcf(c_27696,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_6577,c_16854]) ).
tcf(c_27697,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_6085,c_16854]) ).
tcf(c_27698,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_5863,c_16854]) ).
tcf(c_27699,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_5748,c_16854]) ).
tcf(c_27700,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_5744,c_16854]) ).
tcf(c_27701,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_5260,c_16854]) ).
tcf(c_27702,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_5257,c_16854]) ).
tcf(c_27703,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_29)) != sk_c10 )
| ( multiply(sk_c1,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_16854,c_647]) ).
tcf(c_27704,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_29)) != sk_c10 )
| ( multiply(sk_c1,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16854,c_645]) ).
tcf(c_27705,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_29)) != sk_c11 )
| ( multiply(sk_c1,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16854,c_644]) ).
tcf(c_27706,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_29)),multiply(sk_c1,X0)) = X0,
inference(superposition,[status(thm)],[c_16854,c_16658]) ).
tcf(c_27707,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_29),multiply(X0,X1)) = multiply(multiply(sk_c1,X0),X1),
inference(superposition,[status(thm)],[c_16854,c_105]) ).
tcf(c_27708,plain,
multiply(sk_c1,iPr_def_29) = identity,
inference(superposition,[status(thm)],[c_16854,c_104]) ).
tcf(c_27709,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_29))) != inverse(X0) )
| ( multiply(sk_c1,inverse(X0)) != inverse(inverse(iPr_def_29)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16854,c_643]) ).
tcf(c_27710,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_29)) != sk_c11 )
| ( multiply(sk_c1,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_16854,c_646]) ).
tcf(c_27711,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_29,X0)) = X0,
inference(superposition,[status(thm)],[c_16854,c_16658]) ).
tcf(c_27712,plain,
multiply(sk_c1,identity) = inverse(iPr_def_29),
inference(superposition,[status(thm)],[c_16854,c_17582]) ).
tcf(c_27764,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(inverse(iPr_def_29)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_27705,c_640]) ).
tcf(c_27768,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(inverse(iPr_def_29)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_27704,c_640]) ).
tcf(c_27772,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(inverse(iPr_def_29)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_27703,c_640]) ).
tcf(c_27843,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_26130,c_27708]) ).
tcf(c_27844,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_26127,c_27708]) ).
tcf(c_27845,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_26125,c_27708]) ).
tcf(c_27846,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_25304,c_27708]) ).
tcf(c_27847,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_25301,c_27708]) ).
tcf(c_27848,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_25299,c_27708]) ).
tcf(c_27849,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_21301,c_27708]) ).
tcf(c_27850,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_21298,c_27708]) ).
tcf(c_27851,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_21047,c_27708]) ).
tcf(c_27852,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_21044,c_27708]) ).
tcf(c_27853,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_18772,c_27708]) ).
tcf(c_27854,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_18747,c_27708]) ).
tcf(c_27855,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_7132,c_27708]) ).
tcf(c_27856,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_7001,c_27708]) ).
tcf(c_27857,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_6790,c_27708]) ).
tcf(c_27858,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_6787,c_27708]) ).
tcf(c_27859,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_6580,c_27708]) ).
tcf(c_27860,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_6577,c_27708]) ).
tcf(c_27861,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_6085,c_27708]) ).
tcf(c_27862,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_5863,c_27708]) ).
tcf(c_27863,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_5748,c_27708]) ).
tcf(c_27864,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_5744,c_27708]) ).
tcf(c_27865,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_5260,c_27708]) ).
tcf(c_27866,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_5257,c_27708]) ).
tcf(c_27867,plain,
multiply(inverse(sk_c1),identity) = iPr_def_29,
inference(superposition,[status(thm)],[c_27708,c_16658]) ).
tcf(c_27868,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_29,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_27708,c_105]) ).
tcf(c_27869,plain,
multiply(iPr_def_29,identity) = iPr_def_29,
inference(superposition,[status(thm)],[c_27708,c_2915]) ).
tcf(c_28244,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18902,c_16658]) ).
tcf(c_28246,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18902,c_2919]) ).
tcf(c_28271,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18903,c_16658]) ).
tcf(c_28273,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18903,c_2899]) ).
tcf(c_28274,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18903,c_2897]) ).
tcf(c_28276,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_28274,c_12804]) ).
tcf(c_28279,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_28273,c_13432]) ).
tcf(c_28289,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19643,c_18905]) ).
tcf(c_28290,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19641,c_18905]) ).
tcf(c_28291,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19640,c_18905]) ).
tcf(c_28345,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18905,c_646]) ).
tcf(c_28352,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_28289,c_7301]) ).
tcf(c_28387,plain,
inverse(iPr_def_29) = sk_c1,
inference(demodulation,[status(thm)],[c_27712,c_17582]) ).
tcf(c_28389,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_26130,c_28387]) ).
tcf(c_28390,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_26127,c_28387]) ).
tcf(c_28391,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_26125,c_28387]) ).
tcf(c_28392,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_25304,c_28387]) ).
tcf(c_28393,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_25301,c_28387]) ).
tcf(c_28394,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_25299,c_28387]) ).
tcf(c_28395,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_21301,c_28387]) ).
tcf(c_28396,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_21298,c_28387]) ).
tcf(c_28397,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_21047,c_28387]) ).
tcf(c_28398,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_21044,c_28387]) ).
tcf(c_28399,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_18772,c_28387]) ).
tcf(c_28400,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_18747,c_28387]) ).
tcf(c_28401,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_7132,c_28387]) ).
tcf(c_28402,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_7001,c_28387]) ).
tcf(c_28403,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6790,c_28387]) ).
tcf(c_28404,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6787,c_28387]) ).
tcf(c_28405,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6580,c_28387]) ).
tcf(c_28406,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6577,c_28387]) ).
tcf(c_28407,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6085,c_28387]) ).
tcf(c_28408,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5863,c_28387]) ).
tcf(c_28409,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5748,c_28387]) ).
tcf(c_28410,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5744,c_28387]) ).
tcf(c_28411,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5260,c_28387]) ).
tcf(c_28412,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5257,c_28387]) ).
tcf(c_28415,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c11 )
| ( multiply(inverse(iPr_def_29),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28387,c_643]) ).
tcf(c_28464,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != iPr_def_28 )
| ( sk_c11 != identity )
| ( inverse(inverse(X0)) != sk_c1 )
| ( multiply(X0,sk_c1) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_28415,c_640,c_1261,c_28387]) ).
tcf(c_28509,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_1261,c_27711]) ).
tcf(c_28510,plain,
multiply(sk_c1,sk_c10) = iPr_def_28,
inference(superposition,[status(thm)],[c_7320,c_27711]) ).
tcf(c_28513,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26130,c_27711]) ).
tcf(c_28514,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26127,c_27711]) ).
tcf(c_28515,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26125,c_27711]) ).
tcf(c_28516,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25304,c_27711]) ).
tcf(c_28517,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25301,c_27711]) ).
tcf(c_28518,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25299,c_27711]) ).
tcf(c_28519,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21301,c_27711]) ).
tcf(c_28520,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21298,c_27711]) ).
tcf(c_28521,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21047,c_27711]) ).
tcf(c_28522,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21044,c_27711]) ).
tcf(c_28523,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18772,c_27711]) ).
tcf(c_28524,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18747,c_27711]) ).
tcf(c_28525,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7132,c_27711]) ).
tcf(c_28526,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7001,c_27711]) ).
tcf(c_28527,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6790,c_27711]) ).
tcf(c_28528,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6787,c_27711]) ).
tcf(c_28529,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6580,c_27711]) ).
tcf(c_28530,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6577,c_27711]) ).
tcf(c_28531,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6085,c_27711]) ).
tcf(c_28532,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5863,c_27711]) ).
tcf(c_28533,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5748,c_27711]) ).
tcf(c_28534,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5744,c_27711]) ).
tcf(c_28535,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5260,c_27711]) ).
tcf(c_28536,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5257,c_27711]) ).
tcf(c_28537,plain,
! [X0: $i] : multiply(inverse(sk_c1),X0) = multiply(iPr_def_29,X0),
inference(superposition,[status(thm)],[c_27711,c_16658]) ).
tcf(c_28538,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_29,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_27711,c_105]) ).
tcf(c_28664,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_17)) != sk_c10 )
| ( multiply(sk_c2,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_16855,c_647]) ).
tcf(c_28665,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_17)) != sk_c10 )
| ( multiply(sk_c2,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16855,c_645]) ).
tcf(c_28666,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_17)) != sk_c11 )
| ( multiply(sk_c2,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16855,c_644]) ).
tcf(c_28667,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_17)),multiply(sk_c2,X0)) = X0,
inference(superposition,[status(thm)],[c_16855,c_16658]) ).
tcf(c_28668,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_17),multiply(X0,X1)) = multiply(multiply(sk_c2,X0),X1),
inference(superposition,[status(thm)],[c_16855,c_105]) ).
tcf(c_28669,plain,
multiply(sk_c2,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_16855,c_104]) ).
tcf(c_28670,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_17))) != inverse(X0) )
| ( multiply(sk_c2,inverse(X0)) != inverse(inverse(iPr_def_17)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16855,c_643]) ).
tcf(c_28671,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_17)) != sk_c11 )
| ( multiply(sk_c2,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_16855,c_646]) ).
tcf(c_28672,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_16855,c_16658]) ).
tcf(c_28673,plain,
multiply(sk_c2,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_16855,c_17582]) ).
tcf(c_28677,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_28666,c_639]) ).
tcf(c_28681,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(inverse(iPr_def_17)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_28665,c_639]) ).
tcf(c_28685,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(inverse(iPr_def_17)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_28664,c_639]) ).
tcf(c_28694,plain,
( ( identity = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_18901,c_28669]) ).
tcf(c_28695,plain,
( ( identity = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_18302,c_28669]) ).
tcf(c_28696,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_3306,c_28669]) ).
tcf(c_28697,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_3248,c_28669]) ).
tcf(c_28698,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_3195,c_28669]) ).
tcf(c_28699,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_3101,c_28669]) ).
tcf(c_28700,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_3024,c_28669]) ).
tcf(c_28701,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_2858,c_28669]) ).
tcf(c_28762,plain,
multiply(inverse(sk_c2),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_28669,c_16658]) ).
tcf(c_28763,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_28669,c_105]) ).
tcf(c_28764,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_28669,c_2914]) ).
tcf(c_28780,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28694,c_20721]) ).
tcf(c_28781,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28694,c_20720]) ).
tcf(c_28782,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28694,c_20073]) ).
tcf(c_28783,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28694,c_18690]) ).
tcf(c_28784,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28694,c_18689]) ).
tcf(c_28785,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28694,c_18688]) ).
tcf(c_28786,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28694,c_18104]) ).
tcf(c_28787,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28694,c_18103]) ).
tcf(c_28788,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28694,c_18102]) ).
tcf(c_28789,plain,
( ( identity = iPr_def_24 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28694,c_17605]) ).
tcf(c_28790,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28694,c_17582]) ).
tcf(c_28791,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28694,c_103]) ).
tcf(c_28919,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28695,c_20721]) ).
tcf(c_28920,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28695,c_20720]) ).
tcf(c_28921,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28695,c_20073]) ).
tcf(c_28922,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28695,c_18690]) ).
tcf(c_28923,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28695,c_18689]) ).
tcf(c_28924,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28695,c_18688]) ).
tcf(c_28925,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28695,c_18104]) ).
tcf(c_28926,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28695,c_18103]) ).
tcf(c_28927,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28695,c_18102]) ).
tcf(c_28928,plain,
( ( identity = iPr_def_26 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28695,c_17605]) ).
tcf(c_28929,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28695,c_17582]) ).
tcf(c_28930,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28695,c_103]) ).
tcf(c_28992,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28696,c_18690]) ).
tcf(c_28993,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28696,c_18689]) ).
tcf(c_28994,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28696,c_18688]) ).
tcf(c_28995,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28696,c_18104]) ).
tcf(c_28996,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28696,c_18103]) ).
tcf(c_28997,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28696,c_18102]) ).
tcf(c_28998,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28696,c_17605]) ).
tcf(c_28999,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28696,c_17582]) ).
tcf(c_29000,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28696,c_103]) ).
tcf(c_29043,plain,
inverse(iPr_def_17) = sk_c2,
inference(demodulation,[status(thm)],[c_28673,c_17582]) ).
tcf(c_29047,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29043,c_643]) ).
tcf(c_29048,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != identity )
| ( inverse(inverse(X0)) != sk_c2 )
| ( multiply(X0,sk_c2) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_29047,c_639,c_1262,c_29043]) ).
tcf(c_29055,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_1262,c_28672]) ).
tcf(c_29056,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18905,c_28672]) ).
tcf(c_29057,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18306,c_28672]) ).
tcf(c_29058,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3310,c_28672]) ).
tcf(c_29059,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3252,c_28672]) ).
tcf(c_29060,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3199,c_28672]) ).
tcf(c_29061,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3105,c_28672]) ).
tcf(c_29062,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3028,c_28672]) ).
tcf(c_29063,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2862,c_28672]) ).
tcf(c_29064,plain,
multiply(sk_c2,sk_c10) = iPr_def_27,
inference(superposition,[status(thm)],[c_7301,c_28672]) ).
tcf(c_29067,plain,
! [X0: $i] : multiply(inverse(sk_c2),X0) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_28672,c_16658]) ).
tcf(c_29068,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_28672,c_105]) ).
tcf(c_29070,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_29063,c_14259]) ).
tcf(c_29073,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_29062,c_14259]) ).
tcf(c_29076,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_29061,c_14259]) ).
tcf(c_29079,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_29060,c_14259]) ).
tcf(c_29082,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_29059,c_14259]) ).
tcf(c_29085,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_29058,c_14259]) ).
tcf(c_29088,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_29057,c_14259]) ).
tcf(c_29091,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_29056,c_14259]) ).
tcf(c_29144,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28697,c_20721]) ).
tcf(c_29145,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28697,c_20720]) ).
tcf(c_29146,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28697,c_20073]) ).
tcf(c_29147,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28697,c_18690]) ).
tcf(c_29148,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28697,c_18689]) ).
tcf(c_29149,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28697,c_18688]) ).
tcf(c_29150,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28697,c_18104]) ).
tcf(c_29151,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28697,c_18103]) ).
tcf(c_29152,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28697,c_18102]) ).
tcf(c_29153,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28697,c_17605]) ).
tcf(c_29154,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28697,c_17582]) ).
tcf(c_29155,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28697,c_103]) ).
tcf(c_29360,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28698,c_20721]) ).
tcf(c_29361,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28698,c_20720]) ).
tcf(c_29362,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28698,c_20073]) ).
tcf(c_29363,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28698,c_18690]) ).
tcf(c_29364,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28698,c_18689]) ).
tcf(c_29365,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28698,c_18688]) ).
tcf(c_29366,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28698,c_18104]) ).
tcf(c_29367,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28698,c_18103]) ).
tcf(c_29368,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28698,c_18102]) ).
tcf(c_29369,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28698,c_17605]) ).
tcf(c_29370,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28698,c_17582]) ).
tcf(c_29371,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28698,c_103]) ).
tcf(c_29441,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28699,c_20721]) ).
tcf(c_29442,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28699,c_20720]) ).
tcf(c_29443,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28699,c_20073]) ).
tcf(c_29444,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28699,c_18690]) ).
tcf(c_29445,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28699,c_18689]) ).
tcf(c_29446,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28699,c_18688]) ).
tcf(c_29447,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28699,c_18104]) ).
tcf(c_29448,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28699,c_18103]) ).
tcf(c_29449,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28699,c_18102]) ).
tcf(c_29450,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28699,c_17605]) ).
tcf(c_29451,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28699,c_17582]) ).
tcf(c_29452,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28699,c_103]) ).
tcf(c_29518,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28700,c_18690]) ).
tcf(c_29519,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28700,c_18689]) ).
tcf(c_29520,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28700,c_18688]) ).
tcf(c_29521,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28700,c_18104]) ).
tcf(c_29522,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28700,c_18103]) ).
tcf(c_29523,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28700,c_18102]) ).
tcf(c_29524,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28700,c_17605]) ).
tcf(c_29525,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28700,c_17582]) ).
tcf(c_29526,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28700,c_103]) ).
tcf(c_29575,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28701,c_18690]) ).
tcf(c_29576,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28701,c_18689]) ).
tcf(c_29577,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28701,c_18688]) ).
tcf(c_29578,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28701,c_18104]) ).
tcf(c_29579,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28701,c_18103]) ).
tcf(c_29580,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28701,c_18102]) ).
tcf(c_29581,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28701,c_17605]) ).
tcf(c_29582,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28701,c_17582]) ).
tcf(c_29583,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28701,c_103]) ).
tcf(c_29622,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18184,c_16658]) ).
tcf(c_29623,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_18184,c_104]) ).
tcf(c_29624,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18184,c_643]) ).
tcf(c_29641,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18199,c_16658]) ).
tcf(c_29642,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_18199,c_104]) ).
tcf(c_29643,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18199,c_643]) ).
tcf(c_29660,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18214,c_16658]) ).
tcf(c_29661,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_18214,c_104]) ).
tcf(c_29662,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18214,c_643]) ).
tcf(c_29691,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1259,c_7333]) ).
tcf(c_29697,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_7333,c_16658]) ).
tcf(c_29698,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_7333,c_105]) ).
tcf(c_29711,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23948,c_7334]) ).
tcf(c_29712,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23946,c_7334]) ).
tcf(c_29713,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23944,c_7334]) ).
tcf(c_29714,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23942,c_7334]) ).
tcf(c_29715,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23940,c_7334]) ).
tcf(c_29716,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7334,c_16658]) ).
tcf(c_29717,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_7334,c_105]) ).
tcf(c_29718,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7334,c_23873]) ).
tcf(c_29733,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1259,c_7335]) ).
tcf(c_29739,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_7335,c_16658]) ).
tcf(c_29740,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_7335,c_105]) ).
tcf(c_29753,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23948,c_7336]) ).
tcf(c_29754,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23946,c_7336]) ).
tcf(c_29755,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23944,c_7336]) ).
tcf(c_29756,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23942,c_7336]) ).
tcf(c_29758,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7336,c_16658]) ).
tcf(c_29759,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_7336,c_105]) ).
tcf(c_29760,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7336,c_23873]) ).
tcf(c_29772,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1259,c_7337]) ).
tcf(c_29778,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_7337,c_16658]) ).
tcf(c_29779,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_7337,c_105]) ).
tcf(c_29822,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19784,c_16658]) ).
tcf(c_29824,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19784,c_2920]) ).
tcf(c_29831,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_19788]) ).
tcf(c_29876,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19788,c_16658]) ).
tcf(c_29878,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_19788,c_2901]) ).
tcf(c_29879,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_19788,c_2900]) ).
tcf(c_29880,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_19788,c_2898]) ).
tcf(c_29881,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_19788,c_2896]) ).
tcf(c_29885,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_29881,c_12244]) ).
tcf(c_29888,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_29880,c_12854]) ).
tcf(c_29891,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_29879,c_13499]) ).
tcf(c_29894,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_29878,c_14259]) ).
tcf(c_29913,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_20125,c_16658]) ).
tcf(c_29915,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_20125,c_2920]) ).
tcf(c_29922,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19642,c_20129]) ).
tcf(c_29955,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_20129,c_16658]) ).
tcf(c_29957,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_20129,c_2901]) ).
tcf(c_29958,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_20129,c_2900]) ).
tcf(c_29959,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_20129,c_2898]) ).
tcf(c_29960,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_20129,c_2896]) ).
tcf(c_29964,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_29960,c_12244]) ).
tcf(c_29967,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_29959,c_12854]) ).
tcf(c_29970,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_29958,c_13499]) ).
tcf(c_29973,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_29957,c_14259]) ).
tcf(c_29980,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18748,c_16658]) ).
tcf(c_29981,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_18748,c_104]) ).
tcf(c_29982,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18748,c_643]) ).
tcf(c_29999,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18774,c_16658]) ).
tcf(c_30000,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_18774,c_104]) ).
tcf(c_30001,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18774,c_643]) ).
tcf(c_30018,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18811,c_16658]) ).
tcf(c_30019,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_18811,c_104]) ).
tcf(c_30020,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18811,c_643]) ).
tcf(c_30033,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c5 = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_20939,c_24629]) ).
tcf(c_30041,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_30033,c_19618]) ).
tcf(c_30042,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_30033,c_19615]) ).
tcf(c_30043,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_22,sk_c10) ) ),
inference(superposition,[status(thm)],[c_30033,c_12804]) ).
tcf(c_30044,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_30033,c_2897]) ).
tcf(c_30045,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30033,c_1797]) ).
tcf(c_30046,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30033,c_1388]) ).
tcf(c_30047,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30033,c_1214]) ).
tcf(c_30048,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30033,c_1212]) ).
tcf(c_30049,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(sk_c6,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_30033,c_2918]) ).
tcf(c_30050,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c6) = identity ) ),
inference(superposition,[status(thm)],[c_30033,c_1258]) ).
tcf(c_30051,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30033,c_634]) ).
tcf(c_30052,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(sk_c6) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_30033,c_633]) ).
tcf(c_30090,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23948,c_7338]) ).
tcf(c_30091,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23946,c_7338]) ).
tcf(c_30092,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23944,c_7338]) ).
tcf(c_30095,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7338,c_16658]) ).
tcf(c_30096,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_7338,c_105]) ).
tcf(c_30097,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7338,c_23873]) ).
tcf(c_30109,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1259,c_7339]) ).
tcf(c_30115,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_7339,c_16658]) ).
tcf(c_30116,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_7339,c_105]) ).
tcf(c_30129,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23948,c_7340]) ).
tcf(c_30130,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23946,c_7340]) ).
tcf(c_30134,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7340,c_16658]) ).
tcf(c_30135,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_7340,c_105]) ).
tcf(c_30136,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7340,c_23873]) ).
tcf(c_30151,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1259,c_7341]) ).
tcf(c_30157,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_7341,c_16658]) ).
tcf(c_30158,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_7341,c_105]) ).
tcf(c_30171,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23948,c_7342]) ).
tcf(c_30176,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7342,c_16658]) ).
tcf(c_30177,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_7342,c_105]) ).
tcf(c_30178,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7342,c_23873]) ).
tcf(c_30212,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13384,c_16658]) ).
tcf(c_30213,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_13384,c_105]) ).
tcf(c_30214,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13384,c_19618]) ).
tcf(c_30215,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_30214,c_13393]) ).
tcf(c_30228,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25664,c_13385]) ).
tcf(c_30229,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25578,c_13385]) ).
tcf(c_30230,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25067,c_13385]) ).
tcf(c_30252,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_2167,c_13385]) ).
tcf(c_30253,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_2162,c_13385]) ).
tcf(c_30254,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1993,c_13385]) ).
tcf(c_30255,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1987,c_13385]) ).
tcf(c_30257,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1883,c_13385]) ).
tcf(c_30258,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1877,c_13385]) ).
tcf(c_30260,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1644,c_13385]) ).
tcf(c_30261,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1538,c_13385]) ).
tcf(c_30263,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1446,c_13385]) ).
tcf(c_30282,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_656,c_13385]) ).
tcf(c_30283,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_653,c_13385]) ).
tcf(c_30284,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_651,c_13385]) ).
tcf(c_30285,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_13385,c_16658]) ).
tcf(c_30286,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_13385,c_105]) ).
tcf(c_30287,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_13385,c_646]) ).
tcf(c_30386,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13386,c_16658]) ).
tcf(c_30387,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_13386,c_105]) ).
tcf(c_30388,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13386,c_19618]) ).
tcf(c_30389,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_30388,c_13393]) ).
tcf(c_30535,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_23,sk_c11) ) ),
inference(superposition,[status(thm)],[c_17582,c_4721]) ).
tcf(c_30536,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_25664,c_4721]) ).
tcf(c_30537,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_25578,c_4721]) ).
tcf(c_30538,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_25067,c_4721]) ).
tcf(c_30593,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4721,c_16658]) ).
tcf(c_30594,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_4721,c_105]) ).
tcf(c_30595,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4721,c_18666]) ).
tcf(c_30598,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(sk_c11,X0) ) ),
inference(light_normalisation,[status(thm)],[c_30595,c_12263]) ).
tcf(c_30622,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20355,c_16658]) ).
tcf(c_30624,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20355,c_2915]) ).
tcf(c_30627,plain,
( ( identity = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_20356,c_28669]) ).
tcf(c_30646,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30627,c_18690]) ).
tcf(c_30647,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30627,c_18689]) ).
tcf(c_30648,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30627,c_18688]) ).
tcf(c_30649,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30627,c_18104]) ).
tcf(c_30650,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30627,c_18103]) ).
tcf(c_30651,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30627,c_18102]) ).
tcf(c_30652,plain,
( ( identity = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30627,c_17605]) ).
tcf(c_30653,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_30627,c_17582]) ).
tcf(c_30654,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_30627,c_103]) ).
tcf(c_30764,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20357,c_16658]) ).
tcf(c_30766,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20357,c_2919]) ).
tcf(c_30789,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20358,c_16658]) ).
tcf(c_30791,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_20358,c_2899]) ).
tcf(c_30792,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_20358,c_2897]) ).
tcf(c_30794,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_30792,c_12804]) ).
tcf(c_30797,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_30791,c_13432]) ).
tcf(c_30804,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21049,c_16658]) ).
tcf(c_30805,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_21049,c_104]) ).
tcf(c_30806,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21049,c_643]) ).
tcf(c_30823,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21271,c_16658]) ).
tcf(c_30824,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_21271,c_104]) ).
tcf(c_30825,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21271,c_643]) ).
tcf(c_30842,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21302,c_16658]) ).
tcf(c_30843,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_21302,c_104]) ).
tcf(c_30844,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21302,c_643]) ).
tcf(c_30868,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_22383,c_643]) ).
tcf(c_30887,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25664,c_13387]) ).
tcf(c_30888,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25578,c_13387]) ).
tcf(c_30889,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25067,c_13387]) ).
tcf(c_30911,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_2167,c_13387]) ).
tcf(c_30912,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_2162,c_13387]) ).
tcf(c_30913,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1993,c_13387]) ).
tcf(c_30914,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1987,c_13387]) ).
tcf(c_30916,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1883,c_13387]) ).
tcf(c_30917,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1877,c_13387]) ).
tcf(c_30919,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1644,c_13387]) ).
tcf(c_30920,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1538,c_13387]) ).
tcf(c_30922,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1446,c_13387]) ).
tcf(c_30941,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_656,c_13387]) ).
tcf(c_30942,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_653,c_13387]) ).
tcf(c_30943,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_651,c_13387]) ).
tcf(c_30944,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_13387,c_16658]) ).
tcf(c_30945,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_13387,c_105]) ).
tcf(c_30946,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_13387,c_646]) ).
tcf(c_31008,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13388,c_16658]) ).
tcf(c_31009,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_13388,c_105]) ).
tcf(c_31010,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13388,c_19618]) ).
tcf(c_31011,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_31010,c_13393]) ).
tcf(c_31024,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25664,c_13389]) ).
tcf(c_31025,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25578,c_13389]) ).
tcf(c_31026,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25067,c_13389]) ).
tcf(c_31048,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_2167,c_13389]) ).
tcf(c_31049,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_2162,c_13389]) ).
tcf(c_31050,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1993,c_13389]) ).
tcf(c_31051,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1987,c_13389]) ).
tcf(c_31053,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1883,c_13389]) ).
tcf(c_31054,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1877,c_13389]) ).
tcf(c_31056,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1644,c_13389]) ).
tcf(c_31057,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1538,c_13389]) ).
tcf(c_31059,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1446,c_13389]) ).
tcf(c_31078,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_656,c_13389]) ).
tcf(c_31079,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_653,c_13389]) ).
tcf(c_31080,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_651,c_13389]) ).
tcf(c_31081,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_13389,c_16658]) ).
tcf(c_31082,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_13389,c_105]) ).
tcf(c_31083,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_11
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_13389,c_646]) ).
tcf(c_31145,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13390,c_16658]) ).
tcf(c_31146,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_13390,c_105]) ).
tcf(c_31147,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13390,c_19618]) ).
tcf(c_31148,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_31147,c_13393]) ).
tcf(c_31161,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25664,c_13391]) ).
tcf(c_31162,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25578,c_13391]) ).
tcf(c_31163,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25067,c_13391]) ).
tcf(c_31215,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_656,c_13391]) ).
tcf(c_31216,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_653,c_13391]) ).
tcf(c_31217,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_651,c_13391]) ).
tcf(c_31218,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_13391,c_16658]) ).
tcf(c_31219,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_13391,c_105]) ).
tcf(c_31220,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_13391,c_646]) ).
tcf(c_31278,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_22) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_7267]) ).
tcf(c_31279,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_7267,c_16658]) ).
tcf(c_31280,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7267,c_105]) ).
tcf(c_31281,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_7267,c_2901]) ).
tcf(c_31282,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_7267,c_2900]) ).
tcf(c_31283,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_7267,c_2898]) ).
tcf(c_31284,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_7267,c_2896]) ).
tcf(c_31287,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_22,X0) ) ),
inference(light_normalisation,[status(thm)],[c_31279,c_16840]) ).
tcf(c_31290,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,multiply(iPr_def_22,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_31284,c_12263]) ).
tcf(c_31293,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,multiply(iPr_def_22,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_31283,c_12873]) ).
tcf(c_31296,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,multiply(iPr_def_22,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_31282,c_13518]) ).
tcf(c_31299,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,multiply(iPr_def_22,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_31281,c_14278]) ).
tcf(c_31317,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19643,c_20360]) ).
tcf(c_31373,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_20360,c_646]) ).
tcf(c_31374,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20360,c_28672]) ).
tcf(c_31375,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_31374,c_14259]) ).
tcf(c_31378,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_31317,c_7301]) ).
tcf(c_31381,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != sk_c2 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_31373,c_29043]) ).
tcf(c_31390,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_20775,c_16658]) ).
tcf(c_31392,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_20775,c_2920]) ).
tcf(c_31420,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_20777,c_16658]) ).
tcf(c_31422,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_20777,c_2901]) ).
tcf(c_31423,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_20777,c_2900]) ).
tcf(c_31424,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_20777,c_2898]) ).
tcf(c_31425,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_20777,c_2896]) ).
tcf(c_31427,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_31425,c_12244]) ).
tcf(c_31430,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_31424,c_12854]) ).
tcf(c_31433,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_31423,c_13499]) ).
tcf(c_31436,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_31422,c_14259]) ).
tcf(c_31444,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21051,c_647]) ).
tcf(c_31445,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21051,c_645]) ).
tcf(c_31446,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21051,c_644]) ).
tcf(c_31447,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_21051,c_16658]) ).
tcf(c_31448,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_21051,c_105]) ).
tcf(c_31449,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21051,c_643]) ).
tcf(c_31450,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21051,c_646]) ).
tcf(c_31451,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_21051,c_7267]) ).
tcf(c_31452,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_21051,c_7554]) ).
tcf(c_31592,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_20777]) ).
tcf(c_31594,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_20129]) ).
tcf(c_31595,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_19788]) ).
tcf(c_31598,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_19642]) ).
tcf(c_31600,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_18691]) ).
tcf(c_31601,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_18105]) ).
tcf(c_31604,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31378,c_16676]) ).
tcf(c_31618,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_31378,c_2901]) ).
tcf(c_31619,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_31378,c_2900]) ).
tcf(c_31620,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_31378,c_2898]) ).
tcf(c_31621,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_31378,c_2896]) ).
tcf(c_31622,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_31378,c_2894]) ).
tcf(c_31623,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_2241]) ).
tcf(c_31624,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_2173]) ).
tcf(c_31625,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_2077]) ).
tcf(c_31626,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1996]) ).
tcf(c_31628,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1885]) ).
tcf(c_31631,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1720]) ).
tcf(c_31633,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1650]) ).
tcf(c_31634,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1586]) ).
tcf(c_31635,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1541]) ).
tcf(c_31637,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1448]) ).
tcf(c_31639,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1343]) ).
tcf(c_31640,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1305]) ).
tcf(c_31641,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1272]) ).
tcf(c_31646,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1167]) ).
tcf(c_31647,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_1135]) ).
tcf(c_31651,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_2234]) ).
tcf(c_31652,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_2229]) ).
tcf(c_31653,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_2072]) ).
tcf(c_31654,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_2067]) ).
tcf(c_31655,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_1713]) ).
tcf(c_31656,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_1581]) ).
tcf(c_31657,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_31378,c_647]) ).
tcf(c_31658,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31378,c_645]) ).
tcf(c_31665,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31378,c_644]) ).
tcf(c_31666,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_640]) ).
tcf(c_31667,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_639]) ).
tcf(c_31668,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31378,c_636]) ).
tcf(c_31669,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_31378,c_632]) ).
tcf(c_31671,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31378,c_627]) ).
tcf(c_31677,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_31669,c_12854]) ).
tcf(c_31680,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_31668,c_12244]) ).
tcf(c_31683,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_31667,c_14259]) ).
tcf(c_31686,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_31666,c_13499]) ).
tcf(c_31768,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_31621,c_12263]) ).
tcf(c_31771,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_31620,c_12873]) ).
tcf(c_31774,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_31619,c_13518]) ).
tcf(c_31777,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_31618,c_14278]) ).
tcf(c_31884,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_31598,c_28699]) ).
tcf(c_31885,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_31598,c_28698]) ).
tcf(c_31886,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_31598,c_28697]) ).
tcf(c_31887,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_31598,c_28696]) ).
tcf(c_31888,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_31598,c_28695]) ).
tcf(c_31889,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31598,c_28694]) ).
tcf(c_31896,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31598,c_17605]) ).
tcf(c_31897,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_31598,c_17582]) ).
tcf(c_31898,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31598,c_103]) ).
tcf(c_31943,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28389,c_643]) ).
tcf(c_31969,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28390,c_643]) ).
tcf(c_31993,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(sk_c2,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7302,c_28668,c_29043]) ).
tcf(c_31999,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21273,c_647]) ).
tcf(c_32000,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21273,c_645]) ).
tcf(c_32001,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21273,c_644]) ).
tcf(c_32002,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_21273,c_16658]) ).
tcf(c_32003,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_21273,c_105]) ).
tcf(c_32004,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21273,c_643]) ).
tcf(c_32005,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21273,c_646]) ).
tcf(c_32006,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_21273,c_7267]) ).
tcf(c_32007,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_21273,c_7554]) ).
tcf(c_32050,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21304,c_647]) ).
tcf(c_32051,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21304,c_645]) ).
tcf(c_32052,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21304,c_644]) ).
tcf(c_32053,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_21304,c_16658]) ).
tcf(c_32054,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_21304,c_105]) ).
tcf(c_32055,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21304,c_643]) ).
tcf(c_32056,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21304,c_646]) ).
tcf(c_32057,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_21304,c_7267]) ).
tcf(c_32058,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_21304,c_7554]) ).
tcf(c_32178,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23284,c_16658]) ).
tcf(c_32180,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23284,c_23873]) ).
tcf(c_32204,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23364,c_16658]) ).
tcf(c_32206,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23364,c_23873]) ).
tcf(c_32253,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28391,c_643]) ).
tcf(c_32267,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28392,c_643]) ).
tcf(c_32281,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28393,c_643]) ).
tcf(c_32295,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28394,c_643]) ).
tcf(c_32319,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_29,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7321,c_27707,c_28387]) ).
tcf(c_32340,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23433,c_16658]) ).
tcf(c_32342,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23433,c_23873]) ).
tcf(c_32366,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23779,c_16658]) ).
tcf(c_32368,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23779,c_23873]) ).
tcf(c_32392,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23839,c_16658]) ).
tcf(c_32394,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23839,c_23873]) ).
tcf(c_32402,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25329,c_16658]) ).
tcf(c_32404,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25329,c_2920]) ).
tcf(c_32413,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28395,c_643]) ).
tcf(c_32427,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28396,c_643]) ).
tcf(c_32453,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28397,c_643]) ).
tcf(c_32479,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28398,c_643]) ).
tcf(c_32503,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(sk_c6,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7343,c_23869,c_24629]) ).
tcf(c_32530,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25333,c_16658]) ).
tcf(c_32532,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25333,c_2901]) ).
tcf(c_32533,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25333,c_2900]) ).
tcf(c_32534,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25333,c_2898]) ).
tcf(c_32535,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25333,c_2896]) ).
tcf(c_32537,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32535,c_12244]) ).
tcf(c_32540,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32534,c_12854]) ).
tcf(c_32543,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32533,c_13499]) ).
tcf(c_32546,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32532,c_14259]) ).
tcf(c_32553,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26154,c_16658]) ).
tcf(c_32555,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26154,c_2920]) ).
tcf(c_32584,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26158,c_16658]) ).
tcf(c_32586,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26158,c_2901]) ).
tcf(c_32587,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26158,c_2900]) ).
tcf(c_32588,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26158,c_2898]) ).
tcf(c_32589,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26158,c_2896]) ).
tcf(c_32591,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32589,c_12244]) ).
tcf(c_32594,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32588,c_12854]) ).
tcf(c_32597,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32587,c_13499]) ).
tcf(c_32600,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32586,c_14259]) ).
tcf(c_32607,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26855,c_16658]) ).
tcf(c_32609,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26855,c_2920]) ).
tcf(c_32630,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28399,c_643]) ).
tcf(c_32644,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28400,c_643]) ).
tcf(c_32658,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28401,c_643]) ).
tcf(c_32684,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28402,c_643]) ).
tcf(c_32708,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(sk_c7,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7386,c_22224,c_22366]) ).
tcf(c_32735,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26859,c_16658]) ).
tcf(c_32737,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26859,c_2901]) ).
tcf(c_32738,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26859,c_2900]) ).
tcf(c_32739,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26859,c_2898]) ).
tcf(c_32740,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26859,c_2896]) ).
tcf(c_32742,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32740,c_12244]) ).
tcf(c_32745,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32739,c_12854]) ).
tcf(c_32748,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32738,c_13499]) ).
tcf(c_32751,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_32737,c_14259]) ).
tcf(c_32761,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_28791,c_647]) ).
tcf(c_32762,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_28791,c_645]) ).
tcf(c_32763,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28791,c_644]) ).
tcf(c_32764,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28791,c_16658]) ).
tcf(c_32765,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_28791,c_105]) ).
tcf(c_32766,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28791,c_643]) ).
tcf(c_32767,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28791,c_646]) ).
tcf(c_32768,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_28791,c_7304]) ).
tcf(c_32769,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28791,c_14688]) ).
tcf(c_32770,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28791,c_21947]) ).
tcf(c_32842,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_28930,c_647]) ).
tcf(c_32843,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_28930,c_645]) ).
tcf(c_32844,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28930,c_644]) ).
tcf(c_32845,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28930,c_16658]) ).
tcf(c_32846,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_28930,c_105]) ).
tcf(c_32847,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28930,c_643]) ).
tcf(c_32848,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28930,c_646]) ).
tcf(c_32849,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_28930,c_7304]) ).
tcf(c_32850,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28930,c_14688]) ).
tcf(c_32851,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28930,c_21947]) ).
tcf(c_33045,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29000,c_647]) ).
tcf(c_33046,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29000,c_645]) ).
tcf(c_33047,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29000,c_644]) ).
tcf(c_33048,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29000,c_16658]) ).
tcf(c_33049,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_29000,c_105]) ).
tcf(c_33050,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29000,c_643]) ).
tcf(c_33051,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29000,c_646]) ).
tcf(c_33052,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_29000,c_7304]) ).
tcf(c_33094,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28403,c_643]) ).
tcf(c_33108,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28404,c_643]) ).
tcf(c_33134,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28405,c_643]) ).
tcf(c_33160,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28406,c_643]) ).
tcf(c_33184,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(sk_c5,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7391,c_19614,c_20937]) ).
tcf(c_33192,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29155,c_647]) ).
tcf(c_33193,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29155,c_645]) ).
tcf(c_33194,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29155,c_644]) ).
tcf(c_33195,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29155,c_16658]) ).
tcf(c_33196,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_29155,c_105]) ).
tcf(c_33197,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29155,c_643]) ).
tcf(c_33198,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29155,c_646]) ).
tcf(c_33199,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_29155,c_7304]) ).
tcf(c_33267,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29371,c_647]) ).
tcf(c_33268,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29371,c_645]) ).
tcf(c_33269,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29371,c_644]) ).
tcf(c_33270,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29371,c_16658]) ).
tcf(c_33271,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_29371,c_105]) ).
tcf(c_33272,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29371,c_643]) ).
tcf(c_33273,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29371,c_646]) ).
tcf(c_33274,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_29371,c_7304]) ).
tcf(c_33330,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29452,c_647]) ).
tcf(c_33331,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29452,c_645]) ).
tcf(c_33332,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29452,c_644]) ).
tcf(c_33333,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29452,c_16658]) ).
tcf(c_33334,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_29452,c_105]) ).
tcf(c_33335,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29452,c_643]) ).
tcf(c_33336,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29452,c_646]) ).
tcf(c_33337,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_29452,c_7304]) ).
tcf(c_33391,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29526,c_647]) ).
tcf(c_33392,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29526,c_645]) ).
tcf(c_33393,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29526,c_644]) ).
tcf(c_33394,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29526,c_16658]) ).
tcf(c_33395,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_29526,c_105]) ).
tcf(c_33396,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29526,c_643]) ).
tcf(c_33397,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29526,c_646]) ).
tcf(c_33398,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_29526,c_7304]) ).
tcf(c_33458,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28407,c_643]) ).
tcf(c_33494,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28408,c_643]) ).
tcf(c_33508,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28409,c_643]) ).
tcf(c_33565,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28410,c_643]) ).
tcf(c_33615,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_18,iPr_def_15)) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_13391,c_7548]) ).
tcf(c_33621,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_20) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_7548]) ).
tcf(c_33622,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_7548,c_16658]) ).
tcf(c_33623,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(multiply(iPr_def_20,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7548,c_105]) ).
tcf(c_33624,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_7548,c_2901]) ).
tcf(c_33625,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_7548,c_2900]) ).
tcf(c_33626,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_7548,c_2898]) ).
tcf(c_33627,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_7548,c_2896]) ).
tcf(c_33632,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_33622,c_16840]) ).
tcf(c_33635,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,multiply(iPr_def_20,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_33627,c_12263]) ).
tcf(c_33638,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,multiply(iPr_def_20,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_33626,c_12873]) ).
tcf(c_33641,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,multiply(iPr_def_20,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_33625,c_13518]) ).
tcf(c_33644,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,multiply(iPr_def_20,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_33624,c_14278]) ).
tcf(c_33662,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29583,c_647]) ).
tcf(c_33663,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29583,c_645]) ).
tcf(c_33664,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29583,c_644]) ).
tcf(c_33665,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29583,c_16658]) ).
tcf(c_33666,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_29583,c_105]) ).
tcf(c_33667,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29583,c_643]) ).
tcf(c_33668,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29583,c_646]) ).
tcf(c_33669,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_29583,c_7304]) ).
tcf(c_33712,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_29623,c_16658]) ).
tcf(c_33713,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_29623,c_105]) ).
tcf(c_33717,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c11,iPr_def_26) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_29623,c_7633]) ).
tcf(c_33730,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_29642,c_16658]) ).
tcf(c_33731,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_29642,c_105]) ).
tcf(c_33735,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c11,iPr_def_26) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_29642,c_7633]) ).
tcf(c_33748,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_29661,c_16658]) ).
tcf(c_33749,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_29661,c_105]) ).
tcf(c_33753,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_26) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_29661,c_7633]) ).
tcf(c_33765,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28411,c_643]) ).
tcf(c_33791,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28412,c_643]) ).
tcf(c_33815,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_28789,c_16658]) ).
tcf(c_33816,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_28789,c_104]) ).
tcf(c_33817,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28789,c_643]) ).
tcf(c_33818,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28411]) ).
tcf(c_33819,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28409]) ).
tcf(c_33820,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28407]) ).
tcf(c_33821,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28404]) ).
tcf(c_33822,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28403]) ).
tcf(c_33823,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28401]) ).
tcf(c_33824,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28400]) ).
tcf(c_33825,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28396]) ).
tcf(c_33826,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28395]) ).
tcf(c_33827,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28394]) ).
tcf(c_33828,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28393]) ).
tcf(c_33829,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28789,c_28392]) ).
tcf(c_33925,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_28928,c_16658]) ).
tcf(c_33926,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_28928,c_104]) ).
tcf(c_33927,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28928,c_643]) ).
tcf(c_33928,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28411]) ).
tcf(c_33929,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28409]) ).
tcf(c_33930,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28407]) ).
tcf(c_33931,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28404]) ).
tcf(c_33932,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28403]) ).
tcf(c_33933,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28401]) ).
tcf(c_33934,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28400]) ).
tcf(c_33935,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28396]) ).
tcf(c_33936,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28395]) ).
tcf(c_33937,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28394]) ).
tcf(c_33938,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28393]) ).
tcf(c_33939,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28928,c_28392]) ).
tcf(c_34154,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(sk_c4,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7557,c_18662,c_19276]) ).
tcf(c_34162,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29981,c_16658]) ).
tcf(c_34163,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_29981,c_105]) ).
tcf(c_34167,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_29981,c_7628]) ).
tcf(c_34180,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30000,c_16658]) ).
tcf(c_34181,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_30000,c_105]) ).
tcf(c_34185,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_30000,c_7628]) ).
tcf(c_34198,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30019,c_16658]) ).
tcf(c_34199,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_30019,c_105]) ).
tcf(c_34203,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_30019,c_7628]) ).
tcf(c_34218,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_690,c_30051]) ).
tcf(c_34219,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_688,c_30051]) ).
tcf(c_34220,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_680,c_30051]) ).
tcf(c_34221,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_678,c_30051]) ).
tcf(c_34222,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_670,c_30051]) ).
tcf(c_34223,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_668,c_30051]) ).
tcf(c_34224,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_660,c_30051]) ).
tcf(c_34225,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_658,c_30051]) ).
tcf(c_34226,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_650,c_30051]) ).
tcf(c_34227,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_648,c_30051]) ).
tcf(c_34236,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_30051]) ).
tcf(c_34238,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_30051]) ).
tcf(c_34240,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_30051]) ).
tcf(c_34242,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_30051]) ).
tcf(c_34244,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c6),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_30051,c_16658]) ).
tcf(c_34306,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_28998,c_16658]) ).
tcf(c_34307,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_28998,c_104]) ).
tcf(c_34308,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28998,c_643]) ).
tcf(c_34309,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28411]) ).
tcf(c_34310,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28409]) ).
tcf(c_34311,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28407]) ).
tcf(c_34312,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28404]) ).
tcf(c_34313,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28403]) ).
tcf(c_34314,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28401]) ).
tcf(c_34316,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28396]) ).
tcf(c_34317,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28395]) ).
tcf(c_34318,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28394]) ).
tcf(c_34319,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28393]) ).
tcf(c_34320,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28998,c_28392]) ).
tcf(c_34369,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34314,c_20355]) ).
tcf(c_34371,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34314,c_27711]) ).
tcf(c_34372,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_34314,c_27708]) ).
tcf(c_34373,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34314,c_18900]) ).
tcf(c_34374,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34314,c_18301]) ).
tcf(c_34381,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34314,c_3305]) ).
tcf(c_34382,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34314,c_3247]) ).
tcf(c_34383,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34314,c_3194]) ).
tcf(c_34384,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34314,c_3100]) ).
tcf(c_34385,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34314,c_3023]) ).
tcf(c_34386,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_34314,c_13499]) ).
tcf(c_34387,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_34314,c_2900]) ).
tcf(c_34388,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34314,c_2857]) ).
tcf(c_34391,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34314,c_2915]) ).
tcf(c_34392,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_34314,c_1261]) ).
tcf(c_34393,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34314,c_640]) ).
tcf(c_34394,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34314,c_641]) ).
tcf(c_34456,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29153,c_16658]) ).
tcf(c_34457,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_29153,c_104]) ).
tcf(c_34458,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29153,c_643]) ).
tcf(c_34459,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29153,c_28411]) ).
tcf(c_34460,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29153,c_28409]) ).
tcf(c_34461,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29153,c_28407]) ).
tcf(c_34463,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29153,c_28403]) ).
tcf(c_34468,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29153,c_28394]) ).
tcf(c_34469,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29153,c_28393]) ).
tcf(c_34470,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29153,c_28392]) ).
tcf(c_34507,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34463,c_20355]) ).
tcf(c_34509,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34463,c_27711]) ).
tcf(c_34510,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_34463,c_27708]) ).
tcf(c_34511,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34463,c_18900]) ).
tcf(c_34512,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34463,c_18301]) ).
tcf(c_34520,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34463,c_3247]) ).
tcf(c_34522,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34463,c_3100]) ).
tcf(c_34523,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34463,c_3023]) ).
tcf(c_34524,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_34463,c_13499]) ).
tcf(c_34525,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_34463,c_2900]) ).
tcf(c_34526,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34463,c_2857]) ).
tcf(c_34529,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34463,c_2915]) ).
tcf(c_34530,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_34463,c_1261]) ).
tcf(c_34531,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34463,c_640]) ).
tcf(c_34532,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34463,c_641]) ).
tcf(c_34586,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_31215,c_16658]) ).
tcf(c_34587,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(iPr_def_25,X0)) ) ),
inference(superposition,[status(thm)],[c_31215,c_105]) ).
tcf(c_34588,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_18,iPr_def_15)) = multiply(iPr_def_15,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_31215,c_7548]) ).
tcf(c_34600,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31216,c_16658]) ).
tcf(c_34601,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_31216,c_105]) ).
tcf(c_34602,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_18,iPr_def_15)) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_31216,c_7548]) ).
tcf(c_34614,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_31217,c_16658]) ).
tcf(c_34615,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_31217,c_105]) ).
tcf(c_34616,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_18,iPr_def_15)) = multiply(iPr_def_15,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_31217,c_7548]) ).
tcf(c_34624,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_25,multiply(sk_c3,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7631,c_18078,c_18150]) ).
tcf(c_34647,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34394,c_643]) ).
tcf(c_34652,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28411]) ).
tcf(c_34653,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28409]) ).
tcf(c_34654,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28407]) ).
tcf(c_34655,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28404]) ).
tcf(c_34656,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28403]) ).
tcf(c_34657,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28401]) ).
tcf(c_34659,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28396]) ).
tcf(c_34660,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28395]) ).
tcf(c_34661,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28394]) ).
tcf(c_34662,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28393]) ).
tcf(c_34663,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34394,c_28392]) ).
tcf(c_34866,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34532,c_643]) ).
tcf(c_34871,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34532,c_28411]) ).
tcf(c_34872,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34532,c_28409]) ).
tcf(c_34873,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34532,c_28407]) ).
tcf(c_34875,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34532,c_28403]) ).
tcf(c_34880,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34532,c_28394]) ).
tcf(c_34881,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34532,c_28393]) ).
tcf(c_34882,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34532,c_28392]) ).
tcf(c_34917,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_30654,c_647]) ).
tcf(c_34918,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_30654,c_645]) ).
tcf(c_34919,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_30654,c_644]) ).
tcf(c_34920,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_30654,c_16658]) ).
tcf(c_34921,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_30654,c_105]) ).
tcf(c_34922,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_30654,c_643]) ).
tcf(c_34923,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_30654,c_646]) ).
tcf(c_34924,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_30654,c_7304]) ).
tcf(c_34967,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30805,c_16658]) ).
tcf(c_34968,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_30805,c_105]) ).
tcf(c_34972,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_30805,c_7267]) ).
tcf(c_34973,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_30805,c_7554]) ).
tcf(c_34990,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34657,c_20355]) ).
tcf(c_34994,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34657,c_18900]) ).
tcf(c_34995,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34657,c_18301]) ).
tcf(c_35002,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34657,c_3305]) ).
tcf(c_35003,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34657,c_3247]) ).
tcf(c_35004,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34657,c_3194]) ).
tcf(c_35005,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34657,c_3100]) ).
tcf(c_35006,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34657,c_3023]) ).
tcf(c_35007,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_34657,c_13499]) ).
tcf(c_35008,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_34657,c_2900]) ).
tcf(c_35009,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34657,c_2857]) ).
tcf(c_35012,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34657,c_2915]) ).
tcf(c_35013,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_34657,c_1261]) ).
tcf(c_35014,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34657,c_640]) ).
tcf(c_35015,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34657,c_641]) ).
tcf(c_35063,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34875,c_20355]) ).
tcf(c_35067,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34875,c_18900]) ).
tcf(c_35068,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34875,c_18301]) ).
tcf(c_35076,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34875,c_3247]) ).
tcf(c_35078,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34875,c_3100]) ).
tcf(c_35079,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34875,c_3023]) ).
tcf(c_35080,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_34875,c_13499]) ).
tcf(c_35081,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_34875,c_2900]) ).
tcf(c_35082,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34875,c_2857]) ).
tcf(c_35085,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34875,c_2915]) ).
tcf(c_35086,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_34875,c_1261]) ).
tcf(c_35087,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34875,c_640]) ).
tcf(c_35088,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_34875,c_641]) ).
tcf(c_35140,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29369,c_16658]) ).
tcf(c_35141,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_29369,c_104]) ).
tcf(c_35142,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29369,c_643]) ).
tcf(c_35145,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29369,c_28411]) ).
tcf(c_35146,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29369,c_28409]) ).
tcf(c_35147,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29369,c_28407]) ).
tcf(c_35148,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29369,c_28404]) ).
tcf(c_35152,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29369,c_28396]) ).
tcf(c_35154,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29369,c_28394]) ).
tcf(c_35155,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29369,c_28393]) ).
tcf(c_35156,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29369,c_28392]) ).
tcf(c_35262,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35148,c_20355]) ).
tcf(c_35264,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_35148,c_27711]) ).
tcf(c_35265,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_35148,c_27708]) ).
tcf(c_35266,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35148,c_18900]) ).
tcf(c_35267,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35148,c_18301]) ).
tcf(c_35276,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35148,c_3194]) ).
tcf(c_35277,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35148,c_3100]) ).
tcf(c_35278,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35148,c_3023]) ).
tcf(c_35279,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_35148,c_13499]) ).
tcf(c_35280,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_35148,c_2900]) ).
tcf(c_35281,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35148,c_2857]) ).
tcf(c_35284,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_35148,c_2915]) ).
tcf(c_35285,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_35148,c_1261]) ).
tcf(c_35286,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35148,c_640]) ).
tcf(c_35287,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_35148,c_641]) ).
tcf(c_35327,plain,
( ~ iPr_def_13
| ( inverse(sk_c8) != sk_c11 ) ),
inference(global_subsumption_just,[status(thm)],[c_2788,c_2802,c_2788,c_9246,c_10246]) ).
tcf(c_35341,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_682,c_35327]) ).
tcf(c_35342,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_679,c_35327]) ).
tcf(c_35343,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_672,c_35327]) ).
tcf(c_35344,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_669,c_35327]) ).
tcf(c_35345,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_662,c_35327]) ).
tcf(c_35346,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_659,c_35327]) ).
tcf(c_35347,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_652,c_35327]) ).
tcf(c_35348,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_649,c_35327]) ).
tcf(c_35349,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_35348,c_24629]) ).
tcf(c_35353,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_35347,c_20937]) ).
tcf(c_35357,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_35346,c_24629]) ).
tcf(c_35361,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_35345,c_20937]) ).
tcf(c_35365,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_35344,c_24629]) ).
tcf(c_35369,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_35343,c_20937]) ).
tcf(c_35373,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_35342,c_24629]) ).
tcf(c_35377,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_35341,c_20937]) ).
tcf(c_35440,plain,
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_2791,c_17605]) ).
tcf(c_35450,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25664,c_35440]) ).
tcf(c_35451,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25578,c_35440]) ).
tcf(c_35452,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25067,c_35440]) ).
tcf(c_35453,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19643,c_35440]) ).
tcf(c_35454,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19641,c_35440]) ).
tcf(c_35455,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19640,c_35440]) ).
tcf(c_35474,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2167,c_35440]) ).
tcf(c_35475,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2162,c_35440]) ).
tcf(c_35476,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1993,c_35440]) ).
tcf(c_35477,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1987,c_35440]) ).
tcf(c_35478,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1947,c_35440]) ).
tcf(c_35479,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1883,c_35440]) ).
tcf(c_35480,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1877,c_35440]) ).
tcf(c_35481,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1844,c_35440]) ).
tcf(c_35482,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1644,c_35440]) ).
tcf(c_35483,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1538,c_35440]) ).
tcf(c_35484,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1495,c_35440]) ).
tcf(c_35485,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1446,c_35440]) ).
tcf(c_35486,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1420,c_35440]) ).
tcf(c_35487,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1155,c_35440]) ).
tcf(c_35488,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1120,c_35440]) ).
tcf(c_35489,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_687,c_35440]) ).
tcf(c_35490,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_686,c_35440]) ).
tcf(c_35491,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_684,c_35440]) ).
tcf(c_35492,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_683,c_35440]) ).
tcf(c_35493,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_681,c_35440]) ).
tcf(c_35494,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_677,c_35440]) ).
tcf(c_35495,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_676,c_35440]) ).
tcf(c_35496,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_674,c_35440]) ).
tcf(c_35497,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_673,c_35440]) ).
tcf(c_35498,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_35440]) ).
tcf(c_35499,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_35440]) ).
tcf(c_35500,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_35440]) ).
tcf(c_35501,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_35440]) ).
tcf(c_35502,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_663,c_35440]) ).
tcf(c_35503,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_661,c_35440]) ).
tcf(c_35504,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_656,c_35440]) ).
tcf(c_35505,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_653,c_35440]) ).
tcf(c_35506,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_651,c_35440]) ).
tcf(c_35714,plain,
! [X0: $i,X1: $i] :
( ( sk_c1 = X0 )
| ( sk_c1 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_35741,plain,
( ~ iPr_def_12
| ( inverse(sk_c8) != sk_c10 ) ),
inference(global_subsumption_just,[status(thm)],[c_3558,c_3575,c_3558,c_8795,c_8833]) ).
tcf(c_35755,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_682,c_35741]) ).
tcf(c_35756,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_679,c_35741]) ).
tcf(c_35757,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_672,c_35741]) ).
tcf(c_35758,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_669,c_35741]) ).
tcf(c_35759,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_662,c_35741]) ).
tcf(c_35760,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_659,c_35741]) ).
tcf(c_35761,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_652,c_35741]) ).
tcf(c_35762,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_649,c_35741]) ).
tcf(c_35763,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_35762,c_24629]) ).
tcf(c_35767,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_35761,c_20937]) ).
tcf(c_35771,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_35760,c_24629]) ).
tcf(c_35775,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_35759,c_20937]) ).
tcf(c_35779,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_35758,c_24629]) ).
tcf(c_35783,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_35757,c_20937]) ).
tcf(c_35787,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_35756,c_24629]) ).
tcf(c_35791,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_35755,c_20937]) ).
tcf(c_35960,plain,
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_3561,c_17605]) ).
tcf(c_35970,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31378,c_35960]) ).
tcf(c_35971,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_19642,c_35960]) ).
tcf(c_35972,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18691,c_35960]) ).
tcf(c_35973,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18105,c_35960]) ).
tcf(c_35974,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14575,c_35960]) ).
tcf(c_35975,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_11846,c_35960]) ).
tcf(c_35978,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_26 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2234,c_35960]) ).
tcf(c_35979,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_26 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2229,c_35960]) ).
tcf(c_35980,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_23 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2072,c_35960]) ).
tcf(c_35981,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_23 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2067,c_35960]) ).
tcf(c_35982,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( identity != iPr_def_26 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1713,c_35960]) ).
tcf(c_35983,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( identity != iPr_def_23 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1581,c_35960]) ).
tcf(c_35984,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1088,c_35960]) ).
tcf(c_35985,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1075,c_35960]) ).
tcf(c_35986,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1074,c_35960]) ).
tcf(c_35987,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1040,c_35960]) ).
tcf(c_35988,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1032,c_35960]) ).
tcf(c_35989,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1020,c_35960]) ).
tcf(c_35990,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( identity != iPr_def_26 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_657,c_35960]) ).
tcf(c_35991,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( identity != iPr_def_23 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_654,c_35960]) ).
tcf(c_36078,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31378,c_3768]) ).
tcf(c_36104,plain,
( ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_3770,c_17605]) ).
tcf(c_36114,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25664,c_36104]) ).
tcf(c_36115,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25578,c_36104]) ).
tcf(c_36116,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25067,c_36104]) ).
tcf(c_36117,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19643,c_36104]) ).
tcf(c_36118,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19641,c_36104]) ).
tcf(c_36119,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19640,c_36104]) ).
tcf(c_36138,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2167,c_36104]) ).
tcf(c_36139,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2162,c_36104]) ).
tcf(c_36140,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1993,c_36104]) ).
tcf(c_36141,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1987,c_36104]) ).
tcf(c_36142,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1947,c_36104]) ).
tcf(c_36143,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1883,c_36104]) ).
tcf(c_36144,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1877,c_36104]) ).
tcf(c_36145,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1844,c_36104]) ).
tcf(c_36146,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1644,c_36104]) ).
tcf(c_36147,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1538,c_36104]) ).
tcf(c_36148,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1495,c_36104]) ).
tcf(c_36149,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1446,c_36104]) ).
tcf(c_36150,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1420,c_36104]) ).
tcf(c_36151,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1155,c_36104]) ).
tcf(c_36152,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1120,c_36104]) ).
tcf(c_36153,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_687,c_36104]) ).
tcf(c_36154,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_686,c_36104]) ).
tcf(c_36155,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_684,c_36104]) ).
tcf(c_36156,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_683,c_36104]) ).
tcf(c_36157,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_681,c_36104]) ).
tcf(c_36158,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_677,c_36104]) ).
tcf(c_36159,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_676,c_36104]) ).
tcf(c_36160,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_674,c_36104]) ).
tcf(c_36161,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_673,c_36104]) ).
tcf(c_36162,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_36104]) ).
tcf(c_36163,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_36104]) ).
tcf(c_36164,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_36104]) ).
tcf(c_36165,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_36104]) ).
tcf(c_36166,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_663,c_36104]) ).
tcf(c_36167,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_661,c_36104]) ).
tcf(c_36168,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_656,c_36104]) ).
tcf(c_36169,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_653,c_36104]) ).
tcf(c_36170,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_651,c_36104]) ).
tcf(c_36349,plain,
( ~ iPr_def_10
| ( sk_c10 != identity )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_3967,c_17605]) ).
tcf(c_36366,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_2359,c_36349]) ).
tcf(c_36367,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_697,c_36349]) ).
tcf(c_36368,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_696,c_36349]) ).
tcf(c_36369,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_24 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_695,c_36349]) ).
tcf(c_36370,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_694,c_36349]) ).
tcf(c_36371,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_693,c_36349]) ).
tcf(c_36372,plain,
( ( sk_c8 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_692,c_36349]) ).
tcf(c_36373,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_691,c_36349]) ).
tcf(c_36374,plain,
( ( sk_c8 = iPr_def_18 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_689,c_36349]) ).
tcf(c_36375,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_24 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_685,c_36349]) ).
tcf(c_36376,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_24 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_675,c_36349]) ).
tcf(c_36377,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_24 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_665,c_36349]) ).
tcf(c_36378,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_24 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_655,c_36349]) ).
tcf(c_36435,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26130,c_7663]) ).
tcf(c_36436,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26127,c_7663]) ).
tcf(c_36437,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26125,c_7663]) ).
tcf(c_36438,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25304,c_7663]) ).
tcf(c_36439,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25301,c_7663]) ).
tcf(c_36440,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25299,c_7663]) ).
tcf(c_36457,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5260,c_7663]) ).
tcf(c_36458,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5257,c_7663]) ).
tcf(c_36459,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_29),sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_7663,c_16658]) ).
tcf(c_36461,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_7663,c_27711]) ).
tcf(c_36509,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35287,c_643]) ).
tcf(c_36515,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_35287,c_28411]) ).
tcf(c_36516,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_35287,c_28409]) ).
tcf(c_36517,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_35287,c_28407]) ).
tcf(c_36518,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_35287,c_28404]) ).
tcf(c_36522,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_35287,c_28396]) ).
tcf(c_36524,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_35287,c_28394]) ).
tcf(c_36525,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_35287,c_28393]) ).
tcf(c_36526,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_35287,c_28392]) ).
tcf(c_36565,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30824,c_16658]) ).
tcf(c_36566,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_30824,c_105]) ).
tcf(c_36570,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_30824,c_7267]) ).
tcf(c_36571,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_30824,c_7554]) ).
tcf(c_36589,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30843,c_16658]) ).
tcf(c_36590,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_30843,c_105]) ).
tcf(c_36594,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_30843,c_7267]) ).
tcf(c_36595,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_30843,c_7554]) ).
tcf(c_36679,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36518,c_20355]) ).
tcf(c_36683,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36518,c_18900]) ).
tcf(c_36684,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36518,c_18301]) ).
tcf(c_36693,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36518,c_3194]) ).
tcf(c_36694,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36518,c_3100]) ).
tcf(c_36695,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36518,c_3023]) ).
tcf(c_36696,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_36518,c_13499]) ).
tcf(c_36697,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_36518,c_2900]) ).
tcf(c_36698,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36518,c_2857]) ).
tcf(c_36701,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_36518,c_2915]) ).
tcf(c_36702,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_36518,c_1261]) ).
tcf(c_36703,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36518,c_640]) ).
tcf(c_36704,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_36518,c_641]) ).
tcf(c_36788,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29450,c_16658]) ).
tcf(c_36789,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_29450,c_104]) ).
tcf(c_36790,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29450,c_643]) ).
tcf(c_36794,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29450,c_28411]) ).
tcf(c_36795,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29450,c_28409]) ).
tcf(c_36796,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29450,c_28407]) ).
tcf(c_36803,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29450,c_28394]) ).
tcf(c_36804,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29450,c_28393]) ).
tcf(c_36805,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29450,c_28392]) ).
tcf(c_36845,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36796,c_20355]) ).
tcf(c_36847,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_36796,c_27711]) ).
tcf(c_36848,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_36796,c_27708]) ).
tcf(c_36849,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36796,c_18900]) ).
tcf(c_36850,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36796,c_18301]) ).
tcf(c_36860,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36796,c_3100]) ).
tcf(c_36861,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36796,c_3023]) ).
tcf(c_36862,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_36796,c_13499]) ).
tcf(c_36863,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_36796,c_2900]) ).
tcf(c_36864,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36796,c_2857]) ).
tcf(c_36867,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_36796,c_2915]) ).
tcf(c_36868,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_36796,c_1261]) ).
tcf(c_36869,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36796,c_640]) ).
tcf(c_36870,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_36796,c_641]) ).
tcf(c_36926,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29524,c_16658]) ).
tcf(c_36927,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_29524,c_104]) ).
tcf(c_36928,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29524,c_643]) ).
tcf(c_36932,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29524,c_28411]) ).
tcf(c_36933,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29524,c_28409]) ).
tcf(c_36941,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29524,c_28394]) ).
tcf(c_36942,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29524,c_28393]) ).
tcf(c_36943,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29524,c_28392]) ).
tcf(c_36972,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_2658,c_642,c_1562,c_2405,c_2658]) ).
tcf(c_37001,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31378,c_2792]) ).
tcf(c_37002,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_19642,c_2792]) ).
tcf(c_37003,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18691,c_2792]) ).
tcf(c_37004,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_18105,c_2792]) ).
tcf(c_37005,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_14575,c_2792]) ).
tcf(c_37006,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_11846,c_2792]) ).
tcf(c_37009,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2234,c_2792]) ).
tcf(c_37010,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2229,c_2792]) ).
tcf(c_37011,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2072,c_2792]) ).
tcf(c_37012,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2067,c_2792]) ).
tcf(c_37013,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1713,c_2792]) ).
tcf(c_37014,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1581,c_2792]) ).
tcf(c_37015,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1088,c_2792]) ).
tcf(c_37016,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1075,c_2792]) ).
tcf(c_37017,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1074,c_2792]) ).
tcf(c_37018,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1040,c_2792]) ).
tcf(c_37019,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1032,c_2792]) ).
tcf(c_37020,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1020,c_2792]) ).
tcf(c_37021,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_657,c_2792]) ).
tcf(c_37022,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_654,c_2792]) ).
tcf(c_37023,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37022,c_635,c_19276]) ).
tcf(c_37032,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37020,c_629,c_29043]) ).
tcf(c_37037,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37019,c_629,c_29043]) ).
tcf(c_37042,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37018,c_629,c_29043]) ).
tcf(c_37047,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37017,c_629,c_29043]) ).
tcf(c_37052,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37016,c_629,c_29043]) ).
tcf(c_37057,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37015,c_629,c_29043]) ).
tcf(c_37062,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37014,c_635,c_19276]) ).
tcf(c_37071,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37012,c_635,c_19276]) ).
tcf(c_37076,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37011,c_635,c_19276]) ).
tcf(c_37097,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37004,c_629,c_29043]) ).
tcf(c_37102,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37003,c_629,c_29043]) ).
tcf(c_37107,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_37002,c_629,c_29043]) ).
tcf(c_37197,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_19642,c_3562]) ).
tcf(c_37198,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18691,c_3562]) ).
tcf(c_37199,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18105,c_3562]) ).
tcf(c_37206,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2072,c_3562]) ).
tcf(c_37207,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2067,c_3562]) ).
tcf(c_37209,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1581,c_3562]) ).
tcf(c_37210,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1088,c_3562]) ).
tcf(c_37211,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1075,c_3562]) ).
tcf(c_37212,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1074,c_3562]) ).
tcf(c_37213,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1040,c_3562]) ).
tcf(c_37214,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1032,c_3562]) ).
tcf(c_37215,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1020,c_3562]) ).
tcf(c_37217,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_654,c_3562]) ).
tcf(c_37218,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37217,c_635,c_19276]) ).
tcf(c_37222,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37215,c_629,c_29043]) ).
tcf(c_37226,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37214,c_629,c_29043]) ).
tcf(c_37230,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37213,c_629,c_29043]) ).
tcf(c_37234,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37212,c_629,c_29043]) ).
tcf(c_37238,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37211,c_629,c_29043]) ).
tcf(c_37242,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37210,c_629,c_29043]) ).
tcf(c_37246,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37209,c_635,c_19276]) ).
tcf(c_37250,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37207,c_635,c_19276]) ).
tcf(c_37254,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37206,c_635,c_19276]) ).
tcf(c_37258,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37199,c_629,c_29043]) ).
tcf(c_37262,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37198,c_629,c_29043]) ).
tcf(c_37266,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37197,c_629,c_29043]) ).
tcf(c_37331,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19640,c_3771]) ).
tcf(c_37350,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_25)) != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2167,c_3771]) ).
tcf(c_37351,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_25)) != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2162,c_3771]) ).
tcf(c_37354,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1947,c_3771]) ).
tcf(c_37357,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1844,c_3771]) ).
tcf(c_37358,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_25)) != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1644,c_3771]) ).
tcf(c_37365,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_687,c_3771]) ).
tcf(c_37366,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_686,c_3771]) ).
tcf(c_37367,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_684,c_3771]) ).
tcf(c_37368,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_683,c_3771]) ).
tcf(c_37369,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_681,c_3771]) ).
tcf(c_37380,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_25)) != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_656,c_3771]) ).
tcf(c_37391,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37380,c_637,c_18150]) ).
tcf(c_37435,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37369,c_641,c_28387]) ).
tcf(c_37439,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37368,c_641,c_28387]) ).
tcf(c_37443,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37367,c_641,c_28387]) ).
tcf(c_37447,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37366,c_641,c_28387]) ).
tcf(c_37451,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37365,c_641,c_28387]) ).
tcf(c_37479,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37358,c_637,c_18150]) ).
tcf(c_37483,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37357,c_641,c_28387]) ).
tcf(c_37495,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37354,c_641,c_28387]) ).
tcf(c_37507,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37351,c_637,c_18150]) ).
tcf(c_37511,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37350,c_637,c_18150]) ).
tcf(c_37515,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_37331,c_641,c_28387]) ).
tcf(c_37527,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26130,c_7670]) ).
tcf(c_37528,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26127,c_7670]) ).
tcf(c_37529,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26125,c_7670]) ).
tcf(c_37530,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25304,c_7670]) ).
tcf(c_37531,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25301,c_7670]) ).
tcf(c_37532,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25299,c_7670]) ).
tcf(c_37547,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5748,c_7670]) ).
tcf(c_37548,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5744,c_7670]) ).
tcf(c_37551,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_29),sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_7670,c_16658]) ).
tcf(c_37553,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_7670,c_27711]) ).
tcf(c_37624,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_36870,c_643]) ).
tcf(c_37632,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_36870,c_28411]) ).
tcf(c_37633,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_36870,c_28409]) ).
tcf(c_37634,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_36870,c_28407]) ).
tcf(c_37641,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_36870,c_28394]) ).
tcf(c_37642,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_36870,c_28393]) ).
tcf(c_37643,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_36870,c_28392]) ).
tcf(c_37703,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19643,c_31677]) ).
tcf(c_37704,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19641,c_31677]) ).
tcf(c_37705,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19640,c_31677]) ).
tcf(c_37739,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_31677]) ).
tcf(c_37740,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_686,c_31677]) ).
tcf(c_37741,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_684,c_31677]) ).
tcf(c_37742,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_683,c_31677]) ).
tcf(c_37743,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_31677]) ).
tcf(c_37744,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_677,c_31677]) ).
tcf(c_37745,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_676,c_31677]) ).
tcf(c_37746,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_674,c_31677]) ).
tcf(c_37747,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_673,c_31677]) ).
tcf(c_37748,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_31677]) ).
tcf(c_37749,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_31677]) ).
tcf(c_37750,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_666,c_31677]) ).
tcf(c_37751,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_31677]) ).
tcf(c_37752,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_663,c_31677]) ).
tcf(c_37753,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_661,c_31677]) ).
tcf(c_37757,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31677,c_16658]) ).
tcf(c_37759,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31677,c_646]) ).
tcf(c_37822,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_13012,c_642,c_1562,c_2405,c_2802,c_3575,c_8755,c_9085,c_9996,c_11032,c_16381]) ).
tcf(c_37832,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_13013,c_642,c_1562,c_2405,c_2802,c_3575,c_8807,c_9027,c_9780,c_10925,c_16086]) ).
tcf(c_37842,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_13015,c_642,c_1562,c_2405,c_2802,c_3575,c_8771,c_8969,c_9711,c_10820,c_16001]) ).
tcf(c_37852,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_13016,c_642,c_1562,c_2405,c_2802,c_3575,c_8783,c_8821,c_9587,c_10711,c_16018]) ).
tcf(c_37872,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_13018,c_642,c_1562,c_2405,c_2802,c_3575,c_8795,c_8833,c_9246,c_10246,c_16052]) ).
tcf(c_37892,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19643,c_31680]) ).
tcf(c_37893,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19641,c_31680]) ).
tcf(c_37894,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19640,c_31680]) ).
tcf(c_37928,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_687,c_31680]) ).
tcf(c_37929,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_686,c_31680]) ).
tcf(c_37930,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_684,c_31680]) ).
tcf(c_37931,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_683,c_31680]) ).
tcf(c_37932,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_681,c_31680]) ).
tcf(c_37933,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_677,c_31680]) ).
tcf(c_37934,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_676,c_31680]) ).
tcf(c_37935,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_674,c_31680]) ).
tcf(c_37936,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_673,c_31680]) ).
tcf(c_37937,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_671,c_31680]) ).
tcf(c_37938,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_667,c_31680]) ).
tcf(c_37939,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_666,c_31680]) ).
tcf(c_37940,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_664,c_31680]) ).
tcf(c_37941,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_663,c_31680]) ).
tcf(c_37942,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_661,c_31680]) ).
tcf(c_37946,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31680,c_16658]) ).
tcf(c_37948,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31680,c_646]) ).
tcf(c_37952,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_31680,c_7628]) ).
tcf(c_38012,plain,
multiply(identity,iPr_def_25) = iPr_def_25,
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_38014,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_38043,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_13019,c_2663,c_2802,c_3575,c_8148,c_8172,c_9143,c_10091]) ).
tcf(c_38159,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19643,c_31683]) ).
tcf(c_38160,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19641,c_31683]) ).
tcf(c_38161,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19640,c_31683]) ).
tcf(c_38195,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_687,c_31683]) ).
tcf(c_38196,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_31683]) ).
tcf(c_38197,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_31683]) ).
tcf(c_38198,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_683,c_31683]) ).
tcf(c_38199,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_31683]) ).
tcf(c_38200,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_677,c_31683]) ).
tcf(c_38201,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_676,c_31683]) ).
tcf(c_38202,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_674,c_31683]) ).
tcf(c_38203,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_673,c_31683]) ).
tcf(c_38204,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_31683]) ).
tcf(c_38205,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_31683]) ).
tcf(c_38206,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_31683]) ).
tcf(c_38207,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_31683]) ).
tcf(c_38208,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_663,c_31683]) ).
tcf(c_38209,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_661,c_31683]) ).
tcf(c_38213,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31683,c_16658]) ).
tcf(c_38215,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31683,c_646]) ).
tcf(c_38225,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_17,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_31683,c_7304]) ).
tcf(c_38287,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_29 )
| ( iPr_def_29 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_38303,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36933,c_20355]) ).
tcf(c_38305,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_36933,c_27711]) ).
tcf(c_38306,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_36933,c_27708]) ).
tcf(c_38307,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36933,c_18900]) ).
tcf(c_38308,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36933,c_18301]) ).
tcf(c_38319,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36933,c_3023]) ).
tcf(c_38320,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_36933,c_13499]) ).
tcf(c_38321,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_36933,c_2900]) ).
tcf(c_38322,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36933,c_2857]) ).
tcf(c_38325,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_36933,c_2915]) ).
tcf(c_38326,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_36933,c_1261]) ).
tcf(c_38327,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36933,c_640]) ).
tcf(c_38328,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_36933,c_641]) ).
tcf(c_38394,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37634,c_20355]) ).
tcf(c_38398,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37634,c_18900]) ).
tcf(c_38399,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37634,c_18301]) ).
tcf(c_38409,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37634,c_3100]) ).
tcf(c_38410,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37634,c_3023]) ).
tcf(c_38411,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_37634,c_13499]) ).
tcf(c_38412,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_37634,c_2900]) ).
tcf(c_38413,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37634,c_2857]) ).
tcf(c_38416,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37634,c_2915]) ).
tcf(c_38417,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_37634,c_1261]) ).
tcf(c_38418,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37634,c_640]) ).
tcf(c_38419,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_37634,c_641]) ).
tcf(c_38470,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29581,c_16658]) ).
tcf(c_38471,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_29581,c_104]) ).
tcf(c_38472,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29581,c_643]) ).
tcf(c_38477,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29581,c_28411]) ).
tcf(c_38486,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29581,c_28394]) ).
tcf(c_38487,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29581,c_28393]) ).
tcf(c_38488,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_29581,c_28392]) ).
tcf(c_38542,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38477,c_20355]) ).
tcf(c_38544,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38477,c_27711]) ).
tcf(c_38545,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_38477,c_27708]) ).
tcf(c_38546,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38477,c_18900]) ).
tcf(c_38547,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38477,c_18301]) ).
tcf(c_38559,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_38477,c_13499]) ).
tcf(c_38560,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_38477,c_2900]) ).
tcf(c_38561,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38477,c_2857]) ).
tcf(c_38564,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38477,c_2915]) ).
tcf(c_38565,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_38477,c_1261]) ).
tcf(c_38566,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38477,c_640]) ).
tcf(c_38567,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38477,c_641]) ).
tcf(c_38605,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_19642,c_3968]) ).
tcf(c_38606,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18691,c_3968]) ).
tcf(c_38607,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18105,c_3968]) ).
tcf(c_38614,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2072,c_3968]) ).
tcf(c_38615,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2067,c_3968]) ).
tcf(c_38617,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1581,c_3968]) ).
tcf(c_38618,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1088,c_3968]) ).
tcf(c_38619,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1075,c_3968]) ).
tcf(c_38620,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1074,c_3968]) ).
tcf(c_38621,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1040,c_3968]) ).
tcf(c_38622,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1032,c_3968]) ).
tcf(c_38623,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1020,c_3968]) ).
tcf(c_38625,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_654,c_3968]) ).
tcf(c_38626,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38625,c_635,c_19276]) ).
tcf(c_38630,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38623,c_629,c_29043]) ).
tcf(c_38634,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38622,c_629,c_29043]) ).
tcf(c_38638,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38621,c_629,c_29043]) ).
tcf(c_38642,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38620,c_629,c_29043]) ).
tcf(c_38646,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38619,c_629,c_29043]) ).
tcf(c_38650,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38618,c_629,c_29043]) ).
tcf(c_38654,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38617,c_635,c_19276]) ).
tcf(c_38658,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38615,c_635,c_19276]) ).
tcf(c_38662,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38614,c_635,c_19276]) ).
tcf(c_38666,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38607,c_629,c_29043]) ).
tcf(c_38670,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38606,c_629,c_29043]) ).
tcf(c_38674,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_38605,c_629,c_29043]) ).
tcf(c_38714,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26130,c_7677]) ).
tcf(c_38715,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26127,c_7677]) ).
tcf(c_38716,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26125,c_7677]) ).
tcf(c_38717,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25304,c_7677]) ).
tcf(c_38718,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25301,c_7677]) ).
tcf(c_38719,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25299,c_7677]) ).
tcf(c_38732,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6085,c_7677]) ).
tcf(c_38733,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_5863,c_7677]) ).
tcf(c_38738,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_29),sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_7677,c_16658]) ).
tcf(c_38740,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_7677,c_27711]) ).
tcf(c_38791,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_38328,c_643]) ).
tcf(c_38800,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38328,c_28411]) ).
tcf(c_38801,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38328,c_28409]) ).
tcf(c_38809,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38328,c_28394]) ).
tcf(c_38810,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38328,c_28393]) ).
tcf(c_38811,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38328,c_28392]) ).
tcf(c_38859,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_38567,c_643]) ).
tcf(c_38868,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38567,c_28411]) ).
tcf(c_38877,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38567,c_28394]) ).
tcf(c_38878,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38567,c_28393]) ).
tcf(c_38879,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38567,c_28392]) ).
tcf(c_38917,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19643,c_31686]) ).
tcf(c_38918,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19641,c_31686]) ).
tcf(c_38919,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19640,c_31686]) ).
tcf(c_38953,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_687,c_31686]) ).
tcf(c_38954,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_686,c_31686]) ).
tcf(c_38955,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_684,c_31686]) ).
tcf(c_38956,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_683,c_31686]) ).
tcf(c_38957,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_681,c_31686]) ).
tcf(c_38958,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_677,c_31686]) ).
tcf(c_38959,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_676,c_31686]) ).
tcf(c_38960,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_674,c_31686]) ).
tcf(c_38961,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_673,c_31686]) ).
tcf(c_38962,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_31686]) ).
tcf(c_38963,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_667,c_31686]) ).
tcf(c_38964,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_666,c_31686]) ).
tcf(c_38965,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_31686]) ).
tcf(c_38966,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_663,c_31686]) ).
tcf(c_38967,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_661,c_31686]) ).
tcf(c_38971,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31686,c_16658]) ).
tcf(c_38973,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_28 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31686,c_646]) ).
tcf(c_38974,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_31686,c_7323]) ).
tcf(c_39061,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_648,c_650]) ).
tcf(c_39190,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_662,c_659]) ).
tcf(c_39452,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_670,c_668]) ).
tcf(c_40017,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_683,c_663]) ).
tcf(c_40182,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_667]) ).
tcf(c_40310,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_690,c_688]) ).
tcf(c_40707,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_640,c_644]) ).
tcf(c_40708,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(sk_c2) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_639,c_644]) ).
tcf(c_40709,plain,
( ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_644]) ).
tcf(c_40722,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_40708,c_629]) ).
tcf(c_40726,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_29 )
| ( sk_c11 != iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_40707,c_641]) ).
tcf(c_40780,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_640,c_645]) ).
tcf(c_40781,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_639,c_645]) ).
tcf(c_40795,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_40781,c_629]) ).
tcf(c_40799,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_40780,c_641]) ).
tcf(c_40852,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_26 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_638,c_646]) ).
tcf(c_40878,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_40852,c_637]) ).
tcf(c_41082,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_636,c_647]) ).
tcf(c_41085,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_639,c_647]) ).
tcf(c_41100,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_41085,c_629]) ).
tcf(c_41111,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_41082,c_635]) ).
tcf(c_42951,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_40017,c_39452]) ).
tcf(c_43759,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_31898,c_647]) ).
tcf(c_43760,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_31898,c_645]) ).
tcf(c_43761,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31898,c_644]) ).
tcf(c_43762,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31898,c_16658]) ).
tcf(c_43763,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_31898,c_105]) ).
tcf(c_43764,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31898,c_643]) ).
tcf(c_43765,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31898,c_646]) ).
tcf(c_43766,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_31898,c_7267]) ).
tcf(c_43767,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_31898,c_7554]) ).
tcf(c_43872,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38801,c_20355]) ).
tcf(c_43876,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38801,c_18900]) ).
tcf(c_43877,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38801,c_18301]) ).
tcf(c_43888,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38801,c_3023]) ).
tcf(c_43889,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_38801,c_13499]) ).
tcf(c_43890,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_38801,c_2900]) ).
tcf(c_43891,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38801,c_2857]) ).
tcf(c_43894,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38801,c_2915]) ).
tcf(c_43895,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_38801,c_1261]) ).
tcf(c_43896,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38801,c_640]) ).
tcf(c_43897,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38801,c_641]) ).
tcf(c_44018,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38868,c_20355]) ).
tcf(c_44022,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38868,c_18900]) ).
tcf(c_44023,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38868,c_18301]) ).
tcf(c_44035,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_38868,c_13499]) ).
tcf(c_44036,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_38868,c_2900]) ).
tcf(c_44037,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38868,c_2857]) ).
tcf(c_44040,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38868,c_2915]) ).
tcf(c_44041,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_38868,c_1261]) ).
tcf(c_44042,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38868,c_640]) ).
tcf(c_44043,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_38868,c_641]) ).
tcf(c_44107,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_30652,c_16658]) ).
tcf(c_44108,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30652,c_104]) ).
tcf(c_44109,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_30652,c_643]) ).
tcf(c_44116,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28411]) ).
tcf(c_44117,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28409]) ).
tcf(c_44118,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28407]) ).
tcf(c_44119,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28404]) ).
tcf(c_44120,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28403]) ).
tcf(c_44121,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28401]) ).
tcf(c_44122,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28400]) ).
tcf(c_44123,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28396]) ).
tcf(c_44124,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28395]) ).
tcf(c_44125,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28394]) ).
tcf(c_44126,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28393]) ).
tcf(c_44127,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30652,c_28392]) ).
tcf(c_44217,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_31896,c_16658]) ).
tcf(c_44218,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_31896,c_104]) ).
tcf(c_44219,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31896,c_643]) ).
tcf(c_44292,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c3) ) ),
inference(superposition,[status(thm)],[c_1256,c_7796]) ).
tcf(c_44293,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_2920,c_7796]) ).
tcf(c_44294,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_15,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_7630,c_7796]) ).
tcf(c_44295,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c11,X0)) = multiply(iPr_def_15,multiply(iPr_def_26,X0)) ) ),
inference(superposition,[status(thm)],[c_7633,c_7796]) ).
tcf(c_44296,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_25) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_7796]) ).
tcf(c_44297,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_15,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_7796,c_16658]) ).
tcf(c_44298,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(multiply(iPr_def_25,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7796,c_105]) ).
tcf(c_44299,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,multiply(iPr_def_25,X0)) ) ),
inference(superposition,[status(thm)],[c_7796,c_2901]) ).
tcf(c_44300,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,multiply(iPr_def_25,X0)) ) ),
inference(superposition,[status(thm)],[c_7796,c_2900]) ).
tcf(c_44301,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_25,X0)) ) ),
inference(superposition,[status(thm)],[c_7796,c_2898]) ).
tcf(c_44302,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,multiply(iPr_def_25,X0)) ) ),
inference(superposition,[status(thm)],[c_7796,c_2896]) ).
tcf(c_44305,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_44294,c_627]) ).
tcf(c_44312,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_44297,c_16840]) ).
tcf(c_44315,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,multiply(iPr_def_25,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_44302,c_12263]) ).
tcf(c_44318,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,multiply(iPr_def_25,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_44301,c_12873]) ).
tcf(c_44321,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,multiply(iPr_def_25,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_44300,c_13518]) ).
tcf(c_44324,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,multiply(iPr_def_25,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_44299,c_14278]) ).
tcf(c_44327,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_44295,c_2894]) ).
tcf(c_44373,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_33816,c_16658]) ).
tcf(c_44374,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_33816,c_105]) ).
tcf(c_44384,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_33816,c_7304]) ).
tcf(c_44403,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_33926,c_16658]) ).
tcf(c_44404,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_33926,c_105]) ).
tcf(c_44414,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_33926,c_7304]) ).
tcf(c_44433,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_34307,c_16658]) ).
tcf(c_44434,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_34307,c_105]) ).
tcf(c_44444,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_34307,c_7304]) ).
tcf(c_44468,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_34393]) ).
tcf(c_44472,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_34393]) ).
tcf(c_44473,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_34393]) ).
tcf(c_44490,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_34393,c_647]) ).
tcf(c_44491,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_34393,c_645]) ).
tcf(c_44492,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34393,c_644]) ).
tcf(c_44493,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34393,c_16658]) ).
tcf(c_44495,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34393,c_30654]) ).
tcf(c_44496,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34393,c_29583]) ).
tcf(c_44497,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34393,c_29526]) ).
tcf(c_44498,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34393,c_29452]) ).
tcf(c_44499,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34393,c_29371]) ).
tcf(c_44500,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34393,c_29155]) ).
tcf(c_44501,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34393,c_29000]) ).
tcf(c_44502,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34393,c_28930]) ).
tcf(c_44503,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34393,c_28791]) ).
tcf(c_44504,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_17,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_34393,c_7304]) ).
tcf(c_44669,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_34393]) ).
tcf(c_44673,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_44501,c_2792]) ).
tcf(c_44674,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_44501,c_3768]) ).
tcf(c_44675,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_28 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_44501,c_35960]) ).
tcf(c_44680,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_44501,c_31378]) ).
tcf(c_44681,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_20777]) ).
tcf(c_44683,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_20129]) ).
tcf(c_44684,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_19788]) ).
tcf(c_44693,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_44501,c_16676]) ).
tcf(c_44696,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_5762]) ).
tcf(c_44699,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_5273]) ).
tcf(c_44702,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_4477]) ).
tcf(c_44704,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_4227]) ).
tcf(c_44705,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_3507]) ).
tcf(c_44706,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_3396]) ).
tcf(c_44707,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_14575]) ).
tcf(c_44708,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_28,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_44501,c_2901]) ).
tcf(c_44709,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_11846]) ).
tcf(c_44710,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_44501,c_2900]) ).
tcf(c_44711,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_44501,c_2898]) ).
tcf(c_44712,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_44501,c_2896]) ).
tcf(c_44713,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_44501,c_2894]) ).
tcf(c_44714,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_2241]) ).
tcf(c_44715,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_2173]) ).
tcf(c_44716,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_2077]) ).
tcf(c_44717,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1996]) ).
tcf(c_44718,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44501,c_1950]) ).
tcf(c_44719,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1885]) ).
tcf(c_44721,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44501,c_1798]) ).
tcf(c_44722,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1720]) ).
tcf(c_44724,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1650]) ).
tcf(c_44725,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1586]) ).
tcf(c_44726,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1541]) ).
tcf(c_44727,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44501,c_1497]) ).
tcf(c_44728,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1448]) ).
tcf(c_44729,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44501,c_1389]) ).
tcf(c_44730,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1343]) ).
tcf(c_44731,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1305]) ).
tcf(c_44732,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1272]) ).
tcf(c_44735,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44501,c_1194]) ).
tcf(c_44736,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44501,c_1193]) ).
tcf(c_44737,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1167]) ).
tcf(c_44738,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_1135]) ).
tcf(c_44742,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44501,c_2234]) ).
tcf(c_44743,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44501,c_2229]) ).
tcf(c_44744,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44501,c_2072]) ).
tcf(c_44745,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44501,c_2067]) ).
tcf(c_44746,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44501,c_1713]) ).
tcf(c_44747,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44501,c_1581]) ).
tcf(c_44748,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_44501,c_647]) ).
tcf(c_44749,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_44501,c_645]) ).
tcf(c_44750,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_1088]) ).
tcf(c_44751,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_1075]) ).
tcf(c_44752,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_1074]) ).
tcf(c_44753,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_1040]) ).
tcf(c_44754,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_1032]) ).
tcf(c_44756,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_44501,c_644]) ).
tcf(c_44757,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_640]) ).
tcf(c_44758,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_44501,c_639]) ).
tcf(c_44759,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44501,c_636]) ).
tcf(c_44760,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44501,c_632]) ).
tcf(c_44762,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44501,c_627]) ).
tcf(c_45365,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_44750,c_31686]) ).
tcf(c_45366,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28412]) ).
tcf(c_45367,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28410]) ).
tcf(c_45368,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28408]) ).
tcf(c_45369,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28406]) ).
tcf(c_45370,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28405]) ).
tcf(c_45371,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28402]) ).
tcf(c_45372,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28399]) ).
tcf(c_45373,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28398]) ).
tcf(c_45374,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28397]) ).
tcf(c_45375,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28391]) ).
tcf(c_45376,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28390]) ).
tcf(c_45377,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_28389]) ).
tcf(c_45378,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44750,c_20129]) ).
tcf(c_45379,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44750,c_20125]) ).
tcf(c_45383,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_44750,c_14691]) ).
tcf(c_45384,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_44750,c_14053]) ).
tcf(c_45385,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_44750,c_21268]) ).
tcf(c_45386,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_44750,c_21265]) ).
tcf(c_45387,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_44750,c_7323]) ).
tcf(c_45389,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44750,c_4477]) ).
tcf(c_45390,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44750,c_4473]) ).
tcf(c_45391,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44750,c_4227]) ).
tcf(c_45392,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44750,c_4223]) ).
tcf(c_45393,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44750,c_1720]) ).
tcf(c_45394,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44750,c_1716]) ).
tcf(c_45395,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44750,c_1650]) ).
tcf(c_45396,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44750,c_1646]) ).
tcf(c_45397,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44750,c_1586]) ).
tcf(c_45398,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44750,c_1582]) ).
tcf(c_45399,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44750,c_1541]) ).
tcf(c_45400,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44750,c_1537]) ).
tcf(c_45401,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44750,c_1448]) ).
tcf(c_45402,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_44750,c_1444]) ).
tcf(c_45403,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_44750,c_5148]) ).
tcf(c_45404,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_44750,c_4969]) ).
tcf(c_45405,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_44750,c_4967]) ).
tcf(c_45406,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_44750,c_4549]) ).
tcf(c_45407,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_44750,c_4463]) ).
tcf(c_45409,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_44750,c_7320]) ).
tcf(c_45412,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45371,c_29043]) ).
tcf(c_45435,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45377,c_29043]) ).
tcf(c_45439,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45376,c_29043]) ).
tcf(c_45443,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45375,c_29043]) ).
tcf(c_45447,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45374,c_29043]) ).
tcf(c_45451,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45373,c_29043]) ).
tcf(c_45456,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45370,c_29043]) ).
tcf(c_45460,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45369,c_29043]) ).
tcf(c_45464,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45368,c_29043]) ).
tcf(c_45468,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45367,c_29043]) ).
tcf(c_45472,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_45366,c_29043]) ).
tcf(c_45625,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_45403,c_34393]) ).
tcf(c_45626,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45403,c_34307]) ).
tcf(c_45627,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45403,c_33926]) ).
tcf(c_45628,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45403,c_33816]) ).
tcf(c_45629,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_30652]) ).
tcf(c_45630,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_45403,c_38567]) ).
tcf(c_45631,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_45403,c_38328]) ).
tcf(c_45632,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_45403,c_7677]) ).
tcf(c_45633,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_29581]) ).
tcf(c_45635,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_45403,c_36870]) ).
tcf(c_45636,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_45403,c_7670]) ).
tcf(c_45637,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_29524]) ).
tcf(c_45638,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_29450]) ).
tcf(c_45639,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_45403,c_35287]) ).
tcf(c_45640,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_45403,c_7663]) ).
tcf(c_45641,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_29369]) ).
tcf(c_45642,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45403,c_30654]) ).
tcf(c_45643,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_45403,c_34532]) ).
tcf(c_45644,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_45403,c_34394]) ).
tcf(c_45645,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_29153]) ).
tcf(c_45646,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_28998]) ).
tcf(c_45647,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_28928]) ).
tcf(c_45648,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_28789]) ).
tcf(c_45650,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45403,c_29583]) ).
tcf(c_45653,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45403,c_29526]) ).
tcf(c_45654,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45403,c_29452]) ).
tcf(c_45655,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45403,c_29371]) ).
tcf(c_45656,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45403,c_29155]) ).
tcf(c_45659,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45403,c_29000]) ).
tcf(c_45660,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45403,c_28930]) ).
tcf(c_45661,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45403,c_28791]) ).
tcf(c_45673,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_45403,c_7304]) ).
tcf(c_45688,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_45403,c_7301]) ).
tcf(c_45689,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_45646,c_29043]) ).
tcf(c_45692,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_45644,c_29043]) ).
tcf(c_45703,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_45648,c_29043]) ).
tcf(c_45707,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_45647,c_29043]) ).
tcf(c_45711,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_45645,c_29043]) ).
tcf(c_45715,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_45643,c_29043]) ).
tcf(c_45719,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_45641,c_29043]) ).
tcf(c_45723,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_45639,c_29043]) ).
tcf(c_45727,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_45638,c_29043]) ).
tcf(c_45731,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_45637,c_29043]) ).
tcf(c_45735,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_45635,c_29043]) ).
tcf(c_45739,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_45633,c_29043]) ).
tcf(c_45743,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_45631,c_29043]) ).
tcf(c_45747,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_45630,c_29043]) ).
tcf(c_45751,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_45629,c_29043]) ).
tcf(c_45893,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45412,c_28672]) ).
tcf(c_45894,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45412,c_28669]) ).
tcf(c_45901,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_45412,c_14259]) ).
tcf(c_45902,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_45412,c_2901]) ).
tcf(c_45905,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45412,c_2914]) ).
tcf(c_45906,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_45412,c_1262]) ).
tcf(c_45907,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_45412,c_639]) ).
tcf(c_45908,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(sk_c1) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45412,c_629]) ).
tcf(c_45909,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_45908,c_641]) ).
tcf(c_45924,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,X0) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_45902,c_2900]) ).
tcf(c_45941,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_26,sk_c11) ) ),
inference(superposition,[status(thm)],[c_17582,c_7851]) ).
tcf(c_45942,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_25664,c_7851]) ).
tcf(c_45943,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_25578,c_7851]) ).
tcf(c_45944,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_25067,c_7851]) ).
tcf(c_45999,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7851,c_16658]) ).
tcf(c_46000,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7851,c_105]) ).
tcf(c_46001,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_7851,c_18216]) ).
tcf(c_46002,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_7851,c_18201]) ).
tcf(c_46003,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_7851,c_18186]) ).
tcf(c_46004,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,multiply(sk_c11,X0)) = multiply(iPr_def_25,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_7851,c_7633]) ).
tcf(c_46084,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_45909,c_7323]) ).
tcf(c_46085,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_45909,c_21047]) ).
tcf(c_46086,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_45909,c_21044]) ).
tcf(c_46115,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_45909,c_7320]) ).
tcf(c_46142,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45403,c_34457]) ).
tcf(c_46144,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_34457,c_16658]) ).
tcf(c_46145,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_34457,c_105]) ).
tcf(c_46155,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_34457,c_7304]) ).
tcf(c_46177,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_45403,c_34531]) ).
tcf(c_46178,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_34531]) ).
tcf(c_46179,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_34531]) ).
tcf(c_46183,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_34531]) ).
tcf(c_46184,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_34531]) ).
tcf(c_46201,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_34531,c_647]) ).
tcf(c_46202,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_34531,c_645]) ).
tcf(c_46203,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34531,c_644]) ).
tcf(c_46204,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34531,c_16658]) ).
tcf(c_46206,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34531,c_30654]) ).
tcf(c_46207,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34531,c_29583]) ).
tcf(c_46208,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34531,c_29526]) ).
tcf(c_46209,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34531,c_29452]) ).
tcf(c_46211,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34531,c_29155]) ).
tcf(c_46213,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34531,c_28930]) ).
tcf(c_46214,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34531,c_28791]) ).
tcf(c_46215,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_17,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_34531,c_7304]) ).
tcf(c_46335,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26130,c_35014]) ).
tcf(c_46336,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26127,c_35014]) ).
tcf(c_46337,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26125,c_35014]) ).
tcf(c_46338,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25304,c_35014]) ).
tcf(c_46339,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25301,c_35014]) ).
tcf(c_46340,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25299,c_35014]) ).
tcf(c_46341,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_21301,c_35014]) ).
tcf(c_46342,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_21298,c_35014]) ).
tcf(c_46343,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_21047,c_35014]) ).
tcf(c_46344,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_21044,c_35014]) ).
tcf(c_46348,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_7001,c_35014]) ).
tcf(c_46351,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6580,c_35014]) ).
tcf(c_46352,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6577,c_35014]) ).
tcf(c_46354,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5863,c_35014]) ).
tcf(c_46356,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5744,c_35014]) ).
tcf(c_46358,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5257,c_35014]) ).
tcf(c_46359,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_35014]) ).
tcf(c_46360,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_35014]) ).
tcf(c_46364,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_35014]) ).
tcf(c_46365,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_35014]) ).
tcf(c_46382,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_35014,c_647]) ).
tcf(c_46383,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_35014,c_645]) ).
tcf(c_46384,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35014,c_644]) ).
tcf(c_46385,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_29),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35014,c_16658]) ).
tcf(c_46387,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35014,c_27711]) ).
tcf(c_46448,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_46384,c_28387]) ).
tcf(c_46453,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_46383,c_28387]) ).
tcf(c_46458,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_46382,c_28387]) ).
tcf(c_46527,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45412,c_45689]) ).
tcf(c_46538,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_45689,c_14259]) ).
tcf(c_46539,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_45689,c_2901]) ).
tcf(c_46542,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45689,c_2914]) ).
tcf(c_46544,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_45689,c_639]) ).
tcf(c_46598,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45692,c_28672]) ).
tcf(c_46599,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45692,c_28669]) ).
tcf(c_46606,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_45692,c_14259]) ).
tcf(c_46607,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_45692,c_2901]) ).
tcf(c_46610,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45692,c_2914]) ).
tcf(c_46611,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_45692,c_1262]) ).
tcf(c_46612,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_45692,c_639]) ).
tcf(c_46613,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45692,c_629]) ).
tcf(c_46658,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_35014]) ).
tcf(c_46659,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_34531]) ).
tcf(c_46664,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_46211,c_2792]) ).
tcf(c_46665,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_46211,c_3768]) ).
tcf(c_46666,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( identity != iPr_def_28 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_46211,c_35960]) ).
tcf(c_46671,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_46211,c_31378]) ).
tcf(c_46672,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_20777]) ).
tcf(c_46674,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_20129]) ).
tcf(c_46675,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_19788]) ).
tcf(c_46684,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_46211,c_16676]) ).
tcf(c_46687,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_5762]) ).
tcf(c_46690,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_5273]) ).
tcf(c_46693,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_4477]) ).
tcf(c_46695,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_4227]) ).
tcf(c_46696,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_3507]) ).
tcf(c_46697,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_3396]) ).
tcf(c_46698,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_14575]) ).
tcf(c_46699,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_28,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_46211,c_2901]) ).
tcf(c_46700,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_11846]) ).
tcf(c_46701,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_46211,c_2900]) ).
tcf(c_46702,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_46211,c_2898]) ).
tcf(c_46703,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_46211,c_2896]) ).
tcf(c_46704,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_46211,c_2894]) ).
tcf(c_46705,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_2241]) ).
tcf(c_46706,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_2173]) ).
tcf(c_46707,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_2077]) ).
tcf(c_46708,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1996]) ).
tcf(c_46709,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_46211,c_1950]) ).
tcf(c_46710,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1885]) ).
tcf(c_46712,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_46211,c_1798]) ).
tcf(c_46713,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1720]) ).
tcf(c_46715,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1650]) ).
tcf(c_46716,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1586]) ).
tcf(c_46717,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1541]) ).
tcf(c_46718,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_46211,c_1497]) ).
tcf(c_46719,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1448]) ).
tcf(c_46720,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_46211,c_1389]) ).
tcf(c_46721,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1343]) ).
tcf(c_46722,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1305]) ).
tcf(c_46723,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1272]) ).
tcf(c_46726,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_46211,c_1194]) ).
tcf(c_46727,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_46211,c_1193]) ).
tcf(c_46728,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1167]) ).
tcf(c_46729,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_1135]) ).
tcf(c_46733,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_46211,c_2234]) ).
tcf(c_46734,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_46211,c_2229]) ).
tcf(c_46735,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_46211,c_2072]) ).
tcf(c_46736,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_46211,c_2067]) ).
tcf(c_46737,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_46211,c_1713]) ).
tcf(c_46738,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_46211,c_1581]) ).
tcf(c_46739,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_46211,c_647]) ).
tcf(c_46740,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_46211,c_645]) ).
tcf(c_46742,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_1075]) ).
tcf(c_46744,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_1040]) ).
tcf(c_46745,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_1032]) ).
tcf(c_46747,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_46211,c_644]) ).
tcf(c_46748,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_640]) ).
tcf(c_46749,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_46211,c_639]) ).
tcf(c_46750,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_46211,c_636]) ).
tcf(c_46751,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_46211,c_632]) ).
tcf(c_46753,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46211,c_627]) ).
tcf(c_47102,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_46527,c_38801]) ).
tcf(c_47104,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_46527,c_37634]) ).
tcf(c_47107,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_46527,c_36518]) ).
tcf(c_47109,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_46527,c_34875]) ).
tcf(c_47113,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_20355]) ).
tcf(c_47117,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_18900]) ).
tcf(c_47118,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_18301]) ).
tcf(c_47125,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_3305]) ).
tcf(c_47126,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_3247]) ).
tcf(c_47127,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_3194]) ).
tcf(c_47128,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_3100]) ).
tcf(c_47129,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_3023]) ).
tcf(c_47130,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_46527,c_13499]) ).
tcf(c_47131,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_46527,c_2900]) ).
tcf(c_47132,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_2857]) ).
tcf(c_47214,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_46211,c_7950]) ).
tcf(c_47215,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_44501,c_7950]) ).
tcf(c_47216,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_31378,c_7950]) ).
tcf(c_47217,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19642,c_7950]) ).
tcf(c_47218,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_18691,c_7950]) ).
tcf(c_47219,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_18105,c_7950]) ).
tcf(c_47220,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_14575,c_7950]) ).
tcf(c_47221,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_11846,c_7950]) ).
tcf(c_47230,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1088,c_7950]) ).
tcf(c_47231,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1075,c_7950]) ).
tcf(c_47232,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1074,c_7950]) ).
tcf(c_47233,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1040,c_7950]) ).
tcf(c_47234,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1032,c_7950]) ).
tcf(c_47235,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1020,c_7950]) ).
tcf(c_47238,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_30654,c_7950]) ).
tcf(c_47239,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29583,c_7950]) ).
tcf(c_47240,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29526,c_7950]) ).
tcf(c_47241,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29452,c_7950]) ).
tcf(c_47242,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29371,c_7950]) ).
tcf(c_47243,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29155,c_7950]) ).
tcf(c_47244,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29000,c_7950]) ).
tcf(c_47245,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_28930,c_7950]) ).
tcf(c_47246,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_28791,c_7950]) ).
tcf(c_47247,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_34531,c_7950]) ).
tcf(c_47248,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_34393,c_7950]) ).
tcf(c_47249,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_31683,c_7950]) ).
tcf(c_47250,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_14688,c_7950]) ).
tcf(c_47251,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_21947,c_7950]) ).
tcf(c_47252,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_34457,c_7950]) ).
tcf(c_47253,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_34307,c_7950]) ).
tcf(c_47254,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_33926,c_7950]) ).
tcf(c_47255,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_33816,c_7950]) ).
tcf(c_47256,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_7950]) ).
tcf(c_47257,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_45403,c_7950]) ).
tcf(c_47258,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_7950,c_16658]) ).
tcf(c_47259,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7950,c_105]) ).
tcf(c_47260,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_7950,c_2901]) ).
tcf(c_47261,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_7950,c_2900]) ).
tcf(c_47262,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_7950,c_2898]) ).
tcf(c_47263,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_7950,c_2896]) ).
tcf(c_47266,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_47258,c_16840]) ).
tcf(c_47269,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,multiply(iPr_def_27,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_47263,c_12263]) ).
tcf(c_47272,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,multiply(iPr_def_27,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_47262,c_12873]) ).
tcf(c_47275,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,multiply(iPr_def_27,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_47261,c_13518]) ).
tcf(c_47278,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,multiply(iPr_def_27,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_47260,c_14278]) ).
tcf(c_47943,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26130,c_35087]) ).
tcf(c_47944,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26127,c_35087]) ).
tcf(c_47945,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26125,c_35087]) ).
tcf(c_47946,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25304,c_35087]) ).
tcf(c_47947,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25301,c_35087]) ).
tcf(c_47948,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25299,c_35087]) ).
tcf(c_47959,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6580,c_35087]) ).
tcf(c_47962,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5863,c_35087]) ).
tcf(c_47964,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5744,c_35087]) ).
tcf(c_47966,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5257,c_35087]) ).
tcf(c_47967,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_35087]) ).
tcf(c_47969,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_35087]) ).
tcf(c_47973,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_35087]) ).
tcf(c_47974,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_35087]) ).
tcf(c_47991,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_35087,c_647]) ).
tcf(c_47992,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_35087,c_645]) ).
tcf(c_47993,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35087,c_644]) ).
tcf(c_47994,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_29),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35087,c_16658]) ).
tcf(c_47996,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35087,c_27711]) ).
tcf(c_48039,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_47993,c_28387]) ).
tcf(c_48044,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_47992,c_28387]) ).
tcf(c_48049,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_47991,c_28387]) ).
tcf(c_48099,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45403,c_35141]) ).
tcf(c_48101,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_35141,c_16658]) ).
tcf(c_48102,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_35141,c_105]) ).
tcf(c_48103,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_35141,c_7950]) ).
tcf(c_48113,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_35141,c_7304]) ).
tcf(c_48153,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_45403,c_35286]) ).
tcf(c_48155,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_35286]) ).
tcf(c_48156,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_35286]) ).
tcf(c_48160,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_35286]) ).
tcf(c_48161,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_35286]) ).
tcf(c_48178,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_35286,c_647]) ).
tcf(c_48179,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_35286,c_645]) ).
tcf(c_48180,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35286,c_644]) ).
tcf(c_48181,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35286,c_16658]) ).
tcf(c_48183,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_35286,c_7950]) ).
tcf(c_48184,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35286,c_30654]) ).
tcf(c_48185,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35286,c_29583]) ).
tcf(c_48186,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35286,c_29526]) ).
tcf(c_48187,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35286,c_29452]) ).
tcf(c_48188,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35286,c_29371]) ).
tcf(c_48191,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35286,c_28930]) ).
tcf(c_48192,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35286,c_28791]) ).
tcf(c_48193,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_17,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_35286,c_7304]) ).
tcf(c_48253,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26130,c_36703]) ).
tcf(c_48254,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26127,c_36703]) ).
tcf(c_48255,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26125,c_36703]) ).
tcf(c_48256,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25304,c_36703]) ).
tcf(c_48257,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25301,c_36703]) ).
tcf(c_48258,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25299,c_36703]) ).
tcf(c_48260,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_21298,c_36703]) ).
tcf(c_48262,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_21044,c_36703]) ).
tcf(c_48270,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6577,c_36703]) ).
tcf(c_48272,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5863,c_36703]) ).
tcf(c_48274,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5744,c_36703]) ).
tcf(c_48276,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5257,c_36703]) ).
tcf(c_48277,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_36703]) ).
tcf(c_48278,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_36703]) ).
tcf(c_48279,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_36703]) ).
tcf(c_48283,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_36703]) ).
tcf(c_48284,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_36703]) ).
tcf(c_48301,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_36703,c_647]) ).
tcf(c_48302,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_36703,c_645]) ).
tcf(c_48303,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_36703,c_644]) ).
tcf(c_48304,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_29),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_36703,c_16658]) ).
tcf(c_48306,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_36703,c_27711]) ).
tcf(c_48356,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_48303,c_28387]) ).
tcf(c_48361,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_48302,c_28387]) ).
tcf(c_48366,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_48301,c_28387]) ).
tcf(c_48501,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_46742,c_31686]) ).
tcf(c_48502,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28412]) ).
tcf(c_48503,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28410]) ).
tcf(c_48504,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28408]) ).
tcf(c_48505,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28406]) ).
tcf(c_48506,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28405]) ).
tcf(c_48508,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28399]) ).
tcf(c_48509,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28398]) ).
tcf(c_48510,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28397]) ).
tcf(c_48511,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28391]) ).
tcf(c_48512,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28390]) ).
tcf(c_48513,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_28389]) ).
tcf(c_48514,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46742,c_20129]) ).
tcf(c_48515,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_46742,c_20125]) ).
tcf(c_48519,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_46742,c_14691]) ).
tcf(c_48520,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_46742,c_14053]) ).
tcf(c_48523,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_46742,c_7323]) ).
tcf(c_48525,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46742,c_4477]) ).
tcf(c_48526,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_46742,c_4473]) ).
tcf(c_48527,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46742,c_4227]) ).
tcf(c_48528,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_46742,c_4223]) ).
tcf(c_48529,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46742,c_1720]) ).
tcf(c_48530,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_46742,c_1716]) ).
tcf(c_48531,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46742,c_1650]) ).
tcf(c_48532,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_46742,c_1646]) ).
tcf(c_48533,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46742,c_1586]) ).
tcf(c_48534,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_46742,c_1582]) ).
tcf(c_48535,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46742,c_1541]) ).
tcf(c_48536,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_46742,c_1537]) ).
tcf(c_48537,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_46742,c_1448]) ).
tcf(c_48538,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_46742,c_1444]) ).
tcf(c_48540,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_46742,c_4969]) ).
tcf(c_48542,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_46742,c_4549]) ).
tcf(c_48543,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_46742,c_4463]) ).
tcf(c_48545,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_46742,c_7320]) ).
tcf(c_48548,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_48506,c_29043]) ).
tcf(c_48559,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_48513,c_29043]) ).
tcf(c_48563,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_48512,c_29043]) ).
tcf(c_48567,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_48511,c_29043]) ).
tcf(c_48575,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_48504,c_29043]) ).
tcf(c_48579,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_48503,c_29043]) ).
tcf(c_48583,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_48502,c_29043]) ).
tcf(c_48778,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_36703]) ).
tcf(c_48779,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_35286]) ).
tcf(c_48781,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_48188,c_7950]) ).
tcf(c_48788,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_48188,c_2792]) ).
tcf(c_48789,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_48188,c_3768]) ).
tcf(c_48790,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( identity != iPr_def_28 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_48188,c_35960]) ).
tcf(c_48795,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_48188,c_31378]) ).
tcf(c_48796,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_20777]) ).
tcf(c_48798,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_20129]) ).
tcf(c_48799,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_19788]) ).
tcf(c_48808,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_48188,c_16676]) ).
tcf(c_48811,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_5762]) ).
tcf(c_48814,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_5273]) ).
tcf(c_48817,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_4477]) ).
tcf(c_48819,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_4227]) ).
tcf(c_48820,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_3507]) ).
tcf(c_48821,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_3396]) ).
tcf(c_48822,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_14575]) ).
tcf(c_48823,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_28,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_48188,c_2901]) ).
tcf(c_48824,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_11846]) ).
tcf(c_48825,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_48188,c_2900]) ).
tcf(c_48826,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_48188,c_2898]) ).
tcf(c_48827,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_48188,c_2896]) ).
tcf(c_48828,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_48188,c_2894]) ).
tcf(c_48829,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_2241]) ).
tcf(c_48830,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_2173]) ).
tcf(c_48831,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_2077]) ).
tcf(c_48832,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1996]) ).
tcf(c_48833,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48188,c_1950]) ).
tcf(c_48834,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1885]) ).
tcf(c_48836,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48188,c_1798]) ).
tcf(c_48837,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1720]) ).
tcf(c_48839,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1650]) ).
tcf(c_48840,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1586]) ).
tcf(c_48841,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1541]) ).
tcf(c_48842,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48188,c_1497]) ).
tcf(c_48843,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1448]) ).
tcf(c_48844,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48188,c_1389]) ).
tcf(c_48845,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1343]) ).
tcf(c_48846,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1305]) ).
tcf(c_48847,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1272]) ).
tcf(c_48850,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48188,c_1194]) ).
tcf(c_48851,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48188,c_1193]) ).
tcf(c_48852,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1167]) ).
tcf(c_48853,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_1135]) ).
tcf(c_48857,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48188,c_2234]) ).
tcf(c_48858,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48188,c_2229]) ).
tcf(c_48859,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48188,c_2072]) ).
tcf(c_48860,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48188,c_2067]) ).
tcf(c_48861,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48188,c_1713]) ).
tcf(c_48862,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48188,c_1581]) ).
tcf(c_48863,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_48188,c_647]) ).
tcf(c_48864,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_48188,c_645]) ).
tcf(c_48867,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_1074]) ).
tcf(c_48868,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_1040]) ).
tcf(c_48869,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_1032]) ).
tcf(c_48871,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_48188,c_644]) ).
tcf(c_48872,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_640]) ).
tcf(c_48873,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48188,c_639]) ).
tcf(c_48874,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_48188,c_636]) ).
tcf(c_48875,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48188,c_632]) ).
tcf(c_48877,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48188,c_627]) ).
tcf(c_49141,plain,
! [X0: $i] :
( ( sk_c10 = inverse(X0) )
| ( sk_c10 != inverse(sk_c2) )
| ( inverse(X0) != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_2462]) ).
tcf(c_49142,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c10 )
| ( sk_c10 != inverse(sk_c2) )
| ( inverse(X0) != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_1521]) ).
tcf(c_49143,plain,
( ( inverse(sk_c10) = sk_c10 )
| ( sk_c10 != inverse(sk_c2) )
| ( inverse(sk_c10) != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_49142]) ).
tcf(c_49144,plain,
( ( sk_c10 = inverse(sk_c10) )
| ( sk_c10 != inverse(sk_c2) )
| ( inverse(sk_c10) != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_49141]) ).
tcf(c_49149,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c10 )
| ( sk_c10 != inverse(sk_c4) )
| ( inverse(X0) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_1521]) ).
tcf(c_49150,plain,
( ( inverse(sk_c10) = sk_c10 )
| ( sk_c10 != inverse(sk_c4) )
| ( inverse(sk_c10) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_49149]) ).
tcf(c_49555,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_48540,c_7950]) ).
tcf(c_49556,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48540,c_34531]) ).
tcf(c_49557,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_48540,c_34457]) ).
tcf(c_49560,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_48540,c_33926]) ).
tcf(c_49561,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_48540,c_33816]) ).
tcf(c_49562,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_30652]) ).
tcf(c_49563,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_48540,c_38567]) ).
tcf(c_49564,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_48540,c_38328]) ).
tcf(c_49565,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_48540,c_7677]) ).
tcf(c_49566,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_29581]) ).
tcf(c_49568,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_48540,c_36870]) ).
tcf(c_49569,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_48540,c_7670]) ).
tcf(c_49570,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_29524]) ).
tcf(c_49571,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_29450]) ).
tcf(c_49572,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_48540,c_35287]) ).
tcf(c_49573,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_48540,c_7663]) ).
tcf(c_49574,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_29369]) ).
tcf(c_49575,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48540,c_30654]) ).
tcf(c_49576,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_48540,c_34532]) ).
tcf(c_49578,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_29153]) ).
tcf(c_49580,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_28928]) ).
tcf(c_49581,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_28789]) ).
tcf(c_49583,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48540,c_29583]) ).
tcf(c_49586,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48540,c_29526]) ).
tcf(c_49587,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48540,c_29452]) ).
tcf(c_49589,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48540,c_29155]) ).
tcf(c_49593,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48540,c_28930]) ).
tcf(c_49594,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48540,c_28791]) ).
tcf(c_49606,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_48540,c_7304]) ).
tcf(c_49621,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_48540,c_7301]) ).
tcf(c_49622,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_49578,c_29043]) ).
tcf(c_49625,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_49576,c_29043]) ).
tcf(c_49636,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_49581,c_29043]) ).
tcf(c_49640,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_49580,c_29043]) ).
tcf(c_49646,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_49571,c_29043]) ).
tcf(c_49650,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_49570,c_29043]) ).
tcf(c_49654,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_49568,c_29043]) ).
tcf(c_49658,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_49566,c_29043]) ).
tcf(c_49662,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_49564,c_29043]) ).
tcf(c_49666,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_49563,c_29043]) ).
tcf(c_49670,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_49562,c_29043]) ).
tcf(c_49797,plain,
( ( identity = inverse(sk_c2) )
| ( identity != iPr_def_17 )
| ( inverse(sk_c2) != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_8675]) ).
tcf(c_49845,plain,
( ( sk_c2 = inverse(sk_c2) )
| ( sk_c2 != iPr_def_17 )
| ( inverse(sk_c2) != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_8675]) ).
tcf(c_49873,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48548,c_45689]) ).
tcf(c_49875,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_48548,c_28672]) ).
tcf(c_49876,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_48548,c_28669]) ).
tcf(c_49883,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_48548,c_14259]) ).
tcf(c_49884,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_48548,c_2901]) ).
tcf(c_49887,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_48548,c_2914]) ).
tcf(c_49888,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_48548,c_1262]) ).
tcf(c_49889,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48548,c_639]) ).
tcf(c_49890,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(sk_c1) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48548,c_629]) ).
tcf(c_49891,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_49890,c_641]) ).
tcf(c_49909,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,X0) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_49884,c_2900]) ).
tcf(c_49980,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_49891,c_7323]) ).
tcf(c_50011,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_49891,c_7320]) ).
tcf(c_50034,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_48540,c_36789]) ).
tcf(c_50035,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45403,c_36789]) ).
tcf(c_50036,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_36789,c_16658]) ).
tcf(c_50037,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_36789,c_105]) ).
tcf(c_50038,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_36789,c_7950]) ).
tcf(c_50048,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_36789,c_7304]) ).
tcf(c_50076,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48540,c_36869]) ).
tcf(c_50077,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_45403,c_36869]) ).
tcf(c_50078,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_36869]) ).
tcf(c_50079,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_36869]) ).
tcf(c_50080,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_36869]) ).
tcf(c_50081,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_36869]) ).
tcf(c_50085,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_36869]) ).
tcf(c_50086,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_36869]) ).
tcf(c_50103,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_36869,c_647]) ).
tcf(c_50104,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_36869,c_645]) ).
tcf(c_50105,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_36869,c_644]) ).
tcf(c_50106,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_36869,c_16658]) ).
tcf(c_50108,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_36869,c_7950]) ).
tcf(c_50109,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36869,c_30654]) ).
tcf(c_50110,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36869,c_29583]) ).
tcf(c_50111,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36869,c_29526]) ).
tcf(c_50112,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36869,c_29452]) ).
tcf(c_50116,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36869,c_28930]) ).
tcf(c_50117,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_36869,c_28791]) ).
tcf(c_50118,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_17,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_36869,c_7304]) ).
tcf(c_50194,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_48540,c_36927]) ).
tcf(c_50195,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45403,c_36927]) ).
tcf(c_50196,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_36927,c_16658]) ).
tcf(c_50197,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_36927,c_105]) ).
tcf(c_50198,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_36927,c_7950]) ).
tcf(c_50208,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_36927,c_7304]) ).
tcf(c_50250,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48867,c_31686]) ).
tcf(c_50251,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_48867,c_28412]) ).
tcf(c_50252,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_48867,c_28410]) ).
tcf(c_50253,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_48867,c_28408]) ).
tcf(c_50254,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_48867,c_28406]) ).
tcf(c_50257,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_48867,c_28399]) ).
tcf(c_50258,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_48867,c_28398]) ).
tcf(c_50259,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_48867,c_28397]) ).
tcf(c_50260,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_48867,c_28391]) ).
tcf(c_50261,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_48867,c_28390]) ).
tcf(c_50262,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_48867,c_28389]) ).
tcf(c_50263,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48867,c_20129]) ).
tcf(c_50264,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48867,c_20125]) ).
tcf(c_50268,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48867,c_14691]) ).
tcf(c_50269,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48867,c_14053]) ).
tcf(c_50271,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48867,c_21265]) ).
tcf(c_50272,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_48867,c_7323]) ).
tcf(c_50274,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48867,c_4477]) ).
tcf(c_50275,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48867,c_4473]) ).
tcf(c_50276,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48867,c_4227]) ).
tcf(c_50277,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48867,c_4223]) ).
tcf(c_50278,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48867,c_1720]) ).
tcf(c_50279,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48867,c_1716]) ).
tcf(c_50280,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48867,c_1650]) ).
tcf(c_50281,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48867,c_1646]) ).
tcf(c_50282,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48867,c_1586]) ).
tcf(c_50283,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48867,c_1582]) ).
tcf(c_50284,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48867,c_1541]) ).
tcf(c_50285,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48867,c_1537]) ).
tcf(c_50286,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48867,c_1448]) ).
tcf(c_50287,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48867,c_1444]) ).
tcf(c_50290,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48867,c_4967]) ).
tcf(c_50291,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48867,c_4549]) ).
tcf(c_50292,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48867,c_4463]) ).
tcf(c_50294,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_48867,c_7320]) ).
tcf(c_50297,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_50254,c_29043]) ).
tcf(c_50311,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_50262,c_29043]) ).
tcf(c_50315,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_50261,c_29043]) ).
tcf(c_50319,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_50260,c_29043]) ).
tcf(c_50324,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_50258,c_29043]) ).
tcf(c_50329,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_50253,c_29043]) ).
tcf(c_50333,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_50252,c_29043]) ).
tcf(c_50337,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_50251,c_29043]) ).
tcf(c_50689,plain,
( ( identity = inverse(sk_c4) )
| ( identity != iPr_def_23 )
| ( inverse(sk_c4) != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_9220]) ).
tcf(c_50749,plain,
( ( sk_c4 = inverse(sk_c4) )
| ( sk_c4 != iPr_def_23 )
| ( inverse(sk_c4) != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_9220]) ).
tcf(c_50765,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_49622,c_48548]) ).
tcf(c_50777,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_49622,c_14259]) ).
tcf(c_50778,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_49622,c_2901]) ).
tcf(c_50781,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_49622,c_2914]) ).
tcf(c_50783,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_49622,c_639]) ).
tcf(c_50810,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_49625,c_28672]) ).
tcf(c_50811,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_49625,c_28669]) ).
tcf(c_50818,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_49625,c_14259]) ).
tcf(c_50819,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_49625,c_2901]) ).
tcf(c_50822,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_49625,c_2914]) ).
tcf(c_50823,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_49625,c_1262]) ).
tcf(c_50824,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_49625,c_639]) ).
tcf(c_50825,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_49625,c_629]) ).
tcf(c_50870,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_36869]) ).
tcf(c_50871,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_36703]) ).
tcf(c_50873,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_35087]) ).
tcf(c_50874,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_50112,c_7950]) ).
tcf(c_50875,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_35014]) ).
tcf(c_50881,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_50112,c_2792]) ).
tcf(c_50882,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_50112,c_3768]) ).
tcf(c_50883,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_28 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_50112,c_35960]) ).
tcf(c_50888,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50112,c_31378]) ).
tcf(c_50889,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_20777]) ).
tcf(c_50891,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_20129]) ).
tcf(c_50892,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_19788]) ).
tcf(c_50901,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_50112,c_16676]) ).
tcf(c_50904,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_5762]) ).
tcf(c_50907,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_5273]) ).
tcf(c_50910,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_4477]) ).
tcf(c_50912,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_4227]) ).
tcf(c_50913,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_3507]) ).
tcf(c_50914,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_3396]) ).
tcf(c_50915,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_14575]) ).
tcf(c_50916,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_28,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_50112,c_2901]) ).
tcf(c_50917,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_11846]) ).
tcf(c_50918,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_50112,c_2900]) ).
tcf(c_50919,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_50112,c_2898]) ).
tcf(c_50920,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_50112,c_2896]) ).
tcf(c_50921,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_50112,c_2894]) ).
tcf(c_50922,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_2241]) ).
tcf(c_50923,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_2173]) ).
tcf(c_50924,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_2077]) ).
tcf(c_50925,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1996]) ).
tcf(c_50926,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50112,c_1950]) ).
tcf(c_50927,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1885]) ).
tcf(c_50929,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50112,c_1798]) ).
tcf(c_50930,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1720]) ).
tcf(c_50932,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1650]) ).
tcf(c_50933,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1586]) ).
tcf(c_50934,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1541]) ).
tcf(c_50935,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50112,c_1497]) ).
tcf(c_50936,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1448]) ).
tcf(c_50937,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50112,c_1389]) ).
tcf(c_50938,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1343]) ).
tcf(c_50939,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1305]) ).
tcf(c_50940,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1272]) ).
tcf(c_50943,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50112,c_1194]) ).
tcf(c_50944,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50112,c_1193]) ).
tcf(c_50945,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1167]) ).
tcf(c_50946,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_1135]) ).
tcf(c_50950,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50112,c_2234]) ).
tcf(c_50951,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50112,c_2229]) ).
tcf(c_50952,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50112,c_2072]) ).
tcf(c_50953,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50112,c_2067]) ).
tcf(c_50954,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50112,c_1713]) ).
tcf(c_50955,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50112,c_1581]) ).
tcf(c_50956,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_50112,c_647]) ).
tcf(c_50957,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_50112,c_645]) ).
tcf(c_50961,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_1040]) ).
tcf(c_50962,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_1032]) ).
tcf(c_50964,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_50112,c_644]) ).
tcf(c_50965,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_640]) ).
tcf(c_50966,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50112,c_639]) ).
tcf(c_50967,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50112,c_636]) ).
tcf(c_50968,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50112,c_632]) ).
tcf(c_50970,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50112,c_627]) ).
tcf(c_51299,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48540,c_38327]) ).
tcf(c_51300,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_45403,c_38327]) ).
tcf(c_51301,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_38327]) ).
tcf(c_51302,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_38327]) ).
tcf(c_51303,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_38327]) ).
tcf(c_51304,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_38327]) ).
tcf(c_51305,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_38327]) ).
tcf(c_51309,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_38327]) ).
tcf(c_51310,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_38327]) ).
tcf(c_51327,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_38327,c_647]) ).
tcf(c_51328,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_38327,c_645]) ).
tcf(c_51329,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_38327,c_644]) ).
tcf(c_51330,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_38327,c_16658]) ).
tcf(c_51332,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_38327,c_7950]) ).
tcf(c_51333,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38327,c_30654]) ).
tcf(c_51334,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38327,c_29583]) ).
tcf(c_51335,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38327,c_29526]) ).
tcf(c_51340,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38327,c_28930]) ).
tcf(c_51341,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38327,c_28791]) ).
tcf(c_51342,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_17,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_38327,c_7304]) ).
tcf(c_51875,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26130,c_38418]) ).
tcf(c_51876,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26127,c_38418]) ).
tcf(c_51877,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26125,c_38418]) ).
tcf(c_51878,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25304,c_38418]) ).
tcf(c_51879,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25301,c_38418]) ).
tcf(c_51880,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25299,c_38418]) ).
tcf(c_51894,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5863,c_38418]) ).
tcf(c_51896,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5744,c_38418]) ).
tcf(c_51898,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5257,c_38418]) ).
tcf(c_51899,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_38418]) ).
tcf(c_51903,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_38418]) ).
tcf(c_51907,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_38418]) ).
tcf(c_51908,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_38418]) ).
tcf(c_51925,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_38418,c_647]) ).
tcf(c_51926,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_38418,c_645]) ).
tcf(c_51927,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_38418,c_644]) ).
tcf(c_51928,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_29),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_38418,c_16658]) ).
tcf(c_51930,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_38418,c_27711]) ).
tcf(c_51970,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_51927,c_28387]) ).
tcf(c_51975,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_51926,c_28387]) ).
tcf(c_51980,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_51925,c_28387]) ).
tcf(c_52038,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_48540,c_38471]) ).
tcf(c_52039,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45403,c_38471]) ).
tcf(c_52040,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38471,c_16658]) ).
tcf(c_52041,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_38471,c_105]) ).
tcf(c_52042,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_38471,c_7950]) ).
tcf(c_52052,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_38471,c_7304]) ).
tcf(c_52080,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48540,c_38566]) ).
tcf(c_52081,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_45403,c_38566]) ).
tcf(c_52082,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_38566]) ).
tcf(c_52083,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_38566]) ).
tcf(c_52084,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_38566]) ).
tcf(c_52085,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_38566]) ).
tcf(c_52086,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_38566]) ).
tcf(c_52091,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_38566]) ).
tcf(c_52108,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_38566,c_647]) ).
tcf(c_52109,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_38566,c_645]) ).
tcf(c_52110,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_38566,c_644]) ).
tcf(c_52111,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_38566,c_16658]) ).
tcf(c_52113,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_38566,c_7950]) ).
tcf(c_52114,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38566,c_30654]) ).
tcf(c_52115,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38566,c_29583]) ).
tcf(c_52121,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38566,c_28930]) ).
tcf(c_52122,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38566,c_28791]) ).
tcf(c_52123,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_17,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_38566,c_7304]) ).
tcf(c_52242,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50290,c_38566]) ).
tcf(c_52243,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50290,c_38471]) ).
tcf(c_52244,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50290,c_38327]) ).
tcf(c_52245,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50290,c_36927]) ).
tcf(c_52246,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50290,c_36869]) ).
tcf(c_52247,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50290,c_36789]) ).
tcf(c_52248,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50290,c_35286]) ).
tcf(c_52249,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50290,c_35141]) ).
tcf(c_52250,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_50290,c_7950]) ).
tcf(c_52255,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50290,c_33926]) ).
tcf(c_52256,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50290,c_33816]) ).
tcf(c_52257,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50290,c_30652]) ).
tcf(c_52258,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_50290,c_38567]) ).
tcf(c_52259,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_50290,c_38328]) ).
tcf(c_52260,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50290,c_7677]) ).
tcf(c_52261,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50290,c_29581]) ).
tcf(c_52263,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_50290,c_36870]) ).
tcf(c_52264,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50290,c_7670]) ).
tcf(c_52265,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50290,c_29524]) ).
tcf(c_52266,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50290,c_29450]) ).
tcf(c_52267,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_50290,c_35287]) ).
tcf(c_52268,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50290,c_7663]) ).
tcf(c_52269,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50290,c_29369]) ).
tcf(c_52270,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_50290,c_30654]) ).
tcf(c_52275,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50290,c_28928]) ).
tcf(c_52276,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50290,c_28789]) ).
tcf(c_52278,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_50290,c_29583]) ).
tcf(c_52281,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_50290,c_29526]) ).
tcf(c_52282,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_50290,c_29452]) ).
tcf(c_52283,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_50290,c_29371]) ).
tcf(c_52288,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_50290,c_28930]) ).
tcf(c_52289,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_50290,c_28791]) ).
tcf(c_52301,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_50290,c_7304]) ).
tcf(c_52316,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50290,c_7301]) ).
tcf(c_52317,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_52269,c_29043]) ).
tcf(c_52320,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_52267,c_29043]) ).
tcf(c_52331,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_52276,c_29043]) ).
tcf(c_52335,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_52275,c_29043]) ).
tcf(c_52339,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_52266,c_29043]) ).
tcf(c_52343,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_52265,c_29043]) ).
tcf(c_52347,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_52263,c_29043]) ).
tcf(c_52351,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_52261,c_29043]) ).
tcf(c_52355,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_52259,c_29043]) ).
tcf(c_52359,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_52258,c_29043]) ).
tcf(c_52363,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_52257,c_29043]) ).
tcf(c_52572,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50297,c_45689]) ).
tcf(c_52574,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50297,c_28672]) ).
tcf(c_52575,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50297,c_28669]) ).
tcf(c_52582,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_50297,c_14259]) ).
tcf(c_52583,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_50297,c_2901]) ).
tcf(c_52586,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50297,c_2914]) ).
tcf(c_52587,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_50297,c_1262]) ).
tcf(c_52588,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50297,c_639]) ).
tcf(c_52589,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(sk_c1) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50297,c_629]) ).
tcf(c_52590,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_52589,c_641]) ).
tcf(c_52608,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,X0) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_52583,c_2900]) ).
tcf(c_52631,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_50765,c_38801]) ).
tcf(c_52633,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_50765,c_37634]) ).
tcf(c_52642,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_20355]) ).
tcf(c_52646,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_18900]) ).
tcf(c_52647,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_18301]) ).
tcf(c_52655,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_3247]) ).
tcf(c_52657,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_3100]) ).
tcf(c_52658,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_3023]) ).
tcf(c_52659,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_50765,c_13499]) ).
tcf(c_52660,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_50765,c_2900]) ).
tcf(c_52661,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_2857]) ).
tcf(c_52726,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50961,c_31686]) ).
tcf(c_52727,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_50961,c_28412]) ).
tcf(c_52728,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_50961,c_28410]) ).
tcf(c_52729,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_50961,c_28408]) ).
tcf(c_52733,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_50961,c_28399]) ).
tcf(c_52734,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_50961,c_28398]) ).
tcf(c_52735,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_50961,c_28397]) ).
tcf(c_52736,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_50961,c_28391]) ).
tcf(c_52737,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_50961,c_28390]) ).
tcf(c_52738,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_50961,c_28389]) ).
tcf(c_52739,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50961,c_20129]) ).
tcf(c_52740,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50961,c_20125]) ).
tcf(c_52744,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50961,c_14691]) ).
tcf(c_52745,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50961,c_14053]) ).
tcf(c_52748,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_50961,c_7323]) ).
tcf(c_52750,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50961,c_4477]) ).
tcf(c_52751,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50961,c_4473]) ).
tcf(c_52752,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50961,c_4227]) ).
tcf(c_52753,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50961,c_4223]) ).
tcf(c_52754,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50961,c_1720]) ).
tcf(c_52755,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50961,c_1716]) ).
tcf(c_52756,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50961,c_1650]) ).
tcf(c_52757,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50961,c_1646]) ).
tcf(c_52758,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50961,c_1586]) ).
tcf(c_52759,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50961,c_1582]) ).
tcf(c_52760,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50961,c_1541]) ).
tcf(c_52761,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50961,c_1537]) ).
tcf(c_52762,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50961,c_1448]) ).
tcf(c_52763,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50961,c_1444]) ).
tcf(c_52767,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50961,c_4549]) ).
tcf(c_52768,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50961,c_4463]) ).
tcf(c_52770,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50961,c_7320]) ).
tcf(c_52773,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_52729,c_29043]) ).
tcf(c_52781,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_52738,c_29043]) ).
tcf(c_52785,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_52737,c_29043]) ).
tcf(c_52789,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_52736,c_29043]) ).
tcf(c_52796,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_52728,c_29043]) ).
tcf(c_52800,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_52727,c_29043]) ).
tcf(c_53052,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7961,c_3771]) ).
tcf(c_53054,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7961,c_36104]) ).
tcf(c_53055,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7961,c_35440]) ).
tcf(c_53058,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7961,c_13389]) ).
tcf(c_53059,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7961,c_13387]) ).
tcf(c_53061,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7961,c_13385]) ).
tcf(c_53062,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7961,c_18905]) ).
tcf(c_53064,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7961,c_18306]) ).
tcf(c_53090,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7961,c_3105]) ).
tcf(c_53101,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_7961,c_2895]) ).
tcf(c_53102,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_7961,c_2894]) ).
tcf(c_53124,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_7961,c_646]) ).
tcf(c_53140,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7961,c_638]) ).
tcf(c_53144,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7961,c_627]) ).
tcf(c_53429,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_52590,c_7323]) ).
tcf(c_53431,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_52590,c_21044]) ).
tcf(c_53460,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52590,c_7320]) ).
tcf(c_53517,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26130,c_43896]) ).
tcf(c_53518,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26127,c_43896]) ).
tcf(c_53519,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26125,c_43896]) ).
tcf(c_53520,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25304,c_43896]) ).
tcf(c_53521,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25301,c_43896]) ).
tcf(c_53522,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25299,c_43896]) ).
tcf(c_53538,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5744,c_43896]) ).
tcf(c_53540,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5257,c_43896]) ).
tcf(c_53541,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_43896]) ).
tcf(c_53542,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_43896]) ).
tcf(c_53543,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_43896]) ).
tcf(c_53544,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_43896]) ).
tcf(c_53545,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_43896]) ).
tcf(c_53549,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_14575,c_43896]) ).
tcf(c_53550,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_43896]) ).
tcf(c_53567,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_43896,c_647]) ).
tcf(c_53568,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_43896,c_645]) ).
tcf(c_53569,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_43896,c_644]) ).
tcf(c_53570,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_29),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_43896,c_16658]) ).
tcf(c_53572,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_43896,c_27711]) ).
tcf(c_53611,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_53569,c_28387]) ).
tcf(c_53616,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_53568,c_28387]) ).
tcf(c_53621,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_53567,c_28387]) ).
tcf(c_53641,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26130,c_44042]) ).
tcf(c_53642,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26127,c_44042]) ).
tcf(c_53643,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26125,c_44042]) ).
tcf(c_53644,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25304,c_44042]) ).
tcf(c_53645,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25301,c_44042]) ).
tcf(c_53646,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25299,c_44042]) ).
tcf(c_53664,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5257,c_44042]) ).
tcf(c_53665,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50112,c_44042]) ).
tcf(c_53666,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48188,c_44042]) ).
tcf(c_53667,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46211,c_44042]) ).
tcf(c_53668,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44501,c_44042]) ).
tcf(c_53669,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_31378,c_44042]) ).
tcf(c_53674,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11846,c_44042]) ).
tcf(c_53691,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_44042,c_647]) ).
tcf(c_53692,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_44042,c_645]) ).
tcf(c_53693,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_44042,c_644]) ).
tcf(c_53694,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_29),iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_44042,c_16658]) ).
tcf(c_53696,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_44042,c_27711]) ).
tcf(c_53729,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_53693,c_28387]) ).
tcf(c_53734,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_53692,c_28387]) ).
tcf(c_53739,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_28 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_53691,c_28387]) ).
tcf(c_53760,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50290,c_44108]) ).
tcf(c_53761,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_48540,c_44108]) ).
tcf(c_53762,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45403,c_44108]) ).
tcf(c_53763,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_44108,c_16658]) ).
tcf(c_53764,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_44108,c_105]) ).
tcf(c_53765,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_44108,c_7950]) ).
tcf(c_53775,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_44108,c_7304]) ).
tcf(c_53837,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_51335,c_44042]) ).
tcf(c_53838,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_51335,c_43896]) ).
tcf(c_53839,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_51335,c_38566]) ).
tcf(c_53841,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_51335,c_38327]) ).
tcf(c_53846,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_51335,c_7950]) ).
tcf(c_53853,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_51335,c_2792]) ).
tcf(c_53854,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_51335,c_3768]) ).
tcf(c_53855,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( identity != iPr_def_28 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_51335,c_35960]) ).
tcf(c_53861,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_20777]) ).
tcf(c_53863,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_20129]) ).
tcf(c_53864,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_19788]) ).
tcf(c_53873,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_51335,c_16676]) ).
tcf(c_53876,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_5762]) ).
tcf(c_53879,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_5273]) ).
tcf(c_53882,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_4477]) ).
tcf(c_53884,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_4227]) ).
tcf(c_53885,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_3507]) ).
tcf(c_53886,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_3396]) ).
tcf(c_53887,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_51335,c_14575]) ).
tcf(c_53888,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_28,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_51335,c_2901]) ).
tcf(c_53889,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_51335,c_11846]) ).
tcf(c_53890,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_51335,c_2900]) ).
tcf(c_53891,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_51335,c_2898]) ).
tcf(c_53892,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_51335,c_2896]) ).
tcf(c_53893,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_51335,c_2894]) ).
tcf(c_53894,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_2241]) ).
tcf(c_53895,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_2173]) ).
tcf(c_53896,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_2077]) ).
tcf(c_53897,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1996]) ).
tcf(c_53899,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1885]) ).
tcf(c_53902,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1720]) ).
tcf(c_53904,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1650]) ).
tcf(c_53905,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1586]) ).
tcf(c_53906,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1541]) ).
tcf(c_53908,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1448]) ).
tcf(c_53910,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1343]) ).
tcf(c_53911,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1305]) ).
tcf(c_53912,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1272]) ).
tcf(c_53917,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1167]) ).
tcf(c_53918,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_1135]) ).
tcf(c_53922,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_51335,c_2234]) ).
tcf(c_53923,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_51335,c_2229]) ).
tcf(c_53924,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_51335,c_2072]) ).
tcf(c_53925,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_51335,c_2067]) ).
tcf(c_53926,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_51335,c_1713]) ).
tcf(c_53927,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_51335,c_1581]) ).
tcf(c_53928,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_51335,c_647]) ).
tcf(c_53929,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_51335,c_645]) ).
tcf(c_53934,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_51335,c_1032]) ).
tcf(c_53936,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_51335,c_644]) ).
tcf(c_53937,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_51335,c_640]) ).
tcf(c_53938,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_51335,c_639]) ).
tcf(c_53939,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51335,c_636]) ).
tcf(c_53940,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_51335,c_632]) ).
tcf(c_53942,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51335,c_627]) ).
tcf(c_54356,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_52115,c_44042]) ).
tcf(c_54358,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_52115,c_38566]) ).
tcf(c_54365,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_52115,c_7950]) ).
tcf(c_54372,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_52115,c_2792]) ).
tcf(c_54373,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_52115,c_3768]) ).
tcf(c_54374,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( identity != iPr_def_28 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_52115,c_35960]) ).
tcf(c_54380,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_20777]) ).
tcf(c_54382,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_20129]) ).
tcf(c_54383,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_19788]) ).
tcf(c_54392,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_52115,c_16676]) ).
tcf(c_54398,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_5273]) ).
tcf(c_54403,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_4227]) ).
tcf(c_54405,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_3396]) ).
tcf(c_54407,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_28,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_52115,c_2901]) ).
tcf(c_54408,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_52115,c_11846]) ).
tcf(c_54409,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_52115,c_2900]) ).
tcf(c_54410,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_52115,c_2898]) ).
tcf(c_54411,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_52115,c_2896]) ).
tcf(c_54412,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_52115,c_2894]) ).
tcf(c_54413,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_2241]) ).
tcf(c_54414,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_2173]) ).
tcf(c_54415,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_2077]) ).
tcf(c_54416,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1996]) ).
tcf(c_54418,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1885]) ).
tcf(c_54421,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1720]) ).
tcf(c_54423,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1650]) ).
tcf(c_54424,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1586]) ).
tcf(c_54425,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1541]) ).
tcf(c_54427,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1448]) ).
tcf(c_54429,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1343]) ).
tcf(c_54430,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1305]) ).
tcf(c_54431,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1272]) ).
tcf(c_54436,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1167]) ).
tcf(c_54437,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_1135]) ).
tcf(c_54441,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_52115,c_2234]) ).
tcf(c_54442,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_52115,c_2229]) ).
tcf(c_54443,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_52115,c_2072]) ).
tcf(c_54444,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_52115,c_2067]) ).
tcf(c_54445,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_52115,c_1713]) ).
tcf(c_54446,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_52115,c_1581]) ).
tcf(c_54447,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_52115,c_647]) ).
tcf(c_54448,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_52115,c_645]) ).
tcf(c_54454,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_52115,c_1020]) ).
tcf(c_54455,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_52115,c_644]) ).
tcf(c_54456,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_52115,c_640]) ).
tcf(c_54457,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52115,c_639]) ).
tcf(c_54458,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_52115,c_636]) ).
tcf(c_54459,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52115,c_632]) ).
tcf(c_54461,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52115,c_627]) ).
tcf(c_54764,plain,
! [X0: $i] :
( ( identity = X0 )
| ( identity != inverse(sk_c2) )
| ( X0 != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_2110]) ).
tcf(c_54765,plain,
! [X0: $i] :
( ( X0 = identity )
| ( identity != inverse(sk_c2) )
| ( X0 != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_1681]) ).
tcf(c_54766,plain,
( ( sk_c10 = identity )
| ( identity != inverse(sk_c2) )
| ( sk_c10 != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_54765]) ).
tcf(c_54767,plain,
( ( identity = sk_c10 )
| ( identity != inverse(sk_c2) )
| ( sk_c10 != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_54764]) ).
tcf(c_54805,plain,
! [X0: $i] :
( ( X0 = sk_c2 )
| ( sk_c2 != inverse(sk_c2) )
| ( X0 != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_9766]) ).
tcf(c_54806,plain,
( ( sk_c10 = sk_c2 )
| ( sk_c2 != inverse(sk_c2) )
| ( sk_c10 != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_54805]) ).
tcf(c_54846,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52317,c_50297]) ).
tcf(c_54860,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_52317,c_14259]) ).
tcf(c_54861,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_52317,c_2901]) ).
tcf(c_54864,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_52317,c_2914]) ).
tcf(c_54866,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52317,c_639]) ).
tcf(c_54897,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_52320,c_28672]) ).
tcf(c_54898,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_52320,c_28669]) ).
tcf(c_54905,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_52320,c_14259]) ).
tcf(c_54906,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_52320,c_2901]) ).
tcf(c_54909,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_52320,c_2914]) ).
tcf(c_54910,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_52320,c_1262]) ).
tcf(c_54911,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52320,c_639]) ).
tcf(c_54912,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52320,c_629]) ).
tcf(c_55010,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7965,c_3771]) ).
tcf(c_55012,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7965,c_36104]) ).
tcf(c_55013,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7965,c_35440]) ).
tcf(c_55016,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7965,c_13389]) ).
tcf(c_55017,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7965,c_13387]) ).
tcf(c_55019,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7965,c_13385]) ).
tcf(c_55020,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_18905]) ).
tcf(c_55022,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_18306]) ).
tcf(c_55046,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_3252]) ).
tcf(c_55047,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_3199]) ).
tcf(c_55059,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_7965,c_2895]) ).
tcf(c_55060,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_7965,c_2894]) ).
tcf(c_55082,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_7965,c_646]) ).
tcf(c_55085,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_687]) ).
tcf(c_55086,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_686]) ).
tcf(c_55087,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_684]) ).
tcf(c_55088,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_683]) ).
tcf(c_55089,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_681]) ).
tcf(c_55090,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_677]) ).
tcf(c_55091,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_676]) ).
tcf(c_55092,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_674]) ).
tcf(c_55093,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_673]) ).
tcf(c_55094,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_671]) ).
tcf(c_55095,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_667]) ).
tcf(c_55096,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_666]) ).
tcf(c_55097,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_664]) ).
tcf(c_55098,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7965,c_638]) ).
tcf(c_55099,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_663]) ).
tcf(c_55100,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_661]) ).
tcf(c_55102,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_627]) ).
tcf(c_55534,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_44218,c_16658]) ).
tcf(c_55535,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_44218,c_105]) ).
tcf(c_55540,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_44218,c_7267]) ).
tcf(c_55541,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_44218,c_7554]) ).
tcf(c_55554,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_44757]) ).
tcf(c_55555,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_44757]) ).
tcf(c_55568,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50961,c_44757]) ).
tcf(c_55569,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48867,c_44757]) ).
tcf(c_55570,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_46742,c_44757]) ).
tcf(c_55571,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_44750,c_44757]) ).
tcf(c_55572,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_44757]) ).
tcf(c_55573,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_44757]) ).
tcf(c_55574,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_44757]) ).
tcf(c_55575,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21268,c_44757]) ).
tcf(c_55576,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21265,c_44757]) ).
tcf(c_55578,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5148,c_44757]) ).
tcf(c_55579,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4969,c_44757]) ).
tcf(c_55580,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4967,c_44757]) ).
tcf(c_55581,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4549,c_44757]) ).
tcf(c_55582,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4463,c_44757]) ).
tcf(c_55583,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_44757]) ).
tcf(c_55584,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44757,c_16658]) ).
tcf(c_55640,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52320,c_44758]) ).
tcf(c_55641,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52317,c_44758]) ).
tcf(c_55642,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50297,c_44758]) ).
tcf(c_55643,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_49625,c_44758]) ).
tcf(c_55644,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_49622,c_44758]) ).
tcf(c_55645,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48548,c_44758]) ).
tcf(c_55646,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_45692,c_44758]) ).
tcf(c_55647,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_45689,c_44758]) ).
tcf(c_55648,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_45412,c_44758]) ).
tcf(c_55649,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50961,c_44758]) ).
tcf(c_55650,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48867,c_44758]) ).
tcf(c_55651,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_46742,c_44758]) ).
tcf(c_55653,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_44758]) ).
tcf(c_55654,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_44758]) ).
tcf(c_55655,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_44758]) ).
tcf(c_55656,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21268,c_44758]) ).
tcf(c_55657,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21265,c_44758]) ).
tcf(c_55659,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5148,c_44758]) ).
tcf(c_55660,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4969,c_44758]) ).
tcf(c_55661,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4967,c_44758]) ).
tcf(c_55662,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4549,c_44758]) ).
tcf(c_55663,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4463,c_44758]) ).
tcf(c_55664,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_44758]) ).
tcf(c_55665,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44758,c_16658]) ).
tcf(c_55667,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44758,c_2914]) ).
tcf(c_55675,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_55646,c_7320]) ).
tcf(c_55718,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_55643,c_7320]) ).
tcf(c_55728,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_55640,c_7320]) ).
tcf(c_55740,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26837,c_44759]) ).
tcf(c_55741,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26835,c_44759]) ).
tcf(c_55742,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26833,c_44759]) ).
tcf(c_55743,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21268,c_44759]) ).
tcf(c_55744,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21265,c_44759]) ).
tcf(c_55746,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5148,c_44759]) ).
tcf(c_55747,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4969,c_44759]) ).
tcf(c_55748,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4967,c_44759]) ).
tcf(c_55749,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4549,c_44759]) ).
tcf(c_55750,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4463,c_44759]) ).
tcf(c_55751,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4214,c_44759]) ).
tcf(c_55752,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44759,c_16658]) ).
tcf(c_55754,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44759,c_2919]) ).
tcf(c_55870,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_52767,c_44108]) ).
tcf(c_55871,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_52767,c_38566]) ).
tcf(c_55872,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_52767,c_38471]) ).
tcf(c_55873,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_52767,c_38327]) ).
tcf(c_55874,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_52767,c_36927]) ).
tcf(c_55875,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_52767,c_36869]) ).
tcf(c_55876,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_52767,c_36789]) ).
tcf(c_55879,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_52767,c_7950]) ).
tcf(c_55884,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_52767,c_33926]) ).
tcf(c_55885,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_52767,c_33816]) ).
tcf(c_55886,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52767,c_30652]) ).
tcf(c_55887,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_52767,c_38567]) ).
tcf(c_55888,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_52767,c_38328]) ).
tcf(c_55890,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52767,c_29581]) ).
tcf(c_55892,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_52767,c_36870]) ).
tcf(c_55893,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52767,c_7670]) ).
tcf(c_55894,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52767,c_29524]) ).
tcf(c_55895,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52767,c_29450]) ).
tcf(c_55897,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52767,c_7663]) ).
tcf(c_55899,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_52767,c_30654]) ).
tcf(c_55904,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52767,c_28928]) ).
tcf(c_55905,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52767,c_28789]) ).
tcf(c_55907,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_52767,c_29583]) ).
tcf(c_55910,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_52767,c_29526]) ).
tcf(c_55911,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_52767,c_29452]) ).
tcf(c_55917,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_52767,c_28930]) ).
tcf(c_55918,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_52767,c_28791]) ).
tcf(c_55930,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_52767,c_7304]) ).
tcf(c_55945,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52767,c_7301]) ).
tcf(c_55946,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_55895,c_29043]) ).
tcf(c_55949,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_55892,c_29043]) ).
tcf(c_55960,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_55905,c_29043]) ).
tcf(c_55964,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_55904,c_29043]) ).
tcf(c_55968,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_55894,c_29043]) ).
tcf(c_55972,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_55890,c_29043]) ).
tcf(c_55976,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_55888,c_29043]) ).
tcf(c_55980,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_55887,c_29043]) ).
tcf(c_55984,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_55886,c_29043]) ).
tcf(c_56128,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52773,c_44758]) ).
tcf(c_56130,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52773,c_52317]) ).
tcf(c_56132,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52773,c_49622]) ).
tcf(c_56134,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52773,c_45689]) ).
tcf(c_56136,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_52773,c_28672]) ).
tcf(c_56137,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_52773,c_28669]) ).
tcf(c_56144,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_52773,c_14259]) ).
tcf(c_56145,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_52773,c_2901]) ).
tcf(c_56148,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_52773,c_2914]) ).
tcf(c_56149,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_52773,c_1262]) ).
tcf(c_56151,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(sk_c1) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52773,c_629]) ).
tcf(c_56152,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_56151,c_641]) ).
tcf(c_56175,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,X0) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_56145,c_2900]) ).
tcf(c_56204,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_53887,c_44759]) ).
tcf(c_56205,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53887,c_44758]) ).
tcf(c_56206,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_44757]) ).
tcf(c_56212,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53887,c_28412]) ).
tcf(c_56213,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53887,c_28410]) ).
tcf(c_56221,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53887,c_28391]) ).
tcf(c_56222,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53887,c_28390]) ).
tcf(c_56223,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53887,c_28389]) ).
tcf(c_56224,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_20129]) ).
tcf(c_56225,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53887,c_20125]) ).
tcf(c_56233,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_53887,c_7323]) ).
tcf(c_56235,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_4477]) ).
tcf(c_56236,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53887,c_4473]) ).
tcf(c_56237,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_4227]) ).
tcf(c_56238,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53887,c_4223]) ).
tcf(c_56239,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_1720]) ).
tcf(c_56240,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53887,c_1716]) ).
tcf(c_56241,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_1650]) ).
tcf(c_56242,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53887,c_1646]) ).
tcf(c_56243,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_1586]) ).
tcf(c_56244,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53887,c_1582]) ).
tcf(c_56245,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_1541]) ).
tcf(c_56246,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53887,c_1537]) ).
tcf(c_56247,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_1448]) ).
tcf(c_56248,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53887,c_1444]) ).
tcf(c_56253,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53887,c_4463]) ).
tcf(c_56254,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53887,c_4214]) ).
tcf(c_56255,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53887,c_7320]) ).
tcf(c_56433,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53934,c_44758]) ).
tcf(c_56434,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_53934,c_44757]) ).
tcf(c_56435,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_53934,c_31686]) ).
tcf(c_56436,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53934,c_28412]) ).
tcf(c_56437,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53934,c_28410]) ).
tcf(c_56442,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53934,c_28399]) ).
tcf(c_56443,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53934,c_28398]) ).
tcf(c_56444,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53934,c_28397]) ).
tcf(c_56445,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53934,c_28391]) ).
tcf(c_56446,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53934,c_28390]) ).
tcf(c_56447,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_53934,c_28389]) ).
tcf(c_56448,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53934,c_20129]) ).
tcf(c_56449,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53934,c_20125]) ).
tcf(c_56453,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_53934,c_14691]) ).
tcf(c_56454,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_53934,c_14053]) ).
tcf(c_56457,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_53934,c_7323]) ).
tcf(c_56459,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53934,c_4477]) ).
tcf(c_56460,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53934,c_4473]) ).
tcf(c_56461,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53934,c_4227]) ).
tcf(c_56462,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53934,c_4223]) ).
tcf(c_56463,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53934,c_1720]) ).
tcf(c_56464,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53934,c_1716]) ).
tcf(c_56465,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53934,c_1650]) ).
tcf(c_56466,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53934,c_1646]) ).
tcf(c_56467,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53934,c_1586]) ).
tcf(c_56468,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53934,c_1582]) ).
tcf(c_56469,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53934,c_1541]) ).
tcf(c_56470,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53934,c_1537]) ).
tcf(c_56471,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53934,c_1448]) ).
tcf(c_56472,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_53934,c_1444]) ).
tcf(c_56477,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53934,c_4463]) ).
tcf(c_56479,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53934,c_7320]) ).
tcf(c_56482,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_56437,c_29043]) ).
tcf(c_56493,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_56447,c_29043]) ).
tcf(c_56497,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_56446,c_29043]) ).
tcf(c_56501,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_56445,c_29043]) ).
tcf(c_56508,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_56436,c_29043]) ).
tcf(c_56604,plain,
! [X0: $i] :
( ( identity = X0 )
| ( identity != inverse(sk_c4) )
| ( X0 != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_2110]) ).
tcf(c_56605,plain,
! [X0: $i] :
( ( X0 = identity )
| ( identity != inverse(sk_c4) )
| ( X0 != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_1681]) ).
tcf(c_56606,plain,
( ( sk_c10 = identity )
| ( identity != inverse(sk_c4) )
| ( sk_c10 != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_56605]) ).
tcf(c_56607,plain,
( ( identity = sk_c10 )
| ( identity != inverse(sk_c4) )
| ( sk_c10 != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_56604]) ).
tcf(c_56665,plain,
! [X0: $i] :
( ( X0 = sk_c4 )
| ( sk_c4 != inverse(sk_c4) )
| ( X0 != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_12993]) ).
tcf(c_56666,plain,
( ( sk_c10 = sk_c4 )
| ( sk_c4 != inverse(sk_c4) )
| ( sk_c10 != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_56665]) ).
tcf(c_56762,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7969,c_3771]) ).
tcf(c_56764,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7969,c_36104]) ).
tcf(c_56765,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7969,c_35440]) ).
tcf(c_56768,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7969,c_13389]) ).
tcf(c_56769,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7969,c_13387]) ).
tcf(c_56771,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7969,c_13385]) ).
tcf(c_56772,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7969,c_18905]) ).
tcf(c_56774,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7969,c_18306]) ).
tcf(c_56798,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7969,c_3252]) ).
tcf(c_56811,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_7969,c_2895]) ).
tcf(c_56812,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_7969,c_2894]) ).
tcf(c_56834,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_7969,c_646]) ).
tcf(c_56850,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7969,c_638]) ).
tcf(c_56854,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7969,c_627]) ).
tcf(c_56964,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_56152,c_7323]) ).
tcf(c_56995,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_56152,c_7320]) ).
tcf(c_57024,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_53887,c_44760]) ).
tcf(c_57029,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26837,c_44760]) ).
tcf(c_57030,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26835,c_44760]) ).
tcf(c_57031,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26833,c_44760]) ).
tcf(c_57032,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_21268,c_44760]) ).
tcf(c_57033,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_21265,c_44760]) ).
tcf(c_57035,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_5148,c_44760]) ).
tcf(c_57036,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4969,c_44760]) ).
tcf(c_57037,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4967,c_44760]) ).
tcf(c_57038,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4549,c_44760]) ).
tcf(c_57039,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4463,c_44760]) ).
tcf(c_57040,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4214,c_44760]) ).
tcf(c_57041,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_44760,c_16658]) ).
tcf(c_57043,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_44760,c_2899]) ).
tcf(c_57044,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_44760,c_2897]) ).
tcf(c_57048,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_57044,c_12804]) ).
tcf(c_57051,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_57043,c_13432]) ).
tcf(c_57166,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26837,c_44762]) ).
tcf(c_57167,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26835,c_44762]) ).
tcf(c_57168,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26833,c_44762]) ).
tcf(c_57169,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21268,c_44762]) ).
tcf(c_57170,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21265,c_44762]) ).
tcf(c_57172,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5148,c_44762]) ).
tcf(c_57173,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4969,c_44762]) ).
tcf(c_57174,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4967,c_44762]) ).
tcf(c_57175,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4549,c_44762]) ).
tcf(c_57176,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4463,c_44762]) ).
tcf(c_57177,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4214,c_44762]) ).
tcf(c_57178,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7969,c_44762]) ).
tcf(c_57179,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_44762]) ).
tcf(c_57180,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7961,c_44762]) ).
tcf(c_57241,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_44762,c_7323]) ).
tcf(c_57247,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_57241,c_627]) ).
tcf(c_57445,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52115,c_46544]) ).
tcf(c_57446,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_51335,c_46544]) ).
tcf(c_57447,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50112,c_46544]) ).
tcf(c_57451,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_46544]) ).
tcf(c_57452,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_46544]) ).
tcf(c_57453,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_46544]) ).
tcf(c_57454,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_46544]) ).
tcf(c_57455,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_46544]) ).
tcf(c_57456,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_46544]) ).
tcf(c_57465,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1088,c_46544]) ).
tcf(c_57466,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1075,c_46544]) ).
tcf(c_57467,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1074,c_46544]) ).
tcf(c_57468,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1040,c_46544]) ).
tcf(c_57469,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_46544]) ).
tcf(c_57470,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_46544]) ).
tcf(c_57473,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_46544,c_647]) ).
tcf(c_57474,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_46544,c_645]) ).
tcf(c_57475,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_46544,c_644]) ).
tcf(c_57476,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_46544,c_16658]) ).
tcf(c_57478,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_46544,c_28672]) ).
tcf(c_57526,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_57475,c_29043]) ).
tcf(c_57531,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_57474,c_29043]) ).
tcf(c_57536,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_57473,c_29043]) ).
tcf(c_57758,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54408,c_44760]) ).
tcf(c_57760,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54408,c_44759]) ).
tcf(c_57761,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54408,c_44758]) ).
tcf(c_57762,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_44757]) ).
tcf(c_57768,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54408,c_28412]) ).
tcf(c_57777,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54408,c_28391]) ).
tcf(c_57778,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54408,c_28390]) ).
tcf(c_57779,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54408,c_28389]) ).
tcf(c_57780,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_20129]) ).
tcf(c_57781,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54408,c_20125]) ).
tcf(c_57789,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_54408,c_7323]) ).
tcf(c_57793,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_4227]) ).
tcf(c_57794,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54408,c_4223]) ).
tcf(c_57795,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_1720]) ).
tcf(c_57796,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54408,c_1716]) ).
tcf(c_57797,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_1650]) ).
tcf(c_57798,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54408,c_1646]) ).
tcf(c_57799,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_1586]) ).
tcf(c_57800,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54408,c_1582]) ).
tcf(c_57801,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_1541]) ).
tcf(c_57802,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54408,c_1537]) ).
tcf(c_57803,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_1448]) ).
tcf(c_57804,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54408,c_1444]) ).
tcf(c_57810,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54408,c_4214]) ).
tcf(c_57811,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_54408,c_7320]) ).
tcf(c_57897,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54454,c_44758]) ).
tcf(c_57898,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54454,c_44757]) ).
tcf(c_57899,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54454,c_31686]) ).
tcf(c_57900,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54454,c_28412]) ).
tcf(c_57906,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54454,c_28399]) ).
tcf(c_57907,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54454,c_28398]) ).
tcf(c_57908,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54454,c_28397]) ).
tcf(c_57909,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54454,c_28391]) ).
tcf(c_57910,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54454,c_28390]) ).
tcf(c_57911,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_54454,c_28389]) ).
tcf(c_57912,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54454,c_20129]) ).
tcf(c_57913,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54454,c_20125]) ).
tcf(c_57918,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54454,c_14053]) ).
tcf(c_57921,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_54454,c_7323]) ).
tcf(c_57925,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54454,c_4227]) ).
tcf(c_57926,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54454,c_4223]) ).
tcf(c_57927,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54454,c_1720]) ).
tcf(c_57928,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54454,c_1716]) ).
tcf(c_57929,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54454,c_1650]) ).
tcf(c_57930,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54454,c_1646]) ).
tcf(c_57931,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54454,c_1586]) ).
tcf(c_57932,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54454,c_1582]) ).
tcf(c_57933,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54454,c_1541]) ).
tcf(c_57934,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54454,c_1537]) ).
tcf(c_57935,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54454,c_1448]) ).
tcf(c_57936,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54454,c_1444]) ).
tcf(c_57942,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_54454,c_4214]) ).
tcf(c_57943,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_54454,c_7320]) ).
tcf(c_57946,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_57900,c_29043]) ).
tcf(c_57957,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_57911,c_29043]) ).
tcf(c_57961,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_57910,c_29043]) ).
tcf(c_57965,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_57909,c_29043]) ).
tcf(c_58034,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_44757]) ).
tcf(c_58036,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_54846,c_38801]) ).
tcf(c_58047,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_20355]) ).
tcf(c_58051,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_18900]) ).
tcf(c_58052,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_18301]) ).
tcf(c_58061,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_3194]) ).
tcf(c_58062,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_3100]) ).
tcf(c_58063,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_3023]) ).
tcf(c_58064,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_54846,c_13499]) ).
tcf(c_58065,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_54846,c_2900]) ).
tcf(c_58066,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_2857]) ).
tcf(c_58136,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_55675,c_46544]) ).
tcf(c_58139,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_44042]) ).
tcf(c_58140,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_43896]) ).
tcf(c_58141,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_38566]) ).
tcf(c_58142,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_38418]) ).
tcf(c_58143,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_38327]) ).
tcf(c_58145,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_36869]) ).
tcf(c_58147,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_36703]) ).
tcf(c_58148,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_35286]) ).
tcf(c_58149,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_35087]) ).
tcf(c_58150,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_55675,c_7950]) ).
tcf(c_58152,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_35014]) ).
tcf(c_58153,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_34531]) ).
tcf(c_58155,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_34393]) ).
tcf(c_58159,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_55675,c_2792]) ).
tcf(c_58160,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_55675,c_3768]) ).
tcf(c_58161,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_55675,c_35960]) ).
tcf(c_58166,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_55675,c_31378]) ).
tcf(c_58167,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_20777]) ).
tcf(c_58169,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_20129]) ).
tcf(c_58170,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_19788]) ).
tcf(c_58179,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_55675,c_16676]) ).
tcf(c_58182,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_5762]) ).
tcf(c_58185,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_5273]) ).
tcf(c_58188,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_4477]) ).
tcf(c_58190,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_4227]) ).
tcf(c_58191,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_3507]) ).
tcf(c_58192,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_3396]) ).
tcf(c_58194,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_27,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_55675,c_2901]) ).
tcf(c_58196,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_55675,c_2900]) ).
tcf(c_58197,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_55675,c_2898]) ).
tcf(c_58198,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_55675,c_2896]) ).
tcf(c_58199,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_55675,c_2894]) ).
tcf(c_58200,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_2241]) ).
tcf(c_58201,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_2173]) ).
tcf(c_58202,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_2077]) ).
tcf(c_58203,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1996]) ).
tcf(c_58204,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_55675,c_1950]) ).
tcf(c_58205,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1885]) ).
tcf(c_58207,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_55675,c_1798]) ).
tcf(c_58208,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1720]) ).
tcf(c_58210,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1650]) ).
tcf(c_58211,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1586]) ).
tcf(c_58212,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1541]) ).
tcf(c_58213,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_55675,c_1497]) ).
tcf(c_58214,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1448]) ).
tcf(c_58215,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_55675,c_1389]) ).
tcf(c_58216,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1343]) ).
tcf(c_58217,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1305]) ).
tcf(c_58218,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1272]) ).
tcf(c_58221,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_55675,c_1194]) ).
tcf(c_58222,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_55675,c_1193]) ).
tcf(c_58223,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1167]) ).
tcf(c_58224,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_1135]) ).
tcf(c_58230,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55675,c_2072]) ).
tcf(c_58231,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55675,c_2067]) ).
tcf(c_58233,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55675,c_1581]) ).
tcf(c_58234,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_55675,c_647]) ).
tcf(c_58235,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_55675,c_645]) ).
tcf(c_58242,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_55675,c_644]) ).
tcf(c_58243,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55675,c_640]) ).
tcf(c_58648,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_44762]) ).
tcf(c_58654,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7973,c_3771]) ).
tcf(c_58656,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7973,c_36104]) ).
tcf(c_58657,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7973,c_35440]) ).
tcf(c_58660,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7973,c_13389]) ).
tcf(c_58661,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7973,c_13387]) ).
tcf(c_58663,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7973,c_13385]) ).
tcf(c_58664,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_18905]) ).
tcf(c_58666,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_18306]) ).
tcf(c_58689,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_3310]) ).
tcf(c_58703,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_7973,c_2895]) ).
tcf(c_58704,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_7973,c_2894]) ).
tcf(c_58726,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_7973,c_646]) ).
tcf(c_58729,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_687]) ).
tcf(c_58730,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_686]) ).
tcf(c_58731,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_684]) ).
tcf(c_58732,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_683]) ).
tcf(c_58733,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_681]) ).
tcf(c_58734,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_677]) ).
tcf(c_58735,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_676]) ).
tcf(c_58736,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_674]) ).
tcf(c_58737,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_673]) ).
tcf(c_58738,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_671]) ).
tcf(c_58739,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_667]) ).
tcf(c_58740,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_666]) ).
tcf(c_58741,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_664]) ).
tcf(c_58742,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7973,c_638]) ).
tcf(c_58743,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_663]) ).
tcf(c_58744,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_661]) ).
tcf(c_58746,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7973,c_627]) ).
tcf(c_59000,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_56152,c_46612]) ).
tcf(c_59004,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26130,c_46612]) ).
tcf(c_59005,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26127,c_46612]) ).
tcf(c_59006,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26125,c_46612]) ).
tcf(c_59007,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25304,c_46612]) ).
tcf(c_59008,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25301,c_46612]) ).
tcf(c_59009,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25299,c_46612]) ).
tcf(c_59010,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21301,c_46612]) ).
tcf(c_59011,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21298,c_46612]) ).
tcf(c_59012,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21047,c_46612]) ).
tcf(c_59013,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21044,c_46612]) ).
tcf(c_59016,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_7132,c_46612]) ).
tcf(c_59017,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_7001,c_46612]) ).
tcf(c_59018,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6790,c_46612]) ).
tcf(c_59019,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6787,c_46612]) ).
tcf(c_59020,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6580,c_46612]) ).
tcf(c_59021,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6577,c_46612]) ).
tcf(c_59022,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6085,c_46612]) ).
tcf(c_59023,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5863,c_46612]) ).
tcf(c_59024,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5748,c_46612]) ).
tcf(c_59025,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5744,c_46612]) ).
tcf(c_59026,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5260,c_46612]) ).
tcf(c_59027,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5257,c_46612]) ).
tcf(c_59028,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_55675,c_46612]) ).
tcf(c_59029,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52115,c_46612]) ).
tcf(c_59030,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_51335,c_46612]) ).
tcf(c_59031,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50112,c_46612]) ).
tcf(c_59035,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_46612]) ).
tcf(c_59036,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_46612]) ).
tcf(c_59037,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_46612]) ).
tcf(c_59038,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_46612]) ).
tcf(c_59039,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_46612]) ).
tcf(c_59040,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_46612]) ).
tcf(c_59049,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1088,c_46612]) ).
tcf(c_59050,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1075,c_46612]) ).
tcf(c_59051,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1074,c_46612]) ).
tcf(c_59052,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1040,c_46612]) ).
tcf(c_59053,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_46612]) ).
tcf(c_59054,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_46612]) ).
tcf(c_59057,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_46612,c_647]) ).
tcf(c_59058,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_46612,c_645]) ).
tcf(c_59059,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_46612,c_644]) ).
tcf(c_59060,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_29),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_46612,c_16658]) ).
tcf(c_59068,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_46612,c_27711]) ).
tcf(c_59113,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_59031,c_7320]) ).
tcf(c_59117,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_59030,c_7320]) ).
tcf(c_59121,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_59029,c_7320]) ).
tcf(c_59188,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_59059,c_28387]) ).
tcf(c_59193,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_59058,c_28387]) ).
tcf(c_59198,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_59057,c_28387]) ).
tcf(c_59375,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_46748]) ).
tcf(c_59389,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54454,c_46748]) ).
tcf(c_59390,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_46748]) ).
tcf(c_59391,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_53934,c_46748]) ).
tcf(c_59392,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_46748]) ).
tcf(c_59393,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50961,c_46748]) ).
tcf(c_59395,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_46742,c_46748]) ).
tcf(c_59397,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_46748]) ).
tcf(c_59398,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_46748]) ).
tcf(c_59399,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_46748]) ).
tcf(c_59404,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4969,c_46748]) ).
tcf(c_59406,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4549,c_46748]) ).
tcf(c_59407,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4463,c_46748]) ).
tcf(c_59408,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_46748]) ).
tcf(c_59409,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46748,c_16658]) ).
tcf(c_59475,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52773,c_46749]) ).
tcf(c_59476,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52320,c_46749]) ).
tcf(c_59479,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_49625,c_46749]) ).
tcf(c_59480,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_49622,c_46749]) ).
tcf(c_59481,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48548,c_46749]) ).
tcf(c_59485,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54454,c_46749]) ).
tcf(c_59486,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54408,c_46749]) ).
tcf(c_59487,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53934,c_46749]) ).
tcf(c_59488,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53887,c_46749]) ).
tcf(c_59489,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50961,c_46749]) ).
tcf(c_59490,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48867,c_46749]) ).
tcf(c_59493,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_46749]) ).
tcf(c_59494,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_46749]) ).
tcf(c_59495,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_46749]) ).
tcf(c_59500,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4969,c_46749]) ).
tcf(c_59502,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4549,c_46749]) ).
tcf(c_59503,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4463,c_46749]) ).
tcf(c_59504,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_46749]) ).
tcf(c_59505,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46749,c_16658]) ).
tcf(c_59507,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46749,c_2914]) ).
tcf(c_59515,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_59479,c_7320]) ).
tcf(c_59552,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54408,c_46750]) ).
tcf(c_59554,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_53887,c_46750]) ).
tcf(c_59559,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26837,c_46750]) ).
tcf(c_59560,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26835,c_46750]) ).
tcf(c_59561,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26833,c_46750]) ).
tcf(c_59566,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4969,c_46750]) ).
tcf(c_59568,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4549,c_46750]) ).
tcf(c_59569,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4463,c_46750]) ).
tcf(c_59570,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4214,c_46750]) ).
tcf(c_59571,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46750,c_16658]) ).
tcf(c_59573,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46750,c_2919]) ).
tcf(c_59623,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_55946,c_46749]) ).
tcf(c_59624,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55946,c_52773]) ).
tcf(c_59641,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_55946,c_14259]) ).
tcf(c_59642,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_55946,c_2901]) ).
tcf(c_59645,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_55946,c_2914]) ).
tcf(c_59647,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_55946,c_639]) ).
tcf(c_59697,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_55949,c_46749]) ).
tcf(c_59707,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_55949,c_28672]) ).
tcf(c_59708,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_55949,c_28669]) ).
tcf(c_59715,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_55949,c_14259]) ).
tcf(c_59716,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_55949,c_2901]) ).
tcf(c_59719,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_55949,c_2914]) ).
tcf(c_59720,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_55949,c_1262]) ).
tcf(c_59721,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_55949,c_639]) ).
tcf(c_59722,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55949,c_629]) ).
tcf(c_59738,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_59697,c_7320]) ).
tcf(c_59754,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56253,c_44108]) ).
tcf(c_59756,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_56253,c_38566]) ).
tcf(c_59757,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56253,c_38471]) ).
tcf(c_59758,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_56253,c_38327]) ).
tcf(c_59759,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56253,c_36927]) ).
tcf(c_59765,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_56253,c_7950]) ).
tcf(c_59771,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56253,c_33926]) ).
tcf(c_59772,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56253,c_33816]) ).
tcf(c_59773,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56253,c_30652]) ).
tcf(c_59774,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_56253,c_38567]) ).
tcf(c_59775,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_56253,c_38328]) ).
tcf(c_59777,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56253,c_29581]) ).
tcf(c_59781,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56253,c_29524]) ).
tcf(c_59786,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56253,c_30654]) ).
tcf(c_59791,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56253,c_28928]) ).
tcf(c_59792,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56253,c_28789]) ).
tcf(c_59794,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56253,c_29583]) ).
tcf(c_59797,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56253,c_29526]) ).
tcf(c_59804,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56253,c_28930]) ).
tcf(c_59805,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56253,c_28791]) ).
tcf(c_59817,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_56253,c_7304]) ).
tcf(c_59832,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_56253,c_7301]) ).
tcf(c_59935,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_56477,c_44108]) ).
tcf(c_59936,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_56477,c_38566]) ).
tcf(c_59937,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_56477,c_38471]) ).
tcf(c_59938,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_56477,c_38327]) ).
tcf(c_59939,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_56477,c_36927]) ).
tcf(c_59944,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_56477,c_7950]) ).
tcf(c_59949,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_56477,c_33926]) ).
tcf(c_59950,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_56477,c_33816]) ).
tcf(c_59951,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56477,c_30652]) ).
tcf(c_59952,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_56477,c_38567]) ).
tcf(c_59953,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_56477,c_38328]) ).
tcf(c_59955,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56477,c_29581]) ).
tcf(c_59959,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56477,c_29524]) ).
tcf(c_59964,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56477,c_30654]) ).
tcf(c_59969,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56477,c_28928]) ).
tcf(c_59970,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56477,c_28789]) ).
tcf(c_59972,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56477,c_29583]) ).
tcf(c_59975,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56477,c_29526]) ).
tcf(c_59982,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56477,c_28930]) ).
tcf(c_59983,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56477,c_28791]) ).
tcf(c_59995,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_56477,c_7304]) ).
tcf(c_60010,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_56477,c_7301]) ).
tcf(c_60011,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_59959,c_29043]) ).
tcf(c_60014,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_59953,c_29043]) ).
tcf(c_60025,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_59970,c_29043]) ).
tcf(c_60029,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_59969,c_29043]) ).
tcf(c_60033,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_59955,c_29043]) ).
tcf(c_60037,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_59952,c_29043]) ).
tcf(c_60041,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_59951,c_29043]) ).
tcf(c_60113,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_55675,c_8026]) ).
tcf(c_60114,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_52115,c_8026]) ).
tcf(c_60115,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_51335,c_8026]) ).
tcf(c_60116,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_50112,c_8026]) ).
tcf(c_60117,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_48188,c_8026]) ).
tcf(c_60118,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_46211,c_8026]) ).
tcf(c_60119,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_44501,c_8026]) ).
tcf(c_60120,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_31378,c_8026]) ).
tcf(c_60121,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19642,c_8026]) ).
tcf(c_60122,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_18691,c_8026]) ).
tcf(c_60123,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_18105,c_8026]) ).
tcf(c_60124,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_14575,c_8026]) ).
tcf(c_60125,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_11846,c_8026]) ).
tcf(c_60134,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1088,c_8026]) ).
tcf(c_60135,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1075,c_8026]) ).
tcf(c_60136,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1074,c_8026]) ).
tcf(c_60137,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1040,c_8026]) ).
tcf(c_60138,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1032,c_8026]) ).
tcf(c_60139,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1020,c_8026]) ).
tcf(c_60142,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_30654,c_8026]) ).
tcf(c_60143,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29583,c_8026]) ).
tcf(c_60144,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29526,c_8026]) ).
tcf(c_60145,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29452,c_8026]) ).
tcf(c_60146,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29371,c_8026]) ).
tcf(c_60147,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29155,c_8026]) ).
tcf(c_60148,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_29000,c_8026]) ).
tcf(c_60149,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_28930,c_8026]) ).
tcf(c_60150,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_28791,c_8026]) ).
tcf(c_60151,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_38566,c_8026]) ).
tcf(c_60152,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_38327,c_8026]) ).
tcf(c_60153,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_36869,c_8026]) ).
tcf(c_60154,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_35286,c_8026]) ).
tcf(c_60155,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_34531,c_8026]) ).
tcf(c_60156,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_34393,c_8026]) ).
tcf(c_60157,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_31683,c_8026]) ).
tcf(c_60158,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_14688,c_8026]) ).
tcf(c_60159,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_21947,c_8026]) ).
tcf(c_60160,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_44108,c_8026]) ).
tcf(c_60161,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_38471,c_8026]) ).
tcf(c_60162,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_36927,c_8026]) ).
tcf(c_60163,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_36789,c_8026]) ).
tcf(c_60164,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_35141,c_8026]) ).
tcf(c_60165,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_34457,c_8026]) ).
tcf(c_60166,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_34307,c_8026]) ).
tcf(c_60167,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_33926,c_8026]) ).
tcf(c_60168,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_33816,c_8026]) ).
tcf(c_60169,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8026]) ).
tcf(c_60170,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_56477,c_8026]) ).
tcf(c_60171,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_56253,c_8026]) ).
tcf(c_60172,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_52767,c_8026]) ).
tcf(c_60173,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_50290,c_8026]) ).
tcf(c_60174,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_48540,c_8026]) ).
tcf(c_60175,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_45403,c_8026]) ).
tcf(c_60176,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_8026,c_16658]) ).
tcf(c_60177,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8026,c_105]) ).
tcf(c_60178,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_8026,c_2901]) ).
tcf(c_60179,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_8026,c_2900]) ).
tcf(c_60180,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_8026,c_2898]) ).
tcf(c_60181,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_8026,c_2896]) ).
tcf(c_60184,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_60176,c_16840]) ).
tcf(c_60187,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,multiply(iPr_def_27,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_60181,c_12263]) ).
tcf(c_60190,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,multiply(iPr_def_27,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_60180,c_12873]) ).
tcf(c_60193,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,multiply(iPr_def_27,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_60179,c_13518]) ).
tcf(c_60196,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,multiply(iPr_def_27,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_60178,c_14278]) ).
tcf(c_60522,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54408,c_46751]) ).
tcf(c_60524,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_53887,c_46751]) ).
tcf(c_60529,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26837,c_46751]) ).
tcf(c_60530,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26835,c_46751]) ).
tcf(c_60531,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26833,c_46751]) ).
tcf(c_60536,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4969,c_46751]) ).
tcf(c_60538,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4549,c_46751]) ).
tcf(c_60539,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4463,c_46751]) ).
tcf(c_60540,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4214,c_46751]) ).
tcf(c_60541,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46751,c_16658]) ).
tcf(c_60543,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_46751,c_2899]) ).
tcf(c_60544,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_46751,c_2897]) ).
tcf(c_60548,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_60544,c_12804]) ).
tcf(c_60551,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_60543,c_13432]) ).
tcf(c_60636,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26837,c_46753]) ).
tcf(c_60637,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26835,c_46753]) ).
tcf(c_60638,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26833,c_46753]) ).
tcf(c_60643,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4969,c_46753]) ).
tcf(c_60645,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4549,c_46753]) ).
tcf(c_60646,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4463,c_46753]) ).
tcf(c_60647,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4214,c_46753]) ).
tcf(c_60649,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7969,c_46753]) ).
tcf(c_60651,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7961,c_46753]) ).
tcf(c_60712,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_46753,c_7323]) ).
tcf(c_60718,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_60712,c_627]) ).
tcf(c_60807,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_48872]) ).
tcf(c_60822,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54454,c_48872]) ).
tcf(c_60823,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_48872]) ).
tcf(c_60824,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_53934,c_48872]) ).
tcf(c_60825,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_48872]) ).
tcf(c_60826,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50961,c_48872]) ).
tcf(c_60827,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48867,c_48872]) ).
tcf(c_60830,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_48872]) ).
tcf(c_60831,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_48872]) ).
tcf(c_60832,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_48872]) ).
tcf(c_60834,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21265,c_48872]) ).
tcf(c_60838,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4967,c_48872]) ).
tcf(c_60839,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4549,c_48872]) ).
tcf(c_60840,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4463,c_48872]) ).
tcf(c_60841,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_48872]) ).
tcf(c_60842,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48872,c_16658]) ).
tcf(c_60988,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_55949,c_48873]) ).
tcf(c_60989,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_55946,c_48873]) ).
tcf(c_60990,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52773,c_48873]) ).
tcf(c_60991,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52320,c_48873]) ).
tcf(c_60992,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52317,c_48873]) ).
tcf(c_60993,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50297,c_48873]) ).
tcf(c_61000,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54454,c_48873]) ).
tcf(c_61001,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54408,c_48873]) ).
tcf(c_61002,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53934,c_48873]) ).
tcf(c_61003,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53887,c_48873]) ).
tcf(c_61004,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_50961,c_48873]) ).
tcf(c_61008,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_48873]) ).
tcf(c_61009,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_48873]) ).
tcf(c_61010,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_48873]) ).
tcf(c_61012,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21265,c_48873]) ).
tcf(c_61016,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4967,c_48873]) ).
tcf(c_61017,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4549,c_48873]) ).
tcf(c_61018,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4463,c_48873]) ).
tcf(c_61019,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_48873]) ).
tcf(c_61020,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48873,c_16658]) ).
tcf(c_61022,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48873,c_2914]) ).
tcf(c_61030,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_60991,c_7320]) ).
tcf(c_61066,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_60988,c_7320]) ).
tcf(c_61082,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_56482,c_48873]) ).
tcf(c_61084,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56482,c_55946]) ).
tcf(c_61085,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_56482,c_46749]) ).
tcf(c_61086,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_56482,c_44758]) ).
tcf(c_61088,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56482,c_52317]) ).
tcf(c_61090,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56482,c_49622]) ).
tcf(c_61092,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56482,c_45689]) ).
tcf(c_61094,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56482,c_28672]) ).
tcf(c_61095,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_56482,c_28669]) ).
tcf(c_61102,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_56482,c_14259]) ).
tcf(c_61103,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_56482,c_2901]) ).
tcf(c_61106,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56482,c_2914]) ).
tcf(c_61107,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_56482,c_1262]) ).
tcf(c_61109,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(sk_c1) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56482,c_629]) ).
tcf(c_61110,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_61109,c_641]) ).
tcf(c_61136,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,X0) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_61103,c_2900]) ).
tcf(c_61187,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_57810,c_8026]) ).
tcf(c_61190,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_57810,c_44108]) ).
tcf(c_61192,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_57810,c_38566]) ).
tcf(c_61193,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_57810,c_38471]) ).
tcf(c_61201,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_57810,c_7950]) ).
tcf(c_61207,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_57810,c_33926]) ).
tcf(c_61208,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_57810,c_33816]) ).
tcf(c_61209,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_57810,c_30652]) ).
tcf(c_61210,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_57810,c_38567]) ).
tcf(c_61213,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_57810,c_29581]) ).
tcf(c_61222,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_57810,c_30654]) ).
tcf(c_61227,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_57810,c_28928]) ).
tcf(c_61228,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_57810,c_28789]) ).
tcf(c_61230,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_57810,c_29583]) ).
tcf(c_61240,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_57810,c_28930]) ).
tcf(c_61241,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_57810,c_28791]) ).
tcf(c_61253,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_57810,c_7304]) ).
tcf(c_61268,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_57810,c_7301]) ).
tcf(c_61435,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_57942,c_8026]) ).
tcf(c_61437,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_57942,c_44108]) ).
tcf(c_61438,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_57942,c_38566]) ).
tcf(c_61439,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_57942,c_38471]) ).
tcf(c_61446,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_57942,c_7950]) ).
tcf(c_61451,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_57942,c_33926]) ).
tcf(c_61452,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_57942,c_33816]) ).
tcf(c_61453,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57942,c_30652]) ).
tcf(c_61454,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_57942,c_38567]) ).
tcf(c_61457,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57942,c_29581]) ).
tcf(c_61466,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_57942,c_30654]) ).
tcf(c_61471,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57942,c_28928]) ).
tcf(c_61472,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57942,c_28789]) ).
tcf(c_61474,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_57942,c_29583]) ).
tcf(c_61484,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_57942,c_28930]) ).
tcf(c_61485,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_57942,c_28791]) ).
tcf(c_61497,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_57942,c_7304]) ).
tcf(c_61512,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_57942,c_7301]) ).
tcf(c_61513,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_61457,c_29043]) ).
tcf(c_61516,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_61454,c_29043]) ).
tcf(c_61527,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_61472,c_29043]) ).
tcf(c_61531,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_61471,c_29043]) ).
tcf(c_61535,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_61453,c_29043]) ).
tcf(c_61584,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_57946,c_48873]) ).
tcf(c_61586,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57946,c_55946]) ).
tcf(c_61587,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_57946,c_46749]) ).
tcf(c_61588,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_57946,c_44758]) ).
tcf(c_61590,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57946,c_52317]) ).
tcf(c_61592,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57946,c_49622]) ).
tcf(c_61594,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57946,c_45689]) ).
tcf(c_61596,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57946,c_28672]) ).
tcf(c_61597,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_57946,c_28669]) ).
tcf(c_61604,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_57946,c_14259]) ).
tcf(c_61605,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_57946,c_2901]) ).
tcf(c_61608,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57946,c_2914]) ).
tcf(c_61609,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_57946,c_1262]) ).
tcf(c_61611,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(sk_c1) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57946,c_629]) ).
tcf(c_61612,plain,
( ( iPr_def_17 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_61611,c_641]) ).
tcf(c_61638,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,X0) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_61605,c_2900]) ).
tcf(c_61699,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61110,c_46612]) ).
tcf(c_61722,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_61110,c_7323]) ).
tcf(c_61753,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_61110,c_7320]) ).
tcf(c_61800,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61612,c_46612]) ).
tcf(c_61823,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_61612,c_7323]) ).
tcf(c_61854,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_61612,c_7320]) ).
tcf(c_61870,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54408,c_48874]) ).
tcf(c_61872,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_53887,c_48874]) ).
tcf(c_61877,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26837,c_48874]) ).
tcf(c_61878,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26835,c_48874]) ).
tcf(c_61879,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26833,c_48874]) ).
tcf(c_61881,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21265,c_48874]) ).
tcf(c_61885,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4967,c_48874]) ).
tcf(c_61886,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4549,c_48874]) ).
tcf(c_61887,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4463,c_48874]) ).
tcf(c_61888,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4214,c_48874]) ).
tcf(c_61889,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48874,c_16658]) ).
tcf(c_61891,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48874,c_2919]) ).
tcf(c_61950,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54408,c_48875]) ).
tcf(c_61952,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_53887,c_48875]) ).
tcf(c_61957,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26837,c_48875]) ).
tcf(c_61958,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26835,c_48875]) ).
tcf(c_61959,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26833,c_48875]) ).
tcf(c_61961,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_21265,c_48875]) ).
tcf(c_61965,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4967,c_48875]) ).
tcf(c_61966,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4549,c_48875]) ).
tcf(c_61967,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4463,c_48875]) ).
tcf(c_61968,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4214,c_48875]) ).
tcf(c_61969,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_48875,c_16658]) ).
tcf(c_61971,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_48875,c_2899]) ).
tcf(c_61972,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_48875,c_2897]) ).
tcf(c_61976,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_61972,c_12804]) ).
tcf(c_61979,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_61971,c_13432]) ).
tcf(c_62097,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_59515,c_8026]) ).
tcf(c_62098,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_59515,c_46612]) ).
tcf(c_62099,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_59515,c_46544]) ).
tcf(c_62102,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59515,c_44042]) ).
tcf(c_62103,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59515,c_43896]) ).
tcf(c_62104,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59515,c_38566]) ).
tcf(c_62105,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59515,c_38418]) ).
tcf(c_62106,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59515,c_38327]) ).
tcf(c_62108,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59515,c_36869]) ).
tcf(c_62112,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59515,c_35087]) ).
tcf(c_62113,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_59515,c_7950]) ).
tcf(c_62116,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59515,c_34531]) ).
tcf(c_62122,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_59515,c_2792]) ).
tcf(c_62123,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_59515,c_3768]) ).
tcf(c_62124,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_59515,c_35960]) ).
tcf(c_62129,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_59515,c_31378]) ).
tcf(c_62130,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_20777]) ).
tcf(c_62132,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_20129]) ).
tcf(c_62133,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_19788]) ).
tcf(c_62142,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_59515,c_16676]) ).
tcf(c_62145,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_5762]) ).
tcf(c_62148,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_5273]) ).
tcf(c_62151,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_4477]) ).
tcf(c_62153,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_4227]) ).
tcf(c_62154,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_3507]) ).
tcf(c_62155,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_3396]) ).
tcf(c_62157,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_27,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_59515,c_2901]) ).
tcf(c_62159,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_59515,c_2900]) ).
tcf(c_62160,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_59515,c_2898]) ).
tcf(c_62161,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_59515,c_2896]) ).
tcf(c_62162,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_59515,c_2894]) ).
tcf(c_62163,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_2241]) ).
tcf(c_62164,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_2173]) ).
tcf(c_62165,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_2077]) ).
tcf(c_62166,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1996]) ).
tcf(c_62167,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_59515,c_1950]) ).
tcf(c_62168,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1885]) ).
tcf(c_62170,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_59515,c_1798]) ).
tcf(c_62171,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1720]) ).
tcf(c_62173,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1650]) ).
tcf(c_62174,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1586]) ).
tcf(c_62175,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1541]) ).
tcf(c_62176,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_59515,c_1497]) ).
tcf(c_62177,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1448]) ).
tcf(c_62178,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_59515,c_1389]) ).
tcf(c_62179,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1343]) ).
tcf(c_62180,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1305]) ).
tcf(c_62181,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1272]) ).
tcf(c_62184,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_59515,c_1194]) ).
tcf(c_62185,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_59515,c_1193]) ).
tcf(c_62186,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1167]) ).
tcf(c_62187,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_1135]) ).
tcf(c_62193,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_59515,c_2072]) ).
tcf(c_62194,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_59515,c_2067]) ).
tcf(c_62196,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_59515,c_1581]) ).
tcf(c_62197,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_59515,c_647]) ).
tcf(c_62198,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_59515,c_645]) ).
tcf(c_62205,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_59515,c_644]) ).
tcf(c_62206,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59515,c_640]) ).
tcf(c_62475,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_48872]) ).
tcf(c_62476,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_46748]) ).
tcf(c_62477,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_44757]) ).
tcf(c_62490,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_20355]) ).
tcf(c_62494,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_18900]) ).
tcf(c_62495,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_18301]) ).
tcf(c_62505,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_3100]) ).
tcf(c_62506,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_3023]) ).
tcf(c_62507,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_59624,c_13499]) ).
tcf(c_62508,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_59624,c_2900]) ).
tcf(c_62509,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_2857]) ).
tcf(c_62603,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60011,c_57946]) ).
tcf(c_62604,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60011,c_56482]) ).
tcf(c_62605,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_60011,c_48873]) ).
tcf(c_62607,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_60011,c_46749]) ).
tcf(c_62625,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_60011,c_14259]) ).
tcf(c_62626,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_60011,c_2901]) ).
tcf(c_62629,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_60011,c_2914]) ).
tcf(c_62631,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_60011,c_639]) ).
tcf(c_62672,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_60014,c_48873]) ).
tcf(c_62674,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_60014,c_46749]) ).
tcf(c_62684,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_60014,c_28672]) ).
tcf(c_62685,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_60014,c_28669]) ).
tcf(c_62692,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_60014,c_14259]) ).
tcf(c_62693,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_60014,c_2901]) ).
tcf(c_62696,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_60014,c_2914]) ).
tcf(c_62697,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_60014,c_1262]) ).
tcf(c_62698,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_60014,c_639]) ).
tcf(c_62699,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60014,c_629]) ).
tcf(c_62715,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_62674,c_7320]) ).
tcf(c_62719,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_62672,c_7320]) ).
tcf(c_62773,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26837,c_48877]) ).
tcf(c_62774,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26835,c_48877]) ).
tcf(c_62775,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26833,c_48877]) ).
tcf(c_62777,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21265,c_48877]) ).
tcf(c_62781,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4967,c_48877]) ).
tcf(c_62782,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4549,c_48877]) ).
tcf(c_62783,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4463,c_48877]) ).
tcf(c_62784,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4214,c_48877]) ).
tcf(c_62787,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7965,c_48877]) ).
tcf(c_62788,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7961,c_48877]) ).
tcf(c_62849,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_48877,c_7323]) ).
tcf(c_62855,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_62849,c_627]) ).
tcf(c_62898,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_59515,c_50783]) ).
tcf(c_62900,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52115,c_50783]) ).
tcf(c_62906,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_50783]) ).
tcf(c_62907,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_50783]) ).
tcf(c_62908,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_50783]) ).
tcf(c_62909,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_50783]) ).
tcf(c_62910,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_50783]) ).
tcf(c_62911,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_50783]) ).
tcf(c_62921,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1075,c_50783]) ).
tcf(c_62923,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1040,c_50783]) ).
tcf(c_62924,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_50783]) ).
tcf(c_62925,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_50783]) ).
tcf(c_62928,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_50783,c_647]) ).
tcf(c_62929,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_50783,c_645]) ).
tcf(c_62930,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_50783,c_644]) ).
tcf(c_62931,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50783,c_16658]) ).
tcf(c_62933,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50783,c_28672]) ).
tcf(c_62970,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_62930,c_29043]) ).
tcf(c_62975,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_62929,c_29043]) ).
tcf(c_62980,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_62928,c_29043]) ).
tcf(c_63097,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61612,c_50824]) ).
tcf(c_63103,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26130,c_50824]) ).
tcf(c_63104,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26127,c_50824]) ).
tcf(c_63105,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26125,c_50824]) ).
tcf(c_63106,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25304,c_50824]) ).
tcf(c_63107,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25301,c_50824]) ).
tcf(c_63108,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25299,c_50824]) ).
tcf(c_63117,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6790,c_50824]) ).
tcf(c_63119,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6580,c_50824]) ).
tcf(c_63121,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6085,c_50824]) ).
tcf(c_63122,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5863,c_50824]) ).
tcf(c_63123,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5748,c_50824]) ).
tcf(c_63124,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5744,c_50824]) ).
tcf(c_63125,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5260,c_50824]) ).
tcf(c_63126,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5257,c_50824]) ).
tcf(c_63127,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_59515,c_50824]) ).
tcf(c_63129,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52115,c_50824]) ).
tcf(c_63135,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_50824]) ).
tcf(c_63136,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_50824]) ).
tcf(c_63137,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_50824]) ).
tcf(c_63138,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_50824]) ).
tcf(c_63139,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_50824]) ).
tcf(c_63140,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_50824]) ).
tcf(c_63150,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1075,c_50824]) ).
tcf(c_63152,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1040,c_50824]) ).
tcf(c_63153,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_50824]) ).
tcf(c_63154,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_50824]) ).
tcf(c_63157,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_50824,c_647]) ).
tcf(c_63158,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_50824,c_645]) ).
tcf(c_63159,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_50824,c_644]) ).
tcf(c_63160,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_29),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50824,c_16658]) ).
tcf(c_63168,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50824,c_27711]) ).
tcf(c_63207,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_63129,c_7320]) ).
tcf(c_63250,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_63159,c_28387]) ).
tcf(c_63255,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_63158,c_28387]) ).
tcf(c_63260,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_63157,c_28387]) ).
tcf(c_63308,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_50965]) ).
tcf(c_63324,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54454,c_50965]) ).
tcf(c_63325,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_50965]) ).
tcf(c_63326,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_53934,c_50965]) ).
tcf(c_63327,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_50965]) ).
tcf(c_63328,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50961,c_50965]) ).
tcf(c_63332,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_50965]) ).
tcf(c_63333,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_50965]) ).
tcf(c_63334,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_50965]) ).
tcf(c_63341,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4549,c_50965]) ).
tcf(c_63342,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4463,c_50965]) ).
tcf(c_63343,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_50965]) ).
tcf(c_63344,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50965,c_16658]) ).
tcf(c_63410,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61030,c_50783]) ).
tcf(c_63411,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_61030,c_8026]) ).
tcf(c_63412,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61030,c_46612]) ).
tcf(c_63413,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61030,c_46544]) ).
tcf(c_63416,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_61030,c_44042]) ).
tcf(c_63417,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_61030,c_43896]) ).
tcf(c_63418,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_61030,c_38566]) ).
tcf(c_63419,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_61030,c_38418]) ).
tcf(c_63420,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_61030,c_38327]) ).
tcf(c_63422,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_61030,c_36869]) ).
tcf(c_63424,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_61030,c_36703]) ).
tcf(c_63425,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_61030,c_35286]) ).
tcf(c_63427,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_61030,c_7950]) ).
tcf(c_63436,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_61030,c_2792]) ).
tcf(c_63437,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_61030,c_3768]) ).
tcf(c_63438,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_61030,c_35960]) ).
tcf(c_63443,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_61030,c_31378]) ).
tcf(c_63444,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_20777]) ).
tcf(c_63446,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_20129]) ).
tcf(c_63447,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_19788]) ).
tcf(c_63456,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_61030,c_16676]) ).
tcf(c_63459,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_5762]) ).
tcf(c_63462,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_5273]) ).
tcf(c_63465,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_4477]) ).
tcf(c_63467,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_4227]) ).
tcf(c_63468,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_3507]) ).
tcf(c_63469,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_3396]) ).
tcf(c_63471,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_27,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_61030,c_2901]) ).
tcf(c_63473,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_61030,c_2900]) ).
tcf(c_63474,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_61030,c_2898]) ).
tcf(c_63475,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_61030,c_2896]) ).
tcf(c_63476,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_61030,c_2894]) ).
tcf(c_63477,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_2241]) ).
tcf(c_63478,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_2173]) ).
tcf(c_63479,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_2077]) ).
tcf(c_63480,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1996]) ).
tcf(c_63481,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61030,c_1950]) ).
tcf(c_63482,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1885]) ).
tcf(c_63484,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61030,c_1798]) ).
tcf(c_63485,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1720]) ).
tcf(c_63487,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1650]) ).
tcf(c_63488,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1586]) ).
tcf(c_63489,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1541]) ).
tcf(c_63490,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61030,c_1497]) ).
tcf(c_63491,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1448]) ).
tcf(c_63492,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61030,c_1389]) ).
tcf(c_63493,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1343]) ).
tcf(c_63494,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1305]) ).
tcf(c_63495,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1272]) ).
tcf(c_63498,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61030,c_1194]) ).
tcf(c_63499,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61030,c_1193]) ).
tcf(c_63500,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1167]) ).
tcf(c_63501,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61030,c_1135]) ).
tcf(c_63507,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_61030,c_2072]) ).
tcf(c_63508,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_61030,c_2067]) ).
tcf(c_63510,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_61030,c_1581]) ).
tcf(c_63511,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_61030,c_647]) ).
tcf(c_63512,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_61030,c_645]) ).
tcf(c_63519,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_61030,c_644]) ).
tcf(c_63520,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_61030,c_640]) ).
tcf(c_63804,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_61513,c_57946]) ).
tcf(c_63806,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61513,c_48873]) ).
tcf(c_63826,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_27,sk_c11) ) ),
inference(superposition,[status(thm)],[c_61513,c_14259]) ).
tcf(c_63827,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_61513,c_2901]) ).
tcf(c_63830,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_61513,c_2914]) ).
tcf(c_63832,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61513,c_639]) ).
tcf(c_63869,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61516,c_48873]) ).
tcf(c_63881,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_61516,c_28672]) ).
tcf(c_63882,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_61516,c_28669]) ).
tcf(c_63889,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_61516,c_14259]) ).
tcf(c_63890,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_61516,c_2901]) ).
tcf(c_63893,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_61516,c_2914]) ).
tcf(c_63894,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_61516,c_1262]) ).
tcf(c_63895,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61516,c_639]) ).
tcf(c_63896,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_61516,c_629]) ).
tcf(c_63912,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_63869,c_7320]) ).
tcf(c_63943,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_50965]) ).
tcf(c_63944,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_48872]) ).
tcf(c_63945,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_46748]) ).
tcf(c_63946,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_44757]) ).
tcf(c_63959,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_20355]) ).
tcf(c_63963,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_18900]) ).
tcf(c_63964,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_18301]) ).
tcf(c_63975,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_3023]) ).
tcf(c_63976,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_62604,c_13499]) ).
tcf(c_63977,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_62604,c_2900]) ).
tcf(c_63978,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_2857]) ).
tcf(c_64034,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_23 )
| ( iPr_def_23 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_64035,plain,
( ( sk_c10 = iPr_def_23 )
| ( iPr_def_23 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_64034]) ).
tcf(c_64122,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8037,c_7961]) ).
tcf(c_64230,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61516,c_50966]) ).
tcf(c_64231,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61513,c_50966]) ).
tcf(c_64232,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_60014,c_50966]) ).
tcf(c_64233,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_60011,c_50966]) ).
tcf(c_64234,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_57946,c_50966]) ).
tcf(c_64235,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_56482,c_50966]) ).
tcf(c_64236,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_55949,c_50966]) ).
tcf(c_64237,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_55946,c_50966]) ).
tcf(c_64238,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_52773,c_50966]) ).
tcf(c_64248,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54454,c_50966]) ).
tcf(c_64249,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54408,c_50966]) ).
tcf(c_64250,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53934,c_50966]) ).
tcf(c_64251,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_53887,c_50966]) ).
tcf(c_64256,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_50966]) ).
tcf(c_64257,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_50966]) ).
tcf(c_64258,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_50966]) ).
tcf(c_64265,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4549,c_50966]) ).
tcf(c_64266,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4463,c_50966]) ).
tcf(c_64267,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_50966]) ).
tcf(c_64268,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50966,c_16658]) ).
tcf(c_64270,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50966,c_2914]) ).
tcf(c_64278,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_64236,c_7320]) ).
tcf(c_64310,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_64232,c_7320]) ).
tcf(c_64317,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_64230,c_7320]) ).
tcf(c_64326,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54408,c_50967]) ).
tcf(c_64328,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_53887,c_50967]) ).
tcf(c_64333,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26837,c_50967]) ).
tcf(c_64334,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26835,c_50967]) ).
tcf(c_64335,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26833,c_50967]) ).
tcf(c_64342,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4549,c_50967]) ).
tcf(c_64343,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4463,c_50967]) ).
tcf(c_64344,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4214,c_50967]) ).
tcf(c_64345,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50967,c_16658]) ).
tcf(c_64347,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50967,c_2919]) ).
tcf(c_64397,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54408,c_50968]) ).
tcf(c_64399,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_53887,c_50968]) ).
tcf(c_64404,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26837,c_50968]) ).
tcf(c_64405,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26835,c_50968]) ).
tcf(c_64406,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26833,c_50968]) ).
tcf(c_64413,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4549,c_50968]) ).
tcf(c_64414,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4463,c_50968]) ).
tcf(c_64415,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4214,c_50968]) ).
tcf(c_64416,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50968,c_16658]) ).
tcf(c_64418,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_50968,c_2899]) ).
tcf(c_64419,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_50968,c_2897]) ).
tcf(c_64423,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_64419,c_12804]) ).
tcf(c_64426,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_64418,c_13432]) ).
tcf(c_64649,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26837,c_50970]) ).
tcf(c_64650,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26835,c_50970]) ).
tcf(c_64651,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26833,c_50970]) ).
tcf(c_64658,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4549,c_50970]) ).
tcf(c_64659,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4463,c_50970]) ).
tcf(c_64660,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4214,c_50970]) ).
tcf(c_64725,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_50970,c_7323]) ).
tcf(c_64731,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_64725,c_627]) ).
tcf(c_64785,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_50965]) ).
tcf(c_64786,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_48872]) ).
tcf(c_64787,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_46748]) ).
tcf(c_64788,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_44757]) ).
tcf(c_64801,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_20355]) ).
tcf(c_64805,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_18900]) ).
tcf(c_64806,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_18301]) ).
tcf(c_64818,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_63804,c_13499]) ).
tcf(c_64819,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_63804,c_2900]) ).
tcf(c_64820,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_2857]) ).
tcf(c_64928,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_61030]) ).
tcf(c_64929,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_50824]) ).
tcf(c_64930,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_50783]) ).
tcf(c_64931,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_59515]) ).
tcf(c_64932,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_64122,c_8026]) ).
tcf(c_64933,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_46612]) ).
tcf(c_64934,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_55675]) ).
tcf(c_64935,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_46544]) ).
tcf(c_64941,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_38418]) ).
tcf(c_64943,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_50112]) ).
tcf(c_64944,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_36869]) ).
tcf(c_64949,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_64122,c_7950]) ).
tcf(c_64958,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64122,c_2792]) ).
tcf(c_64959,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64122,c_3768]) ).
tcf(c_64960,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64122,c_35960]) ).
tcf(c_64977,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_64122,c_16676]) ).
tcf(c_64991,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_64122,c_2901]) ).
tcf(c_64992,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_64122,c_2900]) ).
tcf(c_64993,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_64122,c_2898]) ).
tcf(c_64994,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_64122,c_2896]) ).
tcf(c_64995,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_64122,c_2894]) ).
tcf(c_64996,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_2241]) ).
tcf(c_64997,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_2173]) ).
tcf(c_64998,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_2077]) ).
tcf(c_64999,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1996]) ).
tcf(c_65000,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64122,c_1950]) ).
tcf(c_65001,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1885]) ).
tcf(c_65003,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64122,c_1798]) ).
tcf(c_65004,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1720]) ).
tcf(c_65006,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1650]) ).
tcf(c_65007,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1586]) ).
tcf(c_65008,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1541]) ).
tcf(c_65009,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64122,c_1497]) ).
tcf(c_65010,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1448]) ).
tcf(c_65011,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64122,c_1389]) ).
tcf(c_65012,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1343]) ).
tcf(c_65013,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1305]) ).
tcf(c_65014,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1272]) ).
tcf(c_65017,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64122,c_1194]) ).
tcf(c_65018,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64122,c_1193]) ).
tcf(c_65019,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1167]) ).
tcf(c_65020,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_1135]) ).
tcf(c_65030,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64122,c_647]) ).
tcf(c_65031,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64122,c_645]) ).
tcf(c_65035,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_64122,c_1040]) ).
tcf(c_65038,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64122,c_644]) ).
tcf(c_65039,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_640]) ).
tcf(c_65040,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_639]) ).
tcf(c_65041,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64122,c_636]) ).
tcf(c_65042,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64122,c_632]) ).
tcf(c_65043,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_64122,c_657]) ).
tcf(c_65044,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64122,c_627]) ).
tcf(c_65045,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_64122,c_654]) ).
tcf(c_65052,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_65042,c_12854]) ).
tcf(c_65055,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_65041,c_12244]) ).
tcf(c_65058,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_65040,c_14259]) ).
tcf(c_65061,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_65039,c_13499]) ).
tcf(c_65150,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_64994,c_12263]) ).
tcf(c_65153,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_64993,c_12873]) ).
tcf(c_65156,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_64992,c_13518]) ).
tcf(c_65159,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_64991,c_14278]) ).
tcf(c_65423,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64278,c_64122]) ).
tcf(c_65424,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64278,c_50824]) ).
tcf(c_65425,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64278,c_50783]) ).
tcf(c_65426,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_64278,c_8026]) ).
tcf(c_65427,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64278,c_46612]) ).
tcf(c_65428,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64278,c_46544]) ).
tcf(c_65431,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64278,c_44042]) ).
tcf(c_65432,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64278,c_43896]) ).
tcf(c_65433,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64278,c_38566]) ).
tcf(c_65434,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64278,c_38418]) ).
tcf(c_65435,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64278,c_38327]) ).
tcf(c_65437,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64278,c_36869]) ).
tcf(c_65442,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_64278,c_7950]) ).
tcf(c_65451,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64278,c_2792]) ).
tcf(c_65452,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64278,c_3768]) ).
tcf(c_65453,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64278,c_35960]) ).
tcf(c_65459,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_20777]) ).
tcf(c_65461,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_20129]) ).
tcf(c_65462,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_19788]) ).
tcf(c_65471,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_64278,c_16676]) ).
tcf(c_65474,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_5762]) ).
tcf(c_65477,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_5273]) ).
tcf(c_65480,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_4477]) ).
tcf(c_65482,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_4227]) ).
tcf(c_65483,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_3507]) ).
tcf(c_65484,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_3396]) ).
tcf(c_65486,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_27,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_64278,c_2901]) ).
tcf(c_65488,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_64278,c_2900]) ).
tcf(c_65489,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_64278,c_2898]) ).
tcf(c_65490,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_64278,c_2896]) ).
tcf(c_65491,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_64278,c_2894]) ).
tcf(c_65492,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_2241]) ).
tcf(c_65493,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_2173]) ).
tcf(c_65494,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_2077]) ).
tcf(c_65495,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1996]) ).
tcf(c_65496,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64278,c_1950]) ).
tcf(c_65497,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1885]) ).
tcf(c_65499,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64278,c_1798]) ).
tcf(c_65500,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1720]) ).
tcf(c_65502,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1650]) ).
tcf(c_65503,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1586]) ).
tcf(c_65504,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1541]) ).
tcf(c_65505,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64278,c_1497]) ).
tcf(c_65506,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1448]) ).
tcf(c_65507,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64278,c_1389]) ).
tcf(c_65508,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1343]) ).
tcf(c_65509,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1305]) ).
tcf(c_65510,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1272]) ).
tcf(c_65513,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64278,c_1194]) ).
tcf(c_65514,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64278,c_1193]) ).
tcf(c_65515,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1167]) ).
tcf(c_65516,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_1135]) ).
tcf(c_65522,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_64278,c_2072]) ).
tcf(c_65523,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_64278,c_2067]) ).
tcf(c_65525,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_64278,c_1581]) ).
tcf(c_65526,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64278,c_647]) ).
tcf(c_65527,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64278,c_645]) ).
tcf(c_65534,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64278,c_644]) ).
tcf(c_65535,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64278,c_640]) ).
tcf(c_66082,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_50965]) ).
tcf(c_66084,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64943,c_48875]) ).
tcf(c_66085,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64943,c_48874]) ).
tcf(c_66086,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64943,c_48873]) ).
tcf(c_66087,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_48872]) ).
tcf(c_66089,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64943,c_46751]) ).
tcf(c_66090,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64943,c_46750]) ).
tcf(c_66091,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64943,c_46749]) ).
tcf(c_66092,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_46748]) ).
tcf(c_66095,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64943,c_44760]) ).
tcf(c_66097,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64943,c_44759]) ).
tcf(c_66098,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64943,c_44758]) ).
tcf(c_66099,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_44757]) ).
tcf(c_66107,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_64943,c_28408]) ).
tcf(c_66114,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_64943,c_28391]) ).
tcf(c_66115,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_64943,c_28390]) ).
tcf(c_66116,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_64943,c_28389]) ).
tcf(c_66117,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_20129]) ).
tcf(c_66118,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64943,c_20125]) ).
tcf(c_66126,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_64943,c_7323]) ).
tcf(c_66132,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_1720]) ).
tcf(c_66133,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64943,c_1716]) ).
tcf(c_66134,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_1650]) ).
tcf(c_66135,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64943,c_1646]) ).
tcf(c_66136,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_1586]) ).
tcf(c_66137,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64943,c_1582]) ).
tcf(c_66138,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_1541]) ).
tcf(c_66139,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64943,c_1537]) ).
tcf(c_66140,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_1448]) ).
tcf(c_66141,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64943,c_1444]) ).
tcf(c_66148,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_64943,c_7320]) ).
tcf(c_66577,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8041,c_48877]) ).
tcf(c_66578,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8041,c_46753]) ).
tcf(c_66588,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_22)) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8041,c_3771]) ).
tcf(c_66590,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8041,c_36104]) ).
tcf(c_66591,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8041,c_35440]) ).
tcf(c_66594,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_8041,c_13389]) ).
tcf(c_66595,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_8041,c_13387]) ).
tcf(c_66597,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_8041,c_13385]) ).
tcf(c_66598,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8041,c_18905]) ).
tcf(c_66600,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8041,c_18306]) ).
tcf(c_66624,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8041,c_3252]) ).
tcf(c_66625,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8041,c_3199]) ).
tcf(c_66637,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_8041,c_2895]) ).
tcf(c_66638,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_8041,c_2894]) ).
tcf(c_66660,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_8041,c_646]) ).
tcf(c_66676,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8041,c_638]) ).
tcf(c_66680,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8041,c_627]) ).
tcf(c_66755,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_53937]) ).
tcf(c_66756,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_53937]) ).
tcf(c_66774,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54454,c_53937]) ).
tcf(c_66775,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_53937]) ).
tcf(c_66776,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_53934,c_53937]) ).
tcf(c_66777,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53887,c_53937]) ).
tcf(c_66782,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_53937]) ).
tcf(c_66783,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_53937]) ).
tcf(c_66784,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_53937]) ).
tcf(c_66792,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4463,c_53937]) ).
tcf(c_66793,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_53937]) ).
tcf(c_66794,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_53937,c_16658]) ).
tcf(c_66828,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61516,c_53938]) ).
tcf(c_66829,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61513,c_53938]) ).
tcf(c_66830,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_60014,c_53938]) ).
tcf(c_66831,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_60011,c_53938]) ).
tcf(c_66832,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_57946,c_53938]) ).
tcf(c_66833,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_56482,c_53938]) ).
tcf(c_66847,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54454,c_53938]) ).
tcf(c_66848,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_54408,c_53938]) ).
tcf(c_66855,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_53938]) ).
tcf(c_66856,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_53938]) ).
tcf(c_66857,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_53938]) ).
tcf(c_66865,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4463,c_53938]) ).
tcf(c_66866,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_53938]) ).
tcf(c_66867,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_53938,c_16658]) ).
tcf(c_66869,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_53938,c_2914]) ).
tcf(c_66877,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_66830,c_7320]) ).
tcf(c_66901,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_66828,c_7320]) ).
tcf(c_66911,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54408,c_53939]) ).
tcf(c_66918,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26837,c_53939]) ).
tcf(c_66919,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26835,c_53939]) ).
tcf(c_66920,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26833,c_53939]) ).
tcf(c_66928,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4463,c_53939]) ).
tcf(c_66929,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4214,c_53939]) ).
tcf(c_66930,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_53939,c_16658]) ).
tcf(c_66932,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_53939,c_2919]) ).
tcf(c_66972,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54408,c_53940]) ).
tcf(c_66979,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26837,c_53940]) ).
tcf(c_66980,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26835,c_53940]) ).
tcf(c_66981,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26833,c_53940]) ).
tcf(c_66989,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4463,c_53940]) ).
tcf(c_66990,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4214,c_53940]) ).
tcf(c_66991,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_53940,c_16658]) ).
tcf(c_66993,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_53940,c_2899]) ).
tcf(c_66994,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_53940,c_2897]) ).
tcf(c_66998,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_66994,c_12804]) ).
tcf(c_67001,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_66993,c_13432]) ).
tcf(c_67021,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_65035,c_44218]) ).
tcf(c_67022,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_65035,c_31896]) ).
tcf(c_67023,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_65035,c_31898]) ).
tcf(c_67035,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_65035,c_7554]) ).
tcf(c_67036,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65035,c_6113]) ).
tcf(c_67037,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65035,c_6109]) ).
tcf(c_67038,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65035,c_5890]) ).
tcf(c_67039,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65035,c_5886]) ).
tcf(c_67040,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65035,c_4571]) ).
tcf(c_67041,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65035,c_4567]) ).
tcf(c_67045,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_65035,c_7390]) ).
tcf(c_67126,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_65423,c_8026]) ).
tcf(c_67129,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_65423,c_44108]) ).
tcf(c_67135,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_65423,c_36869]) ).
tcf(c_67136,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_65423,c_36789]) ).
tcf(c_67140,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_65423,c_7950]) ).
tcf(c_67146,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_65423,c_33926]) ).
tcf(c_67147,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_65423,c_33816]) ).
tcf(c_67148,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65423,c_30652]) ).
tcf(c_67154,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_65423,c_36870]) ).
tcf(c_67157,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65423,c_29450]) ).
tcf(c_67161,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_65423,c_30654]) ).
tcf(c_67166,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65423,c_28928]) ).
tcf(c_67167,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65423,c_28789]) ).
tcf(c_67173,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_65423,c_29452]) ).
tcf(c_67179,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_65423,c_28930]) ).
tcf(c_67180,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_65423,c_28791]) ).
tcf(c_67192,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_65423,c_7304]) ).
tcf(c_67207,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_65423,c_7301]) ).
tcf(c_67296,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66877,c_50824]) ).
tcf(c_67297,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66877,c_50783]) ).
tcf(c_67298,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_66877,c_8026]) ).
tcf(c_67299,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66877,c_46612]) ).
tcf(c_67300,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66877,c_46544]) ).
tcf(c_67303,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_66877,c_44042]) ).
tcf(c_67304,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_66877,c_43896]) ).
tcf(c_67305,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_66877,c_38566]) ).
tcf(c_67307,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_66877,c_38327]) ).
tcf(c_67314,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_66877,c_7950]) ).
tcf(c_67323,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_66877,c_2792]) ).
tcf(c_67324,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_66877,c_3768]) ).
tcf(c_67325,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_66877,c_35960]) ).
tcf(c_67331,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_20777]) ).
tcf(c_67333,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_20129]) ).
tcf(c_67334,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_19788]) ).
tcf(c_67343,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_66877,c_16676]) ).
tcf(c_67346,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_5762]) ).
tcf(c_67349,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_5273]) ).
tcf(c_67352,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_4477]) ).
tcf(c_67354,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_4227]) ).
tcf(c_67355,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_3507]) ).
tcf(c_67356,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_3396]) ).
tcf(c_67358,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_27,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_66877,c_2901]) ).
tcf(c_67360,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_66877,c_2900]) ).
tcf(c_67361,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_66877,c_2898]) ).
tcf(c_67362,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_66877,c_2896]) ).
tcf(c_67363,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_66877,c_2894]) ).
tcf(c_67364,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_2241]) ).
tcf(c_67365,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_2173]) ).
tcf(c_67366,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_2077]) ).
tcf(c_67367,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1996]) ).
tcf(c_67369,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1885]) ).
tcf(c_67372,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1720]) ).
tcf(c_67374,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1650]) ).
tcf(c_67375,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1586]) ).
tcf(c_67376,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1541]) ).
tcf(c_67378,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1448]) ).
tcf(c_67380,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1343]) ).
tcf(c_67381,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1305]) ).
tcf(c_67382,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1272]) ).
tcf(c_67387,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1167]) ).
tcf(c_67388,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_1135]) ).
tcf(c_67394,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_66877,c_2072]) ).
tcf(c_67395,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_66877,c_2067]) ).
tcf(c_67397,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_66877,c_1581]) ).
tcf(c_67398,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_66877,c_647]) ).
tcf(c_67399,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_66877,c_645]) ).
tcf(c_67406,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_66877,c_644]) ).
tcf(c_67407,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_66877,c_640]) ).
tcf(c_67412,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66877,c_627]) ).
tcf(c_67685,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56213,c_16658]) ).
tcf(c_67686,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56213,c_104]) ).
tcf(c_67687,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_56213,c_643]) ).
tcf(c_67688,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c11) = identity ) ),
inference(light_normalisation,[status(thm)],[c_67686,c_13499]) ).
tcf(c_67691,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_67685,c_13518]) ).
tcf(c_67826,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8045,c_46753]) ).
tcf(c_67836,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_22)) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8045,c_3771]) ).
tcf(c_67838,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8045,c_36104]) ).
tcf(c_67839,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8045,c_35440]) ).
tcf(c_67842,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_8045,c_13389]) ).
tcf(c_67843,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_8045,c_13387]) ).
tcf(c_67845,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_8045,c_13385]) ).
tcf(c_67846,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8045,c_18905]) ).
tcf(c_67848,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8045,c_18306]) ).
tcf(c_67872,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8045,c_3252]) ).
tcf(c_67885,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_8045,c_2895]) ).
tcf(c_67886,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_8045,c_2894]) ).
tcf(c_67908,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_8045,c_646]) ).
tcf(c_67924,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8045,c_638]) ).
tcf(c_67928,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8045,c_627]) ).
tcf(c_68067,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26837,c_53942]) ).
tcf(c_68068,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26835,c_53942]) ).
tcf(c_68069,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26833,c_53942]) ).
tcf(c_68078,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4214,c_53942]) ).
tcf(c_68144,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_53942,c_7323]) ).
tcf(c_68148,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_68144,c_627]) ).
tcf(c_68262,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_54456]) ).
tcf(c_68281,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54454,c_54456]) ).
tcf(c_68282,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54408,c_54456]) ).
tcf(c_68289,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_54456]) ).
tcf(c_68290,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_54456]) ).
tcf(c_68291,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_54456]) ).
tcf(c_68300,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_54456]) ).
tcf(c_68301,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54456,c_16658]) ).
tcf(c_68326,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61516,c_54457]) ).
tcf(c_68327,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61513,c_54457]) ).
tcf(c_68330,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_57946,c_54457]) ).
tcf(c_68353,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_54457]) ).
tcf(c_68354,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_54457]) ).
tcf(c_68355,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_54457]) ).
tcf(c_68364,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4214,c_54457]) ).
tcf(c_68365,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54457,c_16658]) ).
tcf(c_68367,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54457,c_2914]) ).
tcf(c_68375,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_68326,c_7320]) ).
tcf(c_68401,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26837,c_54458]) ).
tcf(c_68402,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26835,c_54458]) ).
tcf(c_68403,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26833,c_54458]) ).
tcf(c_68412,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4214,c_54458]) ).
tcf(c_68413,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54458,c_16658]) ).
tcf(c_68415,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54458,c_2919]) ).
tcf(c_68463,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_50824]) ).
tcf(c_68464,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_50783]) ).
tcf(c_68465,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_68375,c_8026]) ).
tcf(c_68466,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_46612]) ).
tcf(c_68467,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_46544]) ).
tcf(c_68470,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68375,c_44042]) ).
tcf(c_68472,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68375,c_38566]) ).
tcf(c_68481,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_68375,c_7950]) ).
tcf(c_68490,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_68375,c_2792]) ).
tcf(c_68491,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_68375,c_3768]) ).
tcf(c_68492,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_68375,c_35960]) ).
tcf(c_68498,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_20777]) ).
tcf(c_68500,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_20129]) ).
tcf(c_68501,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_19788]) ).
tcf(c_68510,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_68375,c_16676]) ).
tcf(c_68516,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_5273]) ).
tcf(c_68521,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_4227]) ).
tcf(c_68523,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_3396]) ).
tcf(c_68525,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_27,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_68375,c_2901]) ).
tcf(c_68527,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_68375,c_2900]) ).
tcf(c_68528,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_68375,c_2898]) ).
tcf(c_68529,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_68375,c_2896]) ).
tcf(c_68530,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_68375,c_2894]) ).
tcf(c_68531,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_2241]) ).
tcf(c_68532,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_2173]) ).
tcf(c_68533,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_2077]) ).
tcf(c_68534,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1996]) ).
tcf(c_68536,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1885]) ).
tcf(c_68539,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1720]) ).
tcf(c_68541,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1650]) ).
tcf(c_68542,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1586]) ).
tcf(c_68543,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1541]) ).
tcf(c_68545,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1448]) ).
tcf(c_68547,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1343]) ).
tcf(c_68548,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1305]) ).
tcf(c_68549,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1272]) ).
tcf(c_68554,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1167]) ).
tcf(c_68555,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_1135]) ).
tcf(c_68561,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_68375,c_2072]) ).
tcf(c_68562,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_68375,c_2067]) ).
tcf(c_68564,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_68375,c_1581]) ).
tcf(c_68565,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_68375,c_647]) ).
tcf(c_68566,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_68375,c_645]) ).
tcf(c_68573,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_68375,c_644]) ).
tcf(c_68574,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68375,c_640]) ).
tcf(c_68577,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_68375,c_632]) ).
tcf(c_68579,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68375,c_627]) ).
tcf(c_68724,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57768,c_16658]) ).
tcf(c_68725,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_57768,c_104]) ).
tcf(c_68726,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_57768,c_643]) ).
tcf(c_68727,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c11) = identity ) ),
inference(light_normalisation,[status(thm)],[c_68725,c_13499]) ).
tcf(c_68730,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68724,c_13518]) ).
tcf(c_68747,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_59775,c_16658]) ).
tcf(c_68748,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_59775,c_104]) ).
tcf(c_68749,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_59775,c_643]) ).
tcf(c_68771,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_59781,c_16658]) ).
tcf(c_68773,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_59781,c_643]) ).
tcf(c_68774,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_59781,c_59775]) ).
tcf(c_68775,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59781,c_57768]) ).
tcf(c_68776,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59781,c_56213]) ).
tcf(c_68876,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_44762]) ).
tcf(c_68884,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_22)) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8049,c_3771]) ).
tcf(c_68886,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8049,c_36104]) ).
tcf(c_68887,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8049,c_35440]) ).
tcf(c_68890,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_8049,c_13389]) ).
tcf(c_68891,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_8049,c_13387]) ).
tcf(c_68893,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_8049,c_13385]) ).
tcf(c_68894,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_18905]) ).
tcf(c_68896,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_18306]) ).
tcf(c_68919,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_3310]) ).
tcf(c_68933,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_8049,c_2895]) ).
tcf(c_68934,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_8049,c_2894]) ).
tcf(c_68956,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_8049,c_646]) ).
tcf(c_68959,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_687]) ).
tcf(c_68960,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_686]) ).
tcf(c_68961,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_684]) ).
tcf(c_68962,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_683]) ).
tcf(c_68963,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_681]) ).
tcf(c_68964,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_677]) ).
tcf(c_68965,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_676]) ).
tcf(c_68966,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_674]) ).
tcf(c_68967,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_673]) ).
tcf(c_68968,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_671]) ).
tcf(c_68969,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_667]) ).
tcf(c_68970,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_666]) ).
tcf(c_68971,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_664]) ).
tcf(c_68972,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8049,c_638]) ).
tcf(c_68973,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_663]) ).
tcf(c_68974,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_661]) ).
tcf(c_68976,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8049,c_627]) ).
tcf(c_69349,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26837,c_54459]) ).
tcf(c_69350,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26835,c_54459]) ).
tcf(c_69351,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26833,c_54459]) ).
tcf(c_69361,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54459,c_16658]) ).
tcf(c_69363,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_54459,c_2899]) ).
tcf(c_69364,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_54459,c_2897]) ).
tcf(c_69366,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_69364,c_12804]) ).
tcf(c_69369,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_69363,c_13432]) ).
tcf(c_69439,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26837,c_54461]) ).
tcf(c_69440,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26835,c_54461]) ).
tcf(c_69441,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26833,c_54461]) ).
tcf(c_69517,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_54461,c_7323]) ).
tcf(c_69521,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_69517,c_627]) ).
tcf(c_69537,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_54866]) ).
tcf(c_69538,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66877,c_54866]) ).
tcf(c_69539,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64278,c_54866]) ).
tcf(c_69540,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_54866]) ).
tcf(c_69541,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61030,c_54866]) ).
tcf(c_69550,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_54866]) ).
tcf(c_69551,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_54866]) ).
tcf(c_69552,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_54866]) ).
tcf(c_69553,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_54866]) ).
tcf(c_69554,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_54866]) ).
tcf(c_69555,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_54866]) ).
tcf(c_69566,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1074,c_54866]) ).
tcf(c_69567,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1040,c_54866]) ).
tcf(c_69568,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_54866]) ).
tcf(c_69569,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_54866]) ).
tcf(c_69572,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_54866,c_647]) ).
tcf(c_69573,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_54866,c_645]) ).
tcf(c_69574,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_54866,c_644]) ).
tcf(c_69575,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_54866,c_16658]) ).
tcf(c_69577,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_54866,c_28672]) ).
tcf(c_69617,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_69574,c_29043]) ).
tcf(c_69622,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_69573,c_29043]) ).
tcf(c_69627,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_69572,c_29043]) ).
tcf(c_69807,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26130,c_54911]) ).
tcf(c_69808,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26127,c_54911]) ).
tcf(c_69809,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26125,c_54911]) ).
tcf(c_69810,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25304,c_54911]) ).
tcf(c_69811,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25301,c_54911]) ).
tcf(c_69812,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25299,c_54911]) ).
tcf(c_69814,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21298,c_54911]) ).
tcf(c_69816,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_21044,c_54911]) ).
tcf(c_69822,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6787,c_54911]) ).
tcf(c_69824,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6577,c_54911]) ).
tcf(c_69825,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6085,c_54911]) ).
tcf(c_69826,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5863,c_54911]) ).
tcf(c_69827,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5748,c_54911]) ).
tcf(c_69828,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5744,c_54911]) ).
tcf(c_69829,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5260,c_54911]) ).
tcf(c_69830,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5257,c_54911]) ).
tcf(c_69831,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_54911]) ).
tcf(c_69832,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66877,c_54911]) ).
tcf(c_69833,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64278,c_54911]) ).
tcf(c_69834,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_54911]) ).
tcf(c_69835,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61030,c_54911]) ).
tcf(c_69844,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_54911]) ).
tcf(c_69845,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_54911]) ).
tcf(c_69846,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_54911]) ).
tcf(c_69847,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_54911]) ).
tcf(c_69848,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_54911]) ).
tcf(c_69849,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_54911]) ).
tcf(c_69860,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1074,c_54911]) ).
tcf(c_69861,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1040,c_54911]) ).
tcf(c_69862,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_54911]) ).
tcf(c_69863,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_54911]) ).
tcf(c_69866,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_54911,c_647]) ).
tcf(c_69867,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_54911,c_645]) ).
tcf(c_69868,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_54911,c_644]) ).
tcf(c_69869,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_29),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_54911,c_16658]) ).
tcf(c_69877,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_54911,c_27711]) ).
tcf(c_69970,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_69868,c_28387]) ).
tcf(c_69975,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_69867,c_28387]) ).
tcf(c_69980,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_69866,c_28387]) ).
tcf(c_70348,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_17 )
| ( iPr_def_17 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_70349,plain,
( ( sk_c10 = iPr_def_17 )
| ( iPr_def_17 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_70348]) ).
tcf(c_70633,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68774,c_54911]) ).
tcf(c_70634,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68774,c_50824]) ).
tcf(c_70637,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68774,c_46612]) ).
tcf(c_70649,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_68774,c_7670]) ).
tcf(c_70650,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_68774,c_7663]) ).
tcf(c_70664,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_68774,c_7323]) ).
tcf(c_70695,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_68774,c_7320]) ).
tcf(c_70696,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_68774,c_2915]) ).
tcf(c_70697,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_68774,c_1261]) ).
tcf(c_70754,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_54456]) ).
tcf(c_70755,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_53937]) ).
tcf(c_70766,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_68776,c_38868]) ).
tcf(c_70778,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_20355]) ).
tcf(c_70780,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_68776,c_27711]) ).
tcf(c_70781,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_68776,c_27708]) ).
tcf(c_70782,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_18900]) ).
tcf(c_70783,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_18301]) ).
tcf(c_70794,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_3023]) ).
tcf(c_70795,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68776,c_13499]) ).
tcf(c_70796,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_68776,c_2900]) ).
tcf(c_70797,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_2857]) ).
tcf(c_70907,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_61210,c_16658]) ).
tcf(c_70908,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_61210,c_104]) ).
tcf(c_70909,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_61210,c_643]) ).
tcf(c_70933,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_61213,c_16658]) ).
tcf(c_70935,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_61213,c_643]) ).
tcf(c_70936,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_61213,c_61210]) ).
tcf(c_70938,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61213,c_57768]) ).
tcf(c_70985,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26130,c_8058]) ).
tcf(c_70986,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26127,c_8058]) ).
tcf(c_70987,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26125,c_8058]) ).
tcf(c_70988,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25304,c_8058]) ).
tcf(c_70989,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25301,c_8058]) ).
tcf(c_70990,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25299,c_8058]) ).
tcf(c_70992,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21298,c_8058]) ).
tcf(c_70994,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21044,c_8058]) ).
tcf(c_70999,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6790,c_8058]) ).
tcf(c_71000,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6787,c_8058]) ).
tcf(c_71001,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6580,c_8058]) ).
tcf(c_71002,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6577,c_8058]) ).
tcf(c_71018,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_29),sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_8058,c_16658]) ).
tcf(c_71113,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_58243]) ).
tcf(c_71114,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_58243]) ).
tcf(c_71115,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_58243]) ).
tcf(c_71116,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_58243]) ).
tcf(c_71117,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_58243]) ).
tcf(c_71118,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_58243]) ).
tcf(c_71132,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_65423,c_58243]) ).
tcf(c_71134,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_57810,c_58243]) ).
tcf(c_71136,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_56253,c_58243]) ).
tcf(c_71141,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_58243,c_16658]) ).
tcf(c_71160,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_59647]) ).
tcf(c_71161,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66877,c_59647]) ).
tcf(c_71162,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64278,c_59647]) ).
tcf(c_71163,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_59647]) ).
tcf(c_71173,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_59647]) ).
tcf(c_71174,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_59647]) ).
tcf(c_71175,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_59647]) ).
tcf(c_71176,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_59647]) ).
tcf(c_71177,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_59647]) ).
tcf(c_71178,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_59647]) ).
tcf(c_71190,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1040,c_59647]) ).
tcf(c_71191,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_59647]) ).
tcf(c_71192,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_59647]) ).
tcf(c_71195,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_59647,c_647]) ).
tcf(c_71196,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_59647,c_645]) ).
tcf(c_71197,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_59647,c_644]) ).
tcf(c_71198,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_17),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_59647,c_16658]) ).
tcf(c_71200,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_59647,c_28672]) ).
tcf(c_71235,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_71197,c_29043]) ).
tcf(c_71240,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_71196,c_29043]) ).
tcf(c_71245,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_71195,c_29043]) ).
tcf(c_71272,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68774,c_59721]) ).
tcf(c_71279,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26130,c_59721]) ).
tcf(c_71280,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26127,c_59721]) ).
tcf(c_71281,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26125,c_59721]) ).
tcf(c_71282,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25304,c_59721]) ).
tcf(c_71283,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25301,c_59721]) ).
tcf(c_71284,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25299,c_59721]) ).
tcf(c_71297,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_6085,c_59721]) ).
tcf(c_71298,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5863,c_59721]) ).
tcf(c_71299,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5748,c_59721]) ).
tcf(c_71300,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5744,c_59721]) ).
tcf(c_71301,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5260,c_59721]) ).
tcf(c_71302,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5257,c_59721]) ).
tcf(c_71303,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_59721]) ).
tcf(c_71304,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66877,c_59721]) ).
tcf(c_71305,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64278,c_59721]) ).
tcf(c_71306,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_64122,c_59721]) ).
tcf(c_71316,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_59721]) ).
tcf(c_71317,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_59721]) ).
tcf(c_71318,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_59721]) ).
tcf(c_71319,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_59721]) ).
tcf(c_71320,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_59721]) ).
tcf(c_71321,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_59721]) ).
tcf(c_71333,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1040,c_59721]) ).
tcf(c_71334,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_59721]) ).
tcf(c_71335,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_59721]) ).
tcf(c_71338,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_59721,c_647]) ).
tcf(c_71339,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_59721,c_645]) ).
tcf(c_71340,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_59721,c_644]) ).
tcf(c_71341,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_29),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_59721,c_16658]) ).
tcf(c_71349,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_59721,c_27711]) ).
tcf(c_71426,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_71340,c_28387]) ).
tcf(c_71431,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_71339,c_28387]) ).
tcf(c_71436,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_71338,c_28387]) ).
tcf(c_71557,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_62206]) ).
tcf(c_71558,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_62206]) ).
tcf(c_71559,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_62206]) ).
tcf(c_71560,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_62206]) ).
tcf(c_71561,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_54846,c_62206]) ).
tcf(c_71576,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_65423,c_62206]) ).
tcf(c_71578,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_57810,c_62206]) ).
tcf(c_71580,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_56253,c_62206]) ).
tcf(c_71585,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62206,c_16658]) ).
tcf(c_71633,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_70936,c_59721]) ).
tcf(c_71635,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_70936,c_54911]) ).
tcf(c_71636,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_70936,c_50824]) ).
tcf(c_71639,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_70936,c_46612]) ).
tcf(c_71652,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_70936,c_7663]) ).
tcf(c_71666,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_70936,c_7323]) ).
tcf(c_71697,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_70936,c_7320]) ).
tcf(c_71698,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_70936,c_2915]) ).
tcf(c_71699,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_70936,c_1261]) ).
tcf(c_71796,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_62206]) ).
tcf(c_71797,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_58243]) ).
tcf(c_71798,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_54456]) ).
tcf(c_71822,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_20355]) ).
tcf(c_71824,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_70938,c_27711]) ).
tcf(c_71825,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_70938,c_27708]) ).
tcf(c_71826,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_18900]) ).
tcf(c_71827,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_18301]) ).
tcf(c_71839,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_70938,c_13499]) ).
tcf(c_71840,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_70938,c_2900]) ).
tcf(c_71841,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_2857]) ).
tcf(c_72350,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66107,c_16658]) ).
tcf(c_72351,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_66107,c_104]) ).
tcf(c_72352,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_66107,c_643]) ).
tcf(c_72357,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = identity ) ),
inference(light_normalisation,[status(thm)],[c_72351,c_13499]) ).
tcf(c_72360,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_72350,c_13518]) ).
tcf(c_72998,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67022,c_16658]) ).
tcf(c_73000,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_67022,c_643]) ).
tcf(c_73030,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_34218]) ).
tcf(c_73031,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_679,c_34218]) ).
tcf(c_73032,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_34218]) ).
tcf(c_73033,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_669,c_34218]) ).
tcf(c_73034,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_34218]) ).
tcf(c_73035,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_659,c_34218]) ).
tcf(c_73036,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_34218]) ).
tcf(c_73037,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_34218]) ).
tcf(c_73038,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34218,c_16658]) ).
tcf(c_73039,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34218,c_105]) ).
tcf(c_73040,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34218,c_7341]) ).
tcf(c_73041,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34218,c_7339]) ).
tcf(c_73042,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34218,c_7337]) ).
tcf(c_73043,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34218,c_7335]) ).
tcf(c_73044,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34218,c_7333]) ).
tcf(c_73045,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34218,c_22228]) ).
tcf(c_73418,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_34219]) ).
tcf(c_73419,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_679,c_34219]) ).
tcf(c_73420,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_34219]) ).
tcf(c_73421,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_669,c_34219]) ).
tcf(c_73422,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_34219]) ).
tcf(c_73423,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_659,c_34219]) ).
tcf(c_73424,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_34219]) ).
tcf(c_73425,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_34219]) ).
tcf(c_73426,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34219,c_16658]) ).
tcf(c_73427,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34219,c_105]) ).
tcf(c_73433,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_34219,c_7388]) ).
tcf(c_73598,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_34220]) ).
tcf(c_73599,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_679,c_34220]) ).
tcf(c_73600,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_34220]) ).
tcf(c_73601,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_669,c_34220]) ).
tcf(c_73602,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_34220]) ).
tcf(c_73603,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_659,c_34220]) ).
tcf(c_73604,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_34220]) ).
tcf(c_73605,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_34220]) ).
tcf(c_73606,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34220,c_16658]) ).
tcf(c_73607,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34220,c_105]) ).
tcf(c_73608,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34220,c_7341]) ).
tcf(c_73609,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34220,c_7339]) ).
tcf(c_73610,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34220,c_7337]) ).
tcf(c_73611,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34220,c_7335]) ).
tcf(c_73613,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34220,c_22228]) ).
tcf(c_73756,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_34221]) ).
tcf(c_73757,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_679,c_34221]) ).
tcf(c_73758,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_34221]) ).
tcf(c_73759,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_669,c_34221]) ).
tcf(c_73760,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_34221]) ).
tcf(c_73761,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_659,c_34221]) ).
tcf(c_73762,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_34221]) ).
tcf(c_73763,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_34221]) ).
tcf(c_73764,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34221,c_16658]) ).
tcf(c_73765,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34221,c_105]) ).
tcf(c_73771,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_34221,c_7388]) ).
tcf(c_73852,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_34222]) ).
tcf(c_73853,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_669,c_34222]) ).
tcf(c_73854,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_34222]) ).
tcf(c_73855,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_659,c_34222]) ).
tcf(c_73856,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_34222]) ).
tcf(c_73857,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_34222]) ).
tcf(c_73858,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34222,c_16658]) ).
tcf(c_73859,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34222,c_105]) ).
tcf(c_73860,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34222,c_7341]) ).
tcf(c_73861,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34222,c_7339]) ).
tcf(c_73862,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34222,c_7337]) ).
tcf(c_73865,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34222,c_22228]) ).
tcf(c_74042,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_34223]) ).
tcf(c_74043,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_669,c_34223]) ).
tcf(c_74044,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_34223]) ).
tcf(c_74045,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_659,c_34223]) ).
tcf(c_74046,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_34223]) ).
tcf(c_74047,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_34223]) ).
tcf(c_74048,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34223,c_16658]) ).
tcf(c_74049,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34223,c_105]) ).
tcf(c_74055,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_34223,c_7388]) ).
tcf(c_74100,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26130,c_8065]) ).
tcf(c_74101,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26127,c_8065]) ).
tcf(c_74102,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26125,c_8065]) ).
tcf(c_74103,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25304,c_8065]) ).
tcf(c_74104,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25301,c_8065]) ).
tcf(c_74105,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25299,c_8065]) ).
tcf(c_74114,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6790,c_8065]) ).
tcf(c_74116,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_6580,c_8065]) ).
tcf(c_74133,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_29),sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_8065,c_16658]) ).
tcf(c_74209,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_62631]) ).
tcf(c_74210,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66877,c_62631]) ).
tcf(c_74222,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_62631]) ).
tcf(c_74223,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_62631]) ).
tcf(c_74224,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_62631]) ).
tcf(c_74225,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_62631]) ).
tcf(c_74226,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_62631]) ).
tcf(c_74227,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_62631]) ).
tcf(c_74240,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_62631]) ).
tcf(c_74241,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_62631]) ).
tcf(c_74244,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_62631,c_647]) ).
tcf(c_74245,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_62631,c_645]) ).
tcf(c_74246,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_62631,c_644]) ).
tcf(c_74247,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_17),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_62631,c_16658]) ).
tcf(c_74249,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_62631,c_28672]) ).
tcf(c_74277,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_74246,c_29043]) ).
tcf(c_74282,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_74245,c_29043]) ).
tcf(c_74287,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_74244,c_29043]) ).
tcf(c_74302,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_70936,c_62698]) ).
tcf(c_74303,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68774,c_62698]) ).
tcf(c_74310,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26130,c_62698]) ).
tcf(c_74311,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26127,c_62698]) ).
tcf(c_74312,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26125,c_62698]) ).
tcf(c_74313,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25304,c_62698]) ).
tcf(c_74314,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25301,c_62698]) ).
tcf(c_74315,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25299,c_62698]) ).
tcf(c_74330,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5748,c_62698]) ).
tcf(c_74331,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5744,c_62698]) ).
tcf(c_74332,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5260,c_62698]) ).
tcf(c_74333,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5257,c_62698]) ).
tcf(c_74334,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_62698]) ).
tcf(c_74335,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66877,c_62698]) ).
tcf(c_74347,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_62698]) ).
tcf(c_74348,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_62698]) ).
tcf(c_74349,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_62698]) ).
tcf(c_74350,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_62698]) ).
tcf(c_74351,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_14575,c_62698]) ).
tcf(c_74352,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_62698]) ).
tcf(c_74365,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1032,c_62698]) ).
tcf(c_74366,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_62698]) ).
tcf(c_74369,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_62698,c_647]) ).
tcf(c_74370,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_62698,c_645]) ).
tcf(c_74371,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_62698,c_644]) ).
tcf(c_74372,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_29),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_62698,c_16658]) ).
tcf(c_74380,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_62698,c_27711]) ).
tcf(c_74444,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_74371,c_28387]) ).
tcf(c_74449,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_74370,c_28387]) ).
tcf(c_74454,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_74369,c_28387]) ).
tcf(c_74484,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_63520]) ).
tcf(c_74485,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_63520]) ).
tcf(c_74486,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_63520]) ).
tcf(c_74487,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_63520]) ).
tcf(c_74488,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_59624,c_63520]) ).
tcf(c_74504,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_65423,c_63520]) ).
tcf(c_74506,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_57810,c_63520]) ).
tcf(c_74508,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_56253,c_63520]) ).
tcf(c_74513,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_63520,c_16658]) ).
tcf(c_74580,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_63832]) ).
tcf(c_74593,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_63832]) ).
tcf(c_74594,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_63832]) ).
tcf(c_74595,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_63832]) ).
tcf(c_74596,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_63832]) ).
tcf(c_74598,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_63832]) ).
tcf(c_74612,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_63832]) ).
tcf(c_74615,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_63832,c_647]) ).
tcf(c_74616,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_63832,c_645]) ).
tcf(c_74617,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63832,c_644]) ).
tcf(c_74618,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_17),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_63832,c_16658]) ).
tcf(c_74620,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_63832,c_28672]) ).
tcf(c_74641,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_74617,c_29043]) ).
tcf(c_74646,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_74616,c_29043]) ).
tcf(c_74651,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_74615,c_29043]) ).
tcf(c_74665,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67154,c_16658]) ).
tcf(c_74666,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_67154,c_104]) ).
tcf(c_74667,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_67154,c_643]) ).
tcf(c_74695,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67157,c_16658]) ).
tcf(c_74697,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_67157,c_643]) ).
tcf(c_74698,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_67157,c_67154]) ).
tcf(c_74699,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67157,c_66107]) ).
tcf(c_74807,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_74698,c_59721]) ).
tcf(c_74824,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_74698,c_7677]) ).
tcf(c_74840,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_74698,c_7323]) ).
tcf(c_74871,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_74698,c_7320]) ).
tcf(c_74872,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_74698,c_2915]) ).
tcf(c_74873,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_74698,c_1261]) ).
tcf(c_74910,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74699,c_63520]) ).
tcf(c_74911,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74699,c_62206]) ).
tcf(c_74912,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74699,c_58243]) ).
tcf(c_74917,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74699,c_50965]) ).
tcf(c_74937,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74699,c_20355]) ).
tcf(c_74939,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_74699,c_27711]) ).
tcf(c_74940,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_74699,c_27708]) ).
tcf(c_74941,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74699,c_18900]) ).
tcf(c_74942,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74699,c_18301]) ).
tcf(c_74952,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74699,c_3100]) ).
tcf(c_74954,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_74699,c_13499]) ).
tcf(c_74955,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_74699,c_2900]) ).
tcf(c_75014,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_34224]) ).
tcf(c_75015,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_659,c_34224]) ).
tcf(c_75016,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_34224]) ).
tcf(c_75017,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_34224]) ).
tcf(c_75018,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34224,c_16658]) ).
tcf(c_75019,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34224,c_105]) ).
tcf(c_75020,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34224,c_7341]) ).
tcf(c_75021,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34224,c_7339]) ).
tcf(c_75025,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34224,c_22228]) ).
tcf(c_75125,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_34225]) ).
tcf(c_75126,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_659,c_34225]) ).
tcf(c_75127,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_34225]) ).
tcf(c_75128,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_34225]) ).
tcf(c_75129,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34225,c_16658]) ).
tcf(c_75130,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34225,c_105]) ).
tcf(c_75136,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_34225,c_7388]) ).
tcf(c_75182,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_34226]) ).
tcf(c_75183,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_34226]) ).
tcf(c_75184,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34226,c_16658]) ).
tcf(c_75185,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34226,c_105]) ).
tcf(c_75186,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34226,c_7341]) ).
tcf(c_75191,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34226,c_22228]) ).
tcf(c_75229,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_34227]) ).
tcf(c_75230,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_34227]) ).
tcf(c_75231,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_34227,c_16658]) ).
tcf(c_75232,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34227,c_105]) ).
tcf(c_75238,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_34227,c_7388]) ).
tcf(c_75323,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c6),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_34236,c_16658]) ).
tcf(c_75324,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34236,c_105]) ).
tcf(c_75325,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_34236,c_2916]) ).
tcf(c_75356,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_34238,c_16658]) ).
tcf(c_75357,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34238,c_105]) ).
tcf(c_75358,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_34238,c_2916]) ).
tcf(c_75389,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c6),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_34240,c_16658]) ).
tcf(c_75390,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34240,c_105]) ).
tcf(c_75391,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_34240,c_2916]) ).
tcf(c_75487,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c6),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_34242,c_16658]) ).
tcf(c_75488,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_34242,c_105]) ).
tcf(c_75489,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_34242,c_2916]) ).
tcf(c_75511,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26130,c_8072]) ).
tcf(c_75512,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26127,c_8072]) ).
tcf(c_75513,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_26125,c_8072]) ).
tcf(c_75514,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25304,c_8072]) ).
tcf(c_75515,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25301,c_8072]) ).
tcf(c_75516,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_25299,c_8072]) ).
tcf(c_75517,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21301,c_8072]) ).
tcf(c_75518,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21298,c_8072]) ).
tcf(c_75519,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21047,c_8072]) ).
tcf(c_75520,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21044,c_8072]) ).
tcf(c_75523,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_7132,c_8072]) ).
tcf(c_75524,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_7001,c_8072]) ).
tcf(c_75544,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_29),sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_8072,c_16658]) ).
tcf(c_75593,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_70936,c_63895]) ).
tcf(c_75601,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26130,c_63895]) ).
tcf(c_75602,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26127,c_63895]) ).
tcf(c_75603,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26125,c_63895]) ).
tcf(c_75604,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25304,c_63895]) ).
tcf(c_75605,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25301,c_63895]) ).
tcf(c_75606,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25299,c_63895]) ).
tcf(c_75623,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5260,c_63895]) ).
tcf(c_75624,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_5257,c_63895]) ).
tcf(c_75625,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68375,c_63895]) ).
tcf(c_75638,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31378,c_63895]) ).
tcf(c_75639,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19642,c_63895]) ).
tcf(c_75640,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18691,c_63895]) ).
tcf(c_75641,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18105,c_63895]) ).
tcf(c_75643,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_11846,c_63895]) ).
tcf(c_75657,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_63895]) ).
tcf(c_75660,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_63895,c_647]) ).
tcf(c_75661,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_63895,c_645]) ).
tcf(c_75662,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63895,c_644]) ).
tcf(c_75663,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_29),iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_63895,c_16658]) ).
tcf(c_75671,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_63895,c_27711]) ).
tcf(c_75717,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_27 )
| ( sk_c11 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_75662,c_28387]) ).
tcf(c_75722,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_75661,c_28387]) ).
tcf(c_75727,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_75660,c_28387]) ).
tcf(c_75855,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_65052]) ).
tcf(c_75856,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_686,c_65052]) ).
tcf(c_75857,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_684,c_65052]) ).
tcf(c_75858,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_683,c_65052]) ).
tcf(c_75859,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_65052]) ).
tcf(c_75860,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_677,c_65052]) ).
tcf(c_75861,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_676,c_65052]) ).
tcf(c_75862,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_674,c_65052]) ).
tcf(c_75863,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_673,c_65052]) ).
tcf(c_75864,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_65052]) ).
tcf(c_75865,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_65052]) ).
tcf(c_75866,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_666,c_65052]) ).
tcf(c_75867,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_65052]) ).
tcf(c_75868,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_663,c_65052]) ).
tcf(c_75869,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_661,c_65052]) ).
tcf(c_75873,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_65052,c_16658]) ).
tcf(c_75875,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_65052,c_646]) ).
tcf(c_75984,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_687,c_65055]) ).
tcf(c_75985,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_686,c_65055]) ).
tcf(c_75986,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_684,c_65055]) ).
tcf(c_75987,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_683,c_65055]) ).
tcf(c_75988,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_681,c_65055]) ).
tcf(c_75989,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_677,c_65055]) ).
tcf(c_75990,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_676,c_65055]) ).
tcf(c_75991,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_674,c_65055]) ).
tcf(c_75992,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_673,c_65055]) ).
tcf(c_75993,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_671,c_65055]) ).
tcf(c_75994,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_667,c_65055]) ).
tcf(c_75995,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_666,c_65055]) ).
tcf(c_75996,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_664,c_65055]) ).
tcf(c_75997,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_663,c_65055]) ).
tcf(c_75998,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_661,c_65055]) ).
tcf(c_76002,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_65055,c_16658]) ).
tcf(c_76004,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_65055,c_646]) ).
tcf(c_76008,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_65055,c_7628]) ).
tcf(c_76192,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_54408,c_8102]) ).
tcf(c_76211,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8102,c_16658]) ).
tcf(c_76213,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_29,sk_c10) ) ),
inference(superposition,[status(thm)],[c_8102,c_7323]) ).
tcf(c_76281,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_70938,c_8104]) ).
tcf(c_76283,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_63804,c_8104]) ).
tcf(c_76289,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_38868,c_8104]) ).
tcf(c_76291,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_38477,c_8104]) ).
tcf(c_76301,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_8104,c_16658]) ).
tcf(c_76302,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_8104,c_105]) ).
tcf(c_76303,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_29,identity) ) ),
inference(superposition,[status(thm)],[c_8104,c_7323]) ).
tcf(c_76433,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_54454,c_8649]) ).
tcf(c_76434,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_54408,c_8649]) ).
tcf(c_76453,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8649,c_16658]) ).
tcf(c_76455,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_8649,c_8026]) ).
tcf(c_76456,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_8649,c_7950]) ).
tcf(c_76466,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_17,sk_c10) ) ),
inference(superposition,[status(thm)],[c_8649,c_7304]) ).
tcf(c_76504,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_70938,c_8651]) ).
tcf(c_76506,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_63804,c_8651]) ).
tcf(c_76524,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_8651,c_16658]) ).
tcf(c_76525,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_8651,c_105]) ).
tcf(c_76526,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_8651,c_8026]) ).
tcf(c_76527,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_8651,c_7950]) ).
tcf(c_76528,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8651,c_30654]) ).
tcf(c_76529,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8651,c_29583]) ).
tcf(c_76535,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8651,c_28930]) ).
tcf(c_76536,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8651,c_28791]) ).
tcf(c_76537,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_8651,c_7304]) ).
tcf(c_76817,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20355,c_8103]) ).
tcf(c_76818,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18900,c_8103]) ).
tcf(c_76819,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18301,c_8103]) ).
tcf(c_76825,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2857,c_8103]) ).
tcf(c_76827,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_27708,c_8103]) ).
tcf(c_76828,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13499,c_8103]) ).
tcf(c_76830,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,X0) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_27711,c_8103]) ).
tcf(c_76837,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_63520,c_8103]) ).
tcf(c_76838,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62206,c_8103]) ).
tcf(c_76839,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_58243,c_8103]) ).
tcf(c_76841,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_70938,c_8103]) ).
tcf(c_76843,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_63804,c_8103]) ).
tcf(c_76849,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38868,c_8103]) ).
tcf(c_76851,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38477,c_8103]) ).
tcf(c_76862,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_8103,c_105]) ).
tcf(c_76863,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(sk_c1,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_8103,c_7323]) ).
tcf(c_76900,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_76862,c_27707,c_28387]) ).
tcf(c_76928,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52767,c_65058]) ).
tcf(c_76977,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_687,c_65058]) ).
tcf(c_76978,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_65058]) ).
tcf(c_76979,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_65058]) ).
tcf(c_76980,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_683,c_65058]) ).
tcf(c_76981,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_65058]) ).
tcf(c_76982,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_677,c_65058]) ).
tcf(c_76983,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_676,c_65058]) ).
tcf(c_76984,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_674,c_65058]) ).
tcf(c_76985,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_673,c_65058]) ).
tcf(c_76986,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_65058]) ).
tcf(c_76987,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_65058]) ).
tcf(c_76988,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_65058]) ).
tcf(c_76989,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_65058]) ).
tcf(c_76990,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_663,c_65058]) ).
tcf(c_76991,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_661,c_65058]) ).
tcf(c_76995,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_65058,c_16658]) ).
tcf(c_76997,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_65058,c_646]) ).
tcf(c_76998,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_65058,c_8026]) ).
tcf(c_76999,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_65058,c_7950]) ).
tcf(c_77003,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65058,c_29452]) ).
tcf(c_77007,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65058,c_28930]) ).
tcf(c_77008,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65058,c_28791]) ).
tcf(c_77009,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_17,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_65058,c_7304]) ).
tcf(c_77104,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_65061]) ).
tcf(c_77105,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_65061]) ).
tcf(c_77106,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_65061]) ).
tcf(c_77161,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_687,c_65061]) ).
tcf(c_77162,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_686,c_65061]) ).
tcf(c_77163,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_684,c_65061]) ).
tcf(c_77164,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_683,c_65061]) ).
tcf(c_77165,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_681,c_65061]) ).
tcf(c_77166,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_677,c_65061]) ).
tcf(c_77167,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_676,c_65061]) ).
tcf(c_77168,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_674,c_65061]) ).
tcf(c_77169,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_673,c_65061]) ).
tcf(c_77170,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_65061]) ).
tcf(c_77171,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_667,c_65061]) ).
tcf(c_77172,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_666,c_65061]) ).
tcf(c_77173,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_65061]) ).
tcf(c_77174,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_663,c_65061]) ).
tcf(c_77175,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_661,c_65061]) ).
tcf(c_77179,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_65061,c_16658]) ).
tcf(c_77181,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_28 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_65061,c_646]) ).
tcf(c_77182,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_65061,c_7323]) ).
tcf(c_77526,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74699,c_65535]) ).
tcf(c_77527,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_65535]) ).
tcf(c_77528,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_65535]) ).
tcf(c_77529,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_65535]) ).
tcf(c_77530,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_62604,c_65535]) ).
tcf(c_77549,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_57810,c_65535]) ).
tcf(c_77551,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_56253,c_65535]) ).
tcf(c_77556,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65535,c_16658]) ).
tcf(c_77558,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65535,c_8103]) ).
tcf(c_77581,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_67407]) ).
tcf(c_77582,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68776,c_67407]) ).
tcf(c_77583,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_63804,c_67407]) ).
tcf(c_77603,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_57810,c_67407]) ).
tcf(c_77610,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_67407,c_16658]) ).
tcf(c_77612,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_67407,c_8103]) ).
tcf(c_77650,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_67407]) ).
tcf(c_77651,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_65535]) ).
tcf(c_77652,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76529,c_8103]) ).
tcf(c_77653,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_76529,c_8651]) ).
tcf(c_77656,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_63520]) ).
tcf(c_77657,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76529,c_70938]) ).
tcf(c_77658,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_62206]) ).
tcf(c_77659,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_58243]) ).
tcf(c_77661,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_54456]) ).
tcf(c_77662,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_53937]) ).
tcf(c_77663,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_76529,c_63804]) ).
tcf(c_77665,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_50965]) ).
tcf(c_77667,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_48872]) ).
tcf(c_77668,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_46748]) ).
tcf(c_77670,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_44757]) ).
tcf(c_77673,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_76529,c_38868]) ).
tcf(c_77685,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_20355]) ).
tcf(c_77687,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76529,c_27711]) ).
tcf(c_77688,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_76529,c_27708]) ).
tcf(c_77689,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_18900]) ).
tcf(c_77690,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_18301]) ).
tcf(c_77702,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_76529,c_13499]) ).
tcf(c_77703,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_76529,c_2900]) ).
tcf(c_77704,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_2857]) ).
tcf(c_77707,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76529,c_2915]) ).
tcf(c_77709,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_640]) ).
tcf(c_77710,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_76529,c_641]) ).
tcf(c_77730,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77707,c_103]) ).
tcf(c_77737,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77652,c_103]) ).
tcf(c_77913,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_77003,c_65061]) ).
tcf(c_77914,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77003,c_65058]) ).
tcf(c_77915,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77003,c_65055]) ).
tcf(c_77916,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_77003,c_65052]) ).
tcf(c_77917,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77003,c_65044]) ).
tcf(c_77923,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77003,c_50970]) ).
tcf(c_77935,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77003,c_3771]) ).
tcf(c_77937,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77003,c_36104]) ).
tcf(c_77938,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77003,c_35440]) ).
tcf(c_77942,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_77003,c_13387]) ).
tcf(c_77944,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_77003,c_13385]) ).
tcf(c_77945,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77003,c_18905]) ).
tcf(c_77947,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77003,c_18306]) ).
tcf(c_77969,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77003,c_3310]) ).
tcf(c_77970,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77003,c_3252]) ).
tcf(c_77971,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77003,c_3199]) ).
tcf(c_77972,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77003,c_3105]) ).
tcf(c_77983,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_77003,c_2895]) ).
tcf(c_77984,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_77003,c_2894]) ).
tcf(c_77991,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_77003,c_2167]) ).
tcf(c_77992,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_77003,c_2162]) ).
tcf(c_77996,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_77003,c_1883]) ).
tcf(c_77997,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_77003,c_1877]) ).
tcf(c_77999,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_77003,c_1644]) ).
tcf(c_78003,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_77003,c_1446]) ).
tcf(c_78005,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_77003,c_646]) ).
tcf(c_78016,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77003,c_638]) ).
tcf(c_78018,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77003,c_627]) ).
tcf(c_78063,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_77947,c_7301]) ).
tcf(c_78067,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_77945,c_7301]) ).
tcf(c_78277,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77657,c_31598]) ).
tcf(c_78297,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_77657,c_17582]) ).
tcf(c_78340,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77663,c_20721]) ).
tcf(c_78341,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77663,c_20720]) ).
tcf(c_78342,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77663,c_20073]) ).
tcf(c_78343,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77663,c_18690]) ).
tcf(c_78344,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77663,c_18689]) ).
tcf(c_78345,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77663,c_18688]) ).
tcf(c_78350,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_77663,c_17582]) ).
tcf(c_78393,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22372,c_8134]) ).
tcf(c_78394,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22371,c_8134]) ).
tcf(c_78402,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,sk_c5) ) ),
inference(superposition,[status(thm)],[c_1258,c_8134]) ).
tcf(c_78403,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c5,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_2918,c_8134]) ).
tcf(c_78404,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,sk_c8) = multiply(iPr_def_16,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_7390,c_8134]) ).
tcf(c_78405,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_16,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_7554,c_8134]) ).
tcf(c_78412,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_21) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8134]) ).
tcf(c_78414,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_8134,c_16658]) ).
tcf(c_78415,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_21,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8134,c_105]) ).
tcf(c_78416,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_8134,c_2917]) ).
tcf(c_78419,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_78404,c_22402]) ).
tcf(c_78424,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(light_normalisation,[status(thm)],[c_78416,c_7388]) ).
tcf(c_78432,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_22,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_78405,c_2899]) ).
tcf(c_78538,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_67412,c_8026]) ).
tcf(c_78539,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_67412,c_7950]) ).
tcf(c_78540,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67412,c_30654]) ).
tcf(c_78541,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67412,c_29583]) ).
tcf(c_78542,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67412,c_29526]) ).
tcf(c_78547,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67412,c_28930]) ).
tcf(c_78548,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67412,c_28791]) ).
tcf(c_78549,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_17,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_67412,c_7304]) ).
tcf(c_78556,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_78549,c_627]) ).
tcf(c_78592,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_54454,c_67688]) ).
tcf(c_78593,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_54408,c_67688]) ).
tcf(c_78594,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_53934,c_67688]) ).
tcf(c_78595,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_53887,c_67688]) ).
tcf(c_78600,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_26837,c_67688]) ).
tcf(c_78601,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_26835,c_67688]) ).
tcf(c_78602,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_26833,c_67688]) ).
tcf(c_78610,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_4463,c_67688]) ).
tcf(c_78611,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_4214,c_67688]) ).
tcf(c_78622,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_19643,c_67688]) ).
tcf(c_78623,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_19641,c_67688]) ).
tcf(c_78624,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_19640,c_67688]) ).
tcf(c_78647,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_1947,c_67688]) ).
tcf(c_78653,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_1495,c_67688]) ).
tcf(c_78655,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_1420,c_67688]) ).
tcf(c_78656,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_1155,c_67688]) ).
tcf(c_78658,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_687,c_67688]) ).
tcf(c_78659,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_686,c_67688]) ).
tcf(c_78660,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_684,c_67688]) ).
tcf(c_78661,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_683,c_67688]) ).
tcf(c_78662,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_681,c_67688]) ).
tcf(c_78663,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_677,c_67688]) ).
tcf(c_78664,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_676,c_67688]) ).
tcf(c_78665,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_674,c_67688]) ).
tcf(c_78666,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_673,c_67688]) ).
tcf(c_78667,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_671,c_67688]) ).
tcf(c_78668,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_667,c_67688]) ).
tcf(c_78669,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_666,c_67688]) ).
tcf(c_78670,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_664,c_67688]) ).
tcf(c_78671,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_663,c_67688]) ).
tcf(c_78672,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_661,c_67688]) ).
tcf(c_78676,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_67688,c_16658]) ).
tcf(c_78677,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_67688,c_105]) ).
tcf(c_78679,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,identity) ) ),
inference(superposition,[status(thm)],[c_67688,c_7323]) ).
tcf(c_78682,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67688,c_53942]) ).
tcf(c_78688,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67688,c_14691]) ).
tcf(c_78689,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67688,c_14053]) ).
tcf(c_78711,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,identity) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_78679,c_627]) ).
tcf(c_78841,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76529,c_68574]) ).
tcf(c_78843,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70938,c_68574]) ).
tcf(c_78872,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68574,c_16658]) ).
tcf(c_78874,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68574,c_8103]) ).
tcf(c_78912,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68577,c_16658]) ).
tcf(c_78914,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_68577,c_2899]) ).
tcf(c_78915,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_68577,c_2897]) ).
tcf(c_78917,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_78915,c_12804]) ).
tcf(c_78920,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_78914,c_13432]) ).
tcf(c_78963,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77673,c_18690]) ).
tcf(c_78964,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77673,c_18689]) ).
tcf(c_78965,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77673,c_18688]) ).
tcf(c_78966,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77673,c_18104]) ).
tcf(c_78967,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77673,c_18103]) ).
tcf(c_78968,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77673,c_18102]) ).
tcf(c_78970,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_77673,c_17582]) ).
tcf(c_79058,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_78542,c_67688]) ).
tcf(c_79059,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_67412]) ).
tcf(c_79066,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_54461]) ).
tcf(c_79067,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_8049]) ).
tcf(c_79068,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_53942]) ).
tcf(c_79069,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_8045]) ).
tcf(c_79070,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_8041]) ).
tcf(c_79074,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_7973]) ).
tcf(c_79076,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_7969]) ).
tcf(c_79077,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_7965]) ).
tcf(c_79079,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_78542,c_31686]) ).
tcf(c_79080,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_78542,c_31683]) ).
tcf(c_79081,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78542,c_31680]) ).
tcf(c_79082,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_78542,c_31677]) ).
tcf(c_79084,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_31671]) ).
tcf(c_79085,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_36104]) ).
tcf(c_79086,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_35440]) ).
tcf(c_79087,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_20360]) ).
tcf(c_79093,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_18905]) ).
tcf(c_79094,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_18306]) ).
tcf(c_79095,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_78542,c_14691]) ).
tcf(c_79096,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_78542,c_14688]) ).
tcf(c_79097,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78542,c_14685]) ).
tcf(c_79098,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_78542,c_14682]) ).
tcf(c_79099,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_14676]) ).
tcf(c_79100,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_78542,c_14053]) ).
tcf(c_79101,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78542,c_14048]) ).
tcf(c_79102,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_78542,c_14045]) ).
tcf(c_79103,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_14039]) ).
tcf(c_79104,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_78542,c_21947]) ).
tcf(c_79129,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_78542,c_2895]) ).
tcf(c_79130,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_78542,c_2894]) ).
tcf(c_79131,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_2862]) ).
tcf(c_79156,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_78542,c_646]) ).
tcf(c_79175,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78542,c_656]) ).
tcf(c_79177,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78542,c_653]) ).
tcf(c_79178,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78542,c_651]) ).
tcf(c_79305,plain,
! [X0: $i] :
( ( identity = sk_c9 )
| ( identity != X0 )
| ( sk_c9 != X0 ) ),
inference(instantiation,[status(thm)],[c_1330]) ).
tcf(c_79315,plain,
( ( identity = sk_c9 )
| ( identity != sk_c10 )
| ( sk_c9 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_79305]) ).
tcf(c_79410,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78682,c_31598]) ).
tcf(c_79430,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_78682,c_17582]) ).
tcf(c_79509,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78688,c_18690]) ).
tcf(c_79510,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78688,c_18689]) ).
tcf(c_79511,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78688,c_18688]) ).
tcf(c_79515,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_78688,c_17605]) ).
tcf(c_79516,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_78688,c_17582]) ).
tcf(c_79517,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_78688,c_103]) ).
tcf(c_79555,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22372,c_8146]) ).
tcf(c_79556,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22371,c_8146]) ).
tcf(c_79564,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,sk_c6) ) ),
inference(superposition,[status(thm)],[c_1260,c_8146]) ).
tcf(c_79567,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_1687,c_8146]) ).
tcf(c_79568,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_1685,c_8146]) ).
tcf(c_79572,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_1688,c_8146]) ).
tcf(c_79573,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_1686,c_8146]) ).
tcf(c_79575,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_2916,c_8146]) ).
tcf(c_79576,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_7341,c_8146]) ).
tcf(c_79577,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_7339,c_8146]) ).
tcf(c_79581,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_7342,c_8146]) ).
tcf(c_79582,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_7340,c_8146]) ).
tcf(c_79588,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8146]) ).
tcf(c_79589,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c8) ) ),
inference(superposition,[status(thm)],[c_23839,c_8146]) ).
tcf(c_79590,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c8) ) ),
inference(superposition,[status(thm)],[c_23779,c_8146]) ).
tcf(c_79594,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8146,c_16658]) ).
tcf(c_79595,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_18,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8146,c_105]) ).
tcf(c_79596,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8146,c_2917]) ).
tcf(c_79607,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_79596,c_7388]) ).
tcf(c_80218,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_68579]) ).
tcf(c_80286,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68579,c_8026]) ).
tcf(c_80287,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68579,c_7950]) ).
tcf(c_80288,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68579,c_30654]) ).
tcf(c_80289,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68579,c_29583]) ).
tcf(c_80295,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68579,c_28930]) ).
tcf(c_80296,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68579,c_28791]) ).
tcf(c_80297,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_17,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_68579,c_7304]) ).
tcf(c_80304,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80297,c_627]) ).
tcf(c_80340,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_54454,c_68727]) ).
tcf(c_80341,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_54408,c_68727]) ).
tcf(c_80348,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_26837,c_68727]) ).
tcf(c_80349,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_26835,c_68727]) ).
tcf(c_80350,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_26833,c_68727]) ).
tcf(c_80359,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_4214,c_68727]) ).
tcf(c_80371,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_19643,c_68727]) ).
tcf(c_80372,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_19641,c_68727]) ).
tcf(c_80373,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_19640,c_68727]) ).
tcf(c_80404,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_1420,c_68727]) ).
tcf(c_80407,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_687,c_68727]) ).
tcf(c_80408,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_686,c_68727]) ).
tcf(c_80409,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_684,c_68727]) ).
tcf(c_80410,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_683,c_68727]) ).
tcf(c_80411,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_681,c_68727]) ).
tcf(c_80412,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_677,c_68727]) ).
tcf(c_80413,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_676,c_68727]) ).
tcf(c_80414,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_674,c_68727]) ).
tcf(c_80415,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_673,c_68727]) ).
tcf(c_80416,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_671,c_68727]) ).
tcf(c_80417,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_667,c_68727]) ).
tcf(c_80418,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_666,c_68727]) ).
tcf(c_80419,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_664,c_68727]) ).
tcf(c_80420,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_663,c_68727]) ).
tcf(c_80421,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_661,c_68727]) ).
tcf(c_80425,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_68727,c_16658]) ).
tcf(c_80426,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_68727,c_105]) ).
tcf(c_80428,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,identity) ) ),
inference(superposition,[status(thm)],[c_68727,c_7323]) ).
tcf(c_80438,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_68727,c_14053]) ).
tcf(c_80451,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,identity) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80428,c_627]) ).
tcf(c_80525,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_61612,c_68748]) ).
tcf(c_80526,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_61110,c_68748]) ).
tcf(c_80531,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26130,c_68748]) ).
tcf(c_80532,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26127,c_68748]) ).
tcf(c_80533,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26125,c_68748]) ).
tcf(c_80534,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_25304,c_68748]) ).
tcf(c_80535,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_25301,c_68748]) ).
tcf(c_80536,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_25299,c_68748]) ).
tcf(c_80551,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5748,c_68748]) ).
tcf(c_80555,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68748,c_16658]) ).
tcf(c_80556,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_68748,c_105]) ).
tcf(c_80557,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68748,c_27711]) ).
tcf(c_80594,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_61612,c_70908]) ).
tcf(c_80600,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26130,c_70908]) ).
tcf(c_80601,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26127,c_70908]) ).
tcf(c_80602,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26125,c_70908]) ).
tcf(c_80603,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_25304,c_70908]) ).
tcf(c_80604,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_25301,c_70908]) ).
tcf(c_80605,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_25299,c_70908]) ).
tcf(c_80624,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_70908,c_16658]) ).
tcf(c_80625,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_70908,c_105]) ).
tcf(c_80626,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_70908,c_27711]) ).
tcf(c_80717,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_68579]) ).
tcf(c_80726,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_54461]) ).
tcf(c_80727,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_8049]) ).
tcf(c_80729,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_8045]) ).
tcf(c_80730,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_8041]) ).
tcf(c_80734,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_7973]) ).
tcf(c_80736,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_7969]) ).
tcf(c_80737,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_7965]) ).
tcf(c_80739,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_80289,c_31686]) ).
tcf(c_80740,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_80289,c_31683]) ).
tcf(c_80741,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_80289,c_31680]) ).
tcf(c_80742,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_80289,c_31677]) ).
tcf(c_80744,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_31671]) ).
tcf(c_80745,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_36104]) ).
tcf(c_80746,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_35440]) ).
tcf(c_80747,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_20360]) ).
tcf(c_80753,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_18905]) ).
tcf(c_80754,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_18306]) ).
tcf(c_80760,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_80289,c_14053]) ).
tcf(c_80761,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_80289,c_14048]) ).
tcf(c_80762,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_80289,c_14045]) ).
tcf(c_80763,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_14039]) ).
tcf(c_80764,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_80289,c_21947]) ).
tcf(c_80789,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_80289,c_2895]) ).
tcf(c_80790,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_80289,c_2894]) ).
tcf(c_80816,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_80289,c_646]) ).
tcf(c_80835,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_80289,c_656]) ).
tcf(c_80837,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_80289,c_653]) ).
tcf(c_80838,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_80289,c_651]) ).
tcf(c_81171,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_80438,c_18690]) ).
tcf(c_81172,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_80438,c_18689]) ).
tcf(c_81173,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_80438,c_18688]) ).
tcf(c_81177,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_80438,c_17605]) ).
tcf(c_81178,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_80438,c_17582]) ).
tcf(c_81219,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_79515]) ).
tcf(c_81220,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_79515]) ).
tcf(c_81221,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_79515]) ).
tcf(c_81231,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_79515,c_16658]) ).
tcf(c_81233,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_79515,c_643]) ).
tcf(c_81234,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_79515,c_28412]) ).
tcf(c_81235,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_79515,c_28410]) ).
tcf(c_81243,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_79515,c_28391]) ).
tcf(c_81244,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_79515,c_28390]) ).
tcf(c_81245,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_79515,c_28389]) ).
tcf(c_81397,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_81235,c_8103]) ).
tcf(c_81398,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_81235,c_8651]) ).
tcf(c_81430,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81235,c_20355]) ).
tcf(c_81432,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_81235,c_27711]) ).
tcf(c_81434,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81235,c_18900]) ).
tcf(c_81435,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81235,c_18301]) ).
tcf(c_81446,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81235,c_3023]) ).
tcf(c_81447,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_81235,c_13499]) ).
tcf(c_81448,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_81235,c_2900]) ).
tcf(c_81449,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81235,c_2857]) ).
tcf(c_81452,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_81235,c_2915]) ).
tcf(c_81453,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_81235,c_1261]) ).
tcf(c_81455,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_81235,c_641]) ).
tcf(c_81458,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = identity ) ),
inference(light_normalisation,[status(thm)],[c_81453,c_7320]) ).
tcf(c_81463,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81452,c_7323]) ).
tcf(c_81490,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = sk_c10 ) ),
inference(instantiation,[status(thm)],[c_81463]) ).
tcf(c_81513,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22372,c_8158]) ).
tcf(c_81522,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,sk_c5) ) ),
inference(superposition,[status(thm)],[c_1258,c_8158]) ).
tcf(c_81523,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c5,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_2918,c_8158]) ).
tcf(c_81524,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,sk_c8) = multiply(iPr_def_16,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_7390,c_8158]) ).
tcf(c_81525,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_16,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_7554,c_8158]) ).
tcf(c_81532,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_21) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8158]) ).
tcf(c_81534,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_8158,c_16658]) ).
tcf(c_81535,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_21,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8158,c_105]) ).
tcf(c_81536,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_8158,c_2917]) ).
tcf(c_81539,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_81524,c_22402]) ).
tcf(c_81544,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(light_normalisation,[status(thm)],[c_81536,c_7388]) ).
tcf(c_81552,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_22,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_81525,c_2899]) ).
tcf(c_81588,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26837,c_81455]) ).
tcf(c_81589,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26835,c_81455]) ).
tcf(c_81590,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26833,c_81455]) ).
tcf(c_81602,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_81455,c_643]) ).
tcf(c_81646,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_64943,c_72357]) ).
tcf(c_81651,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_50961,c_72357]) ).
tcf(c_81655,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_26837,c_72357]) ).
tcf(c_81656,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_26835,c_72357]) ).
tcf(c_81657,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_26833,c_72357]) ).
tcf(c_81664,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_4549,c_72357]) ).
tcf(c_81669,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_77003,c_72357]) ).
tcf(c_81679,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_19643,c_72357]) ).
tcf(c_81680,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_19641,c_72357]) ).
tcf(c_81681,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_19640,c_72357]) ).
tcf(c_81715,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_687,c_72357]) ).
tcf(c_81716,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_686,c_72357]) ).
tcf(c_81717,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_684,c_72357]) ).
tcf(c_81718,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_683,c_72357]) ).
tcf(c_81719,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_681,c_72357]) ).
tcf(c_81720,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_677,c_72357]) ).
tcf(c_81721,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_676,c_72357]) ).
tcf(c_81722,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_674,c_72357]) ).
tcf(c_81723,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_673,c_72357]) ).
tcf(c_81724,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_671,c_72357]) ).
tcf(c_81725,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_667,c_72357]) ).
tcf(c_81726,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_666,c_72357]) ).
tcf(c_81727,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_664,c_72357]) ).
tcf(c_81728,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_663,c_72357]) ).
tcf(c_81729,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_661,c_72357]) ).
tcf(c_81733,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_72357,c_16658]) ).
tcf(c_81734,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_72357,c_105]) ).
tcf(c_81735,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_72357,c_646]) ).
tcf(c_81736,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,identity) ) ),
inference(superposition,[status(thm)],[c_72357,c_7323]) ).
tcf(c_81737,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72357,c_65061]) ).
tcf(c_81740,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72357,c_50970]) ).
tcf(c_81761,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,identity) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_81736,c_627]) ).
tcf(c_81841,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56152,c_74666]) ).
tcf(c_81845,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26130,c_74666]) ).
tcf(c_81846,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26127,c_74666]) ).
tcf(c_81847,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26125,c_74666]) ).
tcf(c_81848,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_25304,c_74666]) ).
tcf(c_81849,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_25301,c_74666]) ).
tcf(c_81850,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_25299,c_74666]) ).
tcf(c_81863,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_6085,c_74666]) ).
tcf(c_81864,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5863,c_74666]) ).
tcf(c_81869,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74666,c_16658]) ).
tcf(c_81870,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_74666,c_105]) ).
tcf(c_81871,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74666,c_27711]) ).
tcf(c_81940,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81458,c_63895]) ).
tcf(c_81941,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81458,c_63832]) ).
tcf(c_81942,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81458,c_62698]) ).
tcf(c_81943,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81458,c_62631]) ).
tcf(c_81956,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_81458,c_8026]) ).
tcf(c_81962,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81458,c_44042]) ).
tcf(c_81963,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81458,c_43896]) ).
tcf(c_81964,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81458,c_38566]) ).
tcf(c_81966,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81458,c_38327]) ).
tcf(c_81973,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_81458,c_7950]) ).
tcf(c_81982,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(identity)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_81458,c_2792]) ).
tcf(c_81983,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_81458,c_3768]) ).
tcf(c_81984,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_81458,c_35960]) ).
tcf(c_81989,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_31378]) ).
tcf(c_81990,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_20777]) ).
tcf(c_81992,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_20129]) ).
tcf(c_81993,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_19788]) ).
tcf(c_81996,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_81458,c_19642]) ).
tcf(c_81998,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_81458,c_18691]) ).
tcf(c_81999,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_81458,c_18105]) ).
tcf(c_82002,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(identity),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_81458,c_16676]) ).
tcf(c_82005,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_5762]) ).
tcf(c_82008,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_5273]) ).
tcf(c_82011,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_4477]) ).
tcf(c_82013,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_4227]) ).
tcf(c_82014,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_3507]) ).
tcf(c_82015,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_3396]) ).
tcf(c_82017,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(identity,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_81458,c_2901]) ).
tcf(c_82019,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(identity,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_81458,c_2900]) ).
tcf(c_82020,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,multiply(identity,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_81458,c_2898]) ).
tcf(c_82021,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,multiply(identity,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_81458,c_2896]) ).
tcf(c_82022,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_81458,c_2894]) ).
tcf(c_82023,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_2241]) ).
tcf(c_82024,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_2173]) ).
tcf(c_82025,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_2077]) ).
tcf(c_82026,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1996]) ).
tcf(c_82028,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1885]) ).
tcf(c_82031,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1720]) ).
tcf(c_82033,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1650]) ).
tcf(c_82034,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1586]) ).
tcf(c_82035,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1541]) ).
tcf(c_82037,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1448]) ).
tcf(c_82039,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1343]) ).
tcf(c_82040,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1305]) ).
tcf(c_82041,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1272]) ).
tcf(c_82046,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1167]) ).
tcf(c_82047,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_1135]) ).
tcf(c_82057,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,identity) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_81458,c_647]) ).
tcf(c_82058,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_81458,c_645]) ).
tcf(c_82063,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_81458,c_1032]) ).
tcf(c_82065,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_81458,c_644]) ).
tcf(c_82066,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81458,c_640]) ).
tcf(c_82067,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81458,c_639]) ).
tcf(c_82068,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_81458,c_636]) ).
tcf(c_82069,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_81458,c_632]) ).
tcf(c_82071,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81458,c_627]) ).
tcf(c_82072,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_81458,c_654]) ).
tcf(c_82099,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_82002,c_17605]) ).
tcf(c_82167,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_82021,c_103]) ).
tcf(c_82170,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_82020,c_103]) ).
tcf(c_82173,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_82019,c_103]) ).
tcf(c_82176,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_82017,c_103]) ).
tcf(c_82210,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_81982,c_17605]) ).
tcf(c_82220,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( X0 != sk_c11 )
| ( inverse(X0) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_82065,c_17582]) ).
tcf(c_82225,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( X0 != sk_c11 )
| ( inverse(X0) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_82058,c_17582]) ).
tcf(c_82230,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( X0 != sk_c9 )
| ( inverse(X0) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_82057,c_17582]) ).
tcf(c_82829,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_81737,c_20721]) ).
tcf(c_82830,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_81737,c_20720]) ).
tcf(c_82831,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_81737,c_20073]) ).
tcf(c_82832,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_81737,c_18690]) ).
tcf(c_82833,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_81737,c_18689]) ).
tcf(c_82834,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_81737,c_18688]) ).
tcf(c_82838,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81737,c_17605]) ).
tcf(c_82839,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_81737,c_17582]) ).
tcf(c_82840,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_81737,c_103]) ).
tcf(c_82900,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_81740,c_31598]) ).
tcf(c_82920,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_81740,c_17582]) ).
tcf(c_82965,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_82063,c_31598]) ).
tcf(c_82985,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_82063,c_17582]) ).
tcf(c_83013,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_22372,c_8170]) ).
tcf(c_83022,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,sk_c6) ) ),
inference(superposition,[status(thm)],[c_1260,c_8170]) ).
tcf(c_83025,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_1687,c_8170]) ).
tcf(c_83030,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_1688,c_8170]) ).
tcf(c_83033,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_2916,c_8170]) ).
tcf(c_83034,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_7341,c_8170]) ).
tcf(c_83039,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_7342,c_8170]) ).
tcf(c_83046,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8170]) ).
tcf(c_83047,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c8) ) ),
inference(superposition,[status(thm)],[c_23839,c_8170]) ).
tcf(c_83052,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8170,c_16658]) ).
tcf(c_83053,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_18,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8170,c_105]) ).
tcf(c_83054,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8170,c_2917]) ).
tcf(c_83065,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_83054,c_7388]) ).
tcf(c_83089,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65423,c_78016]) ).
tcf(c_83094,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52767,c_78016]) ).
tcf(c_83098,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_78016,c_16658]) ).
tcf(c_83100,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_78016,c_2920]) ).
tcf(c_83114,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_78018]) ).
tcf(c_83147,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65423,c_78018]) ).
tcf(c_83152,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52767,c_78018]) ).
tcf(c_83156,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_78018,c_16658]) ).
tcf(c_83158,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_78018,c_2901]) ).
tcf(c_83159,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_78018,c_2900]) ).
tcf(c_83160,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_78018,c_2898]) ).
tcf(c_83161,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_78018,c_2896]) ).
tcf(c_83169,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_83161,c_12244]) ).
tcf(c_83172,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_83160,c_12854]) ).
tcf(c_83175,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_83159,c_13499]) ).
tcf(c_83178,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_83158,c_14259]) ).
tcf(c_83211,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26837,c_79517]) ).
tcf(c_83212,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26835,c_79517]) ).
tcf(c_83213,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26833,c_79517]) ).
tcf(c_83223,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_79517,c_647]) ).
tcf(c_83225,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_79517,c_644]) ).
tcf(c_83226,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_79517,c_16658]) ).
tcf(c_83227,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_79517,c_105]) ).
tcf(c_83228,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_79517,c_643]) ).
tcf(c_83229,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_79517,c_646]) ).
tcf(c_83230,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_79517,c_7323]) ).
tcf(c_83232,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_79517,c_8103]) ).
tcf(c_83235,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = identity ) ),
inference(superposition,[status(thm)],[c_79517,c_68727]) ).
tcf(c_83236,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = identity ) ),
inference(superposition,[status(thm)],[c_79517,c_67688]) ).
tcf(c_83596,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_83236,c_68727]) ).
tcf(c_83597,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_68579]) ).
tcf(c_83599,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_83236,c_67688]) ).
tcf(c_83600,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_67412]) ).
tcf(c_83602,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_83236,c_65061]) ).
tcf(c_83603,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_83236,c_65058]) ).
tcf(c_83604,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83236,c_65055]) ).
tcf(c_83605,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_83236,c_65052]) ).
tcf(c_83606,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_65044]) ).
tcf(c_83607,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_54461]) ).
tcf(c_83609,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_53942]) ).
tcf(c_83615,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_7973]) ).
tcf(c_83617,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_7969]) ).
tcf(c_83618,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_7965]) ).
tcf(c_83620,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_83236,c_31686]) ).
tcf(c_83621,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_83236,c_31683]) ).
tcf(c_83622,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83236,c_31680]) ).
tcf(c_83623,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_83236,c_31677]) ).
tcf(c_83625,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_31671]) ).
tcf(c_83626,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_83236,c_36104]) ).
tcf(c_83628,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_20360]) ).
tcf(c_83634,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_18905]) ).
tcf(c_83636,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_18306]) ).
tcf(c_83639,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_83236,c_14691]) ).
tcf(c_83640,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_83236,c_14688]) ).
tcf(c_83641,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83236,c_14685]) ).
tcf(c_83642,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_83236,c_14682]) ).
tcf(c_83643,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_14676]) ).
tcf(c_83644,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_83236,c_14053]) ).
tcf(c_83645,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83236,c_14048]) ).
tcf(c_83646,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_83236,c_14045]) ).
tcf(c_83647,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_14039]) ).
tcf(c_83648,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_83236,c_21947]) ).
tcf(c_83663,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_3028]) ).
tcf(c_83673,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(identity,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_83236,c_2895]) ).
tcf(c_83674,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(identity,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_83236,c_2894]) ).
tcf(c_83675,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_2862]) ).
tcf(c_83690,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_83236,c_1947]) ).
tcf(c_83700,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_83236,c_646]) ).
tcf(c_83716,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_83236,c_638]) ).
tcf(c_83719,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_83236,c_656]) ).
tcf(c_83720,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_627]) ).
tcf(c_83722,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_83236,c_651]) ).
tcf(c_83746,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_83674,c_103]) ).
tcf(c_83749,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_26,X0) ) ),
inference(light_normalisation,[status(thm)],[c_83673,c_103]) ).
tcf(c_83786,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( X0 != sk_c10 )
| ( inverse(X0) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_83700,c_17582]) ).
tcf(c_84004,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_83690,c_18690]) ).
tcf(c_84005,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_83690,c_18689]) ).
tcf(c_84006,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_83690,c_18688]) ).
tcf(c_84007,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_83690,c_18104]) ).
tcf(c_84008,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_83690,c_18103]) ).
tcf(c_84009,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_83690,c_18102]) ).
tcf(c_84011,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_83690,c_17582]) ).
tcf(c_84012,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_83690,c_103]) ).
tcf(c_84148,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_81177]) ).
tcf(c_84149,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_81177]) ).
tcf(c_84150,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_81177]) ).
tcf(c_84160,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_81177,c_16658]) ).
tcf(c_84162,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_81177,c_643]) ).
tcf(c_84164,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81177,c_28412]) ).
tcf(c_84173,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81177,c_28391]) ).
tcf(c_84174,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81177,c_28390]) ).
tcf(c_84175,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_81177,c_28389]) ).
tcf(c_84255,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_84164,c_8651]) ).
tcf(c_84287,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_84164,c_20355]) ).
tcf(c_84291,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_84164,c_18900]) ).
tcf(c_84292,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_84164,c_18301]) ).
tcf(c_84304,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_84164,c_13499]) ).
tcf(c_84305,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_84164,c_2900]) ).
tcf(c_84306,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_84164,c_2857]) ).
tcf(c_84309,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_84164,c_2915]) ).
tcf(c_84310,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_84164,c_1261]) ).
tcf(c_84312,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_84164,c_641]) ).
tcf(c_84315,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = identity ) ),
inference(light_normalisation,[status(thm)],[c_84310,c_7320]) ).
tcf(c_84322,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_84309,c_7323]) ).
tcf(c_84338,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = sk_c10 ) ),
inference(instantiation,[status(thm)],[c_84322]) ).
tcf(c_84412,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14668,c_8182]) ).
tcf(c_84413,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8182,c_16658]) ).
tcf(c_84414,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8182,c_105]) ).
tcf(c_84416,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_8182,c_8134]) ).
tcf(c_84417,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8182,c_19618]) ).
tcf(c_84418,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_84417,c_12804]) ).
tcf(c_84423,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_84416,c_13432]) ).
tcf(c_84597,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26837,c_84312]) ).
tcf(c_84598,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26835,c_84312]) ).
tcf(c_84599,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26833,c_84312]) ).
tcf(c_84611,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84312,c_643]) ).
tcf(c_84642,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_82067,c_17582]) ).
tcf(c_84692,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_84642,c_28672]) ).
tcf(c_84693,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_84642,c_28669]) ).
tcf(c_84700,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_84642,c_14259]) ).
tcf(c_84701,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_84642,c_2901]) ).
tcf(c_84704,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_84642,c_2914]) ).
tcf(c_84705,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_84642,c_1262]) ).
tcf(c_84707,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_84642,c_629]) ).
tcf(c_84773,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57810,c_84707]) ).
tcf(c_84775,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56253,c_84707]) ).
tcf(c_84782,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84707,c_643]) ).
tcf(c_84807,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_84707,c_28394]) ).
tcf(c_84808,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_84707,c_28393]) ).
tcf(c_84809,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_84707,c_28392]) ).
tcf(c_84983,plain,
( ( identity = iPr_def_15 )
| ( iPr_def_15 != sk_c9 )
| ( identity != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_3464]) ).
tcf(c_84988,plain,
! [X0: $i] :
( ( identity = X0 )
| ( identity != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_2110]) ).
tcf(c_84989,plain,
! [X0: $i] :
( ( X0 = identity )
| ( identity != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1681]) ).
tcf(c_84990,plain,
( ( sk_c10 = identity )
| ( identity != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_84989]) ).
tcf(c_84991,plain,
( ( identity = sk_c10 )
| ( identity != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_84988]) ).
tcf(c_85055,plain,
! [X0: $i] :
( ( sk_c1 = X0 )
| ( sk_c1 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_35714]) ).
tcf(c_85056,plain,
! [X0: $i] :
( ( X0 = sk_c1 )
| ( sk_c1 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_13104]) ).
tcf(c_85057,plain,
( ( sk_c10 = sk_c1 )
| ( sk_c1 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_85056]) ).
tcf(c_85058,plain,
( ( sk_c1 = sk_c10 )
| ( sk_c1 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_85055]) ).
tcf(c_85075,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c4 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_82068,c_17582]) ).
tcf(c_85088,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_85075,c_20357]) ).
tcf(c_85089,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_85075,c_18902]) ).
tcf(c_85090,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_85075,c_18303]) ).
tcf(c_85094,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_85075,c_18666]) ).
tcf(c_85095,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_85075,c_18663]) ).
tcf(c_85101,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_85075,c_3025]) ).
tcf(c_85102,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_85075,c_12244]) ).
tcf(c_85103,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_85075,c_2896]) ).
tcf(c_85104,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_85075,c_2859]) ).
tcf(c_85106,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_85075,c_2919]) ).
tcf(c_85107,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_85075,c_1257]) ).
tcf(c_85108,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_85075,c_636]) ).
tcf(c_85109,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_85075,c_635]) ).
tcf(c_85180,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84315,c_63895]) ).
tcf(c_85181,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84315,c_63832]) ).
tcf(c_85196,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_84315,c_8026]) ).
tcf(c_85202,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_84315,c_44042]) ).
tcf(c_85204,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_84315,c_38566]) ).
tcf(c_85213,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_84315,c_7950]) ).
tcf(c_85222,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(identity)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84315,c_2792]) ).
tcf(c_85223,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84315,c_3768]) ).
tcf(c_85224,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84315,c_35960]) ).
tcf(c_85229,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_31378]) ).
tcf(c_85230,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_20777]) ).
tcf(c_85232,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_20129]) ).
tcf(c_85233,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_19788]) ).
tcf(c_85236,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_84315,c_19642]) ).
tcf(c_85238,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_84315,c_18691]) ).
tcf(c_85239,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_84315,c_18105]) ).
tcf(c_85242,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_84315,c_16676]) ).
tcf(c_85248,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_5273]) ).
tcf(c_85253,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_4227]) ).
tcf(c_85255,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_3396]) ).
tcf(c_85257,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(identity,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_84315,c_2901]) ).
tcf(c_85259,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(identity,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_84315,c_2900]) ).
tcf(c_85260,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(identity,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_84315,c_2898]) ).
tcf(c_85261,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(identity,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_84315,c_2896]) ).
tcf(c_85262,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_84315,c_2894]) ).
tcf(c_85263,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_2241]) ).
tcf(c_85264,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_2173]) ).
tcf(c_85265,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_2077]) ).
tcf(c_85266,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1996]) ).
tcf(c_85268,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1885]) ).
tcf(c_85271,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1720]) ).
tcf(c_85273,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1650]) ).
tcf(c_85274,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1586]) ).
tcf(c_85275,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1541]) ).
tcf(c_85277,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1448]) ).
tcf(c_85279,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1343]) ).
tcf(c_85280,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1305]) ).
tcf(c_85281,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1272]) ).
tcf(c_85286,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1167]) ).
tcf(c_85287,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_1135]) ).
tcf(c_85297,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,identity) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_84315,c_647]) ).
tcf(c_85298,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84315,c_645]) ).
tcf(c_85305,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84315,c_644]) ).
tcf(c_85306,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_84315,c_640]) ).
tcf(c_85307,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84315,c_639]) ).
tcf(c_85308,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_84315,c_636]) ).
tcf(c_85309,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_84315,c_632]) ).
tcf(c_85311,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84315,c_627]) ).
tcf(c_85312,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_84315,c_654]) ).
tcf(c_85337,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_85242,c_17605]) ).
tcf(c_85405,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_85261,c_103]) ).
tcf(c_85408,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_85260,c_103]) ).
tcf(c_85411,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_85259,c_103]) ).
tcf(c_85414,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_85257,c_103]) ).
tcf(c_85427,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_85222,c_17605]) ).
tcf(c_85437,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( X0 != sk_c11 )
| ( inverse(X0) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_85305,c_17582]) ).
tcf(c_85442,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( X0 != sk_c11 )
| ( inverse(X0) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_85298,c_17582]) ).
tcf(c_85447,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( X0 != sk_c9 )
| ( inverse(X0) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_85297,c_17582]) ).
tcf(c_85654,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_82838]) ).
tcf(c_85655,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26835,c_82838]) ).
tcf(c_85656,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_82838]) ).
tcf(c_85666,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_82838,c_16658]) ).
tcf(c_85667,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_82838,c_104]) ).
tcf(c_85668,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_82838,c_643]) ).
tcf(c_85673,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_82838,c_28408]) ).
tcf(c_85680,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_82838,c_28391]) ).
tcf(c_85681,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_82838,c_28390]) ).
tcf(c_85682,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_82838,c_28389]) ).
tcf(c_85849,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_85673,c_50965]) ).
tcf(c_85869,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_85673,c_20355]) ).
tcf(c_85871,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_85673,c_27711]) ).
tcf(c_85872,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_85673,c_27708]) ).
tcf(c_85873,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_85673,c_18900]) ).
tcf(c_85874,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_85673,c_18301]) ).
tcf(c_85884,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_85673,c_3100]) ).
tcf(c_85886,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_85673,c_13499]) ).
tcf(c_85887,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_85673,c_2900]) ).
tcf(c_85891,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_85673,c_2915]) ).
tcf(c_85892,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_85673,c_1261]) ).
tcf(c_85894,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_85673,c_641]) ).
tcf(c_85897,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = identity ) ),
inference(light_normalisation,[status(thm)],[c_85892,c_7320]) ).
tcf(c_85906,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_85891,c_7323]) ).
tcf(c_85924,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = sk_c10 ) ),
inference(instantiation,[status(thm)],[c_85906]) ).
tcf(c_85966,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_78018]) ).
tcf(c_85971,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_85897,c_59721]) ).
tcf(c_85972,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_85897,c_59647]) ).
tcf(c_85983,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_85897,c_8026]) ).
tcf(c_85992,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_85897,c_38418]) ).
tcf(c_85995,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_85897,c_36869]) ).
tcf(c_86000,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_85897,c_7950]) ).
tcf(c_86009,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(identity)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_85897,c_2792]) ).
tcf(c_86010,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_85897,c_3768]) ).
tcf(c_86011,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_85897,c_35960]) ).
tcf(c_86016,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_31378]) ).
tcf(c_86017,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_20777]) ).
tcf(c_86019,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_20129]) ).
tcf(c_86020,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_19788]) ).
tcf(c_86023,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_85897,c_19642]) ).
tcf(c_86025,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_85897,c_18691]) ).
tcf(c_86026,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_85897,c_18105]) ).
tcf(c_86029,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(identity),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_85897,c_16676]) ).
tcf(c_86044,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(identity,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_85897,c_2901]) ).
tcf(c_86046,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(identity,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_85897,c_2900]) ).
tcf(c_86047,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,multiply(identity,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_85897,c_2898]) ).
tcf(c_86048,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,multiply(identity,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_85897,c_2896]) ).
tcf(c_86049,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_85897,c_2894]) ).
tcf(c_86050,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_2241]) ).
tcf(c_86051,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_2173]) ).
tcf(c_86052,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_2077]) ).
tcf(c_86053,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1996]) ).
tcf(c_86054,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85897,c_1950]) ).
tcf(c_86055,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1885]) ).
tcf(c_86057,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85897,c_1798]) ).
tcf(c_86058,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1720]) ).
tcf(c_86060,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1650]) ).
tcf(c_86061,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1586]) ).
tcf(c_86062,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1541]) ).
tcf(c_86063,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85897,c_1497]) ).
tcf(c_86064,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1448]) ).
tcf(c_86065,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85897,c_1389]) ).
tcf(c_86066,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1343]) ).
tcf(c_86067,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1305]) ).
tcf(c_86068,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1272]) ).
tcf(c_86073,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1167]) ).
tcf(c_86074,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_1135]) ).
tcf(c_86084,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,identity) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_85897,c_647]) ).
tcf(c_86085,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_85897,c_645]) ).
tcf(c_86089,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_85897,c_1040]) ).
tcf(c_86092,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_85897,c_644]) ).
tcf(c_86093,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_85897,c_640]) ).
tcf(c_86094,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_85897,c_639]) ).
tcf(c_86095,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_85897,c_636]) ).
tcf(c_86096,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85897,c_632]) ).
tcf(c_86098,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_627]) ).
tcf(c_86099,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_85897,c_654]) ).
tcf(c_86122,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_86029,c_17605]) ).
tcf(c_86202,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_86048,c_103]) ).
tcf(c_86205,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_86047,c_103]) ).
tcf(c_86208,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_86046,c_103]) ).
tcf(c_86211,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_86044,c_103]) ).
tcf(c_86223,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_86010,c_17605]) ).
tcf(c_86228,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_86009,c_17605]) ).
tcf(c_86238,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( X0 != sk_c11 )
| ( inverse(X0) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_86092,c_17582]) ).
tcf(c_86243,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( X0 != sk_c11 )
| ( inverse(X0) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_86085,c_17582]) ).
tcf(c_86248,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( X0 != sk_c9 )
| ( inverse(X0) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_86084,c_17582]) ).
tcf(c_86395,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14668,c_8183]) ).
tcf(c_86396,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8183,c_16658]) ).
tcf(c_86397,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8183,c_105]) ).
tcf(c_86399,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_8183,c_8134]) ).
tcf(c_86400,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8183,c_19618]) ).
tcf(c_86401,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_86400,c_12804]) ).
tcf(c_86406,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_86399,c_13432]) ).
tcf(c_86427,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_85109,c_643]) ).
tcf(c_86428,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_85109,c_18811]) ).
tcf(c_86429,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_85109,c_18774]) ).
tcf(c_86430,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_85109,c_18748]) ).
tcf(c_86475,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26837,c_85894]) ).
tcf(c_86476,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26835,c_85894]) ).
tcf(c_86477,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26833,c_85894]) ).
tcf(c_86489,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_85894,c_643]) ).
tcf(c_86521,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_82069,c_17582]) ).
tcf(c_86561,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_86521,c_3964]) ).
tcf(c_86562,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_86521,c_35741]) ).
tcf(c_86563,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_86521,c_35327]) ).
tcf(c_86569,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_86521,c_23284]) ).
tcf(c_86570,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86521,c_20358]) ).
tcf(c_86571,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86521,c_18903]) ).
tcf(c_86572,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86521,c_18304]) ).
tcf(c_86579,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_86521,c_16680]) ).
tcf(c_86586,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86521,c_3026]) ).
tcf(c_86587,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_86521,c_2899]) ).
tcf(c_86588,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_86521,c_12854]) ).
tcf(c_86591,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_86521,c_2898]) ).
tcf(c_86592,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_86521,c_2897]) ).
tcf(c_86595,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86521,c_2860]) ).
tcf(c_86603,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_86521,c_679]) ).
tcf(c_86605,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86521,c_669]) ).
tcf(c_86606,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_86521,c_634]) ).
tcf(c_86607,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86521,c_632]) ).
tcf(c_86608,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_86521,c_628]) ).
tcf(c_86610,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_86521,c_659]) ).
tcf(c_86612,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_86521,c_649]) ).
tcf(c_86613,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c10) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_86608,c_13432]) ).
tcf(c_86618,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_86606,c_12804]) ).
tcf(c_86648,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,multiply(sk_c10,X0)) = multiply(iPr_def_22,X0) ) ),
inference(light_normalisation,[status(thm)],[c_86592,c_12891]) ).
tcf(c_86653,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(sk_c10,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_86587,c_13436]) ).
tcf(c_86715,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_86089,c_31598]) ).
tcf(c_86735,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_86089,c_17582]) ).
tcf(c_86756,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_84775,c_16658]) ).
tcf(c_86758,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84775,c_643]) ).
tcf(c_86808,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53887,c_8665]) ).
tcf(c_86825,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8665,c_16658]) ).
tcf(c_86828,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_29,sk_c10) ) ),
inference(superposition,[status(thm)],[c_8665,c_7323]) ).
tcf(c_86869,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_62604,c_8667]) ).
tcf(c_86886,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_8667,c_16658]) ).
tcf(c_86887,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_8667,c_105]) ).
tcf(c_86888,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8667,c_79517]) ).
tcf(c_86889,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_29,identity) ) ),
inference(superposition,[status(thm)],[c_8667,c_7323]) ).
tcf(c_86953,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14668,c_8184]) ).
tcf(c_86954,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8184,c_16658]) ).
tcf(c_86955,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8184,c_105]) ).
tcf(c_86957,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_8184,c_8134]) ).
tcf(c_86958,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8184,c_19618]) ).
tcf(c_86959,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_86958,c_12804]) ).
tcf(c_86964,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_86957,c_13432]) ).
tcf(c_87044,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26837,c_82840]) ).
tcf(c_87045,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26835,c_82840]) ).
tcf(c_87046,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26833,c_82840]) ).
tcf(c_87056,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_82840,c_647]) ).
tcf(c_87058,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_82840,c_644]) ).
tcf(c_87059,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_82840,c_16658]) ).
tcf(c_87060,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_82840,c_105]) ).
tcf(c_87061,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_82840,c_643]) ).
tcf(c_87062,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_82840,c_646]) ).
tcf(c_87063,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_82840,c_7323]) ).
tcf(c_87066,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_82840,c_8103]) ).
tcf(c_87069,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = identity ) ),
inference(superposition,[status(thm)],[c_82840,c_72357]) ).
tcf(c_87070,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = identity ) ),
inference(superposition,[status(thm)],[c_82840,c_68727]) ).
tcf(c_87072,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_82840,c_65061]) ).
tcf(c_87075,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82840,c_50970]) ).
tcf(c_87172,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c3 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_83716,c_17582]) ).
tcf(c_87183,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_20775]) ).
tcf(c_87184,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_20125]) ).
tcf(c_87185,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_19784]) ).
tcf(c_87187,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87172,c_18082]) ).
tcf(c_87188,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_87172,c_18079]) ).
tcf(c_87191,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_5758]) ).
tcf(c_87194,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_5269]) ).
tcf(c_87196,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_4473]) ).
tcf(c_87198,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_4223]) ).
tcf(c_87199,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_3505]) ).
tcf(c_87200,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_3394]) ).
tcf(c_87201,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_87172,c_2895]) ).
tcf(c_87202,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_2237]) ).
tcf(c_87203,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_2169]) ).
tcf(c_87204,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_2073]) ).
tcf(c_87205,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1992]) ).
tcf(c_87206,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1881]) ).
tcf(c_87207,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1716]) ).
tcf(c_87208,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1646]) ).
tcf(c_87209,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1582]) ).
tcf(c_87210,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1537]) ).
tcf(c_87211,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1444]) ).
tcf(c_87212,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1341]) ).
tcf(c_87213,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1303]) ).
tcf(c_87214,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1270]) ).
tcf(c_87217,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1230]) ).
tcf(c_87218,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_1229]) ).
tcf(c_87219,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87172,c_2920]) ).
tcf(c_87220,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_87172,c_1256]) ).
tcf(c_87221,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87172,c_638]) ).
tcf(c_87222,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87172,c_637]) ).
tcf(c_87236,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c11,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_87219,c_7633]) ).
tcf(c_87880,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_666,c_40722]) ).
tcf(c_87881,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_664,c_40722]) ).
tcf(c_87882,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_663,c_40722]) ).
tcf(c_87883,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_661,c_40722]) ).
tcf(c_88113,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_87222,c_643]) ).
tcf(c_88114,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_87222,c_18214]) ).
tcf(c_88115,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_87222,c_18199]) ).
tcf(c_88116,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_87222,c_18184]) ).
tcf(c_88298,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_67407]) ).
tcf(c_88300,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86888,c_8103]) ).
tcf(c_88310,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_53937]) ).
tcf(c_88313,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_50965]) ).
tcf(c_88315,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_48872]) ).
tcf(c_88316,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_46748]) ).
tcf(c_88318,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_44757]) ).
tcf(c_88333,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_20355]) ).
tcf(c_88335,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86888,c_27711]) ).
tcf(c_88336,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_86888,c_27708]) ).
tcf(c_88337,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_18900]) ).
tcf(c_88338,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_18301]) ).
tcf(c_88349,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_3023]) ).
tcf(c_88350,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_86888,c_13499]) ).
tcf(c_88351,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_86888,c_2900]) ).
tcf(c_88355,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86888,c_2915]) ).
tcf(c_88356,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,identity) = identity ) ),
inference(superposition,[status(thm)],[c_86888,c_1261]) ).
tcf(c_88357,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_86888,c_640]) ).
tcf(c_88358,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_86888,c_641]) ).
tcf(c_88529,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_87069,c_72357]) ).
tcf(c_88531,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_87069,c_68727]) ).
tcf(c_88532,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_68579]) ).
tcf(c_88537,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_87069,c_65061]) ).
tcf(c_88538,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_87069,c_65058]) ).
tcf(c_88539,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87069,c_65055]) ).
tcf(c_88540,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_87069,c_65052]) ).
tcf(c_88541,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_65044]) ).
tcf(c_88542,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_54461]) ).
tcf(c_88547,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_50970]) ).
tcf(c_88550,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_7973]) ).
tcf(c_88552,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_7969]) ).
tcf(c_88553,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_7965]) ).
tcf(c_88555,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_87069,c_31686]) ).
tcf(c_88556,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_87069,c_31683]) ).
tcf(c_88557,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87069,c_31680]) ).
tcf(c_88558,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_87069,c_31677]) ).
tcf(c_88559,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(identity)) != identity ) ),
inference(superposition,[status(thm)],[c_87069,c_3771]) ).
tcf(c_88560,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_31671]) ).
tcf(c_88563,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_20360]) ).
tcf(c_88568,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_87069,c_13385]) ).
tcf(c_88569,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_18905]) ).
tcf(c_88571,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_18306]) ).
tcf(c_88579,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_87069,c_14053]) ).
tcf(c_88580,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87069,c_14048]) ).
tcf(c_88581,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_87069,c_14045]) ).
tcf(c_88582,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_14039]) ).
tcf(c_88583,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_87069,c_21947]) ).
tcf(c_88587,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_87069,c_19640]) ).
tcf(c_88597,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_3105]) ).
tcf(c_88608,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,multiply(identity,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_87069,c_2895]) ).
tcf(c_88609,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,multiply(identity,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_87069,c_2894]) ).
tcf(c_88610,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_2862]) ).
tcf(c_88635,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_87069,c_646]) ).
tcf(c_88638,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87069,c_687]) ).
tcf(c_88639,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87069,c_686]) ).
tcf(c_88640,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87069,c_684]) ).
tcf(c_88641,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_87069,c_683]) ).
tcf(c_88642,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_87069,c_681]) ).
tcf(c_88651,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87069,c_638]) ).
tcf(c_88654,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_87069,c_656]) ).
tcf(c_88655,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87069,c_627]) ).
tcf(c_88657,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_87069,c_651]) ).
tcf(c_88695,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_88609,c_103]) ).
tcf(c_88698,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_26,X0) ) ),
inference(light_normalisation,[status(thm)],[c_88608,c_103]) ).
tcf(c_88738,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_88559,c_17605]) ).
tcf(c_88742,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( X0 != sk_c10 )
| ( inverse(X0) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_88635,c_17582]) ).
tcf(c_88946,plain,
! [X0: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != sk_c11 )
| ( X0 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_38014]) ).
tcf(c_89039,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_87072,c_65058]) ).
tcf(c_89040,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87072,c_65055]) ).
tcf(c_89041,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_87072,c_65052]) ).
tcf(c_89042,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87072,c_65044]) ).
tcf(c_89048,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87072,c_50970]) ).
tcf(c_89062,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_87072,c_36104]) ).
tcf(c_89069,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_87072,c_13385]) ).
tcf(c_89070,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87072,c_18905]) ).
tcf(c_89072,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87072,c_18306]) ).
tcf(c_89097,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87072,c_3105]) ).
tcf(c_89104,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_87072,c_2895]) ).
tcf(c_89105,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_87072,c_2894]) ).
tcf(c_89116,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_87072,c_2167]) ).
tcf(c_89117,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_87072,c_2162]) ).
tcf(c_89121,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_87072,c_1883]) ).
tcf(c_89122,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_87072,c_1877]) ).
tcf(c_89124,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_87072,c_1644]) ).
tcf(c_89127,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_87072,c_1446]) ).
tcf(c_89128,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_87072,c_646]) ).
tcf(c_89139,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87072,c_638]) ).
tcf(c_89143,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87072,c_627]) ).
tcf(c_89331,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_87075,c_65061]) ).
tcf(c_89332,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_87075,c_65058]) ).
tcf(c_89333,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87075,c_65055]) ).
tcf(c_89334,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_87075,c_65052]) ).
tcf(c_89335,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_65044]) ).
tcf(c_89337,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_8049]) ).
tcf(c_89339,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_8045]) ).
tcf(c_89340,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_8041]) ).
tcf(c_89341,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_50970]) ).
tcf(c_89344,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_7973]) ).
tcf(c_89346,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_7969]) ).
tcf(c_89347,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_7965]) ).
tcf(c_89349,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_87075,c_31686]) ).
tcf(c_89350,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_87075,c_31683]) ).
tcf(c_89351,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87075,c_31680]) ).
tcf(c_89352,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_87075,c_31677]) ).
tcf(c_89354,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_31671]) ).
tcf(c_89357,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_20360]) ).
tcf(c_89362,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_87075,c_13385]) ).
tcf(c_89363,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_18905]) ).
tcf(c_89364,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_18306]) ).
tcf(c_89388,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87075,c_3105]) ).
tcf(c_89399,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_87075,c_2895]) ).
tcf(c_89400,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_87075,c_2894]) ).
tcf(c_89426,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_87075,c_646]) ).
tcf(c_89445,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_87075,c_656]) ).
tcf(c_89447,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_87075,c_653]) ).
tcf(c_89448,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_87075,c_651]) ).
tcf(c_89990,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88638,c_85897]) ).
tcf(c_89992,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88638,c_78018]) ).
tcf(c_89998,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_88638,c_59721]) ).
tcf(c_89999,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_88638,c_59647]) ).
tcf(c_90004,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_64278]) ).
tcf(c_90005,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_64122]) ).
tcf(c_90006,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_61030]) ).
tcf(c_90009,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_59515]) ).
tcf(c_90012,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_55675]) ).
tcf(c_90019,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_88638,c_38418]) ).
tcf(c_90021,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_50112]) ).
tcf(c_90022,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_88638,c_36869]) ).
tcf(c_90023,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_48188]) ).
tcf(c_90028,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_46211]) ).
tcf(c_90031,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_44501]) ).
tcf(c_90034,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_26)) != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88638,c_3968]) ).
tcf(c_90035,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88638,c_3562]) ).
tcf(c_90036,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88638,c_2792]) ).
tcf(c_90037,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88638,c_3768]) ).
tcf(c_90038,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_26 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88638,c_35960]) ).
tcf(c_90056,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_88638,c_16676]) ).
tcf(c_90070,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_14575]) ).
tcf(c_90071,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_88638,c_2901]) ).
tcf(c_90072,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_11846]) ).
tcf(c_90073,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_88638,c_2900]) ).
tcf(c_90074,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_88638,c_2898]) ).
tcf(c_90075,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_88638,c_2896]) ).
tcf(c_90076,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_88638,c_2894]) ).
tcf(c_90081,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88638,c_1950]) ).
tcf(c_90084,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88638,c_1798]) ).
tcf(c_90089,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88638,c_1497]) ).
tcf(c_90091,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88638,c_1389]) ).
tcf(c_90097,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88638,c_1194]) ).
tcf(c_90098,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88638,c_1193]) ).
tcf(c_90107,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_88638,c_647]) ).
tcf(c_90108,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88638,c_645]) ).
tcf(c_90112,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_1040]) ).
tcf(c_90113,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88638,c_1032]) ).
tcf(c_90115,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88638,c_644]) ).
tcf(c_90116,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_88638,c_640]) ).
tcf(c_90117,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_88638,c_639]) ).
tcf(c_90118,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88638,c_636]) ).
tcf(c_90119,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88638,c_632]) ).
tcf(c_90120,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88638,c_627]) ).
tcf(c_90121,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_88638,c_654]) ).
tcf(c_90399,plain,
! [X0: $i] :
( ( X0 = iPr_def_29 )
| ( iPr_def_29 != sk_c11 )
| ( X0 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_38287]) ).
tcf(c_90442,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_39452,c_40726]) ).
tcf(c_90443,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( iPr_def_27 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_39190,c_40726]) ).
tcf(c_90452,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_676,c_40726]) ).
tcf(c_90453,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_674,c_40726]) ).
tcf(c_90454,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_673,c_40726]) ).
tcf(c_90455,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_671,c_40726]) ).
tcf(c_90785,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88639,c_87075]) ).
tcf(c_90786,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88639,c_87072]) ).
tcf(c_90787,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( identity = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88639,c_87069]) ).
tcf(c_90789,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_88639,c_72357]) ).
tcf(c_90790,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88639,c_80289]) ).
tcf(c_90793,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88639,c_78542]) ).
tcf(c_90796,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88639,c_77003]) ).
tcf(c_90797,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_88639,c_65061]) ).
tcf(c_90798,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_88639,c_65058]) ).
tcf(c_90799,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88639,c_65055]) ).
tcf(c_90800,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88639,c_65052]) ).
tcf(c_90801,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88639,c_65044]) ).
tcf(c_90806,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88639,c_8041]) ).
tcf(c_90807,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88639,c_50970]) ).
tcf(c_90812,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88639,c_7969]) ).
tcf(c_90819,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_25)) != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88639,c_3771]) ).
tcf(c_90821,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88639,c_36104]) ).
tcf(c_90822,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88639,c_35440]) ).
tcf(c_90825,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_88639,c_13389]) ).
tcf(c_90826,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_88639,c_13387]) ).
tcf(c_90828,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_88639,c_13385]) ).
tcf(c_90829,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88639,c_18905]) ).
tcf(c_90857,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88639,c_3105]) ).
tcf(c_90868,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_88639,c_2895]) ).
tcf(c_90869,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_88639,c_2894]) ).
tcf(c_90891,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_88639,c_646]) ).
tcf(c_90907,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88639,c_638]) ).
tcf(c_90910,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88639,c_627]) ).
tcf(c_90911,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_88639,c_653]) ).
tcf(c_90912,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_88639,c_651]) ).
tcf(c_90980,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_90868,c_18082]) ).
tcf(c_91010,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_90819,c_637,c_18150]) ).
tcf(c_91063,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_88638]) ).
tcf(c_91064,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88640,c_85897]) ).
tcf(c_91066,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88640,c_78018]) ).
tcf(c_91072,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_88640,c_59721]) ).
tcf(c_91073,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_88640,c_59647]) ).
tcf(c_91078,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_64278]) ).
tcf(c_91079,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_64122]) ).
tcf(c_91080,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_61030]) ).
tcf(c_91083,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_59515]) ).
tcf(c_91093,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_88640,c_38418]) ).
tcf(c_91095,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_50112]) ).
tcf(c_91096,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_88640,c_36869]) ).
tcf(c_91097,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_48188]) ).
tcf(c_91102,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_46211]) ).
tcf(c_91108,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88640,c_3968]) ).
tcf(c_91109,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88640,c_3562]) ).
tcf(c_91110,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88640,c_2792]) ).
tcf(c_91111,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88640,c_3768]) ).
tcf(c_91112,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_23 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88640,c_35960]) ).
tcf(c_91130,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_88640,c_16676]) ).
tcf(c_91144,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_14575]) ).
tcf(c_91145,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_88640,c_2901]) ).
tcf(c_91146,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_11846]) ).
tcf(c_91147,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_88640,c_2900]) ).
tcf(c_91148,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_88640,c_2898]) ).
tcf(c_91149,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_88640,c_2896]) ).
tcf(c_91150,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_88640,c_2894]) ).
tcf(c_91155,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88640,c_1950]) ).
tcf(c_91157,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88640,c_1798]) ).
tcf(c_91163,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88640,c_1497]) ).
tcf(c_91165,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88640,c_1389]) ).
tcf(c_91171,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88640,c_1194]) ).
tcf(c_91172,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88640,c_1193]) ).
tcf(c_91181,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_88640,c_647]) ).
tcf(c_91182,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88640,c_645]) ).
tcf(c_91186,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_1040]) ).
tcf(c_91187,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88640,c_1032]) ).
tcf(c_91189,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88640,c_644]) ).
tcf(c_91190,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_88640,c_640]) ).
tcf(c_91191,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_88640,c_639]) ).
tcf(c_91192,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88640,c_636]) ).
tcf(c_91193,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88640,c_632]) ).
tcf(c_91195,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88640,c_627]) ).
tcf(c_91220,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_91192,c_18663]) ).
tcf(c_91304,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_91149,c_18666]) ).
tcf(c_91322,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != sk_c4 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_91111,c_19276]) ).
tcf(c_91328,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_91110,c_635,c_19276]) ).
tcf(c_91334,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_91109,c_635,c_19276]) ).
tcf(c_91339,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_91108,c_635,c_19276]) ).
tcf(c_91554,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88641,c_88639]) ).
tcf(c_91555,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88641,c_87075]) ).
tcf(c_91556,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88641,c_87072]) ).
tcf(c_91559,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_88641,c_72357]) ).
tcf(c_91560,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88641,c_80289]) ).
tcf(c_91563,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88641,c_78542]) ).
tcf(c_91566,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88641,c_77003]) ).
tcf(c_91567,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_88641,c_65061]) ).
tcf(c_91568,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_88641,c_65058]) ).
tcf(c_91569,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88641,c_65055]) ).
tcf(c_91570,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_88641,c_65052]) ).
tcf(c_91571,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88641,c_65044]) ).
tcf(c_91574,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88641,c_50970]) ).
tcf(c_91588,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_88641,c_36104]) ).
tcf(c_91589,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_88641,c_35440]) ).
tcf(c_91592,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_88641,c_13389]) ).
tcf(c_91593,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_88641,c_13387]) ).
tcf(c_91595,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_88641,c_13385]) ).
tcf(c_91624,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88641,c_3105]) ).
tcf(c_91635,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_88641,c_2895]) ).
tcf(c_91636,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_88641,c_2894]) ).
tcf(c_91658,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_88641,c_646]) ).
tcf(c_91674,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88641,c_638]) ).
tcf(c_91678,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88641,c_627]) ).
tcf(c_91679,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_88641,c_651]) ).
tcf(c_91994,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_88642,c_88641]) ).
tcf(c_92137,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14668,c_8185]) ).
tcf(c_92138,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8185,c_16658]) ).
tcf(c_92139,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8185,c_105]) ).
tcf(c_92141,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_8185,c_8134]) ).
tcf(c_92142,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8185,c_19618]) ).
tcf(c_92143,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_92142,c_12804]) ).
tcf(c_92148,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_92141,c_13432]) ).
tcf(c_92199,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26130,c_84012]) ).
tcf(c_92200,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26127,c_84012]) ).
tcf(c_92201,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26125,c_84012]) ).
tcf(c_92223,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_84012,c_647]) ).
tcf(c_92225,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84012,c_644]) ).
tcf(c_92226,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_84012,c_16658]) ).
tcf(c_92227,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_84012,c_105]) ).
tcf(c_92228,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84012,c_643]) ).
tcf(c_92229,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_84012,c_646]) ).
tcf(c_92245,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_84012,c_7323]) ).
tcf(c_92252,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_84012,c_27711]) ).
tcf(c_92273,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != sk_c1 )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_92229,c_28387]) ).
tcf(c_92278,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != sk_c1 )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_92225,c_28387]) ).
tcf(c_92283,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c10 != sk_c1 )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_92223,c_28387]) ).
tcf(c_92288,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(X0) != iPr_def_29 )
| ( inverse(X0) != sk_c1 )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_92228,c_641,c_28387]) ).
tcf(c_92301,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(sk_c10) != iPr_def_29 )
| ( inverse(sk_c10) != sk_c1 )
| ( multiply(sk_c10,inverse(sk_c10)) != sk_c11 )
| ( multiply(inverse(sk_c10),sk_c10) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_92288]) ).
tcf(c_92349,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_85108,c_647]) ).
tcf(c_92350,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_85108,c_645]) ).
tcf(c_92351,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_85108,c_644]) ).
tcf(c_92352,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_85108,c_16658]) ).
tcf(c_92357,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_85108,c_7628]) ).
tcf(c_92360,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92357,c_7556]) ).
tcf(c_92487,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_85307,c_17582]) ).
tcf(c_92537,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_92487,c_28672]) ).
tcf(c_92545,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_92487,c_14259]) ).
tcf(c_92546,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_92487,c_2901]) ).
tcf(c_92549,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_92487,c_2914]) ).
tcf(c_92550,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_92487,c_1262]) ).
tcf(c_92552,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_92487,c_629]) ).
tcf(c_92616,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_91994,c_20721]) ).
tcf(c_92617,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_91994,c_20720]) ).
tcf(c_92618,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_91994,c_20073]) ).
tcf(c_92619,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_91994,c_18690]) ).
tcf(c_92620,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_91994,c_18689]) ).
tcf(c_92621,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_91994,c_18688]) ).
tcf(c_92622,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_91994,c_18104]) ).
tcf(c_92623,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_91994,c_18103]) ).
tcf(c_92624,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_91994,c_18102]) ).
tcf(c_92626,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_91994,c_17582]) ).
tcf(c_92627,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_91994,c_103]) ).
tcf(c_92877,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57810,c_92552]) ).
tcf(c_92886,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_92552,c_643]) ).
tcf(c_92911,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_92552,c_28394]) ).
tcf(c_92912,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_92552,c_28393]) ).
tcf(c_92913,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_92552,c_28392]) ).
tcf(c_93298,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_92877,c_16658]) ).
tcf(c_93300,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_92877,c_643]) ).
tcf(c_93345,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53934,c_8687]) ).
tcf(c_93346,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53887,c_8687]) ).
tcf(c_93363,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8687,c_16658]) ).
tcf(c_93365,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_8687,c_8026]) ).
tcf(c_93366,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_8687,c_7950]) ).
tcf(c_93376,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_17,sk_c10) ) ),
inference(superposition,[status(thm)],[c_8687,c_7304]) ).
tcf(c_93454,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14668,c_8186]) ).
tcf(c_93455,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8186,c_16658]) ).
tcf(c_93456,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8186,c_105]) ).
tcf(c_93458,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_8186,c_8134]) ).
tcf(c_93459,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8186,c_19618]) ).
tcf(c_93460,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_93459,c_12804]) ).
tcf(c_93465,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_93458,c_13432]) ).
tcf(c_93649,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c4 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_85308,c_17582]) ).
tcf(c_93662,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93649,c_20357]) ).
tcf(c_93663,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93649,c_18902]) ).
tcf(c_93664,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93649,c_18303]) ).
tcf(c_93668,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93649,c_18666]) ).
tcf(c_93669,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_93649,c_18663]) ).
tcf(c_93676,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_93649,c_12244]) ).
tcf(c_93677,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_93649,c_2896]) ).
tcf(c_93678,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93649,c_2859]) ).
tcf(c_93680,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93649,c_2919]) ).
tcf(c_93681,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_93649,c_1257]) ).
tcf(c_93682,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93649,c_636]) ).
tcf(c_93683,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93649,c_635]) ).
tcf(c_93720,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_93683,c_643]) ).
tcf(c_93721,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_93683,c_18811]) ).
tcf(c_93722,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_93683,c_18774]) ).
tcf(c_93723,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_93683,c_18748]) ).
tcf(c_93740,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_85309,c_17582]) ).
tcf(c_93780,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_93740,c_3964]) ).
tcf(c_93781,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_93740,c_35741]) ).
tcf(c_93782,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_93740,c_35327]) ).
tcf(c_93789,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_93740,c_20358]) ).
tcf(c_93790,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_93740,c_18903]) ).
tcf(c_93791,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_93740,c_18304]) ).
tcf(c_93798,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_93740,c_16680]) ).
tcf(c_93806,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_93740,c_2899]) ).
tcf(c_93807,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_93740,c_12854]) ).
tcf(c_93810,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_93740,c_2898]) ).
tcf(c_93811,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_93740,c_2897]) ).
tcf(c_93814,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_93740,c_2860]) ).
tcf(c_93825,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_93740,c_634]) ).
tcf(c_93826,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_93740,c_632]) ).
tcf(c_93827,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_93740,c_628]) ).
tcf(c_93832,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c10) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_93827,c_13432]) ).
tcf(c_93837,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_93825,c_12804]) ).
tcf(c_93852,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,multiply(sk_c10,X0)) = multiply(iPr_def_22,X0) ) ),
inference(light_normalisation,[status(thm)],[c_93811,c_12891]) ).
tcf(c_93857,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,multiply(sk_c10,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_93806,c_13436]) ).
tcf(c_93911,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_86888,c_8689]) ).
tcf(c_93914,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_81235,c_8689]) ).
tcf(c_93937,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_8689,c_16658]) ).
tcf(c_93938,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_8689,c_105]) ).
tcf(c_93939,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_8689,c_8026]) ).
tcf(c_93940,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_8689,c_7950]) ).
tcf(c_93941,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8689,c_30654]) ).
tcf(c_93948,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8689,c_28930]) ).
tcf(c_93949,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8689,c_28791]) ).
tcf(c_93950,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_8689,c_7304]) ).
tcf(c_93990,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_25 != sk_c11 )
| ( iPr_def_20 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_88946]) ).
tcf(c_93991,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_25 != sk_c11 )
| ( iPr_def_22 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_88946]) ).
tcf(c_94026,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_64943,c_8705]) ).
tcf(c_94047,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8705,c_16658]) ).
tcf(c_94051,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_29,sk_c10) ) ),
inference(superposition,[status(thm)],[c_8705,c_7323]) ).
tcf(c_94095,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_59624,c_8707]) ).
tcf(c_94111,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_8707,c_16658]) ).
tcf(c_94112,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_8707,c_105]) ).
tcf(c_94113,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8707,c_82840]) ).
tcf(c_94115,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_29,identity) ) ),
inference(superposition,[status(thm)],[c_8707,c_7323]) ).
tcf(c_94161,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_94113,c_65535]) ).
tcf(c_94162,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94113,c_8103]) ).
tcf(c_94175,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_94113,c_50965]) ).
tcf(c_94177,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_94113,c_48872]) ).
tcf(c_94178,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_94113,c_46748]) ).
tcf(c_94180,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_94113,c_44757]) ).
tcf(c_94195,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_94113,c_20355]) ).
tcf(c_94197,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94113,c_27711]) ).
tcf(c_94198,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_94113,c_27708]) ).
tcf(c_94199,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_94113,c_18900]) ).
tcf(c_94200,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_94113,c_18301]) ).
tcf(c_94210,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_94113,c_3100]) ).
tcf(c_94212,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_94113,c_13499]) ).
tcf(c_94213,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_94113,c_2900]) ).
tcf(c_94217,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94113,c_2915]) ).
tcf(c_94218,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,identity) = identity ) ),
inference(superposition,[status(thm)],[c_94113,c_1261]) ).
tcf(c_94219,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_94113,c_640]) ).
tcf(c_94220,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_94113,c_641]) ).
tcf(c_94258,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_29 != sk_c11 )
| ( iPr_def_25 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_90399]) ).
tcf(c_94259,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_29 != sk_c11 )
| ( iPr_def_27 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_90399]) ).
tcf(c_94260,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_29 != sk_c11 )
| ( iPr_def_28 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_90399]) ).
tcf(c_94285,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73598,c_16658]) ).
tcf(c_94286,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_73598,c_105]) ).
tcf(c_94287,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73598,c_7341]) ).
tcf(c_94288,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73598,c_7339]) ).
tcf(c_94289,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73598,c_7337]) ).
tcf(c_94291,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73598,c_7333]) ).
tcf(c_94292,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73598,c_22228]) ).
tcf(c_94404,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73599,c_16658]) ).
tcf(c_94405,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_73599,c_105]) ).
tcf(c_94406,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73599,c_7341]) ).
tcf(c_94407,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73599,c_7339]) ).
tcf(c_94408,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73599,c_7337]) ).
tcf(c_94409,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73599,c_7335]) ).
tcf(c_94410,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73599,c_7333]) ).
tcf(c_94411,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73599,c_22228]) ).
tcf(c_94445,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14668,c_8187]) ).
tcf(c_94446,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8187,c_16658]) ).
tcf(c_94447,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8187,c_105]) ).
tcf(c_94449,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_8187,c_8134]) ).
tcf(c_94450,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8187,c_19618]) ).
tcf(c_94451,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_94450,c_12804]) ).
tcf(c_94456,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_94449,c_13432]) ).
tcf(c_94507,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_26837,c_85667]) ).
tcf(c_94508,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_26835,c_85667]) ).
tcf(c_94509,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_26833,c_85667]) ).
tcf(c_94519,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_85667,c_16658]) ).
tcf(c_94520,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_85667,c_105]) ).
tcf(c_94523,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_29,identity) ) ),
inference(superposition,[status(thm)],[c_85667,c_7323]) ).
tcf(c_94542,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_86094,c_17582]) ).
tcf(c_94592,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94542,c_28672]) ).
tcf(c_94593,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_94542,c_28669]) ).
tcf(c_94600,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_94542,c_14259]) ).
tcf(c_94601,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c10,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_94542,c_2901]) ).
tcf(c_94604,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94542,c_2914]) ).
tcf(c_94605,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_94542,c_1262]) ).
tcf(c_94607,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_94542,c_629]) ).
tcf(c_94653,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_65423,c_94607]) ).
tcf(c_94664,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_94607,c_643]) ).
tcf(c_94689,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_94607,c_28394]) ).
tcf(c_94690,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_94607,c_28393]) ).
tcf(c_94691,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_94607,c_28392]) ).
tcf(c_94723,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94653,c_16658]) ).
tcf(c_94725,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_94653,c_643]) ).
tcf(c_94767,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_64943,c_8869]) ).
tcf(c_94772,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50961,c_8869]) ).
tcf(c_94788,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8869,c_16658]) ).
tcf(c_94790,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_8869,c_8026]) ).
tcf(c_94791,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_8869,c_7950]) ).
tcf(c_94801,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_17,sk_c10) ) ),
inference(superposition,[status(thm)],[c_8869,c_7304]) ).
tcf(c_94838,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_94113,c_8871]) ).
tcf(c_94840,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_85673,c_8871]) ).
tcf(c_94865,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_8871,c_16658]) ).
tcf(c_94866,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_8871,c_105]) ).
tcf(c_94867,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_8871,c_8026]) ).
tcf(c_94868,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_8871,c_7950]) ).
tcf(c_94869,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8871,c_30654]) ).
tcf(c_94876,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8871,c_28930]) ).
tcf(c_94877,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8871,c_28791]) ).
tcf(c_94878,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_8871,c_7304]) ).
tcf(c_94952,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8889,c_16658]) ).
tcf(c_94956,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_29,sk_c10) ) ),
inference(superposition,[status(thm)],[c_8889,c_7323]) ).
tcf(c_94977,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73756,c_16658]) ).
tcf(c_94978,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_73756,c_105]) ).
tcf(c_94984,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_21) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_73756,c_7388]) ).
tcf(c_95092,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73757,c_16658]) ).
tcf(c_95093,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_73757,c_105]) ).
tcf(c_95099,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_73757,c_7388]) ).
tcf(c_95123,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73852,c_16658]) ).
tcf(c_95124,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_73852,c_105]) ).
tcf(c_95125,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73852,c_7341]) ).
tcf(c_95126,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73852,c_7339]) ).
tcf(c_95129,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73852,c_7333]) ).
tcf(c_95130,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_73852,c_22228]) ).
tcf(c_95158,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73853,c_16658]) ).
tcf(c_95159,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_73853,c_105]) ).
tcf(c_95160,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73853,c_7341]) ).
tcf(c_95161,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73853,c_7339]) ).
tcf(c_95162,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73853,c_7337]) ).
tcf(c_95164,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73853,c_7333]) ).
tcf(c_95165,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_73853,c_22228]) ).
tcf(c_95196,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_74042,c_16658]) ).
tcf(c_95197,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_74042,c_105]) ).
tcf(c_95203,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_21) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_74042,c_7388]) ).
tcf(c_95225,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_74043,c_16658]) ).
tcf(c_95226,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_74043,c_105]) ).
tcf(c_95232,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_74043,c_7388]) ).
tcf(c_95256,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_75014,c_16658]) ).
tcf(c_95257,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_75014,c_105]) ).
tcf(c_95258,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_75014,c_7341]) ).
tcf(c_95262,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_75014,c_7333]) ).
tcf(c_95263,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_75014,c_22228]) ).
tcf(c_95287,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75015,c_16658]) ).
tcf(c_95288,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_75015,c_105]) ).
tcf(c_95289,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75015,c_7341]) ).
tcf(c_95290,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75015,c_7339]) ).
tcf(c_95293,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75015,c_7333]) ).
tcf(c_95294,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75015,c_22228]) ).
tcf(c_95331,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_39061,c_40795]) ).
tcf(c_95390,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14668,c_8188]) ).
tcf(c_95391,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8188,c_16658]) ).
tcf(c_95392,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8188,c_105]) ).
tcf(c_95393,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_8188,c_8158]) ).
tcf(c_95394,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_8188,c_8134]) ).
tcf(c_95395,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8188,c_19618]) ).
tcf(c_95396,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_95395,c_12804]) ).
tcf(c_95401,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_95394,c_13432]) ).
tcf(c_95412,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_95393,c_13432]) ).
tcf(c_95418,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c4 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_86095,c_17582]) ).
tcf(c_95431,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95418,c_20357]) ).
tcf(c_95432,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95418,c_18902]) ).
tcf(c_95433,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95418,c_18303]) ).
tcf(c_95437,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_95418,c_18666]) ).
tcf(c_95438,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_95418,c_18663]) ).
tcf(c_95443,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95418,c_3102]) ).
tcf(c_95445,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_95418,c_12244]) ).
tcf(c_95446,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_95418,c_2896]) ).
tcf(c_95449,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_95418,c_2919]) ).
tcf(c_95450,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_95418,c_1257]) ).
tcf(c_95451,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95418,c_636]) ).
tcf(c_95452,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_95418,c_635]) ).
tcf(c_95544,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_95452,c_643]) ).
tcf(c_95545,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_95452,c_18811]) ).
tcf(c_95546,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_95452,c_18774]) ).
tcf(c_95547,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_95452,c_18748]) ).
tcf(c_95564,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_86096,c_17582]) ).
tcf(c_95604,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95564,c_3964]) ).
tcf(c_95605,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95564,c_35741]) ).
tcf(c_95606,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_95564,c_35327]) ).
tcf(c_95611,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_95564,c_23364]) ).
tcf(c_95612,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_95564,c_23284]) ).
tcf(c_95613,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95564,c_20358]) ).
tcf(c_95614,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95564,c_18903]) ).
tcf(c_95615,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95564,c_18304]) ).
tcf(c_95622,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_95564,c_16680]) ).
tcf(c_95628,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95564,c_3103]) ).
tcf(c_95630,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_95564,c_2899]) ).
tcf(c_95631,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_95564,c_12854]) ).
tcf(c_95634,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_95564,c_2898]) ).
tcf(c_95635,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_95564,c_2897]) ).
tcf(c_95645,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95564,c_682]) ).
tcf(c_95646,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95564,c_679]) ).
tcf(c_95647,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_95564,c_672]) ).
tcf(c_95648,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_95564,c_669]) ).
tcf(c_95649,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_95564,c_634]) ).
tcf(c_95650,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95564,c_632]) ).
tcf(c_95651,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_95564,c_628]) ).
tcf(c_95652,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_95564,c_662]) ).
tcf(c_95653,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_95564,c_659]) ).
tcf(c_95654,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_95564,c_652]) ).
tcf(c_95655,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_95564,c_649]) ).
tcf(c_95656,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,sk_c10) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_95651,c_13432]) ).
tcf(c_95661,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_95649,c_12804]) ).
tcf(c_95700,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,multiply(sk_c10,X0)) = multiply(iPr_def_22,X0) ) ),
inference(light_normalisation,[status(thm)],[c_95635,c_12891]) ).
tcf(c_95705,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,multiply(sk_c10,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_95630,c_13436]) ).
tcf(c_95763,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_76529,c_8891]) ).
tcf(c_95770,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_54846,c_8891]) ).
tcf(c_95771,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50765,c_8891]) ).
tcf(c_95779,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_36518,c_8891]) ).
tcf(c_95780,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_35148,c_8891]) ).
tcf(c_95781,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_34875,c_8891]) ).
tcf(c_95783,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_34463,c_8891]) ).
tcf(c_95785,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_8891,c_16658]) ).
tcf(c_95786,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_8891,c_105]) ).
tcf(c_95789,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_29,identity) ) ),
inference(superposition,[status(thm)],[c_8891,c_7323]) ).
tcf(c_95839,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_87880,c_10925,c_90452]) ).
tcf(c_95899,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8909,c_16658]) ).
tcf(c_95903,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_29,sk_c10) ) ),
inference(superposition,[status(thm)],[c_8909,c_7323]) ).
tcf(c_95909,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_87881,c_10820,c_90453]) ).
tcf(c_95947,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_76529,c_8911]) ).
tcf(c_95955,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50765,c_8911]) ).
tcf(c_95965,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_34875,c_8911]) ).
tcf(c_95967,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_34463,c_8911]) ).
tcf(c_95969,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_8911,c_16658]) ).
tcf(c_95970,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_8911,c_105]) ).
tcf(c_95973,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_29,identity) ) ),
inference(superposition,[status(thm)],[c_8911,c_7323]) ).
tcf(c_96032,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_48867,c_8933]) ).
tcf(c_96033,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_46742,c_8933]) ).
tcf(c_96047,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8933,c_16658]) ).
tcf(c_96049,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_8933,c_8026]) ).
tcf(c_96050,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_8933,c_7950]) ).
tcf(c_96060,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_17,sk_c10) ) ),
inference(superposition,[status(thm)],[c_8933,c_7304]) ).
tcf(c_96076,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_87882,c_10711,c_90454]) ).
tcf(c_96082,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_87883,c_10246,c_90455]) ).
tcf(c_96151,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95645,c_87075]) ).
tcf(c_96153,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95645,c_87069]) ).
tcf(c_96155,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_95645,c_72357]) ).
tcf(c_96163,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_95645,c_65061]) ).
tcf(c_96164,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_95645,c_65058]) ).
tcf(c_96165,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95645,c_65055]) ).
tcf(c_96166,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95645,c_65052]) ).
tcf(c_96167,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_65044]) ).
tcf(c_96169,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_8049]) ).
tcf(c_96171,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_8045]) ).
tcf(c_96172,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_8041]) ).
tcf(c_96173,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_50970]) ).
tcf(c_96176,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_7973]) ).
tcf(c_96178,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_7969]) ).
tcf(c_96179,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_7965]) ).
tcf(c_96185,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95645,c_3771]) ).
tcf(c_96187,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95645,c_36104]) ).
tcf(c_96188,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95645,c_35440]) ).
tcf(c_96195,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_18905]) ).
tcf(c_96197,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_18306]) ).
tcf(c_96222,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_3105]) ).
tcf(c_96228,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_95645,c_2895]) ).
tcf(c_96229,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_95645,c_2894]) ).
tcf(c_96241,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95645,c_2167]) ).
tcf(c_96242,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95645,c_2162]) ).
tcf(c_96245,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95645,c_1883]) ).
tcf(c_96246,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95645,c_1877]) ).
tcf(c_96247,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95645,c_1644]) ).
tcf(c_96251,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95645,c_1446]) ).
tcf(c_96253,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95645,c_646]) ).
tcf(c_96264,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_95645,c_638]) ).
tcf(c_96268,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95645,c_627]) ).
tcf(c_96385,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_96185,c_641,c_28387]) ).
tcf(c_96490,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_676,c_40799]) ).
tcf(c_96491,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_674,c_40799]) ).
tcf(c_96492,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_673,c_40799]) ).
tcf(c_96690,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95646,c_87075]) ).
tcf(c_96692,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95646,c_87069]) ).
tcf(c_96693,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95646,c_83236]) ).
tcf(c_96694,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_95646,c_72357]) ).
tcf(c_96698,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95646,c_78542]) ).
tcf(c_96699,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_95646,c_67688]) ).
tcf(c_96700,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_67412]) ).
tcf(c_96702,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_95646,c_65061]) ).
tcf(c_96703,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_95646,c_65058]) ).
tcf(c_96704,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95646,c_65055]) ).
tcf(c_96705,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95646,c_65052]) ).
tcf(c_96706,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_65044]) ).
tcf(c_96708,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_8049]) ).
tcf(c_96709,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_53942]) ).
tcf(c_96710,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_8045]) ).
tcf(c_96711,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_8041]) ).
tcf(c_96712,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_50970]) ).
tcf(c_96715,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_7973]) ).
tcf(c_96717,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_7969]) ).
tcf(c_96718,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_7965]) ).
tcf(c_96724,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95646,c_3771]) ).
tcf(c_96726,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95646,c_36104]) ).
tcf(c_96727,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95646,c_35440]) ).
tcf(c_96734,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_18905]) ).
tcf(c_96736,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_18306]) ).
tcf(c_96739,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_95646,c_14691]) ).
tcf(c_96740,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_95646,c_14688]) ).
tcf(c_96741,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95646,c_14685]) ).
tcf(c_96742,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95646,c_14682]) ).
tcf(c_96743,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_14676]) ).
tcf(c_96761,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_3105]) ).
tcf(c_96762,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_3028]) ).
tcf(c_96767,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_95646,c_2895]) ).
tcf(c_96768,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_95646,c_2894]) ).
tcf(c_96780,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95646,c_2167]) ).
tcf(c_96781,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95646,c_2162]) ).
tcf(c_96784,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95646,c_1883]) ).
tcf(c_96785,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95646,c_1877]) ).
tcf(c_96786,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95646,c_1644]) ).
tcf(c_96790,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95646,c_1446]) ).
tcf(c_96792,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95646,c_646]) ).
tcf(c_96803,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_95646,c_638]) ).
tcf(c_96807,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95646,c_627]) ).
tcf(c_96968,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_96724,c_641,c_28387]) ).
tcf(c_97061,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14668,c_8189]) ).
tcf(c_97062,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8189,c_16658]) ).
tcf(c_97063,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8189,c_105]) ).
tcf(c_97064,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_8189,c_8158]) ).
tcf(c_97065,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_8189,c_8134]) ).
tcf(c_97066,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8189,c_19618]) ).
tcf(c_97067,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_97066,c_12804]) ).
tcf(c_97072,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_97065,c_13432]) ).
tcf(c_97083,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_97064,c_13432]) ).
tcf(c_97132,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_86607,c_645]) ).
tcf(c_97133,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_86607,c_644]) ).
tcf(c_97149,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_85897,c_86613]) ).
tcf(c_97150,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_84315,c_86613]) ).
tcf(c_97151,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_81458,c_86613]) ).
tcf(c_97152,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_68375,c_86613]) ).
tcf(c_97153,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_66877,c_86613]) ).
tcf(c_97159,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_52115,c_86613]) ).
tcf(c_97160,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_51335,c_86613]) ).
tcf(c_97165,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_31378,c_86613]) ).
tcf(c_97166,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_19642,c_86613]) ).
tcf(c_97167,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18691,c_86613]) ).
tcf(c_97168,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18105,c_86613]) ).
tcf(c_97169,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_14575,c_86613]) ).
tcf(c_97170,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_11846,c_86613]) ).
tcf(c_97183,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1032,c_86613]) ).
tcf(c_97184,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1020,c_86613]) ).
tcf(c_97187,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_16 )
| ( inverse(iPr_def_16) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_86613,c_647]) ).
tcf(c_97188,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_16 )
| ( inverse(iPr_def_16) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_86613,c_645]) ).
tcf(c_97189,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_16 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_86613,c_644]) ).
tcf(c_97190,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_16),iPr_def_16) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_86613,c_16658]) ).
tcf(c_97196,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_86613,c_7334]) ).
tcf(c_97197,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,sk_c10) = multiply(iPr_def_19,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_86613,c_7388]) ).
tcf(c_97388,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_85897,c_86618]) ).
tcf(c_97389,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_84315,c_86618]) ).
tcf(c_97390,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_81458,c_86618]) ).
tcf(c_97391,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68375,c_86618]) ).
tcf(c_97392,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_66877,c_86618]) ).
tcf(c_97398,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_28) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_52115,c_86618]) ).
tcf(c_97399,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_28) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_51335,c_86618]) ).
tcf(c_97404,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_86618]) ).
tcf(c_97405,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19642,c_86618]) ).
tcf(c_97406,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18691,c_86618]) ).
tcf(c_97407,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18105,c_86618]) ).
tcf(c_97408,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_14575,c_86618]) ).
tcf(c_97409,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_11846,c_86618]) ).
tcf(c_97422,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1032,c_86618]) ).
tcf(c_97423,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1020,c_86618]) ).
tcf(c_97426,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_22 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_86618,c_647]) ).
tcf(c_97427,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_22 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_86618,c_645]) ).
tcf(c_97428,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_22 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_86618,c_644]) ).
tcf(c_97429,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_22),iPr_def_22) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_86618,c_16658]) ).
tcf(c_97436,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,sk_c10) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_86618,c_7554]) ).
tcf(c_97656,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_95646,c_87221]) ).
tcf(c_97660,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87069,c_87221]) ).
tcf(c_97661,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_83236,c_87221]) ).
tcf(c_97662,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_80289,c_87221]) ).
tcf(c_97663,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_78542,c_87221]) ).
tcf(c_97728,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_87221,c_16658]) ).
tcf(c_97730,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_26 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_87221,c_646]) ).
tcf(c_97738,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_25,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_87221,c_7633]) ).
tcf(c_97743,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c11,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_97738,c_7630]) ).
tcf(c_97968,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_54846,c_8935]) ).
tcf(c_97969,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50765,c_8935]) ).
tcf(c_97983,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_8935,c_16658]) ).
tcf(c_97984,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_8935,c_105]) ).
tcf(c_97985,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_8935,c_8026]) ).
tcf(c_97986,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_8935,c_7950]) ).
tcf(c_97987,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8935,c_30654]) ).
tcf(c_97991,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8935,c_29371]) ).
tcf(c_97992,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8935,c_29155]) ).
tcf(c_97994,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8935,c_28930]) ).
tcf(c_97995,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_8935,c_28791]) ).
tcf(c_97996,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_8935,c_7304]) ).
tcf(c_98351,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_97991,c_8935]) ).
tcf(c_98352,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_97991,c_8911]) ).
tcf(c_98353,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_97991,c_8891]) ).
tcf(c_98364,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_97991,c_8103]) ).
tcf(c_98368,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_63520]) ).
tcf(c_98370,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_62206]) ).
tcf(c_98379,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_48872]) ).
tcf(c_98380,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_46748]) ).
tcf(c_98381,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_97991,c_54846]) ).
tcf(c_98382,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_44757]) ).
tcf(c_98383,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_97991,c_50765]) ).
tcf(c_98391,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_97991,c_36518]) ).
tcf(c_98393,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_97991,c_34875]) ).
tcf(c_98397,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_20355]) ).
tcf(c_98399,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_97991,c_27711]) ).
tcf(c_98400,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_97991,c_27708]) ).
tcf(c_98401,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_18900]) ).
tcf(c_98402,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_18301]) ).
tcf(c_98410,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_3247]) ).
tcf(c_98411,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_3194]) ).
tcf(c_98414,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_97991,c_13499]) ).
tcf(c_98415,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_97991,c_2900]) ).
tcf(c_98419,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_97991,c_2915]) ).
tcf(c_98421,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_97991,c_640]) ).
tcf(c_98422,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_97991,c_641]) ).
tcf(c_98442,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98419,c_103]) ).
tcf(c_98806,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_98381,c_31598]) ).
tcf(c_98826,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_98381,c_17582]) ).
tcf(c_98877,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_98391,c_31598]) ).
tcf(c_98887,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_98391,c_20721]) ).
tcf(c_98888,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_98391,c_20720]) ).
tcf(c_98889,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_98391,c_20073]) ).
tcf(c_98890,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_98391,c_18690]) ).
tcf(c_98891,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_98391,c_18689]) ).
tcf(c_98892,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_98391,c_18688]) ).
tcf(c_98893,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_98391,c_18104]) ).
tcf(c_98894,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_98391,c_18103]) ).
tcf(c_98895,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_98391,c_18102]) ).
tcf(c_98897,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_98391,c_17582]) ).
tcf(c_98939,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_75125,c_16658]) ).
tcf(c_98940,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_75125,c_105]) ).
tcf(c_98946,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_21) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75125,c_7388]) ).
tcf(c_98968,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75126,c_16658]) ).
tcf(c_98969,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_75126,c_105]) ).
tcf(c_98975,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75126,c_7388]) ).
tcf(c_98999,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_75182,c_16658]) ).
tcf(c_99000,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_75182,c_105]) ).
tcf(c_99005,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_75182,c_7333]) ).
tcf(c_99006,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_75182,c_22228]) ).
tcf(c_99026,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_19),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75183,c_16658]) ).
tcf(c_99027,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_75183,c_105]) ).
tcf(c_99028,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75183,c_7341]) ).
tcf(c_99032,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75183,c_7333]) ).
tcf(c_99033,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75183,c_22228]) ).
tcf(c_99056,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_75229,c_16658]) ).
tcf(c_99057,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_75229,c_105]) ).
tcf(c_99063,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_21) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75229,c_7388]) ).
tcf(c_99085,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_75230,c_16658]) ).
tcf(c_99086,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_75230,c_105]) ).
tcf(c_99092,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75230,c_7388]) ).
tcf(c_99114,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_74698,c_75855]) ).
tcf(c_99115,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_70936,c_75855]) ).
tcf(c_99116,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_68774,c_75855]) ).
tcf(c_99117,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61612,c_75855]) ).
tcf(c_99118,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61110,c_75855]) ).
tcf(c_99119,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56152,c_75855]) ).
tcf(c_99123,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26130,c_75855]) ).
tcf(c_99124,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26127,c_75855]) ).
tcf(c_99125,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26125,c_75855]) ).
tcf(c_99126,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25304,c_75855]) ).
tcf(c_99127,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25301,c_75855]) ).
tcf(c_99128,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25299,c_75855]) ).
tcf(c_99147,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_75855,c_16658]) ).
tcf(c_99148,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_29,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_75855,c_105]) ).
tcf(c_99377,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_74698,c_75856]) ).
tcf(c_99378,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_70936,c_75856]) ).
tcf(c_99379,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_68774,c_75856]) ).
tcf(c_99380,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61612,c_75856]) ).
tcf(c_99381,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61110,c_75856]) ).
tcf(c_99382,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56152,c_75856]) ).
tcf(c_99386,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26130,c_75856]) ).
tcf(c_99387,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26127,c_75856]) ).
tcf(c_99388,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26125,c_75856]) ).
tcf(c_99389,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25304,c_75856]) ).
tcf(c_99390,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25301,c_75856]) ).
tcf(c_99391,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25299,c_75856]) ).
tcf(c_99410,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_75856,c_16658]) ).
tcf(c_99411,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(iPr_def_29,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_75856,c_105]) ).
tcf(c_99472,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14668,c_8190]) ).
tcf(c_99473,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8190,c_16658]) ).
tcf(c_99474,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8190,c_105]) ).
tcf(c_99475,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_8190,c_8158]) ).
tcf(c_99476,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_8190,c_8134]) ).
tcf(c_99477,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8190,c_19618]) ).
tcf(c_99478,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_99477,c_12804]) ).
tcf(c_99483,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_99476,c_13432]) ).
tcf(c_99494,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_99475,c_13432]) ).
tcf(c_99501,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c3 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_88651,c_17582]) ).
tcf(c_99508,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_78016]) ).
tcf(c_99512,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_20775]) ).
tcf(c_99513,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_20125]) ).
tcf(c_99514,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_19784]) ).
tcf(c_99516,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_99501,c_18082]) ).
tcf(c_99517,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_99501,c_18079]) ).
tcf(c_99523,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_5269]) ).
tcf(c_99527,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_4223]) ).
tcf(c_99529,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_3394]) ).
tcf(c_99530,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_99501,c_2895]) ).
tcf(c_99531,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_2237]) ).
tcf(c_99532,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_2169]) ).
tcf(c_99533,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_2073]) ).
tcf(c_99534,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1992]) ).
tcf(c_99535,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1881]) ).
tcf(c_99536,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1716]) ).
tcf(c_99537,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1646]) ).
tcf(c_99538,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1582]) ).
tcf(c_99539,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1537]) ).
tcf(c_99540,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1444]) ).
tcf(c_99541,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1341]) ).
tcf(c_99542,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1303]) ).
tcf(c_99543,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1270]) ).
tcf(c_99546,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1230]) ).
tcf(c_99547,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_1229]) ).
tcf(c_99548,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_99501,c_2920]) ).
tcf(c_99549,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_99501,c_1256]) ).
tcf(c_99550,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_638]) ).
tcf(c_99551,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_99501,c_637]) ).
tcf(c_99561,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c11,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_99548,c_7633]) ).
tcf(c_99683,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_99551,c_643]) ).
tcf(c_99684,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_99551,c_18214]) ).
tcf(c_99685,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_99551,c_18199]) ).
tcf(c_99686,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_99551,c_18184]) ).
tcf(c_99733,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_46742,c_9270]) ).
tcf(c_99747,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9270,c_16658]) ).
tcf(c_99749,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_9270,c_8026]) ).
tcf(c_99750,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_9270,c_7950]) ).
tcf(c_99760,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_17,sk_c10) ) ),
inference(superposition,[status(thm)],[c_9270,c_7304]) ).
tcf(c_99795,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_97991,c_9272]) ).
tcf(c_99809,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_50765,c_9272]) ).
tcf(c_99823,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_9272,c_16658]) ).
tcf(c_99824,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_9272,c_105]) ).
tcf(c_99825,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_9272,c_8026]) ).
tcf(c_99826,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_9272,c_7950]) ).
tcf(c_99827,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_9272,c_30654]) ).
tcf(c_99832,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_9272,c_29155]) ).
tcf(c_99834,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_9272,c_28930]) ).
tcf(c_99835,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_9272,c_28791]) ).
tcf(c_99836,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_9272,c_7304]) ).
tcf(c_99892,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_99832,c_9272]) ).
tcf(c_99894,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_99832,c_8911]) ).
tcf(c_99906,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_99832,c_8103]) ).
tcf(c_99912,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99832,c_62206]) ).
tcf(c_99922,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99832,c_46748]) ).
tcf(c_99924,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99832,c_44757]) ).
tcf(c_99925,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99832,c_50765]) ).
tcf(c_99935,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_99832,c_34875]) ).
tcf(c_99939,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99832,c_20355]) ).
tcf(c_99941,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_99832,c_27711]) ).
tcf(c_99942,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_99832,c_27708]) ).
tcf(c_99943,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99832,c_18900]) ).
tcf(c_99944,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99832,c_18301]) ).
tcf(c_99952,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99832,c_3247]) ).
tcf(c_99956,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_99832,c_13499]) ).
tcf(c_99957,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_99832,c_2900]) ).
tcf(c_99961,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_99832,c_2915]) ).
tcf(c_99963,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99832,c_640]) ).
tcf(c_99964,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_99832,c_641]) ).
tcf(c_99984,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_99961,c_103]) ).
tcf(c_100035,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_674,c_40878]) ).
tcf(c_100043,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_656,c_40878]) ).
tcf(c_100205,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99925,c_31598]) ).
tcf(c_100225,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_99925,c_17582]) ).
tcf(c_100239,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_74698,c_75857]) ).
tcf(c_100240,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_70936,c_75857]) ).
tcf(c_100241,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_68774,c_75857]) ).
tcf(c_100242,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61612,c_75857]) ).
tcf(c_100243,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61110,c_75857]) ).
tcf(c_100244,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56152,c_75857]) ).
tcf(c_100248,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26130,c_75857]) ).
tcf(c_100249,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26127,c_75857]) ).
tcf(c_100250,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26125,c_75857]) ).
tcf(c_100251,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25304,c_75857]) ).
tcf(c_100252,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25301,c_75857]) ).
tcf(c_100253,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25299,c_75857]) ).
tcf(c_100272,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_75857,c_16658]) ).
tcf(c_100273,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_29,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_75857,c_105]) ).
tcf(c_100348,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_74698,c_75858]) ).
tcf(c_100349,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_70936,c_75858]) ).
tcf(c_100350,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_68774,c_75858]) ).
tcf(c_100351,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61612,c_75858]) ).
tcf(c_100352,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61110,c_75858]) ).
tcf(c_100353,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56152,c_75858]) ).
tcf(c_100357,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26130,c_75858]) ).
tcf(c_100358,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26127,c_75858]) ).
tcf(c_100359,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26125,c_75858]) ).
tcf(c_100360,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25304,c_75858]) ).
tcf(c_100361,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25301,c_75858]) ).
tcf(c_100362,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25299,c_75858]) ).
tcf(c_100381,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_75858,c_16658]) ).
tcf(c_100382,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_20,multiply(iPr_def_29,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_75858,c_105]) ).
tcf(c_100527,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_74698,c_75859]) ).
tcf(c_100528,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_70936,c_75859]) ).
tcf(c_100529,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_68774,c_75859]) ).
tcf(c_100530,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61612,c_75859]) ).
tcf(c_100531,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61110,c_75859]) ).
tcf(c_100532,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56152,c_75859]) ).
tcf(c_100536,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26130,c_75859]) ).
tcf(c_100537,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26127,c_75859]) ).
tcf(c_100538,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26125,c_75859]) ).
tcf(c_100539,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25304,c_75859]) ).
tcf(c_100540,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25301,c_75859]) ).
tcf(c_100541,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25299,c_75859]) ).
tcf(c_100560,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_75859,c_16658]) ).
tcf(c_100561,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_29,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_75859,c_105]) ).
tcf(c_100632,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99501,c_89139]) ).
tcf(c_100643,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26837,c_89139]) ).
tcf(c_100644,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26835,c_89139]) ).
tcf(c_100645,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26833,c_89139]) ).
tcf(c_100655,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_89139,c_16658]) ).
tcf(c_100657,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_89139,c_2920]) ).
tcf(c_100675,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85897,c_89143]) ).
tcf(c_100680,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64278,c_89143]) ).
tcf(c_100722,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26837,c_89143]) ).
tcf(c_100723,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26835,c_89143]) ).
tcf(c_100724,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26833,c_89143]) ).
tcf(c_100734,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_89143,c_16658]) ).
tcf(c_100736,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_89143,c_2901]) ).
tcf(c_100737,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_89143,c_2900]) ).
tcf(c_100738,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_89143,c_2898]) ).
tcf(c_100739,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_89143,c_2896]) ).
tcf(c_100745,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_100739,c_12244]) ).
tcf(c_100748,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_100738,c_12854]) ).
tcf(c_100751,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_100737,c_13499]) ).
tcf(c_100754,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_100736,c_14259]) ).
tcf(c_100805,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26130,c_92627]) ).
tcf(c_100806,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26127,c_92627]) ).
tcf(c_100807,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26125,c_92627]) ).
tcf(c_100829,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_92627,c_647]) ).
tcf(c_100831,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_92627,c_644]) ).
tcf(c_100832,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_92627,c_16658]) ).
tcf(c_100833,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_92627,c_105]) ).
tcf(c_100834,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_92627,c_643]) ).
tcf(c_100835,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_29) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_92627,c_646]) ).
tcf(c_100851,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_92627,c_7323]) ).
tcf(c_100858,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_92627,c_27711]) ).
tcf(c_100879,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != sk_c1 )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_100835,c_28387]) ).
tcf(c_100884,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != sk_c1 )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_100831,c_28387]) ).
tcf(c_100889,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c10 != sk_c1 )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_100829,c_28387]) ).
tcf(c_100894,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(X0) != iPr_def_29 )
| ( inverse(X0) != sk_c1 )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_100834,c_641,c_28387]) ).
tcf(c_100907,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(sk_c10) != iPr_def_29 )
| ( inverse(sk_c10) != sk_c1 )
| ( multiply(sk_c10,inverse(sk_c10)) != sk_c11 )
| ( multiply(inverse(sk_c10),sk_c10) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_100894]) ).
tcf(c_100956,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_84315,c_93682]) ).
tcf(c_100993,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_93682,c_647]) ).
tcf(c_100994,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_93682,c_645]) ).
tcf(c_100995,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_93682,c_644]) ).
tcf(c_100996,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_93682,c_16658]) ).
tcf(c_101001,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_93682,c_7628]) ).
tcf(c_101004,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_101001,c_7556]) ).
tcf(c_101064,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99935,c_31598]) ).
tcf(c_101074,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_99935,c_20721]) ).
tcf(c_101075,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_99935,c_20720]) ).
tcf(c_101076,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_99935,c_20073]) ).
tcf(c_101077,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_99935,c_18690]) ).
tcf(c_101078,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_99935,c_18689]) ).
tcf(c_101079,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_99935,c_18688]) ).
tcf(c_101080,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_99935,c_18104]) ).
tcf(c_101081,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_99935,c_18103]) ).
tcf(c_101082,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_99935,c_18102]) ).
tcf(c_101084,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_99935,c_17582]) ).
tcf(c_101168,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9294,c_16658]) ).
tcf(c_101172,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_29,sk_c10) ) ),
inference(superposition,[status(thm)],[c_9294,c_7323]) ).
tcf(c_101212,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_76529,c_9296]) ).
tcf(c_101221,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_46527,c_9296]) ).
tcf(c_101231,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_34657,c_9296]) ).
tcf(c_101233,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_34314,c_9296]) ).
tcf(c_101234,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_9296,c_16658]) ).
tcf(c_101235,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_9296,c_105]) ).
tcf(c_101238,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_29,identity) ) ),
inference(superposition,[status(thm)],[c_9296,c_7323]) ).
tcf(c_101283,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_44750,c_9320]) ).
tcf(c_101296,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9320,c_16658]) ).
tcf(c_101298,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_9320,c_8026]) ).
tcf(c_101299,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_9320,c_7950]) ).
tcf(c_101309,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_28) = multiply(iPr_def_17,sk_c10) ) ),
inference(superposition,[status(thm)],[c_9320,c_7304]) ).
tcf(c_101580,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_74698,c_75984]) ).
tcf(c_101581,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_70936,c_75984]) ).
tcf(c_101582,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_68774,c_75984]) ).
tcf(c_101583,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61612,c_75984]) ).
tcf(c_101584,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61110,c_75984]) ).
tcf(c_101585,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56152,c_75984]) ).
tcf(c_101589,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26130,c_75984]) ).
tcf(c_101590,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26127,c_75984]) ).
tcf(c_101591,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26125,c_75984]) ).
tcf(c_101592,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25304,c_75984]) ).
tcf(c_101593,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25301,c_75984]) ).
tcf(c_101594,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25299,c_75984]) ).
tcf(c_101613,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_75984,c_16658]) ).
tcf(c_101614,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(iPr_def_29,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_75984,c_105]) ).
tcf(c_101618,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_29) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_75984,c_7628]) ).
tcf(c_101628,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_29) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_101618,c_7556]) ).
tcf(c_101685,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_74698,c_75985]) ).
tcf(c_101686,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_70936,c_75985]) ).
tcf(c_101687,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_68774,c_75985]) ).
tcf(c_101688,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61612,c_75985]) ).
tcf(c_101689,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61110,c_75985]) ).
tcf(c_101690,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56152,c_75985]) ).
tcf(c_101694,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26130,c_75985]) ).
tcf(c_101695,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26127,c_75985]) ).
tcf(c_101696,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26125,c_75985]) ).
tcf(c_101697,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25304,c_75985]) ).
tcf(c_101698,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25301,c_75985]) ).
tcf(c_101699,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25299,c_75985]) ).
tcf(c_101718,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_75985,c_16658]) ).
tcf(c_101719,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(iPr_def_29,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_75985,c_105]) ).
tcf(c_101723,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_29) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_75985,c_7628]) ).
tcf(c_101733,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_29) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_101723,c_7556]) ).
tcf(c_101781,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_41100,c_704,c_655,c_1322,c_1332,c_3992,c_3981,c_8771,c_70349]) ).
tcf(c_101794,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_40310,c_101781]) ).
tcf(c_101795,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_697,c_101781]) ).
tcf(c_101796,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_696,c_101781]) ).
tcf(c_101797,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_10
| ( iPr_def_24 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_695,c_101781]) ).
tcf(c_101798,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_694,c_101781]) ).
tcf(c_101799,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_693,c_101781]) ).
tcf(c_101803,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( iPr_def_24 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_685,c_101781]) ).
tcf(c_101806,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_24 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_655,c_101781]) ).
tcf(c_101855,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_74698,c_75986]) ).
tcf(c_101856,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_70936,c_75986]) ).
tcf(c_101857,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_68774,c_75986]) ).
tcf(c_101858,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61612,c_75986]) ).
tcf(c_101859,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61110,c_75986]) ).
tcf(c_101860,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56152,c_75986]) ).
tcf(c_101864,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26130,c_75986]) ).
tcf(c_101865,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26127,c_75986]) ).
tcf(c_101866,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26125,c_75986]) ).
tcf(c_101867,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25304,c_75986]) ).
tcf(c_101868,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25301,c_75986]) ).
tcf(c_101869,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25299,c_75986]) ).
tcf(c_101888,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_75986,c_16658]) ).
tcf(c_101889,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,multiply(iPr_def_29,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_75986,c_105]) ).
tcf(c_101893,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_29) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_75986,c_7628]) ).
tcf(c_101903,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_29) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_101893,c_7556]) ).
tcf(c_101997,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_22) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_6113,c_8199]) ).
tcf(c_101998,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_22) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_5890,c_8199]) ).
tcf(c_101999,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_22) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_4571,c_8199]) ).
tcf(c_102000,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_22) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_1053,c_8199]) ).
tcf(c_102001,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_20) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_5591,c_8199]) ).
tcf(c_102002,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_20) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_5376,c_8199]) ).
tcf(c_102003,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_20) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_4324,c_8199]) ).
tcf(c_102004,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_1054,c_8199]) ).
tcf(c_102005,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_25) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_6817,c_8199]) ).
tcf(c_102006,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_25) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_6606,c_8199]) ).
tcf(c_102007,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_25) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_4990,c_8199]) ).
tcf(c_102008,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_25) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_1073,c_8199]) ).
tcf(c_102035,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_15) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26859,c_8199]) ).
tcf(c_102036,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_15) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26158,c_8199]) ).
tcf(c_102037,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_15) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_25333,c_8199]) ).
tcf(c_102038,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_2894,c_8199]) ).
tcf(c_102039,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_22,X0)) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_7267,c_8199]) ).
tcf(c_102040,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_7548,c_8199]) ).
tcf(c_102041,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_25,X0)) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_7796,c_8199]) ).
tcf(c_102044,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,identity) = multiply(iPr_def_21,sk_c10) ) ),
inference(superposition,[status(thm)],[c_17582,c_8199]) ).
tcf(c_102052,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_61030,c_8199]) ).
tcf(c_102053,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_59515,c_8199]) ).
tcf(c_102054,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_55675,c_8199]) ).
tcf(c_102058,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_28,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_48188,c_8199]) ).
tcf(c_102059,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_28,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_46211,c_8199]) ).
tcf(c_102060,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_28,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_44501,c_8199]) ).
tcf(c_102063,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18691,c_8199]) ).
tcf(c_102064,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18105,c_8199]) ).
tcf(c_102083,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_8199,c_16658]) ).
tcf(c_102084,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8199,c_105]) ).
tcf(c_102087,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_8199,c_19618]) ).
tcf(c_102090,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(sk_c10,X0)) = multiply(sk_c10,X0) ) ),
inference(light_normalisation,[status(thm)],[c_102087,c_12891]) ).
tcf(c_102201,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_84315,c_93826]) ).
tcf(c_102239,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_93826,c_645]) ).
tcf(c_102240,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_93826,c_644]) ).
tcf(c_102256,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_85897,c_93832]) ).
tcf(c_102257,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_84315,c_93832]) ).
tcf(c_102259,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_68375,c_93832]) ).
tcf(c_102266,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_52115,c_93832]) ).
tcf(c_102272,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_31378,c_93832]) ).
tcf(c_102273,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_19642,c_93832]) ).
tcf(c_102274,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18691,c_93832]) ).
tcf(c_102275,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18105,c_93832]) ).
tcf(c_102277,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_11846,c_93832]) ).
tcf(c_102291,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1020,c_93832]) ).
tcf(c_102294,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_16 )
| ( inverse(iPr_def_16) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_93832,c_647]) ).
tcf(c_102295,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_16 )
| ( inverse(iPr_def_16) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_93832,c_645]) ).
tcf(c_102296,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_16 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_93832,c_644]) ).
tcf(c_102297,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_16),iPr_def_16) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_93832,c_16658]) ).
tcf(c_102304,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,sk_c10) = multiply(iPr_def_19,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_93832,c_7388]) ).
tcf(c_102355,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_96490,c_3575,c_8807,c_9027]) ).
tcf(c_102370,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_96491,c_3575,c_8771,c_8969]) ).
tcf(c_102403,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_85897,c_93837]) ).
tcf(c_102404,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_84315,c_93837]) ).
tcf(c_102406,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68375,c_93837]) ).
tcf(c_102413,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_28) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_52115,c_93837]) ).
tcf(c_102419,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_93837]) ).
tcf(c_102420,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19642,c_93837]) ).
tcf(c_102421,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18691,c_93837]) ).
tcf(c_102422,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18105,c_93837]) ).
tcf(c_102424,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_11846,c_93837]) ).
tcf(c_102438,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1020,c_93837]) ).
tcf(c_102441,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_22 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_93837,c_647]) ).
tcf(c_102442,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_22 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_93837,c_645]) ).
tcf(c_102443,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_22 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_93837,c_644]) ).
tcf(c_102444,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),iPr_def_22) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_93837,c_16658]) ).
tcf(c_102451,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,sk_c10) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_93837,c_7554]) ).
tcf(c_102487,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_96492,c_3575,c_8783,c_8821]) ).
tcf(c_102538,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_46527,c_9322]) ).
tcf(c_102551,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_9322,c_16658]) ).
tcf(c_102552,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_9322,c_105]) ).
tcf(c_102553,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_9322,c_8026]) ).
tcf(c_102554,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,sk_c1) ) ),
inference(superposition,[status(thm)],[c_9322,c_7950]) ).
tcf(c_102555,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_9322,c_30654]) ).
tcf(c_102561,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_9322,c_29000]) ).
tcf(c_102562,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_9322,c_28930]) ).
tcf(c_102563,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_9322,c_28791]) ).
tcf(c_102564,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,sk_c1) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_9322,c_7304]) ).
tcf(c_102717,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_102561,c_9322]) ).
tcf(c_102718,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,identity) = identity ) ),
inference(superposition,[status(thm)],[c_102561,c_9296]) ).
tcf(c_102733,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_102561,c_8103]) ).
tcf(c_102740,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102561,c_58243]) ).
tcf(c_102751,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102561,c_44757]) ).
tcf(c_102753,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_102561,c_46527]) ).
tcf(c_102763,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_102561,c_34657]) ).
tcf(c_102766,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102561,c_20355]) ).
tcf(c_102768,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_102561,c_27711]) ).
tcf(c_102769,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_102561,c_27708]) ).
tcf(c_102770,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102561,c_18900]) ).
tcf(c_102771,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102561,c_18301]) ).
tcf(c_102778,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102561,c_3305]) ).
tcf(c_102783,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,iPr_def_15) = multiply(iPr_def_28,sk_c11) ) ),
inference(superposition,[status(thm)],[c_102561,c_13499]) ).
tcf(c_102784,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_102561,c_2900]) ).
tcf(c_102788,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_102561,c_2915]) ).
tcf(c_102790,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102561,c_640]) ).
tcf(c_102791,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_102561,c_641]) ).
tcf(c_102811,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_102788,c_103]) ).
tcf(c_102913,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_102753,c_31598]) ).
tcf(c_102933,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_102753,c_17582]) ).
tcf(c_103063,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_102763,c_31598]) ).
tcf(c_103076,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102763,c_18690]) ).
tcf(c_103077,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102763,c_18689]) ).
tcf(c_103078,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102763,c_18688]) ).
tcf(c_103079,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102763,c_18104]) ).
tcf(c_103080,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102763,c_18103]) ).
tcf(c_103081,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102763,c_18102]) ).
tcf(c_103083,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_102763,c_17582]) ).
tcf(c_103118,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_74698,c_75987]) ).
tcf(c_103119,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_70936,c_75987]) ).
tcf(c_103120,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_68774,c_75987]) ).
tcf(c_103121,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61612,c_75987]) ).
tcf(c_103122,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61110,c_75987]) ).
tcf(c_103123,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56152,c_75987]) ).
tcf(c_103127,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26130,c_75987]) ).
tcf(c_103128,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26127,c_75987]) ).
tcf(c_103129,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26125,c_75987]) ).
tcf(c_103130,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25304,c_75987]) ).
tcf(c_103131,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25301,c_75987]) ).
tcf(c_103132,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25299,c_75987]) ).
tcf(c_103151,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_75987,c_16658]) ).
tcf(c_103152,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(iPr_def_29,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_75987,c_105]) ).
tcf(c_103156,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_29) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_75987,c_7628]) ).
tcf(c_103166,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_29) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_103156,c_7556]) ).
tcf(c_103223,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_74698,c_75988]) ).
tcf(c_103224,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_70936,c_75988]) ).
tcf(c_103225,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_68774,c_75988]) ).
tcf(c_103226,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61612,c_75988]) ).
tcf(c_103227,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61110,c_75988]) ).
tcf(c_103228,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56152,c_75988]) ).
tcf(c_103232,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26130,c_75988]) ).
tcf(c_103233,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26127,c_75988]) ).
tcf(c_103234,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26125,c_75988]) ).
tcf(c_103235,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25304,c_75988]) ).
tcf(c_103236,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25301,c_75988]) ).
tcf(c_103237,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25299,c_75988]) ).
tcf(c_103256,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_75988,c_16658]) ).
tcf(c_103257,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(iPr_def_29,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_75988,c_105]) ).
tcf(c_103261,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_29) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_75988,c_7628]) ).
tcf(c_103271,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_29) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_103261,c_7556]) ).
tcf(c_103338,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_654,c_41111]) ).
tcf(c_103409,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8334,c_16658]) ).
tcf(c_103410,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8334,c_105]) ).
tcf(c_103413,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8334,c_23873]) ).
tcf(c_103673,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95451,c_647]) ).
tcf(c_103674,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95451,c_645]) ).
tcf(c_103675,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_95451,c_644]) ).
tcf(c_103676,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_95451,c_16658]) ).
tcf(c_103681,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_95451,c_7628]) ).
tcf(c_103684,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_103681,c_7556]) ).
tcf(c_103742,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95650,c_645]) ).
tcf(c_103743,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_95650,c_644]) ).
tcf(c_103759,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_85897,c_95656]) ).
tcf(c_103764,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_64278,c_95656]) ).
tcf(c_103765,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_64122,c_95656]) ).
tcf(c_103771,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_50112,c_95656]) ).
tcf(c_103775,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_31378,c_95656]) ).
tcf(c_103776,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_19642,c_95656]) ).
tcf(c_103777,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18691,c_95656]) ).
tcf(c_103778,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18105,c_95656]) ).
tcf(c_103792,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1040,c_95656]) ).
tcf(c_103797,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_16 )
| ( inverse(iPr_def_16) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95656,c_647]) ).
tcf(c_103798,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_16 )
| ( inverse(iPr_def_16) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95656,c_645]) ).
tcf(c_103799,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_16 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_95656,c_644]) ).
tcf(c_103800,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_16),iPr_def_16) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_95656,c_16658]) ).
tcf(c_103805,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_16) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_95656,c_7336]) ).
tcf(c_103806,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_95656,c_7334]) ).
tcf(c_103807,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,sk_c10) = multiply(iPr_def_19,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_95656,c_7388]) ).
tcf(c_103858,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_85897,c_95661]) ).
tcf(c_103863,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_64278,c_95661]) ).
tcf(c_103864,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_64122,c_95661]) ).
tcf(c_103870,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_28) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50112,c_95661]) ).
tcf(c_103874,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31378,c_95661]) ).
tcf(c_103875,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19642,c_95661]) ).
tcf(c_103876,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18691,c_95661]) ).
tcf(c_103877,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18105,c_95661]) ).
tcf(c_103891,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1040,c_95661]) ).
tcf(c_103896,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_22 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95661,c_647]) ).
tcf(c_103897,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_22 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95661,c_645]) ).
tcf(c_103898,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_22 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_95661,c_644]) ).
tcf(c_103899,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_22),iPr_def_22) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_95661,c_16658]) ).
tcf(c_103906,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,sk_c10) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_95661,c_7554]) ).
tcf(c_103949,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_61612,c_11818]) ).
tcf(c_103955,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26130,c_11818]) ).
tcf(c_103956,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26127,c_11818]) ).
tcf(c_103957,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26125,c_11818]) ).
tcf(c_103958,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25304,c_11818]) ).
tcf(c_103959,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25301,c_11818]) ).
tcf(c_103960,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25299,c_11818]) ).
tcf(c_103961,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21301,c_11818]) ).
tcf(c_103962,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21298,c_11818]) ).
tcf(c_103966,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18747,c_11818]) ).
tcf(c_103979,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_11818,c_16658]) ).
tcf(c_103980,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_11818,c_105]) ).
tcf(c_103981,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_11818,c_28672]) ).
tcf(c_103982,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_103981,c_14259]) ).
tcf(c_103993,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_103960,c_7301]) ).
tcf(c_103997,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_103959,c_7301]) ).
tcf(c_104001,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_103958,c_7301]) ).
tcf(c_104079,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11823,c_16658]) ).
tcf(c_104080,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_11823,c_105]) ).
tcf(c_104081,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_11823,c_28672]) ).
tcf(c_104082,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_104081,c_14259]) ).
tcf(c_104132,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57942,c_76977]) ).
tcf(c_104134,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56477,c_76977]) ).
tcf(c_104136,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52767,c_76977]) ).
tcf(c_104140,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_74698,c_76977]) ).
tcf(c_104141,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_70936,c_76977]) ).
tcf(c_104142,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68774,c_76977]) ).
tcf(c_104143,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61612,c_76977]) ).
tcf(c_104144,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61110,c_76977]) ).
tcf(c_104145,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_56152,c_76977]) ).
tcf(c_104149,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26130,c_76977]) ).
tcf(c_104150,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26127,c_76977]) ).
tcf(c_104151,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26125,c_76977]) ).
tcf(c_104152,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25304,c_76977]) ).
tcf(c_104153,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25301,c_76977]) ).
tcf(c_104154,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25299,c_76977]) ).
tcf(c_104173,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_76977,c_16658]) ).
tcf(c_104174,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_76977,c_105]) ).
tcf(c_104175,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_76977,c_8026]) ).
tcf(c_104176,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_76977,c_7950]) ).
tcf(c_104186,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_29) = multiply(iPr_def_17,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_76977,c_7304]) ).
tcf(c_104328,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_101797,c_695,c_1322,c_1332,c_1428,c_3992,c_16001]) ).
tcf(c_104491,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57942,c_76978]) ).
tcf(c_104493,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56477,c_76978]) ).
tcf(c_104495,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52767,c_76978]) ).
tcf(c_104499,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_74698,c_76978]) ).
tcf(c_104500,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_70936,c_76978]) ).
tcf(c_104501,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68774,c_76978]) ).
tcf(c_104502,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61612,c_76978]) ).
tcf(c_104503,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61110,c_76978]) ).
tcf(c_104504,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_56152,c_76978]) ).
tcf(c_104508,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26130,c_76978]) ).
tcf(c_104509,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26127,c_76978]) ).
tcf(c_104510,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26125,c_76978]) ).
tcf(c_104511,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25304,c_76978]) ).
tcf(c_104512,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25301,c_76978]) ).
tcf(c_104513,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25299,c_76978]) ).
tcf(c_104532,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_76978,c_16658]) ).
tcf(c_104533,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_76978,c_105]) ).
tcf(c_104534,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_76978,c_8026]) ).
tcf(c_104535,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_76978,c_7950]) ).
tcf(c_104545,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_29) = multiply(iPr_def_17,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_76978,c_7304]) ).
tcf(c_104822,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_101806,c_704,c_655,c_1322,c_1332,c_70349,c_103338]) ).
tcf(c_105299,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57942,c_76979]) ).
tcf(c_105301,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56477,c_76979]) ).
tcf(c_105303,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52767,c_76979]) ).
tcf(c_105307,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_74698,c_76979]) ).
tcf(c_105308,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_70936,c_76979]) ).
tcf(c_105309,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68774,c_76979]) ).
tcf(c_105310,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61612,c_76979]) ).
tcf(c_105311,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_61110,c_76979]) ).
tcf(c_105312,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_56152,c_76979]) ).
tcf(c_105316,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26130,c_76979]) ).
tcf(c_105317,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26127,c_76979]) ).
tcf(c_105318,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26125,c_76979]) ).
tcf(c_105319,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25304,c_76979]) ).
tcf(c_105320,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25301,c_76979]) ).
tcf(c_105321,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25299,c_76979]) ).
tcf(c_105340,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_76979,c_16658]) ).
tcf(c_105341,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_76979,c_105]) ).
tcf(c_105342,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_76979,c_8026]) ).
tcf(c_105343,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_76979,c_7950]) ).
tcf(c_105353,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_29) = multiply(iPr_def_17,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_76979,c_7304]) ).
tcf(c_105615,plain,
! [X0: $i,X1: $i] :
( ( multiply(inverse(X0),sk_c10) = sk_c11 )
| ( sk_c11 != X1 )
| ( multiply(inverse(X0),sk_c10) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105618,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105619,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != sk_c11 )
| ( X0 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_105625,plain,
( ( sk_c11 = multiply(identity,sk_c11) )
| ( sk_c11 != sk_c11 )
| ( multiply(identity,sk_c11) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105619]) ).
tcf(c_105628,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105631,plain,
( ( sk_c11 = iPr_def_25 )
| ( iPr_def_25 != sk_c11 )
| ( sk_c11 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105619]) ).
tcf(c_105633,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != iPr_def_20 )
| ( X0 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_105637,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_105641,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_105645,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != multiply(identity,sk_c11) )
| ( X0 != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_105652,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != iPr_def_20 )
| ( X0 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_105654,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_105655,plain,
( ( sk_c10 = sk_c11 )
| ( sk_c11 != iPr_def_22 )
| ( sk_c10 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105654]) ).
tcf(c_105656,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_105659,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != multiply(identity,sk_c11) )
| ( X0 != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_105661,plain,
( ( sk_c11 = multiply(identity,iPr_def_20) )
| ( sk_c11 != iPr_def_20 )
| ( multiply(identity,iPr_def_20) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105633]) ).
tcf(c_105662,plain,
multiply(identity,iPr_def_20) = iPr_def_20,
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_105664,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105671,plain,
( ( sk_c11 = iPr_def_29 )
| ( iPr_def_29 != sk_c11 )
| ( sk_c11 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105619]) ).
tcf(c_105673,plain,
multiply(identity,iPr_def_22) = iPr_def_22,
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_105675,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105679,plain,
( ( sk_c11 = multiply(identity,iPr_def_25) )
| ( sk_c11 != iPr_def_25 )
| ( multiply(identity,iPr_def_25) != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105641]) ).
tcf(c_105682,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105683,plain,
( ( sk_c11 = iPr_def_22 )
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c11 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105641]) ).
tcf(c_105684,plain,
( ( sk_c11 = iPr_def_20 )
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c11 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105641]) ).
tcf(c_105694,plain,
( ( iPr_def_22 = sk_c11 )
| ( iPr_def_22 != iPr_def_22 )
| ( sk_c11 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105654]) ).
tcf(c_105695,plain,
iPr_def_22 = iPr_def_22,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_105700,plain,
( ( iPr_def_25 = sk_c11 )
| ( iPr_def_25 != iPr_def_25 )
| ( sk_c11 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105656]) ).
tcf(c_105701,plain,
iPr_def_25 = iPr_def_25,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_105704,plain,
( ( iPr_def_20 = sk_c11 )
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c11 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105656]) ).
tcf(c_105706,plain,
( ( sk_c11 = multiply(identity,multiply(identity,sk_c11)) )
| ( sk_c11 != multiply(identity,sk_c11) )
| ( multiply(identity,multiply(identity,sk_c11)) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_105645]) ).
tcf(c_105707,plain,
multiply(identity,multiply(identity,sk_c11)) = multiply(identity,sk_c11),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_105709,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(identity,sk_c11) )
| ( X1 != X0 )
| ( multiply(identity,sk_c11) != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105711,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = multiply(X0,X1) )
| ( sk_c11 != multiply(identity,sk_c11) )
| ( multiply(X0,X1) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_105645]) ).
tcf(c_105712,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = multiply(identity,sk_c11) )
| ( X1 != sk_c11 )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_105713,plain,
( ( sk_c11 = multiply(sk_c10,sk_c10) )
| ( sk_c11 != multiply(identity,sk_c11) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_105711]) ).
tcf(c_105714,plain,
( ( multiply(sk_c10,sk_c10) = multiply(identity,sk_c11) )
| ( sk_c10 != identity )
| ( sk_c10 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105712]) ).
tcf(c_105723,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != iPr_def_27 )
| ( X0 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_105724,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != iPr_def_27 )
| ( X0 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_105728,plain,
( ( sk_c10 = sk_c11 )
| ( sk_c11 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105723]) ).
tcf(c_105729,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_105730,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_105733,plain,
( ( sk_c11 = sk_c10 )
| ( sk_c11 != iPr_def_28 )
| ( sk_c10 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_105730]) ).
tcf(c_105734,plain,
( ( sk_c10 = sk_c11 )
| ( sk_c11 != iPr_def_28 )
| ( sk_c10 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_105729]) ).
tcf(c_105735,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != iPr_def_29 )
| ( X0 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_105736,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != iPr_def_29 )
| ( X0 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_105744,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != multiply(identity,iPr_def_22) )
| ( X0 != multiply(identity,iPr_def_22) ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_105749,plain,
( ( multiply(identity,iPr_def_22) = sk_c11 )
| ( sk_c11 != iPr_def_22 )
| ( multiply(identity,iPr_def_22) != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105654]) ).
tcf(c_105751,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != multiply(identity,iPr_def_25) )
| ( X0 != multiply(identity,iPr_def_25) ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_105780,plain,
( ( multiply(identity,multiply(identity,sk_c11)) = sk_c11 )
| ( sk_c11 != multiply(identity,sk_c11) )
| ( multiply(identity,multiply(identity,sk_c11)) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_105659]) ).
tcf(c_105786,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = X0 )
| ( iPr_def_20 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105787,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != multiply(sk_c8,sk_c10) )
| ( X0 != multiply(sk_c8,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_105664]) ).
tcf(c_105789,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105664]) ).
tcf(c_105792,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = X0 )
| ( iPr_def_22 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105795,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105675]) ).
tcf(c_105799,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = X0 )
| ( iPr_def_25 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105800,plain,
! [X0: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != inverse(sk_c3) )
| ( X0 != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_105682]) ).
tcf(c_105805,plain,
! [X0: $i,X1: $i] :
( ( multiply(identity,sk_c11) = X1 )
| ( X1 != X0 )
| ( multiply(identity,sk_c11) != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105812,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != multiply(identity,multiply(identity,sk_c11)) )
| ( X0 != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_105813,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != multiply(identity,multiply(identity,sk_c11)) )
| ( X0 != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_105824,plain,
! [X0: $i] :
( ( X0 = multiply(identity,sk_c11) )
| ( X0 != sk_c11 )
| ( multiply(identity,sk_c11) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105709]) ).
tcf(c_105825,plain,
( ( sk_c10 = multiply(identity,sk_c11) )
| ( sk_c10 != sk_c11 )
| ( multiply(identity,sk_c11) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105824]) ).
tcf(c_105839,plain,
! [X0: $i,X1: $i] :
( ( X0 = identity )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105842,plain,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_27 != iPr_def_27 )
| ( sk_c11 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105723]) ).
tcf(c_105843,plain,
iPr_def_27 = iPr_def_27,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_105844,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_27 )
| ( iPr_def_27 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105855,plain,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_28 != iPr_def_28 )
| ( sk_c11 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_105729]) ).
tcf(c_105856,plain,
iPr_def_28 = iPr_def_28,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_105857,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_28 )
| ( iPr_def_28 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105868,plain,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_29 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_105735]) ).
tcf(c_105869,plain,
iPr_def_29 = iPr_def_29,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_105870,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_29 )
| ( iPr_def_29 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105900,plain,
( ( iPr_def_25 = iPr_def_20 )
| ( iPr_def_25 != iPr_def_25 )
| ( iPr_def_20 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105789]) ).
tcf(c_105915,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(identity,multiply(identity,sk_c11)) )
| ( X1 != X0 )
| ( multiply(identity,multiply(identity,sk_c11)) != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105917,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = multiply(X0,X1) )
| ( sk_c11 != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(X0,X1) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_105813]) ).
tcf(c_105918,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = multiply(identity,multiply(identity,sk_c11)) )
| ( X1 != multiply(identity,sk_c11) )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_105919,plain,
( ( sk_c11 = multiply(sk_c10,sk_c10) )
| ( sk_c11 != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_105917]) ).
tcf(c_105920,plain,
( ( multiply(sk_c10,sk_c10) = multiply(identity,multiply(identity,sk_c11)) )
| ( sk_c10 != identity )
| ( sk_c10 != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_105918]) ).
tcf(c_105926,plain,
( ( multiply(sk_c8,sk_c10) = iPr_def_20 )
| ( iPr_def_20 != multiply(sk_c8,sk_c10) )
| ( multiply(sk_c8,sk_c10) != multiply(sk_c8,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_105787]) ).
tcf(c_105927,plain,
multiply(sk_c8,sk_c10) = multiply(sk_c8,sk_c10),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_105928,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(sk_c8,sk_c10) )
| ( X1 != X0 )
| ( multiply(sk_c8,sk_c10) != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105934,plain,
( ( iPr_def_20 = iPr_def_20 )
| ( iPr_def_20 != multiply(sk_c8,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_105787]) ).
tcf(c_105950,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(sk_c3) )
| ( X1 != X0 )
| ( inverse(sk_c3) != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_105956,plain,
! [X0: $i] :
( ( iPr_def_20 = X0 )
| ( iPr_def_20 != iPr_def_20 )
| ( X0 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105786]) ).
tcf(c_105960,plain,
! [X0: $i] :
( ( iPr_def_20 = X0 )
| ( iPr_def_20 != multiply(sk_c8,sk_c10) )
| ( X0 != multiply(sk_c8,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_105786]) ).
tcf(c_105961,plain,
( ( iPr_def_20 = sk_c10 )
| ( iPr_def_20 != multiply(sk_c8,sk_c10) )
| ( sk_c10 != multiply(sk_c8,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_105960]) ).
tcf(c_105971,plain,
! [X0: $i] :
( ( iPr_def_22 = X0 )
| ( iPr_def_22 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105792]) ).
tcf(c_105978,plain,
! [X0: $i] :
( ( iPr_def_25 = X0 )
| ( iPr_def_25 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105799]) ).
tcf(c_105982,plain,
! [X0: $i] :
( ( multiply(identity,sk_c11) = X0 )
| ( X0 != multiply(identity,sk_c11) )
| ( multiply(identity,sk_c11) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_105805]) ).
tcf(c_105983,plain,
multiply(identity,sk_c11) = multiply(identity,sk_c11),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_105988,plain,
! [X0: $i] :
( ( multiply(identity,sk_c11) = X0 )
| ( X0 != sk_c11 )
| ( multiply(identity,sk_c11) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105805]) ).
tcf(c_105989,plain,
( ( multiply(identity,sk_c11) = sk_c10 )
| ( sk_c10 != sk_c11 )
| ( multiply(identity,sk_c11) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105988]) ).
tcf(c_106042,plain,
! [X0: $i,X1: $i] :
( ( identity = X0 )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_106108,plain,
( ( iPr_def_20 = sk_c11 )
| ( iPr_def_20 != iPr_def_22 )
| ( sk_c11 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105654]) ).
tcf(c_106111,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105664]) ).
tcf(c_106131,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_27 != X0 )
| ( iPr_def_20 != X0 ) ),
inference(instantiation,[status(thm)],[c_105844]) ).
tcf(c_106133,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != iPr_def_27 )
| ( X0 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105664]) ).
tcf(c_106135,plain,
( ( sk_c10 = iPr_def_20 )
| ( iPr_def_20 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_106133]) ).
tcf(c_106145,plain,
( ( multiply(inverse(sk_c10),sk_c10) = sk_c11 )
| ( sk_c11 != identity )
| ( multiply(inverse(sk_c10),sk_c10) != identity ) ),
inference(instantiation,[status(thm)],[c_105615]) ).
tcf(c_106191,plain,
( ( iPr_def_20 = sk_c11 )
| ( iPr_def_20 != iPr_def_20 )
| ( sk_c11 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105652]) ).
tcf(c_106192,plain,
( ( iPr_def_22 = sk_c11 )
| ( iPr_def_22 != iPr_def_20 )
| ( sk_c11 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105652]) ).
tcf(c_106318,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_25 != X0 )
| ( iPr_def_22 != X0 ) ),
inference(instantiation,[status(thm)],[c_105682]) ).
tcf(c_106377,plain,
! [X0: $i,X1: $i] :
( ( multiply(identity,multiply(identity,sk_c11)) = multiply(X1,X0) )
| ( identity != X1 )
| ( multiply(identity,sk_c11) != X0 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_106379,plain,
( ( multiply(identity,multiply(identity,sk_c11)) = multiply(sk_c10,sk_c10) )
| ( identity != sk_c10 )
| ( multiply(identity,sk_c11) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_106377]) ).
tcf(c_106381,plain,
! [X0: $i] :
( ( multiply(identity,multiply(identity,sk_c11)) = iPr_def_25 )
| ( iPr_def_25 != X0 )
| ( multiply(identity,multiply(identity,sk_c11)) != X0 ) ),
inference(instantiation,[status(thm)],[c_105682]) ).
tcf(c_106433,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,inverse(X0)) = sk_c11 )
| ( sk_c11 != X1 )
| ( multiply(X0,inverse(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_106447,plain,
! [X0: $i] :
( ( multiply(X0,inverse(X0)) = sk_c11 )
| ( sk_c11 != multiply(identity,iPr_def_25) )
| ( multiply(X0,inverse(X0)) != multiply(identity,iPr_def_25) ) ),
inference(instantiation,[status(thm)],[c_105751]) ).
tcf(c_106448,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = sk_c11 )
| ( sk_c11 != multiply(identity,iPr_def_25) )
| ( multiply(sk_c10,inverse(sk_c10)) != multiply(identity,iPr_def_25) ) ),
inference(instantiation,[status(thm)],[c_106447]) ).
tcf(c_106475,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != multiply(identity,sk_c11) )
| ( X0 != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_105664]) ).
tcf(c_106491,plain,
( ( iPr_def_22 = iPr_def_20 )
| ( iPr_def_22 != iPr_def_22 )
| ( iPr_def_20 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105971]) ).
tcf(c_106493,plain,
( ( iPr_def_22 = multiply(identity,iPr_def_22) )
| ( iPr_def_22 != iPr_def_22 )
| ( multiply(identity,iPr_def_22) != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105971]) ).
tcf(c_106501,plain,
( ( iPr_def_25 = multiply(identity,multiply(identity,sk_c11)) )
| ( iPr_def_25 != iPr_def_25 )
| ( multiply(identity,multiply(identity,sk_c11)) != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105978]) ).
tcf(c_106512,plain,
( ( sk_c11 = iPr_def_25 )
| ( iPr_def_25 != iPr_def_20 )
| ( sk_c11 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105633]) ).
tcf(c_106558,plain,
! [X0: $i] :
( ( X0 = multiply(identity,multiply(identity,sk_c11)) )
| ( X0 != sk_c11 )
| ( multiply(identity,multiply(identity,sk_c11)) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105915]) ).
tcf(c_106611,plain,
! [X0: $i] :
( ( iPr_def_20 = identity )
| ( iPr_def_20 != X0 )
| ( identity != X0 ) ),
inference(instantiation,[status(thm)],[c_105839]) ).
tcf(c_106613,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_105664]) ).
tcf(c_106615,plain,
( ( sk_c10 = iPr_def_20 )
| ( iPr_def_20 != identity )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_106613]) ).
tcf(c_106619,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_105675]) ).
tcf(c_106621,plain,
( ( sk_c10 = iPr_def_22 )
| ( iPr_def_22 != identity )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_106619]) ).
tcf(c_106625,plain,
! [X0: $i] :
( ( multiply(identity,multiply(identity,sk_c11)) = identity )
| ( identity != X0 )
| ( multiply(identity,multiply(identity,sk_c11)) != X0 ) ),
inference(instantiation,[status(thm)],[c_105839]) ).
tcf(c_106626,plain,
! [X0: $i] :
( ( X0 = multiply(identity,multiply(identity,sk_c11)) )
| ( X0 != identity )
| ( multiply(identity,multiply(identity,sk_c11)) != identity ) ),
inference(instantiation,[status(thm)],[c_105915]) ).
tcf(c_106630,plain,
( ( sk_c10 = multiply(identity,multiply(identity,sk_c11)) )
| ( sk_c10 != identity )
| ( multiply(identity,multiply(identity,sk_c11)) != identity ) ),
inference(instantiation,[status(thm)],[c_106626]) ).
tcf(c_106649,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c3 )
| ( sk_c3 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_106677,plain,
( ( iPr_def_20 = multiply(identity,iPr_def_20) )
| ( iPr_def_20 != iPr_def_20 )
| ( multiply(identity,iPr_def_20) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105956]) ).
tcf(c_106821,plain,
! [X0: $i] :
( ( X0 = multiply(sk_c8,sk_c10) )
| ( X0 != sk_c11 )
| ( multiply(sk_c8,sk_c10) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105928]) ).
tcf(c_106830,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( sk_c11 != iPr_def_20 )
| ( multiply(sk_c8,sk_c10) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105652]) ).
tcf(c_106831,plain,
( ( sk_c10 = multiply(sk_c8,sk_c10) )
| ( sk_c10 != sk_c11 )
| ( multiply(sk_c8,sk_c10) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_106821]) ).
tcf(c_106979,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = inverse(sk_c3) )
| ( inverse(sk_c3) != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_105950]) ).
tcf(c_106980,plain,
( ( inverse(sk_c10) = inverse(sk_c3) )
| ( inverse(sk_c3) != sk_c10 )
| ( inverse(sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_106979]) ).
tcf(c_107028,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( iPr_def_20 != X0 )
| ( identity != X0 ) ),
inference(instantiation,[status(thm)],[c_106042]) ).
tcf(c_107029,plain,
( ( iPr_def_20 = identity )
| ( iPr_def_20 != iPr_def_20 )
| ( identity != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105956]) ).
tcf(c_107030,plain,
( ( sk_c11 = identity )
| ( identity != iPr_def_20 )
| ( sk_c11 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105633]) ).
tcf(c_107033,plain,
( ( iPr_def_22 = identity )
| ( iPr_def_22 != iPr_def_22 )
| ( identity != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105971]) ).
tcf(c_107034,plain,
( ( identity = sk_c11 )
| ( identity != iPr_def_22 )
| ( sk_c11 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105654]) ).
tcf(c_107035,plain,
( ( sk_c11 = identity )
| ( identity != iPr_def_22 )
| ( sk_c11 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_105637]) ).
tcf(c_107105,plain,
! [X0: $i] :
( ( sk_c11 = multiply(identity,iPr_def_22) )
| ( sk_c11 != X0 )
| ( multiply(identity,iPr_def_22) != X0 ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_107132,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,inverse(X0)) = iPr_def_25 )
| ( iPr_def_25 != X1 )
| ( multiply(X0,inverse(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_105682]) ).
tcf(c_107141,plain,
( ( sk_c11 = iPr_def_20 )
| ( iPr_def_20 != iPr_def_27 )
| ( sk_c11 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105724]) ).
tcf(c_107148,plain,
! [X0: $i] :
( ( multiply(X0,inverse(X0)) = multiply(identity,iPr_def_25) )
| ( X0 != identity )
| ( inverse(X0) != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_107149,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = multiply(identity,iPr_def_25) )
| ( sk_c10 != identity )
| ( inverse(sk_c10) != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_107148]) ).
tcf(c_107160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,inverse(X0)) = X2 )
| ( X2 != X1 )
| ( multiply(X0,inverse(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_107161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,inverse(X0)) = sk_c11 )
| ( sk_c11 != multiply(X1,X2) )
| ( multiply(X0,inverse(X0)) != multiply(X1,X2) ) ),
inference(instantiation,[status(thm)],[c_106433]) ).
tcf(c_107162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,inverse(X0)) = multiply(X2,X1) )
| ( X0 != X2 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_107163,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = sk_c11 )
| ( sk_c11 != multiply(sk_c10,sk_c10) )
| ( multiply(sk_c10,inverse(sk_c10)) != multiply(sk_c10,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_107161]) ).
tcf(c_107164,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = multiply(sk_c10,sk_c10) )
| ( sk_c10 != sk_c10 )
| ( inverse(sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_107162]) ).
tcf(c_107258,plain,
( ( iPr_def_20 = multiply(identity,sk_c11) )
| ( iPr_def_20 != sk_c11 )
| ( multiply(identity,sk_c11) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105824]) ).
tcf(c_107261,plain,
( ( iPr_def_22 = multiply(identity,sk_c11) )
| ( iPr_def_22 != sk_c11 )
| ( multiply(identity,sk_c11) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_105824]) ).
tcf(c_107390,plain,
! [X0: $i] :
( ( iPr_def_28 = identity )
| ( iPr_def_28 != X0 )
| ( identity != X0 ) ),
inference(instantiation,[status(thm)],[c_105839]) ).
tcf(c_107410,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_27 )
| ( iPr_def_28 != X0 )
| ( iPr_def_27 != X0 ) ),
inference(instantiation,[status(thm)],[c_105844]) ).
tcf(c_107445,plain,
! [X0: $i] :
( ( iPr_def_29 = iPr_def_27 )
| ( iPr_def_29 != X0 )
| ( iPr_def_27 != X0 ) ),
inference(instantiation,[status(thm)],[c_105844]) ).
tcf(c_107594,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_27 != iPr_def_22 )
| ( iPr_def_20 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_106131]) ).
tcf(c_107719,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_25 )
| ( iPr_def_25 != X0 )
| ( sk_c3 != X0 ) ),
inference(instantiation,[status(thm)],[c_105682]) ).
tcf(c_107939,plain,
( ( sk_c11 = iPr_def_20 )
| ( iPr_def_20 != multiply(identity,multiply(identity,sk_c11)) )
| ( sk_c11 != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_105813]) ).
tcf(c_108147,plain,
! [X0: $i,X1: $i] :
( ( sk_c3 = X0 )
| ( sk_c3 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_108445,plain,
! [X0: $i,X1: $i] :
( ( inverse(inverse(X0)) = inverse(X1) )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_701]) ).
tcf(c_108446,plain,
( ( inverse(inverse(sk_c10)) = inverse(sk_c10) )
| ( inverse(sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_108445]) ).
tcf(c_108612,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = X0 )
| ( iPr_def_27 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_108620,plain,
! [X0: $i] :
( ( iPr_def_27 = identity )
| ( iPr_def_27 != X0 )
| ( identity != X0 ) ),
inference(instantiation,[status(thm)],[c_105839]) ).
tcf(c_108624,plain,
( ( iPr_def_27 = iPr_def_25 )
| ( iPr_def_27 != inverse(sk_c3) )
| ( iPr_def_25 != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_105800]) ).
tcf(c_108648,plain,
( ( iPr_def_27 = multiply(identity,multiply(identity,sk_c11)) )
| ( iPr_def_27 != sk_c11 )
| ( multiply(identity,multiply(identity,sk_c11)) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_106558]) ).
tcf(c_108652,plain,
! [X0: $i] :
( ( iPr_def_27 = inverse(sk_c3) )
| ( iPr_def_27 != X0 )
| ( inverse(sk_c3) != X0 ) ),
inference(instantiation,[status(thm)],[c_105950]) ).
tcf(c_108760,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_25 != iPr_def_20 )
| ( iPr_def_22 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_106318]) ).
tcf(c_108780,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != multiply(identity,iPr_def_22) )
| ( X0 != multiply(identity,iPr_def_22) ) ),
inference(instantiation,[status(thm)],[c_105675]) ).
tcf(c_108806,plain,
! [X0: $i] :
( ( sk_c3 = multiply(identity,sk_c11) )
| ( sk_c3 != X0 )
| ( multiply(identity,sk_c11) != X0 ) ),
inference(instantiation,[status(thm)],[c_105709]) ).
tcf(c_108830,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != multiply(identity,iPr_def_20) )
| ( X0 != multiply(identity,iPr_def_20) ) ),
inference(instantiation,[status(thm)],[c_105664]) ).
tcf(c_109057,plain,
( ( multiply(identity,iPr_def_22) = iPr_def_20 )
| ( iPr_def_20 != iPr_def_22 )
| ( multiply(identity,iPr_def_22) != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_106111]) ).
tcf(c_109158,plain,
( ( multiply(identity,multiply(identity,sk_c11)) = iPr_def_25 )
| ( iPr_def_25 != sk_c11 )
| ( multiply(identity,multiply(identity,sk_c11)) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_106381]) ).
tcf(c_109400,plain,
( ( iPr_def_20 = identity )
| ( iPr_def_20 != iPr_def_22 )
| ( identity != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_106611]) ).
tcf(c_109505,plain,
( ( multiply(identity,multiply(identity,sk_c11)) = identity )
| ( identity != sk_c11 )
| ( multiply(identity,multiply(identity,sk_c11)) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_106625]) ).
tcf(c_110055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = multiply(identity,multiply(identity,sk_c11)) )
| ( X2 != multiply(X0,X1) )
| ( multiply(identity,multiply(identity,sk_c11)) != multiply(X0,X1) ) ),
inference(instantiation,[status(thm)],[c_105915]) ).
tcf(c_110363,plain,
( ( iPr_def_20 = multiply(identity,multiply(identity,sk_c11)) )
| ( iPr_def_20 != identity )
| ( multiply(identity,multiply(identity,sk_c11)) != identity ) ),
inference(instantiation,[status(thm)],[c_106626]) ).
tcf(c_110419,plain,
( ( sk_c3 = multiply(identity,multiply(identity,sk_c11)) )
| ( sk_c3 != identity )
| ( multiply(identity,multiply(identity,sk_c11)) != identity ) ),
inference(instantiation,[status(thm)],[c_106626]) ).
tcf(c_111916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,inverse(X1)) = inverse(X0) )
| ( inverse(X0) != X2 )
| ( multiply(X0,inverse(X1)) != X2 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_111917,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = inverse(sk_c10) )
| ( inverse(sk_c10) != sk_c10 )
| ( multiply(sk_c10,inverse(sk_c10)) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_111916]) ).
tcf(c_111918,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(sk_c3)) != inverse(X0) )
| ( multiply(sk_c3,inverse(X0)) != inverse(sk_c3) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_643]) ).
tcf(c_111919,plain,
! [X0: $i,X1: $i] :
( ( multiply(sk_c3,inverse(X0)) = inverse(sk_c3) )
| ( inverse(sk_c3) != X1 )
| ( multiply(sk_c3,inverse(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_105950]) ).
tcf(c_111920,plain,
( ~ iPr_def_14
| ( inverse(inverse(sk_c3)) != inverse(sk_c10) )
| ( multiply(sk_c3,inverse(sk_c10)) != inverse(sk_c3) )
| ( multiply(sk_c10,inverse(sk_c10)) != sk_c11 )
| ( multiply(inverse(sk_c10),sk_c10) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_111918]) ).
tcf(c_112376,plain,
( ( inverse(identity) = sk_c11 )
| ( sk_c11 != multiply(identity,multiply(identity,sk_c11)) )
| ( inverse(identity) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_105812]) ).
tcf(c_112992,plain,
( ( iPr_def_27 = multiply(identity,multiply(identity,sk_c11)) )
| ( iPr_def_27 != identity )
| ( multiply(identity,multiply(identity,sk_c11)) != identity ) ),
inference(instantiation,[status(thm)],[c_106626]) ).
tcf(c_113237,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,inverse(X0)) = X1 )
| ( X1 != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_107160]) ).
tcf(c_113238,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = sk_c10 )
| ( sk_c10 != sk_c11 )
| ( multiply(sk_c10,inverse(sk_c10)) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_113237]) ).
tcf(c_113316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,inverse(X0)) = X3 )
| ( X3 != multiply(X1,X2) )
| ( multiply(X0,inverse(X0)) != multiply(X1,X2) ) ),
inference(instantiation,[status(thm)],[c_107160]) ).
tcf(c_113319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,inverse(X0)) = iPr_def_25 )
| ( iPr_def_25 != multiply(X1,X2) )
| ( multiply(X0,inverse(X0)) != multiply(X1,X2) ) ),
inference(instantiation,[status(thm)],[c_107132]) ).
tcf(c_113321,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = iPr_def_25 )
| ( iPr_def_25 != multiply(sk_c10,sk_c10) )
| ( multiply(sk_c10,inverse(sk_c10)) != multiply(sk_c10,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_113319]) ).
tcf(c_113324,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = sk_c10 )
| ( sk_c10 != multiply(sk_c10,sk_c10) )
| ( multiply(sk_c10,inverse(sk_c10)) != multiply(sk_c10,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_113316]) ).
tcf(c_113805,plain,
( ( iPr_def_28 = identity )
| ( iPr_def_28 != iPr_def_29 )
| ( identity != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_107390]) ).
tcf(c_113825,plain,
( ( iPr_def_28 = iPr_def_27 )
| ( iPr_def_28 != iPr_def_28 )
| ( iPr_def_27 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_107410]) ).
tcf(c_114245,plain,
! [X0: $i] :
( ( iPr_def_27 = X0 )
| ( iPr_def_27 != sk_c11 )
| ( X0 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_108612]) ).
tcf(c_114284,plain,
( ( iPr_def_27 = identity )
| ( iPr_def_27 != iPr_def_28 )
| ( identity != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_108620]) ).
tcf(c_114308,plain,
( ( iPr_def_27 = identity )
| ( iPr_def_27 != iPr_def_27 )
| ( identity != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_108620]) ).
tcf(c_114439,plain,
( ( iPr_def_29 = iPr_def_27 )
| ( iPr_def_29 != iPr_def_29 )
| ( iPr_def_27 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_107445]) ).
tcf(c_114440,plain,
( ( iPr_def_28 = iPr_def_27 )
| ( iPr_def_28 != iPr_def_29 )
| ( iPr_def_27 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_107410]) ).
tcf(c_114960,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_76980,c_158,c_704,c_709,c_629,c_642,c_1562,c_2405,c_4190,c_4191,c_4192,c_8676,c_8821,c_9587,c_16018,c_19220,c_19223,c_49143,c_49845,c_50112,c_54806,c_55946,c_65423,c_85897,c_87069,c_88738,c_96076,c_101799,c_102487,c_105625,c_105713,c_105714,c_105734,c_106145,c_107163,c_107164,c_108446,c_111917,c_113238]) ).
tcf(c_115030,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_114960,c_87221]) ).
tcf(c_115031,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_114960,c_95646]) ).
tcf(c_115032,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_114960,c_95645]) ).
tcf(c_115033,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_114960,c_87075]) ).
tcf(c_115034,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_114960,c_87072]) ).
tcf(c_115035,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_114960,c_87069]) ).
tcf(c_115036,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_114960,c_83236]) ).
tcf(c_115037,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_114960,c_72357]) ).
tcf(c_115038,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_114960,c_80289]) ).
tcf(c_115039,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_114960,c_68727]) ).
tcf(c_115040,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_68579]) ).
tcf(c_115041,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_114960,c_78542]) ).
tcf(c_115042,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_114960,c_67688]) ).
tcf(c_115043,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_67412]) ).
tcf(c_115044,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_114960,c_77003]) ).
tcf(c_115045,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_114960,c_65061]) ).
tcf(c_115046,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_114960,c_65058]) ).
tcf(c_115047,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114960,c_65055]) ).
tcf(c_115048,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_114960,c_65052]) ).
tcf(c_115049,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_65044]) ).
tcf(c_115050,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_54461]) ).
tcf(c_115051,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_53942]) ).
tcf(c_115052,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_50970]) ).
tcf(c_115066,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_114960,c_36104]) ).
tcf(c_115073,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_114960,c_13385]) ).
tcf(c_115074,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_18905]) ).
tcf(c_115076,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_18306]) ).
tcf(c_115079,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_114960,c_14691]) ).
tcf(c_115080,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_114960,c_14688]) ).
tcf(c_115081,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114960,c_14685]) ).
tcf(c_115082,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_114960,c_14682]) ).
tcf(c_115083,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_14676]) ).
tcf(c_115084,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_114960,c_14053]) ).
tcf(c_115085,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114960,c_14048]) ).
tcf(c_115086,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_114960,c_14045]) ).
tcf(c_115087,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_14039]) ).
tcf(c_115088,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_114960,c_21947]) ).
tcf(c_115102,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_3105]) ).
tcf(c_115103,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_3028]) ).
tcf(c_115113,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_114960,c_2895]) ).
tcf(c_115114,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_114960,c_2894]) ).
tcf(c_115115,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_2862]) ).
tcf(c_115127,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_114960,c_1947]) ).
tcf(c_115130,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_114960,c_1844]) ).
tcf(c_115136,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_114960,c_646]) ).
tcf(c_115139,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_114960,c_687]) ).
tcf(c_115140,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114960,c_686]) ).
tcf(c_115141,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114960,c_684]) ).
tcf(c_115143,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_114960,c_681]) ).
tcf(c_115152,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_114960,c_638]) ).
tcf(c_115156,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114960,c_627]) ).
tcf(c_115964,plain,
( ( iPr_def_27 = inverse(sk_c3) )
| ( iPr_def_27 != multiply(identity,multiply(identity,sk_c11)) )
| ( inverse(sk_c3) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_108652]) ).
tcf(c_115970,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_22 )
| ( iPr_def_22 != multiply(identity,iPr_def_22) )
| ( multiply(X0,X1) != multiply(identity,iPr_def_22) ) ),
inference(instantiation,[status(thm)],[c_108780]) ).
tcf(c_115971,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = multiply(identity,iPr_def_22) )
| ( X1 != iPr_def_22 )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_115972,plain,
( ( multiply(sk_c10,sk_c10) = iPr_def_22 )
| ( iPr_def_22 != multiply(identity,iPr_def_22) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,iPr_def_22) ) ),
inference(instantiation,[status(thm)],[c_115970]) ).
tcf(c_115973,plain,
( ( multiply(sk_c10,sk_c10) = multiply(identity,iPr_def_22) )
| ( sk_c10 != iPr_def_22 )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_115971]) ).
tcf(c_115998,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_20 )
| ( iPr_def_20 != multiply(identity,iPr_def_20) )
| ( multiply(X0,X1) != multiply(identity,iPr_def_20) ) ),
inference(instantiation,[status(thm)],[c_108830]) ).
tcf(c_115999,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = multiply(identity,iPr_def_20) )
| ( X1 != iPr_def_20 )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_116000,plain,
( ( multiply(sk_c10,sk_c10) = iPr_def_20 )
| ( iPr_def_20 != multiply(identity,iPr_def_20) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,iPr_def_20) ) ),
inference(instantiation,[status(thm)],[c_115998]) ).
tcf(c_116001,plain,
( ( multiply(sk_c10,sk_c10) = multiply(identity,iPr_def_20) )
| ( sk_c10 != iPr_def_20 )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_115999]) ).
tcf(c_117727,plain,
( ( sk_c3 = multiply(identity,sk_c11) )
| ( sk_c3 != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(identity,sk_c11) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_108806]) ).
tcf(c_118355,plain,
! [X0: $i] :
( ( identity = sk_c11 )
| ( identity != X0 )
| ( sk_c11 != X0 ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_118360,plain,
( ( identity = sk_c11 )
| ( identity != iPr_def_20 )
| ( sk_c11 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105652]) ).
tcf(c_118449,plain,
( ( iPr_def_27 = iPr_def_22 )
| ( iPr_def_27 != sk_c11 )
| ( iPr_def_22 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_114245]) ).
tcf(c_118467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(sk_c3,inverse(X0)) = inverse(sk_c3) )
| ( inverse(sk_c3) != multiply(X1,X2) )
| ( multiply(sk_c3,inverse(X0)) != multiply(X1,X2) ) ),
inference(instantiation,[status(thm)],[c_111919]) ).
tcf(c_118468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(sk_c3,inverse(X0)) = multiply(X2,X1) )
| ( sk_c3 != X2 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_118470,plain,
( ( multiply(sk_c3,inverse(sk_c10)) = multiply(sk_c10,sk_c10) )
| ( sk_c3 != sk_c10 )
| ( inverse(sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_118468]) ).
tcf(c_118622,plain,
( ( sk_c11 = identity )
| ( identity != iPr_def_27 )
| ( sk_c11 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105724]) ).
tcf(c_118907,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = multiply(X0,X1) )
| ( sk_c11 != multiply(identity,iPr_def_22) )
| ( multiply(X0,X1) != multiply(identity,iPr_def_22) ) ),
inference(instantiation,[status(thm)],[c_105744]) ).
tcf(c_118914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_c11 = multiply(X0,X1) )
| ( sk_c11 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_118915,plain,
( ( sk_c11 = multiply(sk_c10,sk_c10) )
| ( sk_c11 != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_118914]) ).
tcf(c_118921,plain,
( ( sk_c11 = multiply(sk_c10,sk_c10) )
| ( sk_c11 != multiply(identity,iPr_def_22) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,iPr_def_22) ) ),
inference(instantiation,[status(thm)],[c_118907]) ).
tcf(c_119219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = multiply(X0,X1) )
| ( X3 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_119220,plain,
( ( sk_c10 = multiply(sk_c10,sk_c10) )
| ( sk_c10 != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_119219]) ).
tcf(c_119806,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( iPr_def_29 != X0 )
| ( identity != X0 ) ),
inference(instantiation,[status(thm)],[c_105870]) ).
tcf(c_119833,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( iPr_def_28 != X0 )
| ( identity != X0 ) ),
inference(instantiation,[status(thm)],[c_105857]) ).
tcf(c_120131,plain,
( ( sk_c3 = iPr_def_25 )
| ( iPr_def_25 != iPr_def_20 )
| ( sk_c3 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_107719]) ).
tcf(c_120161,plain,
( ( sk_c11 = multiply(identity,iPr_def_22) )
| ( sk_c11 != iPr_def_20 )
| ( multiply(identity,iPr_def_22) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_107105]) ).
tcf(c_121079,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( sk_c11 != iPr_def_25 )
| ( inverse(sk_c3) != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105656]) ).
tcf(c_121080,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( sk_c11 != iPr_def_20 )
| ( inverse(sk_c3) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_105652]) ).
tcf(c_121359,plain,
( ( inverse(identity) = multiply(identity,multiply(identity,sk_c11)) )
| ( inverse(identity) != identity )
| ( multiply(identity,multiply(identity,sk_c11)) != identity ) ),
inference(instantiation,[status(thm)],[c_106626]) ).
tcf(c_121796,plain,
! [X0: $i] :
( ( iPr_def_20 = multiply(identity,iPr_def_22) )
| ( iPr_def_20 != X0 )
| ( multiply(identity,iPr_def_22) != X0 ) ),
inference(instantiation,[status(thm)],[c_105786]) ).
tcf(c_121798,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_22 != multiply(identity,iPr_def_22) )
| ( iPr_def_20 != multiply(identity,iPr_def_22) ) ),
inference(instantiation,[status(thm)],[c_108780]) ).
tcf(c_121799,plain,
( ( iPr_def_20 = multiply(identity,iPr_def_22) )
| ( iPr_def_20 != sk_c10 )
| ( multiply(identity,iPr_def_22) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_121796]) ).
tcf(c_121936,plain,
! [X0: $i] :
( ( X0 = sk_c3 )
| ( sk_c3 != iPr_def_20 )
| ( X0 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_106649]) ).
tcf(c_121937,plain,
( ( sk_c10 = sk_c3 )
| ( sk_c3 != iPr_def_20 )
| ( sk_c10 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_121936]) ).
tcf(c_122147,plain,
( ( sk_c3 = iPr_def_22 )
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c3 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105795]) ).
tcf(c_122148,plain,
! [X0: $i] :
( ( sk_c3 = X0 )
| ( sk_c3 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_108147]) ).
tcf(c_122151,plain,
( ( sk_c3 = sk_c10 )
| ( sk_c3 != iPr_def_22 )
| ( sk_c10 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_122148]) ).
tcf(c_123551,plain,
! [X0: $i] :
( ( sk_c11 = multiply(inverse(X0),X0) )
| ( sk_c11 != identity )
| ( multiply(inverse(X0),X0) != identity ) ),
inference(instantiation,[status(thm)],[c_118914]) ).
tcf(c_123552,plain,
( ( sk_c11 = multiply(inverse(sk_c10),sk_c10) )
| ( sk_c11 != identity )
| ( multiply(inverse(sk_c10),sk_c10) != identity ) ),
inference(instantiation,[status(thm)],[c_123551]) ).
tcf(c_123559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X1) = X3 )
| ( X3 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_123560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sk_c11 = multiply(X0,X1) )
| ( sk_c11 != multiply(X2,X3) )
| ( multiply(X0,X1) != multiply(X2,X3) ) ),
inference(instantiation,[status(thm)],[c_118914]) ).
tcf(c_124090,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(inverse(X0),X0) )
| ( X1 != identity )
| ( multiply(inverse(X0),X0) != identity ) ),
inference(instantiation,[status(thm)],[c_119219]) ).
tcf(c_124091,plain,
( ( sk_c10 = multiply(inverse(sk_c10),sk_c10) )
| ( sk_c10 != identity )
| ( multiply(inverse(sk_c10),sk_c10) != identity ) ),
inference(instantiation,[status(thm)],[c_124090]) ).
tcf(c_124099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X4 = multiply(X0,X1) )
| ( X4 != multiply(X2,X3) )
| ( multiply(X0,X1) != multiply(X2,X3) ) ),
inference(instantiation,[status(thm)],[c_119219]) ).
tcf(c_124136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = multiply(X0,X1) )
| ( X2 != iPr_def_20 )
| ( multiply(X0,X1) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_119219]) ).
tcf(c_124140,plain,
( ( sk_c10 = multiply(sk_c10,sk_c10) )
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c10,sk_c10) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_124136]) ).
tcf(c_124144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = multiply(X0,X1) )
| ( X2 != iPr_def_22 )
| ( multiply(X0,X1) != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_119219]) ).
tcf(c_124148,plain,
( ( sk_c10 = multiply(sk_c10,sk_c10) )
| ( sk_c10 != iPr_def_22 )
| ( multiply(sk_c10,sk_c10) != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_124144]) ).
tcf(c_124165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = multiply(X0,X1) )
| ( X2 != iPr_def_27 )
| ( multiply(X0,X1) != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_119219]) ).
tcf(c_124167,plain,
( ( sk_c10 = multiply(sk_c10,sk_c10) )
| ( sk_c10 != iPr_def_27 )
| ( multiply(sk_c10,sk_c10) != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_124165]) ).
tcf(c_124541,plain,
( ( identity = sk_c11 )
| ( identity != identity )
| ( sk_c11 != identity ) ),
inference(instantiation,[status(thm)],[c_118355]) ).
tcf(c_124669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(sk_c3,inverse(X2)) = multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(sk_c3,inverse(X2)) != multiply(X0,X1) )
| ( multiply(identity,multiply(identity,sk_c11)) != multiply(X0,X1) ) ),
inference(instantiation,[status(thm)],[c_110055]) ).
tcf(c_124670,plain,
( ( multiply(sk_c3,inverse(sk_c10)) = multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(sk_c3,inverse(sk_c10)) != multiply(sk_c10,sk_c10) )
| ( multiply(identity,multiply(identity,sk_c11)) != multiply(sk_c10,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_124669]) ).
tcf(c_125799,plain,
! [X0: $i] :
( ( multiply(sk_c3,inverse(X0)) = inverse(sk_c3) )
| ( inverse(sk_c3) != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(sk_c3,inverse(X0)) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_118467]) ).
tcf(c_125804,plain,
( ( inverse(sk_c3) = multiply(identity,multiply(identity,sk_c11)) )
| ( inverse(sk_c3) != sk_c11 )
| ( multiply(identity,multiply(identity,sk_c11)) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_106558]) ).
tcf(c_125805,plain,
( ( multiply(sk_c3,inverse(sk_c10)) = inverse(sk_c3) )
| ( inverse(sk_c3) != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(sk_c3,inverse(sk_c10)) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_125799]) ).
tcf(c_127142,plain,
( ( multiply(identity,sk_c11) = multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(identity,sk_c11) != multiply(identity,sk_c11) )
| ( multiply(identity,multiply(identity,sk_c11)) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_105982]) ).
tcf(c_130117,plain,
( ( identity = iPr_def_28 )
| ( iPr_def_28 != identity )
| ( identity != identity ) ),
inference(instantiation,[status(thm)],[c_119833]) ).
tcf(c_130301,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_8335,c_9154,c_10103,c_94260,c_105855,c_105856,c_105868,c_105869]) ).
tcf(c_130307,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_130301,c_16658]) ).
tcf(c_130308,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_130301,c_105]) ).
tcf(c_130311,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_130301,c_23873]) ).
tcf(c_131215,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_20 )
| ( iPr_def_20 != multiply(identity,sk_c11) )
| ( multiply(X0,X1) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_106475]) ).
tcf(c_131216,plain,
( ( multiply(sk_c10,sk_c10) = iPr_def_20 )
| ( iPr_def_20 != multiply(identity,sk_c11) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_131215]) ).
tcf(c_131224,plain,
( ( sk_c3 = iPr_def_20 )
| ( iPr_def_20 != multiply(identity,sk_c11) )
| ( sk_c3 != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_106475]) ).
tcf(c_132176,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c1 )
| ( sk_c1 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_132177,plain,
( ( inverse(sk_c10) = sk_c1 )
| ( sk_c1 != sk_c10 )
| ( inverse(sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_132176]) ).
tcf(c_132501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,X1) = X2 )
| ( X2 != multiply(X0,X1) )
| ( multiply(X0,X1) != multiply(X0,X1) ) ),
inference(instantiation,[status(thm)],[c_123559]) ).
tcf(c_132506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( multiply(X0,X1) = X4 )
| ( X4 != multiply(X2,X3) )
| ( multiply(X0,X1) != multiply(X2,X3) ) ),
inference(instantiation,[status(thm)],[c_123559]) ).
tcf(c_132556,plain,
! [X0: $i] :
( ( multiply(identity,iPr_def_22) = X0 )
| ( X0 != sk_c11 )
| ( multiply(identity,iPr_def_22) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_123559]) ).
tcf(c_132557,plain,
( ( multiply(identity,iPr_def_22) = sk_c10 )
| ( sk_c10 != sk_c11 )
| ( multiply(identity,iPr_def_22) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_132556]) ).
tcf(c_133274,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_28 != sk_c11 )
| ( iPr_def_27 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_114245]) ).
tcf(c_133668,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = multiply(X0,X1) )
| ( sk_c11 != multiply(identity,iPr_def_20) )
| ( multiply(X0,X1) != multiply(identity,iPr_def_20) ) ),
inference(instantiation,[status(thm)],[c_123560]) ).
tcf(c_133669,plain,
( ( sk_c11 = multiply(sk_c10,sk_c10) )
| ( sk_c11 != multiply(identity,iPr_def_20) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,iPr_def_20) ) ),
inference(instantiation,[status(thm)],[c_133668]) ).
tcf(c_133701,plain,
( ( sk_c11 = iPr_def_27 )
| ( iPr_def_27 != iPr_def_25 )
| ( sk_c11 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105641]) ).
tcf(c_133773,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c11 )
| ( sk_c11 != iPr_def_25 )
| ( inverse(X0) != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_105656]) ).
tcf(c_133774,plain,
( ( inverse(sk_c10) = sk_c11 )
| ( sk_c11 != iPr_def_25 )
| ( inverse(sk_c10) != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_133773]) ).
tcf(c_133793,plain,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_28 != iPr_def_27 )
| ( sk_c11 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105723]) ).
tcf(c_133794,plain,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_29 != iPr_def_27 )
| ( sk_c11 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105723]) ).
tcf(c_133813,plain,
( ( sk_c11 = iPr_def_28 )
| ( iPr_def_28 != iPr_def_27 )
| ( sk_c11 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105724]) ).
tcf(c_133814,plain,
( ( sk_c11 = iPr_def_29 )
| ( iPr_def_29 != iPr_def_27 )
| ( sk_c11 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_105724]) ).
tcf(c_133897,plain,
( ( sk_c11 = iPr_def_28 )
| ( iPr_def_28 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_105736]) ).
tcf(c_133898,plain,
( ( sk_c11 = iPr_def_27 )
| ( iPr_def_27 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_105736]) ).
tcf(c_135870,plain,
iPr_def_20 = iPr_def_22,
inference(global_subsumption_just,[status(thm)],[c_99550,c_158,c_704,c_629,c_632,c_641,c_1040,c_2546,c_4190,c_4191,c_4192,c_4420,c_8676,c_36373,c_37872,c_49143,c_49845,c_50112,c_54806,c_55946,c_64122,c_74699,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_100907,c_105673,c_105695,c_105733,c_105734,c_105749,c_105926,c_105927,c_105961,c_106145,c_106493,c_106831,c_106830,c_107163,c_107164,c_114960,c_118915,c_121799,c_121798,c_132177,c_132557]) ).
tcf(c_135895,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_75230,c_135870]) ).
tcf(c_135896,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_75229,c_135870]) ).
tcf(c_135897,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_75183,c_135870]) ).
tcf(c_135898,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_75182,c_135870]) ).
tcf(c_135899,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_75126,c_135870]) ).
tcf(c_135900,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_75125,c_135870]) ).
tcf(c_135913,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_75015,c_135870]) ).
tcf(c_135914,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_75014,c_135870]) ).
tcf(c_135915,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_74043,c_135870]) ).
tcf(c_135916,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_74042,c_135870]) ).
tcf(c_135917,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_73853,c_135870]) ).
tcf(c_135918,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_73852,c_135870]) ).
tcf(c_135919,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_73757,c_135870]) ).
tcf(c_135920,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_73756,c_135870]) ).
tcf(c_135928,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_73599,c_135870]) ).
tcf(c_135929,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_73598,c_135870]) ).
tcf(c_135956,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34242,c_135870]) ).
tcf(c_135957,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34240,c_135870]) ).
tcf(c_135958,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34238,c_135870]) ).
tcf(c_135959,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34236,c_135870]) ).
tcf(c_135960,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34227,c_135870]) ).
tcf(c_135961,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34226,c_135870]) ).
tcf(c_135962,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34225,c_135870]) ).
tcf(c_135963,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34224,c_135870]) ).
tcf(c_135969,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34223,c_135870]) ).
tcf(c_135970,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34222,c_135870]) ).
tcf(c_135971,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34221,c_135870]) ).
tcf(c_135972,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34220,c_135870]) ).
tcf(c_135973,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34219,c_135870]) ).
tcf(c_135974,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_34218,c_135870]) ).
tcf(c_136012,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(demodulation,[status(thm)],[c_44108,c_135870]) ).
tcf(c_136027,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_30652,c_135870]) ).
tcf(c_136029,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_31686,c_135870]) ).
tcf(c_136032,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_31683,c_135870]) ).
tcf(c_136033,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_31680,c_135870]) ).
tcf(c_136034,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_31677,c_135870]) ).
tcf(c_136039,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_31671,c_135870]) ).
tcf(c_136040,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(demodulation,[status(thm)],[c_30843,c_135870]) ).
tcf(c_136041,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(demodulation,[status(thm)],[c_30824,c_135870]) ).
tcf(c_136045,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(demodulation,[status(thm)],[c_30805,c_135870]) ).
tcf(c_136046,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_30654,c_135870]) ).
tcf(c_136048,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_30051,c_135870]) ).
tcf(c_136055,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(demodulation,[status(thm)],[c_28398,c_135870]) ).
tcf(c_136056,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(demodulation,[status(thm)],[c_28397,c_135870]) ).
tcf(c_136057,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(demodulation,[status(thm)],[c_28396,c_135870]) ).
tcf(c_136058,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(demodulation,[status(thm)],[c_28395,c_135870]) ).
tcf(c_136060,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_21304,c_135870]) ).
tcf(c_136061,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_21273,c_135870]) ).
tcf(c_136063,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_31598,c_135870]) ).
tcf(c_136064,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_31378,c_135870]) ).
tcf(c_136065,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_21051,c_135870]) ).
tcf(c_136066,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_20777,c_135870]) ).
tcf(c_136067,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_20775,c_135870]) ).
tcf(c_136068,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_20360,c_135870]) ).
tcf(c_136070,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_21302,c_135870]) ).
tcf(c_136071,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_21271,c_135870]) ).
tcf(c_136072,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_21049,c_135870]) ).
tcf(c_136073,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_20358,c_135870]) ).
tcf(c_136074,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_20357,c_135870]) ).
tcf(c_136075,plain,
( ( identity = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_30627,c_135870]) ).
tcf(c_136076,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_20355,c_135870]) ).
tcf(c_136077,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_20129,c_135870]) ).
tcf(c_136078,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_20125,c_135870]) ).
tcf(c_136079,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_19788,c_135870]) ).
tcf(c_136080,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_19784,c_135870]) ).
tcf(c_136086,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_21301,c_135870]) ).
tcf(c_136087,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_21298,c_135870]) ).
tcf(c_136088,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_21268,c_135870]) ).
tcf(c_136089,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_21265,c_135870]) ).
tcf(c_136090,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0),
inference(demodulation,[status(thm)],[c_7554,c_135870]) ).
tcf(c_136091,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_21047,c_135870]) ).
tcf(c_136092,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_21044,c_135870]) ).
tcf(c_136093,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_20721,c_135870]) ).
tcf(c_136094,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_20720,c_135870]) ).
tcf(c_136095,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_20073,c_135870]) ).
tcf(c_136097,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_19643,c_135870]) ).
tcf(c_136098,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_19642,c_135870]) ).
tcf(c_136099,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_19641,c_135870]) ).
tcf(c_136100,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_19640,c_135870]) ).
tcf(c_136117,plain,
multiply(sk_c5,iPr_def_20) = multiply(iPr_def_20,sk_c10),
inference(demodulation,[status(thm)],[c_12804,c_135870]) ).
tcf(c_136118,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0),
inference(demodulation,[status(thm)],[c_2897,c_135870]) ).
tcf(c_136126,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1797,c_135870]) ).
tcf(c_136129,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1388,c_135870]) ).
tcf(c_136134,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1214,c_135870]) ).
tcf(c_136135,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1212,c_135870]) ).
tcf(c_136139,plain,
multiply(iPr_def_21,iPr_def_20) = sk_c8,
inference(demodulation,[status(thm)],[c_7390,c_135870]) ).
tcf(c_136149,plain,
multiply(sk_c5,sk_c8) = iPr_def_20,
inference(demodulation,[status(thm)],[c_634,c_135870]) ).
tcf(c_136352,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_14668,c_136139]) ).
tcf(c_136353,plain,
multiply(inverse(iPr_def_21),sk_c8) = iPr_def_20,
inference(superposition,[status(thm)],[c_136139,c_16658]) ).
tcf(c_136355,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,sk_c8) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_136139,c_8158]) ).
tcf(c_136356,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,sk_c8) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_136139,c_8134]) ).
tcf(c_136361,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_136356,c_22402]) ).
tcf(c_136364,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_136355,c_22402]) ).
tcf(c_136368,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_93740,c_136149]) ).
tcf(c_136369,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86521,c_136149]) ).
tcf(c_136378,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_682,c_136149]) ).
tcf(c_136380,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_672,c_136149]) ).
tcf(c_136382,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_662,c_136149]) ).
tcf(c_136384,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_652,c_136149]) ).
tcf(c_136386,plain,
multiply(inverse(sk_c5),iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_136149,c_16658]) ).
tcf(c_136416,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_8336,c_8336,c_10104,c_94259,c_105842,c_105843,c_105868,c_105869]) ).
tcf(c_136422,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_136416,c_16658]) ).
tcf(c_136423,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_136416,c_105]) ).
tcf(c_136426,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_136416,c_23873]) ).
tcf(c_136467,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136075,c_18690]) ).
tcf(c_136468,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136075,c_18689]) ).
tcf(c_136469,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136075,c_18688]) ).
tcf(c_136470,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136075,c_18104]) ).
tcf(c_136471,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136075,c_18103]) ).
tcf(c_136472,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136075,c_18102]) ).
tcf(c_136474,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_136075,c_17582]) ).
tcf(c_136539,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_136097,c_87221]) ).
tcf(c_136542,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_136097,c_68727]) ).
tcf(c_136543,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_68579]) ).
tcf(c_136545,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_136097,c_67688]) ).
tcf(c_136546,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_67412]) ).
tcf(c_136547,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_54461]) ).
tcf(c_136548,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_53942]) ).
tcf(c_136549,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_46753]) ).
tcf(c_136551,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_44762]) ).
tcf(c_136554,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136097,c_3771]) ).
tcf(c_136555,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136097,c_36104]) ).
tcf(c_136556,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136097,c_35440]) ).
tcf(c_136562,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_18905]) ).
tcf(c_136563,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_25664]) ).
tcf(c_136564,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_18306]) ).
tcf(c_136565,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_25578]) ).
tcf(c_136566,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_25067]) ).
tcf(c_136567,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136097,c_14691]) ).
tcf(c_136568,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136097,c_14688]) ).
tcf(c_136569,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136097,c_14685]) ).
tcf(c_136570,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_14682]) ).
tcf(c_136571,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_14676]) ).
tcf(c_136572,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136097,c_14053]) ).
tcf(c_136573,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136097,c_14048]) ).
tcf(c_136574,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_14045]) ).
tcf(c_136575,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_14039]) ).
tcf(c_136576,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136097,c_21947]) ).
tcf(c_136584,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_3310]) ).
tcf(c_136585,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_3252]) ).
tcf(c_136586,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_3028]) ).
tcf(c_136594,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_136097,c_2895]) ).
tcf(c_136595,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_136097,c_2894]) ).
tcf(c_136596,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_2862]) ).
tcf(c_136601,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_2167]) ).
tcf(c_136602,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_2162]) ).
tcf(c_136604,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_1883]) ).
tcf(c_136605,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_1877]) ).
tcf(c_136607,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_1644]) ).
tcf(c_136610,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_1446]) ).
tcf(c_136612,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136097,c_646]) ).
tcf(c_136764,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_136098,c_93832]) ).
tcf(c_136765,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136098,c_93826]) ).
tcf(c_136767,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136098,c_93682]) ).
tcf(c_136768,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_136098,c_86613]) ).
tcf(c_136769,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136098,c_86607]) ).
tcf(c_136770,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136098,c_85108]) ).
tcf(c_136771,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136098,c_84315]) ).
tcf(c_136772,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136098,c_81458]) ).
tcf(c_136773,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136098,c_63895]) ).
tcf(c_136774,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136098,c_63832]) ).
tcf(c_136775,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136098,c_62698]) ).
tcf(c_136776,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136098,c_62631]) ).
tcf(c_136779,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136098,c_50824]) ).
tcf(c_136780,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136098,c_50783]) ).
tcf(c_136782,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136098,c_46612]) ).
tcf(c_136784,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136098,c_46544]) ).
tcf(c_136787,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136098,c_44042]) ).
tcf(c_136788,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136098,c_43896]) ).
tcf(c_136789,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136098,c_38566]) ).
tcf(c_136790,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136098,c_38327]) ).
tcf(c_136791,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136098,c_35087]) ).
tcf(c_136792,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_136098,c_7950]) ).
tcf(c_136794,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136098,c_35014]) ).
tcf(c_136795,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136098,c_34531]) ).
tcf(c_136797,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136098,c_34393]) ).
tcf(c_136799,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136098,c_3968]) ).
tcf(c_136800,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136098,c_3562]) ).
tcf(c_136801,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136098,c_2792]) ).
tcf(c_136802,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136098,c_3768]) ).
tcf(c_136803,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136098,c_35960]) ).
tcf(c_136813,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136098,c_16676]) ).
tcf(c_136814,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_5762]) ).
tcf(c_136817,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_5273]) ).
tcf(c_136819,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_4477]) ).
tcf(c_136821,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_4227]) ).
tcf(c_136825,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_136098,c_2901]) ).
tcf(c_136827,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_136098,c_2900]) ).
tcf(c_136828,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_136098,c_2898]) ).
tcf(c_136829,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_136098,c_2896]) ).
tcf(c_136830,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_136098,c_2894]) ).
tcf(c_136831,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_2241]) ).
tcf(c_136832,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_2173]) ).
tcf(c_136833,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_2077]) ).
tcf(c_136835,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_1885]) ).
tcf(c_136838,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_1720]) ).
tcf(c_136840,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_1650]) ).
tcf(c_136841,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_1586]) ).
tcf(c_136843,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_1448]) ).
tcf(c_136845,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_1343]) ).
tcf(c_136846,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_1305]) ).
tcf(c_136847,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_1272]) ).
tcf(c_136852,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_1135]) ).
tcf(c_136855,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136098,c_2234]) ).
tcf(c_136856,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136098,c_2229]) ).
tcf(c_136857,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136098,c_2072]) ).
tcf(c_136858,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136098,c_2067]) ).
tcf(c_136859,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136098,c_1713]) ).
tcf(c_136860,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136098,c_1581]) ).
tcf(c_136861,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_136098,c_647]) ).
tcf(c_136862,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136098,c_645]) ).
tcf(c_136863,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136098,c_644]) ).
tcf(c_136865,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136098,c_639]) ).
tcf(c_136872,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_136813,c_14259,c_29043]) ).
tcf(c_136899,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_136852,c_7301]) ).
tcf(c_136903,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_136847,c_7301]) ).
tcf(c_136907,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_136846,c_7301]) ).
tcf(c_136911,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_136845,c_7301]) ).
tcf(c_137030,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != sk_c2 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_136802,c_29043]) ).
tcf(c_137035,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_136801,c_629,c_29043]) ).
tcf(c_137040,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_136800,c_629,c_29043]) ).
tcf(c_137044,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_136799,c_629,c_29043]) ).
tcf(c_137048,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_136792,c_7304]) ).
tcf(c_137116,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_136099,c_87221]) ).
tcf(c_137119,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_136099,c_68727]) ).
tcf(c_137120,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_68579]) ).
tcf(c_137122,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_136099,c_67688]) ).
tcf(c_137123,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_67412]) ).
tcf(c_137124,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_54461]) ).
tcf(c_137125,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_53942]) ).
tcf(c_137126,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_46753]) ).
tcf(c_137128,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_44762]) ).
tcf(c_137131,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_28)) != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136099,c_3771]) ).
tcf(c_137132,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136099,c_36104]) ).
tcf(c_137133,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136099,c_35440]) ).
tcf(c_137139,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_18905]) ).
tcf(c_137140,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_25664]) ).
tcf(c_137141,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_18306]) ).
tcf(c_137142,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_25578]) ).
tcf(c_137143,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_25067]) ).
tcf(c_137144,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136099,c_14691]) ).
tcf(c_137145,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136099,c_14688]) ).
tcf(c_137146,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136099,c_14685]) ).
tcf(c_137147,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_14682]) ).
tcf(c_137148,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_14676]) ).
tcf(c_137149,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136099,c_14053]) ).
tcf(c_137150,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136099,c_14048]) ).
tcf(c_137151,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_14045]) ).
tcf(c_137152,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_14039]) ).
tcf(c_137153,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136099,c_21947]) ).
tcf(c_137161,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_3310]) ).
tcf(c_137162,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_3252]) ).
tcf(c_137168,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_136099,c_2895]) ).
tcf(c_137169,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_136099,c_2894]) ).
tcf(c_137178,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_2167]) ).
tcf(c_137179,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_2162]) ).
tcf(c_137181,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_1883]) ).
tcf(c_137182,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_1877]) ).
tcf(c_137184,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_1644]) ).
tcf(c_137186,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_1446]) ).
tcf(c_137187,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136099,c_646]) ).
tcf(c_137351,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136063,c_102763]) ).
tcf(c_137352,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136063,c_102753]) ).
tcf(c_137353,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136063,c_99935]) ).
tcf(c_137354,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136063,c_99925]) ).
tcf(c_137356,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136063,c_82063]) ).
tcf(c_137359,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136063,c_78682]) ).
tcf(c_137362,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136063,c_77657]) ).
tcf(c_137365,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136063,c_28697]) ).
tcf(c_137366,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136063,c_28696]) ).
tcf(c_137367,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_136063,c_28695]) ).
tcf(c_137368,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136063,c_28694]) ).
tcf(c_137376,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_136063,c_17582]) ).
tcf(c_137446,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_136064,c_93832]) ).
tcf(c_137447,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_93826]) ).
tcf(c_137449,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136064,c_93682]) ).
tcf(c_137450,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_136064,c_86613]) ).
tcf(c_137451,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_86607]) ).
tcf(c_137452,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136064,c_85108]) ).
tcf(c_137453,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_84315]) ).
tcf(c_137454,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_81458]) ).
tcf(c_137455,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136064,c_63895]) ).
tcf(c_137456,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136064,c_63832]) ).
tcf(c_137457,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136064,c_62698]) ).
tcf(c_137458,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136064,c_62631]) ).
tcf(c_137461,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136064,c_50824]) ).
tcf(c_137462,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136064,c_50783]) ).
tcf(c_137463,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_59515]) ).
tcf(c_137464,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136064,c_46612]) ).
tcf(c_137465,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_55675]) ).
tcf(c_137466,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136064,c_46544]) ).
tcf(c_137469,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136064,c_44042]) ).
tcf(c_137470,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136064,c_43896]) ).
tcf(c_137471,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136064,c_38566]) ).
tcf(c_137472,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136064,c_38327]) ).
tcf(c_137473,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136064,c_35087]) ).
tcf(c_137474,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_136064,c_7950]) ).
tcf(c_137475,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_46211]) ).
tcf(c_137476,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136064,c_35014]) ).
tcf(c_137477,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136064,c_34531]) ).
tcf(c_137478,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_44501]) ).
tcf(c_137479,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136064,c_34393]) ).
tcf(c_137483,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136064,c_2792]) ).
tcf(c_137484,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136064,c_3768]) ).
tcf(c_137485,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136064,c_35960]) ).
tcf(c_137493,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_18691]) ).
tcf(c_137494,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_18105]) ).
tcf(c_137497,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136064,c_16676]) ).
tcf(c_137498,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_5762]) ).
tcf(c_137501,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_5273]) ).
tcf(c_137508,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_136064,c_2901]) ).
tcf(c_137509,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_136064,c_2900]) ).
tcf(c_137510,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_136064,c_2898]) ).
tcf(c_137511,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_136064,c_2896]) ).
tcf(c_137512,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_136064,c_2894]) ).
tcf(c_137513,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_2241]) ).
tcf(c_137514,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_2173]) ).
tcf(c_137515,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_2077]) ).
tcf(c_137517,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_1885]) ).
tcf(c_137520,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_1720]) ).
tcf(c_137522,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_1650]) ).
tcf(c_137523,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_1586]) ).
tcf(c_137525,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_1448]) ).
tcf(c_137527,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_1343]) ).
tcf(c_137528,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_1305]) ).
tcf(c_137529,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_1272]) ).
tcf(c_137534,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136064,c_1135]) ).
tcf(c_137537,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_2234]) ).
tcf(c_137538,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_2229]) ).
tcf(c_137539,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_2072]) ).
tcf(c_137540,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_2067]) ).
tcf(c_137541,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_1713]) ).
tcf(c_137542,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_1581]) ).
tcf(c_137543,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_136064,c_647]) ).
tcf(c_137544,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136064,c_645]) ).
tcf(c_137549,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136064,c_644]) ).
tcf(c_137550,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136064,c_640]) ).
tcf(c_137551,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136064,c_639]) ).
tcf(c_137552,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136064,c_636]) ).
tcf(c_137553,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136064,c_632]) ).
tcf(c_137643,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_137511,c_12263]) ).
tcf(c_137646,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_137510,c_12873]) ).
tcf(c_137649,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_137509,c_13518]) ).
tcf(c_137652,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_137508,c_14278]) ).
tcf(c_137780,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136086,c_11818]) ).
tcf(c_137785,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136086,c_8072]) ).
tcf(c_137793,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136086,c_46612]) ).
tcf(c_137798,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136086,c_35014]) ).
tcf(c_137799,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136086,c_45909]) ).
tcf(c_137802,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_136086,c_27711]) ).
tcf(c_137804,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_136086,c_27708]) ).
tcf(c_137807,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_136086,c_7323]) ).
tcf(c_137825,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136086,c_7320]) ).
tcf(c_137826,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_136086,c_2915]) ).
tcf(c_137827,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_136086,c_1261]) ).
tcf(c_137873,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136087,c_11818]) ).
tcf(c_137878,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136087,c_8072]) ).
tcf(c_137880,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136087,c_8065]) ).
tcf(c_137883,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136087,c_50824]) ).
tcf(c_137886,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136087,c_46612]) ).
tcf(c_137889,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136087,c_49891]) ).
tcf(c_137890,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136087,c_35087]) ).
tcf(c_137891,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136087,c_35014]) ).
tcf(c_137892,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136087,c_45909]) ).
tcf(c_137895,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_136087,c_27711]) ).
tcf(c_137897,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_136087,c_27708]) ).
tcf(c_137900,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_136087,c_7323]) ).
tcf(c_137918,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136087,c_7320]) ).
tcf(c_137919,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_136087,c_2915]) ).
tcf(c_137920,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_136087,c_1261]) ).
tcf(c_137977,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_8337,c_8337,c_8336,c_9156,c_10104,c_94259,c_94260,c_105842,c_105843,c_105855,c_105856,c_105868,c_105869,c_114439,c_133794]) ).
tcf(c_137983,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_137977,c_16658]) ).
tcf(c_137984,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_137977,c_105]) ).
tcf(c_137987,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_137977,c_23873]) ).
tcf(c_138040,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_136100,c_87221]) ).
tcf(c_138043,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_136100,c_68727]) ).
tcf(c_138044,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_68579]) ).
tcf(c_138046,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_136100,c_67688]) ).
tcf(c_138047,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_67412]) ).
tcf(c_138048,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_54461]) ).
tcf(c_138049,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_53942]) ).
tcf(c_138050,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_46753]) ).
tcf(c_138052,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_44762]) ).
tcf(c_138055,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_136100,c_3771]) ).
tcf(c_138056,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_136100,c_36104]) ).
tcf(c_138057,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_136100,c_35440]) ).
tcf(c_138063,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_18905]) ).
tcf(c_138064,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_25664]) ).
tcf(c_138065,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_18306]) ).
tcf(c_138066,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_25578]) ).
tcf(c_138067,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_25067]) ).
tcf(c_138068,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136100,c_14691]) ).
tcf(c_138069,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136100,c_14688]) ).
tcf(c_138070,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136100,c_14685]) ).
tcf(c_138071,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_14682]) ).
tcf(c_138073,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136100,c_14053]) ).
tcf(c_138074,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136100,c_14048]) ).
tcf(c_138075,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_14045]) ).
tcf(c_138077,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136100,c_21947]) ).
tcf(c_138085,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_3310]) ).
tcf(c_138086,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_3252]) ).
tcf(c_138091,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_136100,c_2895]) ).
tcf(c_138092,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_136100,c_2894]) ).
tcf(c_138102,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_2167]) ).
tcf(c_138103,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_2162]) ).
tcf(c_138104,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_1883]) ).
tcf(c_138105,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_1877]) ).
tcf(c_138106,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_1644]) ).
tcf(c_138109,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_1446]) ).
tcf(c_138111,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136100,c_646]) ).
tcf(c_138228,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_138055,c_641,c_28387]) ).
tcf(c_138239,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,sk_c10) ) ),
inference(superposition,[status(thm)],[c_30033,c_136117]) ).
tcf(c_138240,plain,
multiply(inverse(sk_c5),multiply(iPr_def_20,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_136117,c_16658]) ).
tcf(c_138241,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c10),X0) = multiply(sk_c5,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_136117,c_105]) ).
tcf(c_138242,plain,
multiply(iPr_def_21,multiply(iPr_def_20,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_136117,c_2918]) ).
tcf(c_138244,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c10),X0) = multiply(iPr_def_20,multiply(sk_c10,X0)),
inference(light_normalisation,[status(thm)],[c_138241,c_12891,c_135870]) ).
tcf(c_138297,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136088,c_44762]) ).
tcf(c_138298,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136088,c_44760]) ).
tcf(c_138301,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136088,c_44759]) ).
tcf(c_138302,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136088,c_44758]) ).
tcf(c_138303,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136088,c_44757]) ).
tcf(c_138315,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_136088,c_7323]) ).
tcf(c_138328,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136088,c_7320]) ).
tcf(c_138390,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136089,c_46753]) ).
tcf(c_138391,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136089,c_46751]) ).
tcf(c_138392,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136089,c_46750]) ).
tcf(c_138393,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136089,c_46749]) ).
tcf(c_138394,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136089,c_46748]) ).
tcf(c_138397,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136089,c_44762]) ).
tcf(c_138398,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136089,c_44760]) ).
tcf(c_138401,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136089,c_44759]) ).
tcf(c_138402,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136089,c_44758]) ).
tcf(c_138403,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136089,c_44757]) ).
tcf(c_138415,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_136089,c_7323]) ).
tcf(c_138428,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136089,c_7320]) ).
tcf(c_138526,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136091,c_8072]) ).
tcf(c_138534,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136091,c_46612]) ).
tcf(c_138539,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136091,c_35014]) ).
tcf(c_138540,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136091,c_45909]) ).
tcf(c_138543,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_136091,c_27711]) ).
tcf(c_138545,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_136091,c_27708]) ).
tcf(c_138548,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_136091,c_7323]) ).
tcf(c_138566,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136091,c_7320]) ).
tcf(c_138567,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_136091,c_2915]) ).
tcf(c_138568,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_136091,c_1261]) ).
tcf(c_138622,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136092,c_8072]) ).
tcf(c_138624,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136092,c_8065]) ).
tcf(c_138627,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136092,c_50824]) ).
tcf(c_138630,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136092,c_46612]) ).
tcf(c_138633,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136092,c_49891]) ).
tcf(c_138634,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136092,c_35087]) ).
tcf(c_138635,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136092,c_35014]) ).
tcf(c_138636,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136092,c_45909]) ).
tcf(c_138639,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_136092,c_27711]) ).
tcf(c_138641,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_136092,c_27708]) ).
tcf(c_138644,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_136092,c_7323]) ).
tcf(c_138662,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_136092,c_7320]) ).
tcf(c_138663,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_136092,c_2915]) ).
tcf(c_138664,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_136092,c_1261]) ).
tcf(c_138756,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_8338,c_8338,c_9157,c_105842,c_105843,c_105855,c_105856,c_133274]) ).
tcf(c_138762,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_138756,c_16658]) ).
tcf(c_138763,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_138756,c_105]) ).
tcf(c_138766,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_138756,c_23873]) ).
tcf(c_138793,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_57942,c_136012]) ).
tcf(c_138794,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_57810,c_136012]) ).
tcf(c_138795,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_56477,c_136012]) ).
tcf(c_138796,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56253,c_136012]) ).
tcf(c_138797,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_48540,c_136012]) ).
tcf(c_138798,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_45403,c_136012]) ).
tcf(c_138799,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136012,c_16658]) ).
tcf(c_138800,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_136012,c_105]) ).
tcf(c_138801,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_136012,c_7950]) ).
tcf(c_138808,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_136012,c_7304]) ).
tcf(c_138813,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_138800,c_103]) ).
tcf(c_138887,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54454,c_136029]) ).
tcf(c_138889,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_53934,c_136029]) ).
tcf(c_138891,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_46742,c_136029]) ).
tcf(c_138892,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_44750,c_136029]) ).
tcf(c_138900,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136100,c_136029]) ).
tcf(c_138901,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136099,c_136029]) ).
tcf(c_138902,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136097,c_136029]) ).
tcf(c_138903,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_83236,c_136029]) ).
tcf(c_138904,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_80289,c_136029]) ).
tcf(c_138905,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_78542,c_136029]) ).
tcf(c_138937,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_687,c_136029]) ).
tcf(c_138938,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_686,c_136029]) ).
tcf(c_138939,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_684,c_136029]) ).
tcf(c_138940,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_681,c_136029]) ).
tcf(c_138941,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_677,c_136029]) ).
tcf(c_138942,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_676,c_136029]) ).
tcf(c_138943,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_674,c_136029]) ).
tcf(c_138944,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_136029]) ).
tcf(c_138945,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_667,c_136029]) ).
tcf(c_138946,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_666,c_136029]) ).
tcf(c_138947,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_136029]) ).
tcf(c_138948,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_661,c_136029]) ).
tcf(c_138951,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136029,c_16658]) ).
tcf(c_138953,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_28 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136029,c_646]) ).
tcf(c_138955,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_136029,c_7323]) ).
tcf(c_139041,plain,
iPr_def_16 = iPr_def_19,
inference(global_subsumption_just,[status(thm)],[c_42951,c_158,c_704,c_709,c_629,c_642,c_1020,c_1120,c_1420,c_1562,c_1844,c_2359,c_2405,c_4190,c_4191,c_4192,c_8676,c_28701,c_37483,c_49143,c_49845,c_52115,c_54806,c_57810,c_61513,c_84315,c_84338,c_90442,c_95331,c_101794,c_105733,c_106145,c_107163,c_107164,c_108446,c_111917,c_113324,c_118622,c_118915,c_119220]) ).
tcf(c_139563,plain,
( ~ iPr_def_13
| ( sk_c10 != sk_c11 ) ),
inference(global_subsumption_just,[status(thm)],[c_40709,c_2802,c_2791,c_17605,c_19220,c_19223,c_96082,c_105625,c_105706,c_105707,c_105780,c_109505,c_112376,c_118360,c_121359,c_136100,c_136099]) ).
tcf(c_139598,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_653,c_139563]) ).
tcf(c_139735,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_136093,c_99935]) ).
tcf(c_139743,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_136093,c_77663]) ).
tcf(c_139747,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_136093,c_28697]) ).
tcf(c_139749,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_136093,c_28695]) ).
tcf(c_139750,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136093,c_28694]) ).
tcf(c_139758,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_136093,c_17582]) ).
tcf(c_139810,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_136094,c_99935]) ).
tcf(c_139818,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_136094,c_77663]) ).
tcf(c_139822,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_136094,c_28697]) ).
tcf(c_139824,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_136094,c_28695]) ).
tcf(c_139825,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136094,c_28694]) ).
tcf(c_139833,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_136094,c_17582]) ).
tcf(c_139885,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_136095,c_99935]) ).
tcf(c_139893,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_136095,c_77663]) ).
tcf(c_139897,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_136095,c_28697]) ).
tcf(c_139899,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_136095,c_28695]) ).
tcf(c_139900,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136095,c_28694]) ).
tcf(c_139908,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_136095,c_17582]) ).
tcf(c_139928,plain,
( ( sk_c10 != iPr_def_22 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_139598,c_10711,c_90454,c_105655,c_139563]) ).
tcf(c_139929,plain,
( ~ iPr_def_13
| ( sk_c10 != iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_139928]) ).
tcf(c_139934,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_40182,c_139929]) ).
tcf(c_139998,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_78658,c_158,c_704,c_629,c_641,c_2546,c_4190,c_4191,c_4192,c_4420,c_8676,c_8755,c_9996,c_14575,c_37495,c_37822,c_49143,c_49845,c_51335,c_54806,c_56253,c_60011,c_68776,c_81458,c_81490,c_83236,c_85057,c_85058,c_92301,c_101795,c_105733,c_106145,c_107163,c_107164,c_118915,c_132177]) ).
tcf(c_140031,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_139998,c_93832]) ).
tcf(c_140032,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_139998,c_93826]) ).
tcf(c_140034,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_139998,c_93682]) ).
tcf(c_140035,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_139998,c_86613]) ).
tcf(c_140036,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_139998,c_86607]) ).
tcf(c_140037,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_139998,c_85108]) ).
tcf(c_140038,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_139998,c_84315]) ).
tcf(c_140039,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_139998,c_81458]) ).
tcf(c_140040,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_139998,c_63895]) ).
tcf(c_140041,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_139998,c_63832]) ).
tcf(c_140042,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_139998,c_62698]) ).
tcf(c_140043,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_139998,c_62631]) ).
tcf(c_140045,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_139998,c_66877]) ).
tcf(c_140048,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_139998,c_59515]) ).
tcf(c_140050,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_139998,c_55675]) ).
tcf(c_140053,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_139998,c_51335]) ).
tcf(c_140054,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_139998,c_44042]) ).
tcf(c_140055,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_139998,c_43896]) ).
tcf(c_140056,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_139998,c_38566]) ).
tcf(c_140057,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_139998,c_38327]) ).
tcf(c_140059,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_139998,c_7950]) ).
tcf(c_140060,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_139998,c_46211]) ).
tcf(c_140063,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_139998,c_44501]) ).
tcf(c_140069,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_139998,c_3768]) ).
tcf(c_140070,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( identity != iPr_def_26 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_139998,c_35960]) ).
tcf(c_140082,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_139998,c_16676]) ).
tcf(c_140083,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_5762]) ).
tcf(c_140086,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_5273]) ).
tcf(c_140088,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_4477]) ).
tcf(c_140090,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_4227]) ).
tcf(c_140091,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_3507]) ).
tcf(c_140092,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_3396]) ).
tcf(c_140093,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_139998,c_14575]) ).
tcf(c_140094,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_139998,c_2901]) ).
tcf(c_140095,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_139998,c_11846]) ).
tcf(c_140096,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_139998,c_2900]) ).
tcf(c_140097,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_139998,c_2898]) ).
tcf(c_140098,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_139998,c_2896]) ).
tcf(c_140099,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_139998,c_2894]) ).
tcf(c_140101,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_2173]) ).
tcf(c_140102,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_2077]) ).
tcf(c_140104,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_1885]) ).
tcf(c_140108,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_1650]) ).
tcf(c_140109,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_1586]) ).
tcf(c_140111,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_1448]) ).
tcf(c_140114,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_1305]) ).
tcf(c_140115,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_1272]) ).
tcf(c_140120,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_1135]) ).
tcf(c_140126,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_139998,c_647]) ).
tcf(c_140127,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_139998,c_645]) ).
tcf(c_140130,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_139998,c_1032]) ).
tcf(c_140132,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_139998,c_644]) ).
tcf(c_140133,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_139998,c_640]) ).
tcf(c_140134,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_139998,c_639]) ).
tcf(c_140135,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_139998,c_636]) ).
tcf(c_140136,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_139998,c_632]) ).
tcf(c_140137,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_139998,c_627]) ).
tcf(c_141027,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_78659,c_158,c_704,c_629,c_641,c_2546,c_2657,c_4190,c_4191,c_4192,c_4420,c_8676,c_8807,c_9780,c_14575,c_37495,c_49143,c_49845,c_51335,c_54806,c_56253,c_60011,c_68776,c_81458,c_81490,c_83236,c_85057,c_85058,c_92301,c_95839,c_101796,c_102355,c_105733,c_106145,c_107163,c_107164,c_118915,c_132177]) ).
tcf(c_141079,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_141027,c_136029]) ).
tcf(c_141083,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_141027,c_87221]) ).
tcf(c_141084,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_141027,c_83236]) ).
tcf(c_141085,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_141027,c_80289]) ).
tcf(c_141086,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_141027,c_68727]) ).
tcf(c_141087,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_68579]) ).
tcf(c_141088,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_141027,c_78542]) ).
tcf(c_141089,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_141027,c_67688]) ).
tcf(c_141090,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_67412]) ).
tcf(c_141091,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_54461]) ).
tcf(c_141092,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_53942]) ).
tcf(c_141099,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_141027,c_36104]) ).
tcf(c_141106,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_18905]) ).
tcf(c_141111,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_141027,c_14691]) ).
tcf(c_141112,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_141027,c_14688]) ).
tcf(c_141113,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_141027,c_14685]) ).
tcf(c_141114,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_141027,c_14682]) ).
tcf(c_141115,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_14676]) ).
tcf(c_141116,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_141027,c_14053]) ).
tcf(c_141117,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_141027,c_14048]) ).
tcf(c_141118,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_141027,c_14045]) ).
tcf(c_141119,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_14039]) ).
tcf(c_141120,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_141027,c_21947]) ).
tcf(c_141130,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_3028]) ).
tcf(c_141138,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_141027,c_2895]) ).
tcf(c_141139,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_141027,c_2894]) ).
tcf(c_141140,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_2862]) ).
tcf(c_141148,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_141027,c_1947]) ).
tcf(c_141153,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_141027,c_1495]) ).
tcf(c_141156,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_141027,c_646]) ).
tcf(c_141157,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_141027,c_1155]) ).
tcf(c_141170,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_141027,c_638]) ).
tcf(c_141172,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_627]) ).
tcf(c_141215,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_141138,c_18082]) ).
tcf(c_141350,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_8339,c_8339,c_105842,c_105843,c_114440,c_133274,c_133793,c_136416,c_137977]) ).
tcf(c_141356,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_141350,c_16658]) ).
tcf(c_141357,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_141350,c_105]) ).
tcf(c_141360,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_141350,c_23873]) ).
tcf(c_141402,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_141027,c_136032]) ).
tcf(c_141403,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136100,c_136032]) ).
tcf(c_141404,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136099,c_136032]) ).
tcf(c_141405,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136097,c_136032]) ).
tcf(c_141406,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_83236,c_136032]) ).
tcf(c_141407,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_80289,c_136032]) ).
tcf(c_141408,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_78542,c_136032]) ).
tcf(c_141440,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_687,c_136032]) ).
tcf(c_141441,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_136032]) ).
tcf(c_141442,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_136032]) ).
tcf(c_141443,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_136032]) ).
tcf(c_141444,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_677,c_136032]) ).
tcf(c_141445,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_676,c_136032]) ).
tcf(c_141446,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_674,c_136032]) ).
tcf(c_141447,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_136032]) ).
tcf(c_141448,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_136032]) ).
tcf(c_141449,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_136032]) ).
tcf(c_141450,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_136032]) ).
tcf(c_141451,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_661,c_136032]) ).
tcf(c_141454,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136032,c_16658]) ).
tcf(c_141456,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136032,c_646]) ).
tcf(c_141457,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_136032,c_7950]) ).
tcf(c_141464,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_17,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_136032,c_7304]) ).
tcf(c_141576,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_141027,c_136033]) ).
tcf(c_141577,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136100,c_136033]) ).
tcf(c_141578,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136099,c_136033]) ).
tcf(c_141579,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_136097,c_136033]) ).
tcf(c_141580,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83236,c_136033]) ).
tcf(c_141614,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_687,c_136033]) ).
tcf(c_141615,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_686,c_136033]) ).
tcf(c_141616,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_684,c_136033]) ).
tcf(c_141617,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_681,c_136033]) ).
tcf(c_141618,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_677,c_136033]) ).
tcf(c_141619,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_676,c_136033]) ).
tcf(c_141620,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_674,c_136033]) ).
tcf(c_141621,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_671,c_136033]) ).
tcf(c_141622,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_667,c_136033]) ).
tcf(c_141623,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_666,c_136033]) ).
tcf(c_141624,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_664,c_136033]) ).
tcf(c_141625,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_661,c_136033]) ).
tcf(c_141628,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136033,c_16658]) ).
tcf(c_141630,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136033,c_646]) ).
tcf(c_141634,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_136033,c_7628]) ).
tcf(c_141719,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_141027,c_136034]) ).
tcf(c_141720,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136100,c_136034]) ).
tcf(c_141721,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136099,c_136034]) ).
tcf(c_141722,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136097,c_136034]) ).
tcf(c_141723,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_83236,c_136034]) ).
tcf(c_141757,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_136034]) ).
tcf(c_141758,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_686,c_136034]) ).
tcf(c_141759,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_684,c_136034]) ).
tcf(c_141760,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_136034]) ).
tcf(c_141761,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_677,c_136034]) ).
tcf(c_141762,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_676,c_136034]) ).
tcf(c_141763,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_674,c_136034]) ).
tcf(c_141764,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_136034]) ).
tcf(c_141765,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_136034]) ).
tcf(c_141766,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_666,c_136034]) ).
tcf(c_141767,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_136034]) ).
tcf(c_141768,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_661,c_136034]) ).
tcf(c_141771,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136034,c_16658]) ).
tcf(c_141773,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136034,c_646]) ).
tcf(c_141961,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_141027,c_136039]) ).
tcf(c_141962,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_136039]) ).
tcf(c_141963,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_136039]) ).
tcf(c_141964,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136097,c_136039]) ).
tcf(c_141965,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83236,c_136039]) ).
tcf(c_141966,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80289,c_136039]) ).
tcf(c_141967,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_78542,c_136039]) ).
tcf(c_142066,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_140039,c_102763]) ).
tcf(c_142068,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_140039,c_99935]) ).
tcf(c_142070,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_140039,c_83690]) ).
tcf(c_142087,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140039,c_17605]) ).
tcf(c_142088,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_140039,c_17582]) ).
tcf(c_142113,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140045,c_136032]) ).
tcf(c_142114,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_140045,c_136012]) ).
tcf(c_142119,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_140045,c_8689]) ).
tcf(c_142120,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_140045,c_8687]) ).
tcf(c_142121,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_140045,c_92552]) ).
tcf(c_142122,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_140045,c_84707]) ).
tcf(c_142123,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_140045,c_68579]) ).
tcf(c_142124,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_140045,c_68577]) ).
tcf(c_142125,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_140045,c_68574]) ).
tcf(c_142128,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_140045,c_8651]) ).
tcf(c_142129,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_140045,c_8649]) ).
tcf(c_142138,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_140045,c_38566]) ).
tcf(c_142139,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_140045,c_38471]) ).
tcf(c_142140,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_140045,c_38327]) ).
tcf(c_142141,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_140045,c_36927]) ).
tcf(c_142143,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_26,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_140045,c_7950]) ).
tcf(c_142150,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_140045,c_33816]) ).
tcf(c_142151,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_140045,c_38567]) ).
tcf(c_142152,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_140045,c_38328]) ).
tcf(c_142153,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140045,c_29581]) ).
tcf(c_142154,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_26) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_140045,c_7670]) ).
tcf(c_142156,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_26) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_140045,c_7663]) ).
tcf(c_142162,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140045,c_28789]) ).
tcf(c_142163,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_140045,c_28411]) ).
tcf(c_142164,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_140045,c_29583]) ).
tcf(c_142165,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_140045,c_28409]) ).
tcf(c_142171,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_140045,c_28791]) ).
tcf(c_142175,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_140045,c_28392]) ).
tcf(c_142177,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140045,c_21947]) ).
tcf(c_142178,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_26,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_140045,c_7304]) ).
tcf(c_142179,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_140045,c_3507]) ).
tcf(c_142180,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140045,c_3505]) ).
tcf(c_142181,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_140045,c_3396]) ).
tcf(c_142182,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140045,c_3394]) ).
tcf(c_142187,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_140045,c_1272]) ).
tcf(c_142188,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140045,c_1270]) ).
tcf(c_142189,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140045,c_1230]) ).
tcf(c_142190,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_140045,c_1135]) ).
tcf(c_142191,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_26) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_140045,c_7301]) ).
tcf(c_142374,plain,
! [X0: $i,X1: $i] :
( ( inverse(sk_c3) = X1 )
| ( X1 != X0 )
| ( inverse(sk_c3) != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_142437,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != multiply(inverse(X1),sk_c10) )
| ( X0 != multiply(inverse(X1),sk_c10) ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_142438,plain,
( ( sk_c11 = sk_c10 )
| ( sk_c11 != multiply(inverse(sk_c10),sk_c10) )
| ( sk_c10 != multiply(inverse(sk_c10),sk_c10) ) ),
inference(instantiation,[status(thm)],[c_142437]) ).
tcf(c_142667,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_140053,c_136089]) ).
tcf(c_142668,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_140053,c_136088]) ).
tcf(c_142669,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_140053,c_11823]) ).
tcf(c_142676,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_26) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_140053,c_8687]) ).
tcf(c_142678,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_140053,c_8665]) ).
tcf(c_142684,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_140053,c_68727]) ).
tcf(c_142685,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_140053,c_67688]) ).
tcf(c_142686,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_140053,c_8103]) ).
tcf(c_142687,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_26) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_140053,c_8649]) ).
tcf(c_142689,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_140053,c_8102]) ).
tcf(c_142692,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_140053,c_54458]) ).
tcf(c_142693,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_140053,c_54457]) ).
tcf(c_142694,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140053,c_54456]) ).
tcf(c_142699,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_140053,c_53937]) ).
tcf(c_142727,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(iPr_def_26,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_140053,c_7323]) ).
tcf(c_142728,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_140053,c_18808]) ).
tcf(c_142836,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_140093,c_87222]) ).
tcf(c_142849,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_140093,c_7633]) ).
tcf(c_142874,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_140093,c_7630]) ).
tcf(c_142882,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_78660,c_158,c_704,c_629,c_641,c_2546,c_4190,c_4191,c_4192,c_4420,c_8676,c_8771,c_9711,c_14575,c_37495,c_37842,c_49143,c_49845,c_51335,c_54806,c_56253,c_60011,c_68776,c_81458,c_81490,c_83236,c_85057,c_85058,c_92301,c_101798,c_105733,c_106145,c_107163,c_107164,c_118915,c_132177]) ).
tcf(c_142914,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_142882,c_139998]) ).
tcf(c_142917,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_142882,c_93832]) ).
tcf(c_142918,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_142882,c_93826]) ).
tcf(c_142920,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_142882,c_93682]) ).
tcf(c_142921,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_142882,c_86613]) ).
tcf(c_142922,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_142882,c_86607]) ).
tcf(c_142923,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_142882,c_85108]) ).
tcf(c_142924,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_142882,c_84315]) ).
tcf(c_142925,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_142882,c_81458]) ).
tcf(c_142926,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_142882,c_63895]) ).
tcf(c_142927,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_142882,c_63832]) ).
tcf(c_142928,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_142882,c_62698]) ).
tcf(c_142929,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_142882,c_62631]) ).
tcf(c_142931,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_142882,c_66877]) ).
tcf(c_142934,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_142882,c_59515]) ).
tcf(c_142939,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_142882,c_51335]) ).
tcf(c_142940,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_142882,c_44042]) ).
tcf(c_142941,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_142882,c_43896]) ).
tcf(c_142942,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_142882,c_38566]) ).
tcf(c_142943,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_142882,c_38327]) ).
tcf(c_142945,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_142882,c_7950]) ).
tcf(c_142946,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_142882,c_46211]) ).
tcf(c_142955,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_142882,c_3768]) ).
tcf(c_142956,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( identity != iPr_def_23 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_142882,c_35960]) ).
tcf(c_142968,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_142882,c_16676]) ).
tcf(c_142969,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_142882,c_5762]) ).
tcf(c_142972,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_142882,c_5273]) ).
tcf(c_142974,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_142882,c_4477]) ).
tcf(c_142976,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_142882,c_4227]) ).
tcf(c_142977,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_142882,c_3507]) ).
tcf(c_142978,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_142882,c_3396]) ).
tcf(c_142979,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_142882,c_14575]) ).
tcf(c_142980,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_142882,c_2901]) ).
tcf(c_142981,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_142882,c_11846]) ).
tcf(c_142982,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_142882,c_2900]) ).
tcf(c_142983,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_142882,c_2898]) ).
tcf(c_142984,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_142882,c_2896]) ).
tcf(c_142985,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_142882,c_2894]) ).
tcf(c_142990,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_142882,c_1885]) ).
tcf(c_142997,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_142882,c_1448]) ).
tcf(c_143006,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_142882,c_1135]) ).
tcf(c_143012,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_142882,c_647]) ).
tcf(c_143013,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_142882,c_645]) ).
tcf(c_143016,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_142882,c_1032]) ).
tcf(c_143018,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_142882,c_644]) ).
tcf(c_143019,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_142882,c_640]) ).
tcf(c_143020,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_142882,c_639]) ).
tcf(c_143021,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_142882,c_636]) ).
tcf(c_143022,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_142882,c_632]) ).
tcf(c_143024,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_142882,c_627]) ).
tcf(c_143041,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_143021,c_18663]) ).
tcf(c_143094,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_142984,c_18666]) ).
tcf(c_143137,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != sk_c4 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_142955,c_19276]) ).
tcf(c_143246,plain,
! [X0: $i] :
( ( inverse(inverse(sk_c3)) = inverse(X0) )
| ( inverse(sk_c3) != X0 ) ),
inference(instantiation,[status(thm)],[c_108445]) ).
tcf(c_143247,plain,
( ( inverse(inverse(sk_c3)) = inverse(sk_c10) )
| ( inverse(sk_c3) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_143246]) ).
tcf(c_143268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,inverse(X1)) = inverse(X0) )
| ( inverse(X0) != multiply(X2,X3) )
| ( multiply(X0,inverse(X1)) != multiply(X2,X3) ) ),
inference(instantiation,[status(thm)],[c_111916]) ).
tcf(c_143270,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = inverse(sk_c10) )
| ( inverse(sk_c10) != multiply(sk_c10,sk_c10) )
| ( multiply(sk_c10,inverse(sk_c10)) != multiply(sk_c10,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_143268]) ).
tcf(c_143271,plain,
! [X0: $i] :
( ( multiply(X0,inverse(X0)) = inverse(X0) )
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_111916]) ).
tcf(c_143272,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = inverse(sk_c10) )
| ( inverse(sk_c10) != sk_c11 )
| ( multiply(sk_c10,inverse(sk_c10)) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_143271]) ).
tcf(c_143292,plain,
! [X0: $i] :
( ( multiply(X0,inverse(X0)) = inverse(X0) )
| ( inverse(X0) != iPr_def_25 )
| ( multiply(X0,inverse(X0)) != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_111916]) ).
tcf(c_143293,plain,
( ( multiply(sk_c10,inverse(sk_c10)) = inverse(sk_c10) )
| ( inverse(sk_c10) != iPr_def_25 )
| ( multiply(sk_c10,inverse(sk_c10)) != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_143292]) ).
tcf(c_143327,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_78661,c_158,c_704,c_629,c_641,c_2546,c_2660,c_4190,c_4191,c_4192,c_4420,c_8676,c_8821,c_9587,c_14575,c_37495,c_49143,c_49845,c_51335,c_54806,c_56253,c_60011,c_68776,c_81458,c_81490,c_83236,c_85057,c_85058,c_92301,c_96076,c_101799,c_102487,c_105733,c_106145,c_107163,c_107164,c_118915,c_132177]) ).
tcf(c_143329,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_143327,c_135870]) ).
tcf(c_143385,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_143329,c_141027]) ).
tcf(c_143390,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_143329,c_87221]) ).
tcf(c_143391,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_143329,c_83236]) ).
tcf(c_143392,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_143329,c_80289]) ).
tcf(c_143393,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_143329,c_68727]) ).
tcf(c_143394,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143329,c_68579]) ).
tcf(c_143395,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_143329,c_78542]) ).
tcf(c_143396,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_143329,c_67688]) ).
tcf(c_143397,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143329,c_67412]) ).
tcf(c_143398,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143329,c_54461]) ).
tcf(c_143399,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143329,c_53942]) ).
tcf(c_143404,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_143329,c_36104]) ).
tcf(c_143416,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_143329,c_14691]) ).
tcf(c_143417,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143329,c_14688]) ).
tcf(c_143418,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_143329,c_14685]) ).
tcf(c_143419,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_143329,c_14682]) ).
tcf(c_143420,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143329,c_14676]) ).
tcf(c_143421,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_143329,c_14053]) ).
tcf(c_143422,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_143329,c_14048]) ).
tcf(c_143423,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_143329,c_14045]) ).
tcf(c_143424,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143329,c_14039]) ).
tcf(c_143425,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143329,c_21947]) ).
tcf(c_143435,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143329,c_3028]) ).
tcf(c_143443,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_143329,c_2895]) ).
tcf(c_143444,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_143329,c_2894]) ).
tcf(c_143445,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143329,c_2862]) ).
tcf(c_143455,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_143329,c_1947]) ).
tcf(c_143459,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_143329,c_1495]) ).
tcf(c_143461,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_143329,c_646]) ).
tcf(c_143462,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_143329,c_1155]) ).
tcf(c_143475,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_143329,c_638]) ).
tcf(c_143478,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143329,c_627]) ).
tcf(c_143572,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_8340,c_637,c_4408,c_4409,c_8783,c_9027,c_19220,c_19223,c_19643,c_28696,c_105625,c_105707,c_105780,c_105843,c_107034,c_108624,c_109505,c_112992,c_114308,c_115964,c_121079,c_125804,c_133701]) ).
tcf(c_143639,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143572,c_46753]) ).
tcf(c_143640,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143572,c_7973]) ).
tcf(c_143641,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143572,c_44762]) ).
tcf(c_143642,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143572,c_7969]) ).
tcf(c_143644,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143572,c_3771]) ).
tcf(c_143645,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143572,c_36104]) ).
tcf(c_143646,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143572,c_35440]) ).
tcf(c_143649,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_143572,c_13387]) ).
tcf(c_143651,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_143572,c_13385]) ).
tcf(c_143652,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143572,c_18905]) ).
tcf(c_143654,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143572,c_18306]) ).
tcf(c_143674,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143572,c_3310]) ).
tcf(c_143675,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143572,c_3252]) ).
tcf(c_143684,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_143572,c_2895]) ).
tcf(c_143685,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_143572,c_2894]) ).
tcf(c_143691,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_143572,c_2167]) ).
tcf(c_143692,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_143572,c_2162]) ).
tcf(c_143697,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_143572,c_1644]) ).
tcf(c_143702,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_143572,c_646]) ).
tcf(c_143711,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_143572,c_638]) ).
tcf(c_143713,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143572,c_627]) ).
tcf(c_143714,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_143572,c_651]) ).
tcf(c_143719,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_143674,c_7301]) ).
tcf(c_143743,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_143675,c_7301]) ).
tcf(c_143747,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_143654,c_7301]) ).
tcf(c_143751,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_143652,c_7301]) ).
tcf(c_143993,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_143041,c_140039]) ).
tcf(c_144003,plain,
( ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_143041,c_83690]) ).
tcf(c_144004,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_143041,c_82063]) ).
tcf(c_144006,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_143041,c_78688]) ).
tcf(c_144007,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_143041,c_78682]) ).
tcf(c_144010,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_143041,c_77657]) ).
tcf(c_144012,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_143041,c_28700]) ).
tcf(c_144020,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_143041,c_17605]) ).
tcf(c_144021,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_143041,c_17582]) ).
tcf(c_144048,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136040,c_16658]) ).
tcf(c_144049,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_136040,c_105]) ).
tcf(c_144050,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_136040,c_7548]) ).
tcf(c_144051,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_136040,c_31217]) ).
tcf(c_144057,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_144049,c_103]) ).
tcf(c_144100,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136041,c_16658]) ).
tcf(c_144101,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_136041,c_105]) ).
tcf(c_144102,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_136041,c_7548]) ).
tcf(c_144103,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_136041,c_31217]) ).
tcf(c_144109,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_144101,c_103]) ).
tcf(c_144121,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136045,c_16658]) ).
tcf(c_144122,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_136045,c_105]) ).
tcf(c_144123,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_136045,c_7548]) ).
tcf(c_144124,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_136045,c_31217]) ).
tcf(c_144130,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_144122,c_103]) ).
tcf(c_144137,plain,
iPr_def_18 = iPr_def_21,
inference(global_subsumption_just,[status(thm)],[c_140130,c_158,c_704,c_629,c_641,c_1032,c_1155,c_1495,c_1820,c_1947,c_2546,c_3575,c_3992,c_4190,c_4191,c_4192,c_4420,c_4463,c_8676,c_14575,c_22648,c_23146,c_36972,c_37495,c_49143,c_49845,c_51335,c_54806,c_60011,c_68776,c_81458,c_81490,c_83236,c_85057,c_85058,c_90443,c_92301,c_104328,c_105733,c_106145,c_107163,c_107164,c_118915,c_132177,c_142882,c_144007]) ).
tcf(c_144146,plain,
multiply(iPr_def_18,iPr_def_20) = sk_c8,
inference(demodulation,[status(thm)],[c_136139,c_144137]) ).
tcf(c_144234,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_18,X0)) = X0,
inference(demodulation,[status(thm)],[c_19618,c_144137]) ).
tcf(c_144235,plain,
inverse(iPr_def_18) = sk_c5,
inference(demodulation,[status(thm)],[c_20937,c_144137]) ).
tcf(c_144236,plain,
multiply(sk_c5,iPr_def_18) = identity,
inference(demodulation,[status(thm)],[c_19615,c_144137]) ).
tcf(c_144265,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c5,X0)) = X0,
inference(demodulation,[status(thm)],[c_2918,c_144137]) ).
tcf(c_144272,plain,
multiply(iPr_def_18,sk_c5) = identity,
inference(demodulation,[status(thm)],[c_1258,c_144137]) ).
tcf(c_144275,plain,
inverse(sk_c5) = iPr_def_18,
inference(demodulation,[status(thm)],[c_633,c_144137]) ).
tcf(c_144277,plain,
sk_c5 = sk_c6,
inference(light_normalisation,[status(thm)],[c_144235,c_24629]) ).
tcf(c_144278,plain,
multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,sk_c10),
inference(demodulation,[status(thm)],[c_136117,c_144277]) ).
tcf(c_144279,plain,
multiply(sk_c6,sk_c8) = iPr_def_20,
inference(demodulation,[status(thm)],[c_136149,c_144277]) ).
tcf(c_144283,plain,
multiply(inverse(iPr_def_18),sk_c8) = iPr_def_20,
inference(superposition,[status(thm)],[c_144146,c_16658]) ).
tcf(c_144284,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_144146,c_105]) ).
tcf(c_144290,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_143714,c_158,c_703,c_704,c_709,c_629,c_1088,c_2528,c_2529,c_4190,c_4191,c_4192,c_8676,c_9647,c_9648,c_19220,c_19223,c_28696,c_36371,c_37852,c_45689,c_49143,c_49144,c_49797,c_49845,c_54766,c_54806,c_55675,c_102753,c_105625,c_105694,c_105695,c_105713,c_105714,c_105728,c_105842,c_105843,c_106145,c_107163,c_107164,c_107594,c_108446,c_118449,c_118622,c_135870,c_143270,c_143572,c_143719,c_143645]) ).
tcf(c_144301,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_144290,c_136012]) ).
tcf(c_144302,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_144290,c_9322]) ).
tcf(c_144303,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_144290,c_9320]) ).
tcf(c_144304,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_144290,c_9272]) ).
tcf(c_144305,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_144290,c_9270]) ).
tcf(c_144306,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_144290,c_92552]) ).
tcf(c_144307,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144290,c_68579]) ).
tcf(c_144308,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144290,c_68577]) ).
tcf(c_144309,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144290,c_68574]) ).
tcf(c_144310,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_144290,c_8651]) ).
tcf(c_144311,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_144290,c_8649]) ).
tcf(c_144312,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_144290,c_8072]) ).
tcf(c_144313,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_144290,c_8065]) ).
tcf(c_144314,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144290,c_62206]) ).
tcf(c_144315,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144290,c_58243]) ).
tcf(c_144317,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144290,c_57810]) ).
tcf(c_144318,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144290,c_38566]) ).
tcf(c_144319,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_144290,c_38471]) ).
tcf(c_144320,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144290,c_48540]) ).
tcf(c_144321,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_144290,c_7950]) ).
tcf(c_144322,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144290,c_34531]) ).
tcf(c_144323,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_144290,c_34457]) ).
tcf(c_144324,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144290,c_45403]) ).
tcf(c_144325,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144290,c_34393]) ).
tcf(c_144326,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_144290,c_34307]) ).
tcf(c_144327,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_144290,c_33926]) ).
tcf(c_144328,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_144290,c_33816]) ).
tcf(c_144329,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_144290,c_38567]) ).
tcf(c_144330,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144290,c_29581]) ).
tcf(c_144331,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_144290,c_7663]) ).
tcf(c_144332,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_144290,c_34532]) ).
tcf(c_144333,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_144290,c_34394]) ).
tcf(c_144334,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144290,c_29153]) ).
tcf(c_144335,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144290,c_28998]) ).
tcf(c_144336,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144290,c_28928]) ).
tcf(c_144337,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144290,c_28789]) ).
tcf(c_144338,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_20) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_144290,c_28411]) ).
tcf(c_144339,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_144290,c_29583]) ).
tcf(c_144340,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_144290,c_29155]) ).
tcf(c_144341,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_20) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_144290,c_28403]) ).
tcf(c_144342,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_144290,c_29000]) ).
tcf(c_144343,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_144290,c_28930]) ).
tcf(c_144344,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_144290,c_28791]) ).
tcf(c_144345,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_20) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_144290,c_28401]) ).
tcf(c_144347,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_20) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_144290,c_28394]) ).
tcf(c_144348,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_20) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_144290,c_28392]) ).
tcf(c_144350,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_20,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_144290,c_7304]) ).
tcf(c_144351,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144290,c_3396]) ).
tcf(c_144352,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_144290,c_3394]) ).
tcf(c_144353,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144290,c_1343]) ).
tcf(c_144354,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_144290,c_1341]) ).
tcf(c_144355,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144290,c_1305]) ).
tcf(c_144356,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_144290,c_1303]) ).
tcf(c_144357,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144290,c_1272]) ).
tcf(c_144358,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_144290,c_1270]) ).
tcf(c_144359,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_144290,c_1230]) ).
tcf(c_144360,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144290,c_1135]) ).
tcf(c_144361,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_144290,c_7301]) ).
tcf(c_144538,plain,
iPr_def_16 = iPr_def_19,
inference(global_subsumption_just,[status(thm)],[c_80407,c_139041]) ).
tcf(c_144616,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_16,X0)) = X0,
inference(demodulation,[status(thm)],[c_22228,c_144538]) ).
tcf(c_144617,plain,
inverse(iPr_def_16) = sk_c7,
inference(demodulation,[status(thm)],[c_22366,c_144538]) ).
tcf(c_144618,plain,
multiply(sk_c7,iPr_def_16) = identity,
inference(demodulation,[status(thm)],[c_22225,c_144538]) ).
tcf(c_144621,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(demodulation,[status(thm)],[c_7388,c_144538]) ).
tcf(c_144639,plain,
multiply(iPr_def_16,iPr_def_16) = sk_c8,
inference(demodulation,[status(thm)],[c_7385,c_144538]) ).
tcf(c_144640,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = X0,
inference(demodulation,[status(thm)],[c_2917,c_144538]) ).
tcf(c_144646,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c9 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_690,c_144538]) ).
tcf(c_144647,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_680,c_144538]) ).
tcf(c_144648,plain,
multiply(iPr_def_16,sk_c7) = identity,
inference(demodulation,[status(thm)],[c_1259,c_144538]) ).
tcf(c_144649,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_670,c_144538]) ).
tcf(c_144650,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_660,c_144538]) ).
tcf(c_144651,plain,
inverse(sk_c7) = iPr_def_16,
inference(demodulation,[status(thm)],[c_631,c_144538]) ).
tcf(c_144652,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_650,c_144538]) ).
tcf(c_144678,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_8341,c_158,c_704,c_629,c_632,c_641,c_1040,c_2546,c_4190,c_4191,c_4192,c_4420,c_8676,c_8783,c_9027,c_36373,c_37872,c_49143,c_49845,c_50112,c_54806,c_55946,c_64122,c_74699,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_100907,c_105673,c_105695,c_105700,c_105701,c_105733,c_105734,c_105749,c_105926,c_105927,c_105961,c_106108,c_106145,c_106493,c_106831,c_106830,c_107163,c_107164,c_114960,c_118915,c_121799,c_121798,c_132177,c_132557]) ).
tcf(c_144724,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144678,c_46753]) ).
tcf(c_144729,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144678,c_3771]) ).
tcf(c_144730,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144678,c_36104]) ).
tcf(c_144731,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144678,c_35440]) ).
tcf(c_144734,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_144678,c_13387]) ).
tcf(c_144736,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_144678,c_13385]) ).
tcf(c_144737,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144678,c_18905]) ).
tcf(c_144739,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144678,c_18306]) ).
tcf(c_144750,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144678,c_3252]) ).
tcf(c_144758,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_144678,c_2895]) ).
tcf(c_144759,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_144678,c_2894]) ).
tcf(c_144764,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_144678,c_2167]) ).
tcf(c_144765,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_144678,c_2162]) ).
tcf(c_144768,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_144678,c_1644]) ).
tcf(c_144771,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_144678,c_646]) ).
tcf(c_144780,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_144678,c_638]) ).
tcf(c_144782,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144678,c_627]) ).
tcf(c_144788,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_144750,c_7301]) ).
tcf(c_144806,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_144739,c_7301]) ).
tcf(c_144810,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_144737,c_7301]) ).
tcf(c_144839,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22372,c_144651]) ).
tcf(c_144840,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22371,c_144651]) ).
tcf(c_144841,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22370,c_144651]) ).
tcf(c_144842,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_144651]) ).
tcf(c_144843,plain,
( ( sk_c9 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_144651]) ).
tcf(c_144846,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c7) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c11 )
| ( multiply(inverse(sk_c7),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_144651,c_643]) ).
tcf(c_144852,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(iPr_def_16,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_16 )
| ( multiply(X0,iPr_def_16) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_144846,c_144651,c_144618]) ).
tcf(c_144864,plain,
multiply(inverse(sk_c7),identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_144618,c_16658]) ).
tcf(c_144865,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_144618,c_105]) ).
tcf(c_144868,plain,
multiply(inverse(iPr_def_16),sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_144639,c_16658]) ).
tcf(c_144881,plain,
multiply(inverse(iPr_def_16),identity) = sk_c7,
inference(superposition,[status(thm)],[c_144648,c_16658]) ).
tcf(c_144882,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_144648,c_105]) ).
tcf(c_144892,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_144617,c_643]) ).
tcf(c_144896,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144646,c_144279]) ).
tcf(c_144898,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_678,c_144279]) ).
tcf(c_144899,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_668,c_144279]) ).
tcf(c_144900,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_658,c_144279]) ).
tcf(c_144901,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_648,c_144279]) ).
tcf(c_144906,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_679,c_144279]) ).
tcf(c_144907,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_669,c_144279]) ).
tcf(c_144908,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_659,c_144279]) ).
tcf(c_144909,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_649,c_144279]) ).
tcf(c_144910,plain,
multiply(inverse(sk_c6),iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_144279,c_16658]) ).
tcf(c_144911,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_144279,c_105]) ).
tcf(c_144977,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_679,c_144898]) ).
tcf(c_144978,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_669,c_144898]) ).
tcf(c_144979,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_659,c_144898]) ).
tcf(c_144980,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_649,c_144898]) ).
tcf(c_144981,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_144898,c_16658]) ).
tcf(c_144982,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_144898,c_105]) ).
tcf(c_144990,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c10) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_144981,c_13432,c_144617]) ).
tcf(c_145014,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_669,c_144899]) ).
tcf(c_145015,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_659,c_144899]) ).
tcf(c_145016,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_649,c_144899]) ).
tcf(c_145017,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_144899,c_16658]) ).
tcf(c_145018,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_144899,c_105]) ).
tcf(c_145026,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c10) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_145017,c_13432,c_144617]) ).
tcf(c_145048,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_659,c_144900]) ).
tcf(c_145049,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_649,c_144900]) ).
tcf(c_145050,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_144900,c_16658]) ).
tcf(c_145051,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_144900,c_105]) ).
tcf(c_145059,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_145050,c_13432,c_144617]) ).
tcf(c_145079,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_649,c_144901]) ).
tcf(c_145080,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_144901,c_16658]) ).
tcf(c_145081,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_144901,c_105]) ).
tcf(c_145089,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c10) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_145080,c_13432,c_144617]) ).
tcf(c_145095,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_8342,c_8783,c_9027,c_93991,c_105694,c_105695,c_105700,c_105701]) ).
tcf(c_145100,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1799,c_144640]) ).
tcf(c_145101,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1390,c_144640]) ).
tcf(c_145102,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1184,c_144640]) ).
tcf(c_145103,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1182,c_144640]) ).
tcf(c_145105,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8170,c_144640]) ).
tcf(c_145106,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8146,c_144640]) ).
tcf(c_145107,plain,
multiply(iPr_def_16,multiply(iPr_def_16,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_13432,c_144640]) ).
tcf(c_145115,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_144640,c_16658]) ).
tcf(c_145116,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(multiply(sk_c7,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_144640,c_105]) ).
tcf(c_145127,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(sk_c7,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_145116,c_22224,c_144538,c_144617]) ).
tcf(c_145147,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_144290,c_136046]) ).
tcf(c_145148,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48540,c_136046]) ).
tcf(c_145149,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45403,c_136046]) ).
tcf(c_145150,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136046,c_647]) ).
tcf(c_145151,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136046,c_645]) ).
tcf(c_145152,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136046,c_644]) ).
tcf(c_145153,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_136046,c_16658]) ).
tcf(c_145154,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_136046,c_105]) ).
tcf(c_145155,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136046,c_643]) ).
tcf(c_145156,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136046,c_646]) ).
tcf(c_145158,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_136046,c_7304]) ).
tcf(c_145160,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136046,c_34393]) ).
tcf(c_145162,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136046,c_9270]) ).
tcf(c_145163,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_136046,c_9322]) ).
tcf(c_145164,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_136046,c_9272]) ).
tcf(c_145240,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136060,c_647]) ).
tcf(c_145241,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136060,c_645]) ).
tcf(c_145242,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136060,c_644]) ).
tcf(c_145243,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_136060,c_16658]) ).
tcf(c_145244,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_136060,c_105]) ).
tcf(c_145245,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136060,c_643]) ).
tcf(c_145246,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136060,c_646]) ).
tcf(c_145249,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136060,c_13391]) ).
tcf(c_145250,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136060,c_13389]) ).
tcf(c_145251,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136060,c_13387]) ).
tcf(c_145252,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136060,c_13385]) ).
tcf(c_145256,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136060,c_31217]) ).
tcf(c_145257,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_136060,c_31215]) ).
tcf(c_145319,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_144977,c_16658]) ).
tcf(c_145320,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_144977,c_105]) ).
tcf(c_145321,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_144977,c_7342]) ).
tcf(c_145322,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_144977,c_7340]) ).
tcf(c_145323,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_144977,c_7338]) ).
tcf(c_145324,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_144977,c_7336]) ).
tcf(c_145325,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_144977,c_7334]) ).
tcf(c_145330,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_144977,c_23940]) ).
tcf(c_145332,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c10) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_145319,c_13432,c_144617]) ).
tcf(c_145354,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145014,c_16658]) ).
tcf(c_145355,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_145014,c_105]) ).
tcf(c_145356,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145014,c_7342]) ).
tcf(c_145357,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145014,c_7340]) ).
tcf(c_145358,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145014,c_7338]) ).
tcf(c_145360,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145014,c_7334]) ).
tcf(c_145365,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_145014,c_23940]) ).
tcf(c_145367,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c10) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_145354,c_13432,c_144617]) ).
tcf(c_145388,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145048,c_16658]) ).
tcf(c_145389,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_145048,c_105]) ).
tcf(c_145390,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145048,c_7342]) ).
tcf(c_145391,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145048,c_7340]) ).
tcf(c_145394,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145048,c_7334]) ).
tcf(c_145399,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_145048,c_23940]) ).
tcf(c_145401,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_145388,c_13432,c_144617]) ).
tcf(c_145421,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145079,c_16658]) ).
tcf(c_145422,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_145079,c_105]) ).
tcf(c_145423,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145079,c_7342]) ).
tcf(c_145427,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145079,c_7334]) ).
tcf(c_145432,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_145079,c_23940]) ).
tcf(c_145434,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c10) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_145421,c_13432,c_144617]) ).
tcf(c_145469,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136061,c_647]) ).
tcf(c_145470,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136061,c_645]) ).
tcf(c_145471,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136061,c_644]) ).
tcf(c_145472,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_136061,c_16658]) ).
tcf(c_145473,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_136061,c_105]) ).
tcf(c_145474,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136061,c_643]) ).
tcf(c_145475,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136061,c_646]) ).
tcf(c_145478,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136061,c_13391]) ).
tcf(c_145479,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136061,c_13389]) ).
tcf(c_145480,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136061,c_13387]) ).
tcf(c_145481,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136061,c_13385]) ).
tcf(c_145485,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136061,c_31217]) ).
tcf(c_145486,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_136061,c_31215]) ).
tcf(c_145550,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136065,c_647]) ).
tcf(c_145551,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_136065,c_645]) ).
tcf(c_145552,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136065,c_644]) ).
tcf(c_145553,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_136065,c_16658]) ).
tcf(c_145554,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_136065,c_105]) ).
tcf(c_145555,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136065,c_643]) ).
tcf(c_145556,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136065,c_646]) ).
tcf(c_145559,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136065,c_13391]) ).
tcf(c_145560,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136065,c_13389]) ).
tcf(c_145561,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136065,c_13387]) ).
tcf(c_145562,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136065,c_13385]) ).
tcf(c_145566,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136065,c_31217]) ).
tcf(c_145567,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_136065,c_31215]) ).
tcf(c_145621,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136098,c_136066]) ).
tcf(c_145622,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_136066]) ).
tcf(c_145623,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_136066]) ).
tcf(c_145640,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144290,c_136066]) ).
tcf(c_145641,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48540,c_136066]) ).
tcf(c_145642,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_45403,c_136066]) ).
tcf(c_145643,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136066,c_16658]) ).
tcf(c_145645,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_136066,c_2901]) ).
tcf(c_145646,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_136066,c_2900]) ).
tcf(c_145647,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_136066,c_2898]) ).
tcf(c_145648,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_136066,c_2896]) ).
tcf(c_145651,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_145648,c_12244]) ).
tcf(c_145654,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_145647,c_12854]) ).
tcf(c_145657,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_145646,c_13499]) ).
tcf(c_145660,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_145645,c_14259]) ).
tcf(c_145682,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_144290,c_136067]) ).
tcf(c_145683,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48540,c_136067]) ).
tcf(c_145684,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_45403,c_136067]) ).
tcf(c_145685,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136067,c_16658]) ).
tcf(c_145687,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136067,c_2920]) ).
tcf(c_145746,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_2894,c_8351]) ).
tcf(c_145747,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_7548,c_8351]) ).
tcf(c_145748,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_25,X0)) ) ),
inference(superposition,[status(thm)],[c_7796,c_8351]) ).
tcf(c_145750,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c10) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8351]) ).
tcf(c_145757,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18691,c_8351]) ).
tcf(c_145758,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18105,c_8351]) ).
tcf(c_145762,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2229,c_8351]) ).
tcf(c_145763,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2072,c_8351]) ).
tcf(c_145764,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2067,c_8351]) ).
tcf(c_145765,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1713,c_8351]) ).
tcf(c_145766,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1581,c_8351]) ).
tcf(c_145771,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_20,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_8351,c_16658]) ).
tcf(c_145772,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8351,c_105]) ).
tcf(c_145775,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_20,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_8351,c_23873]) ).
tcf(c_145825,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136100,c_136068]) ).
tcf(c_145826,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136099,c_136068]) ).
tcf(c_145870,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136068,c_28672]) ).
tcf(c_145888,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136073,c_16658]) ).
tcf(c_145890,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_136073,c_2899]) ).
tcf(c_145892,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_145890,c_13432]) ).
tcf(c_145899,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136074,c_16658]) ).
tcf(c_145901,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136074,c_2919]) ).
tcf(c_145908,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102561,c_136076]) ).
tcf(c_145909,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99832,c_136076]) ).
tcf(c_145910,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_136076]) ).
tcf(c_145911,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_46527,c_136076]) ).
tcf(c_145916,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136076,c_16658]) ).
tcf(c_145918,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_136076,c_2915]) ).
tcf(c_145964,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_136077]) ).
tcf(c_145965,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_136077]) ).
tcf(c_145991,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136077,c_16658]) ).
tcf(c_145994,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_136077,c_2901]) ).
tcf(c_145995,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_136077,c_2900]) ).
tcf(c_145996,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_136077,c_2898]) ).
tcf(c_145997,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_136077,c_2896]) ).
tcf(c_145999,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_145997,c_12244]) ).
tcf(c_146002,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_145996,c_12854]) ).
tcf(c_146005,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_145995,c_13499]) ).
tcf(c_146008,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_145994,c_14259]) ).
tcf(c_146030,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136078,c_16658]) ).
tcf(c_146032,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_136078,c_2920]) ).
tcf(c_146041,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_136079]) ).
tcf(c_146042,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_136079]) ).
tcf(c_146075,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_136079,c_16658]) ).
tcf(c_146078,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_136079,c_2901]) ).
tcf(c_146079,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_136079,c_2900]) ).
tcf(c_146080,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_136079,c_2898]) ).
tcf(c_146081,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_136079,c_2896]) ).
tcf(c_146083,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_146081,c_12244]) ).
tcf(c_146086,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_146080,c_12854]) ).
tcf(c_146089,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_146079,c_13499]) ).
tcf(c_146092,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_146078,c_14259]) ).
tcf(c_146121,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_136080,c_16658]) ).
tcf(c_146123,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_136080,c_2920]) ).
tcf(c_146177,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_2894,c_8520]) ).
tcf(c_146178,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_7548,c_8520]) ).
tcf(c_146179,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_25,X0)) ) ),
inference(superposition,[status(thm)],[c_7796,c_8520]) ).
tcf(c_146181,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c10) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8520]) ).
tcf(c_146202,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_20,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_8520,c_16658]) ).
tcf(c_146203,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8520,c_105]) ).
tcf(c_146206,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_20,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_8520,c_23873]) ).
tcf(c_146258,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143719,c_50824]) ).
tcf(c_146259,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143719,c_50783]) ).
tcf(c_146260,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143719,c_59515]) ).
tcf(c_146261,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143719,c_46612]) ).
tcf(c_146262,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143719,c_55675]) ).
tcf(c_146263,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143719,c_46544]) ).
tcf(c_146264,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_143719,c_35087]) ).
tcf(c_146265,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_143719,c_7950]) ).
tcf(c_146266,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_143719,c_46211]) ).
tcf(c_146267,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_143719,c_35014]) ).
tcf(c_146268,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_143719,c_34531]) ).
tcf(c_146269,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_143719,c_44501]) ).
tcf(c_146270,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_143719,c_34393]) ).
tcf(c_146274,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_143719,c_2792]) ).
tcf(c_146275,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_143719,c_3768]) ).
tcf(c_146276,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_143719,c_35960]) ).
tcf(c_146288,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_143719,c_16676]) ).
tcf(c_146293,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_143719,c_2901]) ).
tcf(c_146294,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_143719,c_2900]) ).
tcf(c_146295,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_143719,c_2898]) ).
tcf(c_146296,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_143719,c_2896]) ).
tcf(c_146297,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_143719,c_2894]) ).
tcf(c_146298,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_2241]) ).
tcf(c_146299,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_2173]) ).
tcf(c_146300,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_2077]) ).
tcf(c_146301,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_1885]) ).
tcf(c_146303,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_143719,c_1798]) ).
tcf(c_146304,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_1720]) ).
tcf(c_146306,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_1650]) ).
tcf(c_146307,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_1586]) ).
tcf(c_146308,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_1448]) ).
tcf(c_146309,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_143719,c_1389]) ).
tcf(c_146310,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_1343]) ).
tcf(c_146311,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_1305]) ).
tcf(c_146312,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_1272]) ).
tcf(c_146315,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_1135]) ).
tcf(c_146324,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_143719,c_647]) ).
tcf(c_146325,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_143719,c_645]) ).
tcf(c_146326,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_143719,c_1088]) ).
tcf(c_146327,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_143719,c_1075]) ).
tcf(c_146328,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_143719,c_644]) ).
tcf(c_146329,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_143719,c_640]) ).
tcf(c_146330,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143719,c_639]) ).
tcf(c_146331,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_143719,c_636]) ).
tcf(c_146332,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_143719,c_632]) ).
tcf(c_146333,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_143719,c_657]) ).
tcf(c_146334,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_627]) ).
tcf(c_146335,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_143719,c_654]) ).
tcf(c_146344,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_146332,c_12854]) ).
tcf(c_146347,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_146331,c_12244]) ).
tcf(c_146350,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_146330,c_14259]) ).
tcf(c_146353,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_146329,c_13499]) ).
tcf(c_146425,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_146296,c_12263]) ).
tcf(c_146428,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_146295,c_12873]) ).
tcf(c_146431,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_146294,c_13518]) ).
tcf(c_146434,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_146293,c_14278]) ).
tcf(c_146517,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18216,c_8552]) ).
tcf(c_146518,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18201,c_8552]) ).
tcf(c_146519,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18186,c_8552]) ).
tcf(c_146523,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_26) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8552]) ).
tcf(c_146524,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_29661,c_8552]) ).
tcf(c_146525,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_29642,c_8552]) ).
tcf(c_146526,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_29623,c_8552]) ).
tcf(c_146527,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_8552,c_16658]) ).
tcf(c_146528,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8552,c_105]) ).
tcf(c_146529,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,multiply(iPr_def_26,X0)) ) ),
inference(superposition,[status(thm)],[c_8552,c_2899]) ).
tcf(c_146532,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_26,X0) ) ),
inference(light_normalisation,[status(thm)],[c_146527,c_16844]) ).
tcf(c_146535,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c10,X0)) = multiply(iPr_def_16,multiply(iPr_def_26,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_146529,c_13436]) ).
tcf(c_146606,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_20,sk_c4) ) ),
inference(superposition,[status(thm)],[c_1257,c_8568]) ).
tcf(c_146607,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c4,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_2919,c_8568]) ).
tcf(c_146611,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,sk_c10) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7556,c_8568]) ).
tcf(c_146612,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(sk_c10,X0)) = multiply(iPr_def_20,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_7628,c_8568]) ).
tcf(c_146613,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8568]) ).
tcf(c_146614,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_8568,c_16658]) ).
tcf(c_146615,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(multiply(iPr_def_23,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8568,c_105]) ).
tcf(c_146616,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,multiply(iPr_def_23,X0)) ) ),
inference(superposition,[status(thm)],[c_8568,c_2899]) ).
tcf(c_146619,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_146611,c_632]) ).
tcf(c_146626,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_146614,c_16844]) ).
tcf(c_146629,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c10,X0)) = multiply(iPr_def_16,multiply(iPr_def_23,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_146616,c_13436]) ).
tcf(c_146632,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_146612,c_2898]) ).
tcf(c_146656,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,sk_c10) ) ),
inference(superposition,[status(thm)],[c_144646,c_144278]) ).
tcf(c_146658,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,sk_c10) ) ),
inference(superposition,[status(thm)],[c_678,c_144278]) ).
tcf(c_146659,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,sk_c10) ) ),
inference(superposition,[status(thm)],[c_668,c_144278]) ).
tcf(c_146660,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,sk_c10) ) ),
inference(superposition,[status(thm)],[c_658,c_144278]) ).
tcf(c_146661,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,sk_c10) ) ),
inference(superposition,[status(thm)],[c_648,c_144278]) ).
tcf(c_146662,plain,
multiply(inverse(sk_c6),multiply(iPr_def_20,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_144278,c_16658]) ).
tcf(c_146663,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c10),X0) = multiply(sk_c6,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_144278,c_105]) ).
tcf(c_146664,plain,
multiply(iPr_def_18,multiply(iPr_def_20,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_144278,c_2916]) ).
tcf(c_146684,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_143719,c_146658]) ).
tcf(c_146687,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_59515,c_146658]) ).
tcf(c_146688,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_55675,c_146658]) ).
tcf(c_146689,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_46211,c_146658]) ).
tcf(c_146690,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_44501,c_146658]) ).
tcf(c_146691,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18691,c_146658]) ).
tcf(c_146692,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18105,c_146658]) ).
tcf(c_146695,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_2234,c_146658]) ).
tcf(c_146696,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_2229,c_146658]) ).
tcf(c_146697,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_2072,c_146658]) ).
tcf(c_146698,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_2067,c_146658]) ).
tcf(c_146699,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1713,c_146658]) ).
tcf(c_146700,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1581,c_146658]) ).
tcf(c_146701,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_1088,c_146658]) ).
tcf(c_146702,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_1075,c_146658]) ).
tcf(c_146703,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_657,c_146658]) ).
tcf(c_146704,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_654,c_146658]) ).
tcf(c_146705,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_146658,c_647]) ).
tcf(c_146706,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146658,c_645]) ).
tcf(c_146707,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146658,c_644]) ).
tcf(c_146708,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_16,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146658,c_16658]) ).
tcf(c_146709,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(multiply(iPr_def_16,iPr_def_20),X0) = multiply(iPr_def_20,multiply(sk_c10,X0)) ) ),
inference(superposition,[status(thm)],[c_146658,c_105]) ).
tcf(c_146710,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146658,c_136065]) ).
tcf(c_146711,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146658,c_136061]) ).
tcf(c_146712,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146658,c_136060]) ).
tcf(c_146713,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_16,iPr_def_20)) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_146658,c_7548]) ).
tcf(c_146801,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_143719,c_146659]) ).
tcf(c_146804,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_59515,c_146659]) ).
tcf(c_146805,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_55675,c_146659]) ).
tcf(c_146806,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_46211,c_146659]) ).
tcf(c_146807,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_44501,c_146659]) ).
tcf(c_146808,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18691,c_146659]) ).
tcf(c_146809,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18105,c_146659]) ).
tcf(c_146812,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_2234,c_146659]) ).
tcf(c_146813,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_2229,c_146659]) ).
tcf(c_146814,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_2072,c_146659]) ).
tcf(c_146815,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_2067,c_146659]) ).
tcf(c_146816,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1713,c_146659]) ).
tcf(c_146817,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1581,c_146659]) ).
tcf(c_146818,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_1088,c_146659]) ).
tcf(c_146819,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_1075,c_146659]) ).
tcf(c_146820,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_657,c_146659]) ).
tcf(c_146821,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_654,c_146659]) ).
tcf(c_146822,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_146659,c_647]) ).
tcf(c_146823,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146659,c_645]) ).
tcf(c_146824,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146659,c_644]) ).
tcf(c_146825,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_16,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146659,c_16658]) ).
tcf(c_146826,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(multiply(iPr_def_16,iPr_def_20),X0) = multiply(iPr_def_20,multiply(sk_c10,X0)) ) ),
inference(superposition,[status(thm)],[c_146659,c_105]) ).
tcf(c_146827,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146659,c_136065]) ).
tcf(c_146828,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146659,c_136061]) ).
tcf(c_146829,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146659,c_136060]) ).
tcf(c_146830,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_16,iPr_def_20)) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_146659,c_7548]) ).
tcf(c_146925,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18691,c_146660]) ).
tcf(c_146926,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18105,c_146660]) ).
tcf(c_146929,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_2234,c_146660]) ).
tcf(c_146930,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_2229,c_146660]) ).
tcf(c_146931,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_2072,c_146660]) ).
tcf(c_146932,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_2067,c_146660]) ).
tcf(c_146933,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1713,c_146660]) ).
tcf(c_146934,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1581,c_146660]) ).
tcf(c_146937,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_657,c_146660]) ).
tcf(c_146938,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_654,c_146660]) ).
tcf(c_146939,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_146660,c_647]) ).
tcf(c_146940,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146660,c_645]) ).
tcf(c_146941,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146660,c_644]) ).
tcf(c_146942,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_16,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146660,c_16658]) ).
tcf(c_146943,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(multiply(iPr_def_16,iPr_def_20),X0) = multiply(iPr_def_20,multiply(sk_c10,X0)) ) ),
inference(superposition,[status(thm)],[c_146660,c_105]) ).
tcf(c_146944,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146660,c_136065]) ).
tcf(c_146945,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146660,c_136061]) ).
tcf(c_146946,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146660,c_136060]) ).
tcf(c_146947,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_16,iPr_def_20)) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_146660,c_7548]) ).
tcf(c_147033,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_657,c_146661]) ).
tcf(c_147034,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_654,c_146661]) ).
tcf(c_147035,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_146661,c_647]) ).
tcf(c_147036,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146661,c_645]) ).
tcf(c_147037,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_16,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146661,c_644]) ).
tcf(c_147038,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_16,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146661,c_16658]) ).
tcf(c_147039,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_16,iPr_def_20),X0) = multiply(iPr_def_20,multiply(sk_c10,X0)) ) ),
inference(superposition,[status(thm)],[c_146661,c_105]) ).
tcf(c_147040,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146661,c_136065]) ).
tcf(c_147041,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146661,c_136061]) ).
tcf(c_147042,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146661,c_136060]) ).
tcf(c_147043,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_16,iPr_def_20)) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_146661,c_7548]) ).
tcf(c_147083,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_16,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147033,c_16658]) ).
tcf(c_147084,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_16,iPr_def_20),X0) = multiply(iPr_def_20,multiply(iPr_def_26,X0)) ) ),
inference(superposition,[status(thm)],[c_147033,c_105]) ).
tcf(c_147085,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147033,c_136065]) ).
tcf(c_147086,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147033,c_136061]) ).
tcf(c_147087,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147033,c_136060]) ).
tcf(c_147088,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_16,iPr_def_20)) = multiply(iPr_def_15,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_147033,c_7548]) ).
tcf(c_147112,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_16,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_147034,c_16658]) ).
tcf(c_147113,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_16,iPr_def_20),X0) = multiply(iPr_def_20,multiply(iPr_def_23,X0)) ) ),
inference(superposition,[status(thm)],[c_147034,c_105]) ).
tcf(c_147114,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_147034,c_136065]) ).
tcf(c_147115,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_147034,c_136061]) ).
tcf(c_147116,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_147034,c_136060]) ).
tcf(c_147117,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_16,iPr_def_20)) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_147034,c_7548]) ).
tcf(c_147138,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_8576,c_23873,c_135870,c_144137,c_144277]) ).
tcf(c_147162,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_147138,c_647]) ).
tcf(c_147163,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_147138,c_645]) ).
tcf(c_147164,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_147138,c_644]) ).
tcf(c_147165,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_147138,c_16658]) ).
tcf(c_147166,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_147138,c_105]) ).
tcf(c_147167,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_147138,c_643]) ).
tcf(c_147168,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_147138,c_646]) ).
tcf(c_147169,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_147138,c_7548]) ).
tcf(c_147170,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_147138,c_146661]) ).
tcf(c_147171,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_147138,c_146660]) ).
tcf(c_147175,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_147138,c_13391]) ).
tcf(c_147176,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_147138,c_13389]) ).
tcf(c_147182,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_147138,c_31217]) ).
tcf(c_147183,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_147138,c_31215]) ).
tcf(c_147185,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147138,c_147033]) ).
tcf(c_147186,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_147138,c_147034]) ).
tcf(c_147256,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144324,c_138756]) ).
tcf(c_147257,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144324,c_130301]) ).
tcf(c_147258,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144324,c_8334]) ).
tcf(c_147260,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_144324,c_29661]) ).
tcf(c_147261,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_144324,c_29642]) ).
tcf(c_147262,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_144324,c_29623]) ).
tcf(c_147263,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_144324,c_18214]) ).
tcf(c_147264,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_144324,c_18199]) ).
tcf(c_147265,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_144324,c_18184]) ).
tcf(c_147266,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_144324,c_18216]) ).
tcf(c_147267,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_144324,c_18201]) ).
tcf(c_147268,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_144324,c_18186]) ).
tcf(c_147269,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_144324,c_7633]) ).
tcf(c_147270,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144324,c_7148]) ).
tcf(c_147271,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144324,c_7147]) ).
tcf(c_147272,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_144324,c_7146]) ).
tcf(c_147273,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144324,c_7145]) ).
tcf(c_147274,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144324,c_7144]) ).
tcf(c_147275,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144324,c_7016]) ).
tcf(c_147276,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144324,c_7015]) ).
tcf(c_147277,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_144324,c_7014]) ).
tcf(c_147278,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144324,c_7013]) ).
tcf(c_147279,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144324,c_7012]) ).
tcf(c_147280,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144324,c_5162]) ).
tcf(c_147281,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144324,c_5161]) ).
tcf(c_147282,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_144324,c_5160]) ).
tcf(c_147283,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144324,c_5159]) ).
tcf(c_147284,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144324,c_5158]) ).
tcf(c_147290,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_144324,c_1223]) ).
tcf(c_147293,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_144324,c_7630]) ).
tcf(c_147296,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_147265,c_19276]) ).
tcf(c_147300,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_147264,c_19276]) ).
tcf(c_147304,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_147263,c_19276]) ).
tcf(c_147315,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_147282,c_18663]) ).
tcf(c_147331,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_147277,c_18663]) ).
tcf(c_147347,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_147272,c_18663]) ).
tcf(c_147399,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145079,c_144616]) ).
tcf(c_147400,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145048,c_144616]) ).
tcf(c_147401,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_145014,c_144616]) ).
tcf(c_147402,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_144977,c_144616]) ).
tcf(c_147403,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23948,c_144616]) ).
tcf(c_147404,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23946,c_144616]) ).
tcf(c_147405,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23944,c_144616]) ).
tcf(c_147406,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23942,c_144616]) ).
tcf(c_147407,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c7,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23940,c_144616]) ).
tcf(c_147408,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_144901,c_144616]) ).
tcf(c_147409,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_144900,c_144616]) ).
tcf(c_147410,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_144899,c_144616]) ).
tcf(c_147411,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_144898,c_144616]) ).
tcf(c_147412,plain,
! [X0: $i] : multiply(inverse(sk_c7),X0) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_144616,c_16658]) ).
tcf(c_147413,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_144616,c_105]) ).
tcf(c_147507,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_144788,c_146659]) ).
tcf(c_147508,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_144788,c_146658]) ).
tcf(c_147515,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144788,c_50824]) ).
tcf(c_147516,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144788,c_50783]) ).
tcf(c_147517,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144788,c_59515]) ).
tcf(c_147521,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144788,c_35087]) ).
tcf(c_147522,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_144788,c_7950]) ).
tcf(c_147523,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144788,c_46211]) ).
tcf(c_147525,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144788,c_34531]) ).
tcf(c_147531,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_144788,c_2792]) ).
tcf(c_147532,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_144788,c_3768]) ).
tcf(c_147533,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_144788,c_35960]) ).
tcf(c_147545,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_144788,c_16676]) ).
tcf(c_147550,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_144788,c_2901]) ).
tcf(c_147551,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_144788,c_2900]) ).
tcf(c_147552,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_144788,c_2898]) ).
tcf(c_147553,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_144788,c_2896]) ).
tcf(c_147554,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_144788,c_2894]) ).
tcf(c_147555,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_2241]) ).
tcf(c_147556,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_2173]) ).
tcf(c_147557,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_2077]) ).
tcf(c_147558,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_1885]) ).
tcf(c_147560,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144788,c_1798]) ).
tcf(c_147561,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_1720]) ).
tcf(c_147563,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_1650]) ).
tcf(c_147564,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_1586]) ).
tcf(c_147565,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_1448]) ).
tcf(c_147566,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144788,c_1389]) ).
tcf(c_147567,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_1343]) ).
tcf(c_147568,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_1305]) ).
tcf(c_147569,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_1272]) ).
tcf(c_147572,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_1135]) ).
tcf(c_147581,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_144788,c_647]) ).
tcf(c_147582,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_144788,c_645]) ).
tcf(c_147584,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_144788,c_1075]) ).
tcf(c_147585,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_144788,c_644]) ).
tcf(c_147586,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144788,c_640]) ).
tcf(c_147587,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144788,c_639]) ).
tcf(c_147588,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_144788,c_636]) ).
tcf(c_147589,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144788,c_632]) ).
tcf(c_147590,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_144788,c_657]) ).
tcf(c_147591,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_627]) ).
tcf(c_147592,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_144788,c_654]) ).
tcf(c_147601,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_147589,c_12854]) ).
tcf(c_147604,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_147588,c_12244]) ).
tcf(c_147607,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_147587,c_14259]) ).
tcf(c_147610,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_147586,c_13499]) ).
tcf(c_147673,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_147553,c_12263]) ).
tcf(c_147676,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_147552,c_12873]) ).
tcf(c_147679,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_147551,c_13518]) ).
tcf(c_147682,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_147550,c_14278]) ).
tcf(c_149476,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_144290,c_143711]) ).
tcf(c_149477,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48540,c_143711]) ).
tcf(c_149478,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_45403,c_143711]) ).
tcf(c_149479,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143711,c_16658]) ).
tcf(c_149481,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143711,c_2920]) ).
tcf(c_149495,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_143713]) ).
tcf(c_149496,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_143719,c_143713]) ).
tcf(c_149499,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_143713]) ).
tcf(c_149500,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55675,c_143713]) ).
tcf(c_149517,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144290,c_143713]) ).
tcf(c_149518,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48540,c_143713]) ).
tcf(c_149519,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_45403,c_143713]) ).
tcf(c_149520,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143713,c_16658]) ).
tcf(c_149524,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_143713,c_2901]) ).
tcf(c_149525,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_143713,c_2900]) ).
tcf(c_149526,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_143713,c_2898]) ).
tcf(c_149527,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_143713,c_2896]) ).
tcf(c_149537,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_149527,c_12244]) ).
tcf(c_149540,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_149526,c_12854]) ).
tcf(c_149543,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_149525,c_13499]) ).
tcf(c_149546,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_149524,c_14259]) ).
tcf(c_149565,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_143713]) ).
tcf(c_149566,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_146262,c_143711]) ).
tcf(c_149567,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_146262,c_136067]) ).
tcf(c_149568,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_136066]) ).
tcf(c_149569,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_146262,c_136046]) ).
tcf(c_149570,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_146262,c_144290]) ).
tcf(c_149572,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_146262,c_136012]) ).
tcf(c_149573,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_146262,c_9322]) ).
tcf(c_149574,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146262,c_9320]) ).
tcf(c_149575,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_146262,c_9272]) ).
tcf(c_149576,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146262,c_9270]) ).
tcf(c_149577,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146262,c_8072]) ).
tcf(c_149578,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146262,c_8065]) ).
tcf(c_149579,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_146262,c_62206]) ).
tcf(c_149582,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_146262,c_7950]) ).
tcf(c_149583,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_146262,c_34531]) ).
tcf(c_149584,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_146262,c_34457]) ).
tcf(c_149586,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_146262,c_34393]) ).
tcf(c_149587,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_146262,c_34307]) ).
tcf(c_149588,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_146262,c_33926]) ).
tcf(c_149589,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_146262,c_33816]) ).
tcf(c_149590,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_146262,c_34532]) ).
tcf(c_149591,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_146262,c_34394]) ).
tcf(c_149592,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_29153]) ).
tcf(c_149593,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_28998]) ).
tcf(c_149594,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_28928]) ).
tcf(c_149595,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_28789]) ).
tcf(c_149596,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_146262,c_29155]) ).
tcf(c_149597,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_146262,c_28403]) ).
tcf(c_149598,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_146262,c_29000]) ).
tcf(c_149599,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_146262,c_28930]) ).
tcf(c_149600,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_146262,c_28791]) ).
tcf(c_149601,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_146262,c_28401]) ).
tcf(c_149603,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_146262,c_28394]) ).
tcf(c_149605,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_146262,c_7304]) ).
tcf(c_149606,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_1343]) ).
tcf(c_149607,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_146262,c_1341]) ).
tcf(c_149608,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_1305]) ).
tcf(c_149609,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_146262,c_1303]) ).
tcf(c_149610,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_1272]) ).
tcf(c_149611,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_146262,c_1270]) ).
tcf(c_149612,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_146262,c_1230]) ).
tcf(c_149613,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_1135]) ).
tcf(c_149614,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146262,c_7301]) ).
tcf(c_149752,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_146269,c_136089]) ).
tcf(c_149753,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_146269,c_136088]) ).
tcf(c_149754,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146269,c_9320]) ).
tcf(c_149756,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146269,c_9294]) ).
tcf(c_149757,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146269,c_9270]) ).
tcf(c_149759,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146269,c_8909]) ).
tcf(c_149761,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_146269,c_46751]) ).
tcf(c_149762,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_146269,c_46750]) ).
tcf(c_149763,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_146269,c_46749]) ).
tcf(c_149764,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146269,c_46748]) ).
tcf(c_149769,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146269,c_44757]) ).
tcf(c_149779,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_146269,c_7323]) ).
tcf(c_149822,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_146326,c_138756]) ).
tcf(c_149823,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_146326,c_130301]) ).
tcf(c_149826,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_146326,c_29661]) ).
tcf(c_149827,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_146326,c_29642]) ).
tcf(c_149828,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_146326,c_29623]) ).
tcf(c_149829,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_146326,c_18214]) ).
tcf(c_149830,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_146326,c_18199]) ).
tcf(c_149831,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_146326,c_18184]) ).
tcf(c_149832,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_146326,c_18216]) ).
tcf(c_149833,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_146326,c_18201]) ).
tcf(c_149834,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_146326,c_18186]) ).
tcf(c_149835,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_146326,c_7633]) ).
tcf(c_149836,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146326,c_7148]) ).
tcf(c_149837,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_146326,c_7147]) ).
tcf(c_149838,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_146326,c_7146]) ).
tcf(c_149839,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_146326,c_7145]) ).
tcf(c_149840,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_146326,c_7144]) ).
tcf(c_149841,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146326,c_7016]) ).
tcf(c_149842,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_146326,c_7015]) ).
tcf(c_149843,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_146326,c_7014]) ).
tcf(c_149844,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_146326,c_7013]) ).
tcf(c_149845,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_146326,c_7012]) ).
tcf(c_149846,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146326,c_5162]) ).
tcf(c_149847,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_146326,c_5161]) ).
tcf(c_149848,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_146326,c_5160]) ).
tcf(c_149849,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_146326,c_5159]) ).
tcf(c_149850,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_146326,c_5158]) ).
tcf(c_149856,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_146326,c_1223]) ).
tcf(c_149859,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_146326,c_7630]) ).
tcf(c_149862,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_149831,c_19276]) ).
tcf(c_149866,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_149830,c_19276]) ).
tcf(c_149870,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_149829,c_19276]) ).
tcf(c_149881,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_149848,c_18663]) ).
tcf(c_149897,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_149843,c_18663]) ).
tcf(c_149913,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_149838,c_18663]) ).
tcf(c_149972,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_136065,c_144284]) ).
tcf(c_149973,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_136061,c_144284]) ).
tcf(c_149974,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_136060,c_144284]) ).
tcf(c_149975,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,iPr_def_20)) = multiply(sk_c8,sk_c10) ) ),
inference(superposition,[status(thm)],[c_146661,c_144284]) ).
tcf(c_149976,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,iPr_def_20)) = multiply(sk_c8,sk_c10) ) ),
inference(superposition,[status(thm)],[c_146660,c_144284]) ).
tcf(c_149977,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,iPr_def_20)) = multiply(sk_c8,sk_c10) ) ),
inference(superposition,[status(thm)],[c_146659,c_144284]) ).
tcf(c_149978,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,iPr_def_20)) = multiply(sk_c8,sk_c10) ) ),
inference(superposition,[status(thm)],[c_146658,c_144284]) ).
tcf(c_149979,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,sk_c11) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_136034,c_144284]) ).
tcf(c_149980,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,iPr_def_15)) = multiply(sk_c8,sk_c11) ) ),
inference(superposition,[status(thm)],[c_13391,c_144284]) ).
tcf(c_149981,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,iPr_def_15)) = multiply(sk_c8,sk_c11) ) ),
inference(superposition,[status(thm)],[c_13389,c_144284]) ).
tcf(c_149982,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,iPr_def_15)) = multiply(sk_c8,sk_c11) ) ),
inference(superposition,[status(thm)],[c_13387,c_144284]) ).
tcf(c_149983,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,iPr_def_15)) = multiply(sk_c8,sk_c11) ) ),
inference(superposition,[status(thm)],[c_13385,c_144284]) ).
tcf(c_149984,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_20) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_136045,c_144284]) ).
tcf(c_149985,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_20) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_136041,c_144284]) ).
tcf(c_149986,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_20) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_136040,c_144284]) ).
tcf(c_149987,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,iPr_def_15)) = multiply(sk_c8,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_31217,c_144284]) ).
tcf(c_149988,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,iPr_def_15)) = multiply(sk_c8,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_31215,c_144284]) ).
tcf(c_149989,plain,
multiply(sk_c8,identity) = multiply(iPr_def_18,iPr_def_20),
inference(superposition,[status(thm)],[c_17582,c_144284]) ).
tcf(c_149990,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,iPr_def_20)) = multiply(sk_c8,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_147033,c_144284]) ).
tcf(c_149991,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,iPr_def_20)) = multiply(sk_c8,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_147034,c_144284]) ).
tcf(c_149992,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),multiply(sk_c8,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_144284,c_16658]) ).
tcf(c_149993,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(multiply(iPr_def_20,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_144284,c_105]) ).
tcf(c_149994,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_16,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_144284,c_8170]) ).
tcf(c_149995,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_16,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_144284,c_8146]) ).
tcf(c_150005,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,sk_c11) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_149979,c_144146]) ).
tcf(c_150030,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,iPr_def_20)) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_149978,c_632]) ).
tcf(c_150033,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,iPr_def_20)) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_149977,c_632]) ).
tcf(c_150036,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,iPr_def_20)) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_149976,c_632]) ).
tcf(c_150039,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,iPr_def_20)) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_149975,c_632]) ).
tcf(c_150042,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_149995,c_2899]) ).
tcf(c_150045,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_149994,c_2899]) ).
tcf(c_150086,plain,
multiply(sk_c8,iPr_def_16) = multiply(iPr_def_16,sk_c8),
inference(superposition,[status(thm)],[c_144639,c_144621]) ).
tcf(c_150087,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_144640,c_144621]) ).
tcf(c_150088,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_16,identity),
inference(superposition,[status(thm)],[c_144648,c_144621]) ).
tcf(c_150089,plain,
multiply(sk_c8,identity) = multiply(iPr_def_16,iPr_def_16),
inference(superposition,[status(thm)],[c_17582,c_144621]) ).
tcf(c_150091,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_145079,c_144621]) ).
tcf(c_150092,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_145048,c_144621]) ).
tcf(c_150093,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_145014,c_144621]) ).
tcf(c_150094,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_144977,c_144621]) ).
tcf(c_150095,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_23948,c_144621]) ).
tcf(c_150096,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_23946,c_144621]) ).
tcf(c_150097,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_23944,c_144621]) ).
tcf(c_150098,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_23942,c_144621]) ).
tcf(c_150099,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_23940,c_144621]) ).
tcf(c_150100,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_144901,c_144621]) ).
tcf(c_150101,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_144900,c_144621]) ).
tcf(c_150102,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_144899,c_144621]) ).
tcf(c_150103,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_144898,c_144621]) ).
tcf(c_150104,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_144621,c_16658]) ).
tcf(c_150105,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_144621,c_105]) ).
tcf(c_150106,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_16,multiply(sk_c8,X0)),
inference(superposition,[status(thm)],[c_144621,c_144621]) ).
tcf(c_150188,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_146262,c_144780]) ).
tcf(c_150189,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_144290,c_144780]) ).
tcf(c_150190,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48540,c_144780]) ).
tcf(c_150192,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144780,c_16658]) ).
tcf(c_150194,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144780,c_2920]) ).
tcf(c_150209,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144788,c_144782]) ).
tcf(c_150213,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_144782]) ).
tcf(c_150231,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_144782]) ).
tcf(c_150232,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144290,c_144782]) ).
tcf(c_150233,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48540,c_144782]) ).
tcf(c_150235,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144782,c_16658]) ).
tcf(c_150239,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_144782,c_2901]) ).
tcf(c_150240,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_144782,c_2900]) ).
tcf(c_150241,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_144782,c_2898]) ).
tcf(c_150242,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_144782,c_2896]) ).
tcf(c_150250,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_150242,c_12244]) ).
tcf(c_150253,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_150241,c_12854]) ).
tcf(c_150256,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_150240,c_13499]) ).
tcf(c_150259,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_150239,c_14259]) ).
tcf(c_150275,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147517,c_144782]) ).
tcf(c_150276,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147517,c_144780]) ).
tcf(c_150279,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147517,c_136067]) ).
tcf(c_150280,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147517,c_136066]) ).
tcf(c_150281,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_147517,c_136046]) ).
tcf(c_150282,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_147517,c_144290]) ).
tcf(c_150284,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_147517,c_136012]) ).
tcf(c_150287,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_147517,c_9272]) ).
tcf(c_150288,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_147517,c_9270]) ).
tcf(c_150290,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_147517,c_8065]) ).
tcf(c_150294,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_147517,c_7950]) ).
tcf(c_150295,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_147517,c_34531]) ).
tcf(c_150296,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_147517,c_34457]) ).
tcf(c_150300,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_147517,c_33926]) ).
tcf(c_150301,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_147517,c_33816]) ).
tcf(c_150302,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_147517,c_34532]) ).
tcf(c_150304,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147517,c_29153]) ).
tcf(c_150306,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147517,c_28928]) ).
tcf(c_150307,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147517,c_28789]) ).
tcf(c_150308,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_147517,c_29155]) ).
tcf(c_150309,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_147517,c_28403]) ).
tcf(c_150311,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_147517,c_28930]) ).
tcf(c_150312,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_147517,c_28791]) ).
tcf(c_150315,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_147517,c_28394]) ).
tcf(c_150316,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_147517,c_28392]) ).
tcf(c_150317,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_147517,c_7304]) ).
tcf(c_150318,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147517,c_1343]) ).
tcf(c_150319,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147517,c_1341]) ).
tcf(c_150320,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147517,c_1305]) ).
tcf(c_150321,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147517,c_1303]) ).
tcf(c_150322,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147517,c_1272]) ).
tcf(c_150323,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147517,c_1270]) ).
tcf(c_150324,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_147517,c_1230]) ).
tcf(c_150325,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147517,c_1135]) ).
tcf(c_150326,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_147517,c_7301]) ).
tcf(c_150509,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_147523,c_136089]) ).
tcf(c_150514,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_147523,c_9270]) ).
tcf(c_150516,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_147523,c_8909]) ).
tcf(c_150521,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147523,c_46748]) ).
tcf(c_150536,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_147523,c_7323]) ).
tcf(c_150566,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_147584,c_7633]) ).
tcf(c_150567,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_147584,c_18082]) ).
tcf(c_150568,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_20) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_147584,c_18150]) ).
tcf(c_150569,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_147584,c_18079]) ).
tcf(c_150576,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_147584,c_7630]) ).
tcf(c_150577,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_147584,c_2920]) ).
tcf(c_150578,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_147584,c_1256]) ).
tcf(c_150615,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_149570,c_7633]) ).
tcf(c_150636,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_149570,c_1223]) ).
tcf(c_150639,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_149570,c_7630]) ).
tcf(c_150704,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_144646,c_144911]) ).
tcf(c_150711,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_7147,c_144911]) ).
tcf(c_150712,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_7015,c_144911]) ).
tcf(c_150713,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_5161,c_144911]) ).
tcf(c_150714,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1197,c_144911]) ).
tcf(c_150715,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_6458,c_144911]) ).
tcf(c_150716,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_6314,c_144911]) ).
tcf(c_150717,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_4847,c_144911]) ).
tcf(c_150718,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1198,c_144911]) ).
tcf(c_150719,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_136073,c_144911]) ).
tcf(c_150720,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18903,c_144911]) ).
tcf(c_150721,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_18304,c_144911]) ).
tcf(c_150722,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3308,c_144911]) ).
tcf(c_150723,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3250,c_144911]) ).
tcf(c_150724,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_20,X0)) = multiply(iPr_def_20,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_2898,c_144911]) ).
tcf(c_150725,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_20,X0)) = multiply(iPr_def_20,multiply(iPr_def_26,X0)) ) ),
inference(superposition,[status(thm)],[c_8552,c_144911]) ).
tcf(c_150726,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_20,X0)) = multiply(iPr_def_20,multiply(iPr_def_23,X0)) ) ),
inference(superposition,[status(thm)],[c_8568,c_144911]) ).
tcf(c_150727,plain,
multiply(sk_c6,multiply(iPr_def_20,sk_c11)) = multiply(iPr_def_20,iPr_def_15),
inference(superposition,[status(thm)],[c_12854,c_144911]) ).
tcf(c_150728,plain,
multiply(sk_c6,sk_c8) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_17582,c_144911]) ).
tcf(c_150729,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_46751,c_144911]) ).
tcf(c_150730,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_44760,c_144911]) ).
tcf(c_150735,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_679,c_144911]) ).
tcf(c_150736,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_669,c_144911]) ).
tcf(c_150737,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_659,c_144911]) ).
tcf(c_150738,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_649,c_144911]) ).
tcf(c_150739,plain,
! [X0: $i] : multiply(inverse(sk_c6),multiply(iPr_def_20,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_144911,c_16658]) ).
tcf(c_150740,plain,
! [X0: $i,X1: $i] : multiply(sk_c6,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1),
inference(superposition,[status(thm)],[c_144911,c_105]) ).
tcf(c_150744,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_150730,c_144278]) ).
tcf(c_150747,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_150729,c_144278]) ).
tcf(c_150750,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_150723,c_144278]) ).
tcf(c_150753,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_150722,c_144278]) ).
tcf(c_150756,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_150721,c_144278]) ).
tcf(c_150759,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_150720,c_144278]) ).
tcf(c_150762,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_150719,c_144278]) ).
tcf(c_150765,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_150718,c_144278]) ).
tcf(c_150768,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_150717,c_144278]) ).
tcf(c_150771,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_150716,c_144278]) ).
tcf(c_150774,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_150715,c_144278]) ).
tcf(c_150777,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_150714,c_144278]) ).
tcf(c_150780,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_150713,c_144278]) ).
tcf(c_150783,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_150712,c_144278]) ).
tcf(c_150786,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_150711,c_144278]) ).
tcf(c_150789,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_150738,c_23873]) ).
tcf(c_150793,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_150736,c_23873]) ).
tcf(c_150796,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_150735,c_23873]) ).
tcf(c_150977,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144678,c_146344]) ).
tcf(c_150978,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_143572,c_146344]) ).
tcf(c_151005,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_146344]) ).
tcf(c_151006,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_686,c_146344]) ).
tcf(c_151007,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_684,c_146344]) ).
tcf(c_151008,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_146344]) ).
tcf(c_151009,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_677,c_146344]) ).
tcf(c_151010,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_676,c_146344]) ).
tcf(c_151011,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_674,c_146344]) ).
tcf(c_151012,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_146344]) ).
tcf(c_151013,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_146344]) ).
tcf(c_151014,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_666,c_146344]) ).
tcf(c_151015,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_146344]) ).
tcf(c_151016,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_661,c_146344]) ).
tcf(c_151019,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_146344,c_16658]) ).
tcf(c_151021,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146344,c_646]) ).
tcf(c_151022,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,sk_c11) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_146344,c_144284]) ).
tcf(c_151036,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,sk_c11) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151022,c_144146]) ).
tcf(c_151089,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_144678,c_146347]) ).
tcf(c_151090,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_143572,c_146347]) ).
tcf(c_151117,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_687,c_146347]) ).
tcf(c_151118,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_686,c_146347]) ).
tcf(c_151119,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_684,c_146347]) ).
tcf(c_151120,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_681,c_146347]) ).
tcf(c_151121,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_677,c_146347]) ).
tcf(c_151122,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_676,c_146347]) ).
tcf(c_151123,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_674,c_146347]) ).
tcf(c_151124,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_671,c_146347]) ).
tcf(c_151125,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_667,c_146347]) ).
tcf(c_151126,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_666,c_146347]) ).
tcf(c_151127,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_664,c_146347]) ).
tcf(c_151128,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_661,c_146347]) ).
tcf(c_151131,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_146347,c_16658]) ).
tcf(c_151133,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146347,c_646]) ).
tcf(c_151137,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_146347,c_7628]) ).
tcf(c_151330,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_18) = multiply(iPr_def_18,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_679,c_150086]) ).
tcf(c_151331,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = multiply(iPr_def_18,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_669,c_150086]) ).
tcf(c_151332,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = multiply(iPr_def_18,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_659,c_150086]) ).
tcf(c_151333,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = multiply(iPr_def_18,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_649,c_150086]) ).
tcf(c_151334,plain,
multiply(inverse(sk_c8),multiply(iPr_def_16,sk_c8)) = iPr_def_16,
inference(superposition,[status(thm)],[c_150086,c_16658]) ).
tcf(c_151335,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,sk_c8),X0) = multiply(sk_c8,multiply(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_150086,c_105]) ).
tcf(c_151336,plain,
multiply(sk_c6,multiply(iPr_def_16,sk_c8)) = multiply(iPr_def_20,iPr_def_16),
inference(superposition,[status(thm)],[c_150086,c_144911]) ).
tcf(c_151337,plain,
multiply(sk_c7,multiply(iPr_def_16,sk_c8)) = multiply(iPr_def_16,iPr_def_16),
inference(superposition,[status(thm)],[c_150086,c_2899]) ).
tcf(c_151338,plain,
multiply(sk_c7,multiply(iPr_def_16,sk_c8)) = sk_c8,
inference(light_normalisation,[status(thm)],[c_151337,c_144639]) ).
tcf(c_151339,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,sk_c8),X0) = multiply(iPr_def_16,multiply(sk_c8,X0)),
inference(light_normalisation,[status(thm)],[c_151335,c_150106]) ).
tcf(c_151348,plain,
multiply(sk_c8,sk_c7) = iPr_def_16,
inference(demodulation,[status(thm)],[c_150088,c_17582]) ).
tcf(c_151353,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_679,c_151348]) ).
tcf(c_151354,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_669,c_151348]) ).
tcf(c_151355,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_659,c_151348]) ).
tcf(c_151356,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_649,c_151348]) ).
tcf(c_151357,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22372,c_151348]) ).
tcf(c_151358,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22371,c_151348]) ).
tcf(c_151359,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22370,c_151348]) ).
tcf(c_151360,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22369,c_151348]) ).
tcf(c_151361,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22368,c_151348]) ).
tcf(c_151362,plain,
multiply(inverse(sk_c8),iPr_def_16) = sk_c7,
inference(superposition,[status(thm)],[c_151348,c_16658]) ).
tcf(c_151364,plain,
multiply(sk_c6,iPr_def_16) = multiply(iPr_def_20,sk_c7),
inference(superposition,[status(thm)],[c_151348,c_144911]) ).
tcf(c_151365,plain,
multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c7),
inference(superposition,[status(thm)],[c_151348,c_2899]) ).
tcf(c_151462,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_679,c_151362]) ).
tcf(c_151463,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_669,c_151362]) ).
tcf(c_151464,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_659,c_151362]) ).
tcf(c_151465,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_649,c_151362]) ).
tcf(c_151466,plain,
multiply(inverse(inverse(sk_c8)),sk_c7) = iPr_def_16,
inference(superposition,[status(thm)],[c_151362,c_16658]) ).
tcf(c_151467,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_151362,c_105]) ).
tcf(c_151468,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_151465,c_24629,c_151364]) ).
tcf(c_151471,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c7) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_151464,c_24629,c_151364]) ).
tcf(c_151474,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c7) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_151463,c_24629,c_151364]) ).
tcf(c_151477,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c7) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_151462,c_24629,c_151364]) ).
tcf(c_151521,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_144646,c_151364]) ).
tcf(c_151523,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_678,c_151364]) ).
tcf(c_151524,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_668,c_151364]) ).
tcf(c_151525,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_658,c_151364]) ).
tcf(c_151526,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_648,c_151364]) ).
tcf(c_151527,plain,
multiply(inverse(sk_c6),multiply(iPr_def_20,sk_c7)) = iPr_def_16,
inference(superposition,[status(thm)],[c_151364,c_16658]) ).
tcf(c_151528,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c7),X0) = multiply(sk_c6,multiply(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_151364,c_105]) ).
tcf(c_151529,plain,
multiply(iPr_def_18,multiply(iPr_def_20,sk_c7)) = iPr_def_16,
inference(superposition,[status(thm)],[c_151364,c_2916]) ).
tcf(c_151531,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151526,c_144639]) ).
tcf(c_151534,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151525,c_144639]) ).
tcf(c_151537,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151524,c_144639]) ).
tcf(c_151540,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151523,c_144639]) ).
tcf(c_151543,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151521,c_144639]) ).
tcf(c_151609,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(sk_c7,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_151353,c_105]) ).
tcf(c_151610,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c7) ) ),
inference(superposition,[status(thm)],[c_151353,c_8170]) ).
tcf(c_151611,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c7) ) ),
inference(superposition,[status(thm)],[c_151353,c_8146]) ).
tcf(c_151612,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151353,c_23873]) ).
tcf(c_151629,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(sk_c7,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_151354,c_105]) ).
tcf(c_151630,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c7) ) ),
inference(superposition,[status(thm)],[c_151354,c_8170]) ).
tcf(c_151631,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c7) ) ),
inference(superposition,[status(thm)],[c_151354,c_8146]) ).
tcf(c_151632,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151354,c_23873]) ).
tcf(c_151649,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(sk_c7,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_151355,c_105]) ).
tcf(c_151650,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c7) ) ),
inference(superposition,[status(thm)],[c_151355,c_8170]) ).
tcf(c_151651,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c7) ) ),
inference(superposition,[status(thm)],[c_151355,c_8146]) ).
tcf(c_151652,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151355,c_23873]) ).
tcf(c_151669,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c7,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_151356,c_105]) ).
tcf(c_151670,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c7) ) ),
inference(superposition,[status(thm)],[c_151356,c_8170]) ).
tcf(c_151672,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151356,c_23873]) ).
tcf(c_151687,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_151330,c_16658]) ).
tcf(c_151688,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(multiply(iPr_def_16,iPr_def_18),X0) = multiply(iPr_def_18,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_151330,c_105]) ).
tcf(c_151694,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_151330,c_8170]) ).
tcf(c_151695,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_151330,c_8146]) ).
tcf(c_151696,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_151330,c_23873]) ).
tcf(c_151702,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151695,c_144639]) ).
tcf(c_151706,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151694,c_144639]) ).
tcf(c_151967,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_151331,c_16658]) ).
tcf(c_151968,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(multiply(iPr_def_16,iPr_def_18),X0) = multiply(iPr_def_18,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_151331,c_105]) ).
tcf(c_151974,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_151331,c_8170]) ).
tcf(c_151975,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_151331,c_8146]) ).
tcf(c_151976,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_151331,c_23873]) ).
tcf(c_151982,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151975,c_144639]) ).
tcf(c_151986,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151974,c_144639]) ).
tcf(c_152000,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_151332,c_16658]) ).
tcf(c_152001,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(multiply(iPr_def_16,iPr_def_18),X0) = multiply(iPr_def_18,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_151332,c_105]) ).
tcf(c_152007,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_151332,c_8170]) ).
tcf(c_152008,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_151332,c_8146]) ).
tcf(c_152009,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_151332,c_23873]) ).
tcf(c_152013,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_152008,c_144639]) ).
tcf(c_152018,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_152007,c_144639]) ).
tcf(c_152032,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_151333,c_16658]) ).
tcf(c_152033,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_16,iPr_def_18),X0) = multiply(iPr_def_18,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_151333,c_105]) ).
tcf(c_152039,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_151333,c_8170]) ).
tcf(c_152041,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_151333,c_23873]) ).
tcf(c_152045,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,iPr_def_18)) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_152039,c_144639]) ).
tcf(c_152075,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_146350]) ).
tcf(c_152076,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_146350]) ).
tcf(c_152077,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144678,c_146350]) ).
tcf(c_152078,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_143572,c_146350]) ).
tcf(c_152105,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_687,c_146350]) ).
tcf(c_152106,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_146350]) ).
tcf(c_152107,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_146350]) ).
tcf(c_152108,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_146350]) ).
tcf(c_152109,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_677,c_146350]) ).
tcf(c_152110,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_676,c_146350]) ).
tcf(c_152111,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_674,c_146350]) ).
tcf(c_152112,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_146350]) ).
tcf(c_152113,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_146350]) ).
tcf(c_152114,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_146350]) ).
tcf(c_152115,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_146350]) ).
tcf(c_152116,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_661,c_146350]) ).
tcf(c_152119,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_146350,c_16658]) ).
tcf(c_152121,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146350,c_646]) ).
tcf(c_152123,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_146350,c_7950]) ).
tcf(c_152126,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_146350,c_28930]) ).
tcf(c_152127,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_146350,c_28791]) ).
tcf(c_152128,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_17,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_146350,c_7304]) ).
tcf(c_152336,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136089,c_146353]) ).
tcf(c_152337,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136088,c_146353]) ).
tcf(c_152341,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_146353]) ).
tcf(c_152345,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144678,c_146353]) ).
tcf(c_152346,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_143572,c_146353]) ).
tcf(c_152373,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_687,c_146353]) ).
tcf(c_152374,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_686,c_146353]) ).
tcf(c_152375,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_684,c_146353]) ).
tcf(c_152376,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_681,c_146353]) ).
tcf(c_152377,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_677,c_146353]) ).
tcf(c_152378,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_676,c_146353]) ).
tcf(c_152379,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_674,c_146353]) ).
tcf(c_152380,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_146353]) ).
tcf(c_152381,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_667,c_146353]) ).
tcf(c_152382,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_666,c_146353]) ).
tcf(c_152383,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_146353]) ).
tcf(c_152384,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_661,c_146353]) ).
tcf(c_152387,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_146353,c_16658]) ).
tcf(c_152389,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_28 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_146353,c_646]) ).
tcf(c_152390,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_146353,c_7323]) ).
tcf(c_152685,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144678,c_147601]) ).
tcf(c_152713,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_147601]) ).
tcf(c_152714,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_686,c_147601]) ).
tcf(c_152715,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_684,c_147601]) ).
tcf(c_152716,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_147601]) ).
tcf(c_152717,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_677,c_147601]) ).
tcf(c_152718,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_676,c_147601]) ).
tcf(c_152719,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_674,c_147601]) ).
tcf(c_152720,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_147601]) ).
tcf(c_152721,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_147601]) ).
tcf(c_152722,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_666,c_147601]) ).
tcf(c_152723,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_147601]) ).
tcf(c_152724,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_661,c_147601]) ).
tcf(c_152727,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_147601,c_16658]) ).
tcf(c_152729,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_20 )
| ( inverse(iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_147601,c_646]) ).
tcf(c_152730,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,sk_c11) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_147601,c_144284]) ).
tcf(c_152744,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,sk_c11) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_152730,c_144146]) ).
tcf(c_152894,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147517,c_136027]) ).
tcf(c_152895,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_146262,c_136027]) ).
tcf(c_152896,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144290,c_136027]) ).
tcf(c_152897,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_136027]) ).
tcf(c_152898,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45403,c_136027]) ).
tcf(c_152901,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136027,c_643]) ).
tcf(c_152904,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136027,c_28403]) ).
tcf(c_152905,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136027,c_28401]) ).
tcf(c_152906,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136027,c_28400]) ).
tcf(c_152907,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136027,c_28394]) ).
tcf(c_152908,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136027,c_28392]) ).
tcf(c_152924,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_152898,c_29043]) ).
tcf(c_152928,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_152897,c_29043]) ).
tcf(c_152952,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_147523,c_136055]) ).
tcf(c_152953,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_146269,c_136055]) ).
tcf(c_152956,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_136055]) ).
tcf(c_152957,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_136055]) ).
tcf(c_152965,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136055,c_643]) ).
tcf(c_152966,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_152957,c_29043]) ).
tcf(c_152970,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_152956,c_29043]) ).
tcf(c_153077,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_144678,c_147604]) ).
tcf(c_153105,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_687,c_147604]) ).
tcf(c_153106,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_686,c_147604]) ).
tcf(c_153107,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_684,c_147604]) ).
tcf(c_153108,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_681,c_147604]) ).
tcf(c_153109,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_677,c_147604]) ).
tcf(c_153110,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_676,c_147604]) ).
tcf(c_153111,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_674,c_147604]) ).
tcf(c_153112,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_671,c_147604]) ).
tcf(c_153113,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_667,c_147604]) ).
tcf(c_153114,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_666,c_147604]) ).
tcf(c_153115,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_664,c_147604]) ).
tcf(c_153116,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_661,c_147604]) ).
tcf(c_153119,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_147604,c_16658]) ).
tcf(c_153121,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_24 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_147604,c_646]) ).
tcf(c_153125,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_147604,c_7628]) ).
tcf(c_153183,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48540,c_147607]) ).
tcf(c_153185,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_144678,c_147607]) ).
tcf(c_153213,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_687,c_147607]) ).
tcf(c_153214,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_147607]) ).
tcf(c_153215,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_147607]) ).
tcf(c_153216,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_147607]) ).
tcf(c_153217,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_677,c_147607]) ).
tcf(c_153218,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_676,c_147607]) ).
tcf(c_153219,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_674,c_147607]) ).
tcf(c_153220,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_147607]) ).
tcf(c_153221,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_147607]) ).
tcf(c_153222,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_147607]) ).
tcf(c_153223,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_147607]) ).
tcf(c_153224,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_661,c_147607]) ).
tcf(c_153227,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_147607,c_16658]) ).
tcf(c_153229,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_147607,c_646]) ).
tcf(c_153231,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_27) = multiply(iPr_def_15,sk_c11) ) ),
inference(superposition,[status(thm)],[c_147607,c_7950]) ).
tcf(c_153234,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_147607,c_28930]) ).
tcf(c_153235,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_147607,c_28791]) ).
tcf(c_153236,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_17,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_147607,c_7304]) ).
tcf(c_153356,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136089,c_147610]) ).
tcf(c_153360,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26837,c_147610]) ).
tcf(c_153361,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26833,c_147610]) ).
tcf(c_153365,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_144678,c_147610]) ).
tcf(c_153393,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_687,c_147610]) ).
tcf(c_153394,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_686,c_147610]) ).
tcf(c_153395,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_684,c_147610]) ).
tcf(c_153396,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_681,c_147610]) ).
tcf(c_153397,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_677,c_147610]) ).
tcf(c_153398,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_676,c_147610]) ).
tcf(c_153399,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_674,c_147610]) ).
tcf(c_153400,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_147610]) ).
tcf(c_153401,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_667,c_147610]) ).
tcf(c_153402,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_666,c_147610]) ).
tcf(c_153403,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_147610]) ).
tcf(c_153404,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_661,c_147610]) ).
tcf(c_153407,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_147610,c_16658]) ).
tcf(c_153409,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_28 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_147610,c_646]) ).
tcf(c_153410,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_29,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_147610,c_7323]) ).
tcf(c_153510,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_18) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_22372,c_151531]) ).
tcf(c_153515,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151531,c_16658]) ).
tcf(c_153516,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_151531,c_105]) ).
tcf(c_153517,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,sk_c7) = multiply(iPr_def_18,sk_c8) ) ),
inference(superposition,[status(thm)],[c_151531,c_144284]) ).
tcf(c_153518,plain,
( ( sk_c8 = sk_c7 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_151531,c_147138]) ).
tcf(c_153519,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c8 = sk_c7 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_151531,c_136065]) ).
tcf(c_153520,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c8 = sk_c7 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_151531,c_136061]) ).
tcf(c_153521,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c8 = sk_c7 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_151531,c_136060]) ).
tcf(c_153522,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,sk_c8) = multiply(iPr_def_15,sk_c7) ) ),
inference(superposition,[status(thm)],[c_151531,c_7548]) ).
tcf(c_153572,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_146269,c_136056]) ).
tcf(c_153575,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_46742,c_136056]) ).
tcf(c_153576,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( inverse(iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_44750,c_136056]) ).
tcf(c_153584,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136056,c_643]) ).
tcf(c_153585,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_153576,c_29043]) ).
tcf(c_153613,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_20) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_144290,c_136057]) ).
tcf(c_153618,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136057,c_643]) ).
tcf(c_153619,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136057,c_136027]) ).
tcf(c_153620,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_136057,c_34532]) ).
tcf(c_153621,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_136057,c_34394]) ).
tcf(c_153622,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136057,c_29153]) ).
tcf(c_153623,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136057,c_28998]) ).
tcf(c_153624,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136057,c_28928]) ).
tcf(c_153625,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136057,c_28789]) ).
tcf(c_153708,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( inverse(iPr_def_20) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_144290,c_136058]) ).
tcf(c_153713,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136058,c_643]) ).
tcf(c_153714,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136058,c_136027]) ).
tcf(c_153716,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c1 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_136058,c_34394]) ).
tcf(c_153718,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136058,c_28998]) ).
tcf(c_153719,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136058,c_28928]) ).
tcf(c_153720,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136058,c_28789]) ).
tcf(c_153827,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_136070,c_643]) ).
tcf(c_153855,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_18) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_22371,c_151534]) ).
tcf(c_153859,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151534,c_16658]) ).
tcf(c_153860,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_151534,c_105]) ).
tcf(c_153861,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,sk_c7) = multiply(iPr_def_18,sk_c8) ) ),
inference(superposition,[status(thm)],[c_151534,c_144284]) ).
tcf(c_153862,plain,
( ( sk_c8 = sk_c7 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_151534,c_147138]) ).
tcf(c_153887,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_18) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_22370,c_151537]) ).
tcf(c_153890,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151537,c_16658]) ).
tcf(c_153891,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_151537,c_105]) ).
tcf(c_153892,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,sk_c7) = multiply(iPr_def_18,sk_c8) ) ),
inference(superposition,[status(thm)],[c_151537,c_144284]) ).
tcf(c_153893,plain,
( ( sk_c8 = sk_c7 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_151537,c_147138]) ).
tcf(c_153894,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c8 = sk_c7 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_151537,c_136065]) ).
tcf(c_153895,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c8 = sk_c7 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_151537,c_136061]) ).
tcf(c_153896,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c8 = sk_c7 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_151537,c_136060]) ).
tcf(c_153953,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_18) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_22369,c_151540]) ).
tcf(c_153955,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151540,c_16658]) ).
tcf(c_153956,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_151540,c_105]) ).
tcf(c_153957,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,sk_c7) = multiply(iPr_def_18,sk_c8) ) ),
inference(superposition,[status(thm)],[c_151540,c_144284]) ).
tcf(c_153958,plain,
( ( sk_c8 = sk_c7 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_151540,c_147138]) ).
tcf(c_153959,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c8 = sk_c7 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_151540,c_136065]) ).
tcf(c_153960,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c8 = sk_c7 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_151540,c_136061]) ).
tcf(c_153961,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c8 = sk_c7 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_151540,c_136060]) ).
tcf(c_154023,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_679,c_151467]) ).
tcf(c_154024,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_669,c_151467]) ).
tcf(c_154025,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_659,c_151467]) ).
tcf(c_154026,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_649,c_151467]) ).
tcf(c_154027,plain,
multiply(inverse(sk_c8),sk_c8) = multiply(sk_c7,iPr_def_16),
inference(superposition,[status(thm)],[c_144639,c_151467]) ).
tcf(c_154028,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(inverse(sk_c8),X0),
inference(superposition,[status(thm)],[c_144640,c_151467]) ).
tcf(c_154029,plain,
multiply(inverse(sk_c8),identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm)],[c_144648,c_151467]) ).
tcf(c_154030,plain,
multiply(inverse(sk_c8),iPr_def_16) = multiply(sk_c7,identity),
inference(superposition,[status(thm)],[c_17582,c_151467]) ).
tcf(c_154031,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(sk_c8,X0)) = multiply(sk_c7,multiply(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_144621,c_151467]) ).
tcf(c_154032,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_145079,c_151467]) ).
tcf(c_154033,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_145048,c_151467]) ).
tcf(c_154034,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_145014,c_151467]) ).
tcf(c_154035,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_144977,c_151467]) ).
tcf(c_154036,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c8),identity) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_23948,c_151467]) ).
tcf(c_154037,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c8),identity) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_23946,c_151467]) ).
tcf(c_154038,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c8),identity) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_23944,c_151467]) ).
tcf(c_154039,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c8),identity) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_23942,c_151467]) ).
tcf(c_154040,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(sk_c8),identity) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_23940,c_151467]) ).
tcf(c_154041,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(sk_c7,sk_c8) ) ),
inference(superposition,[status(thm)],[c_144901,c_151467]) ).
tcf(c_154042,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(sk_c7,sk_c8) ) ),
inference(superposition,[status(thm)],[c_144900,c_151467]) ).
tcf(c_154043,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(sk_c7,sk_c8) ) ),
inference(superposition,[status(thm)],[c_144899,c_151467]) ).
tcf(c_154044,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(sk_c7,sk_c8) ) ),
inference(superposition,[status(thm)],[c_144898,c_151467]) ).
tcf(c_154045,plain,
! [X0: $i] : multiply(inverse(inverse(sk_c8)),multiply(sk_c7,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_151467,c_16658]) ).
tcf(c_154046,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c8),multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(sk_c7,X0),X1),
inference(superposition,[status(thm)],[c_151467,c_105]) ).
tcf(c_154048,plain,
multiply(inverse(sk_c8),sk_c8) = identity,
inference(light_normalisation,[status(thm)],[c_154027,c_144618]) ).
tcf(c_154049,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_154044,c_16680,c_22402]) ).
tcf(c_154052,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_154043,c_16680,c_22402]) ).
tcf(c_154055,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_154042,c_16680,c_22402]) ).
tcf(c_154058,plain,
( ( sk_c10 = iPr_def_17 )
| ( sk_c10 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_154041,c_16680,c_22402]) ).
tcf(c_154071,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_18) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_154035,c_16680]) ).
tcf(c_154074,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_18) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_154034,c_16680]) ).
tcf(c_154077,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_18) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_154033,c_16680]) ).
tcf(c_154080,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_154032,c_16680]) ).
tcf(c_154083,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_154031,c_144616]) ).
tcf(c_154084,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c8),multiply(multiply(iPr_def_16,X0),X1)) = multiply(sk_c7,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_154046,c_22224,c_144538,c_144617]) ).
tcf(c_154085,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_154026,c_24629]) ).
tcf(c_154088,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_154025,c_24629]) ).
tcf(c_154091,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_154024,c_24629]) ).
tcf(c_154094,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_154023,c_24629]) ).
tcf(c_154192,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c8) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_153862,c_151534]) ).
tcf(c_154193,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c8) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_153862,c_151531]) ).
tcf(c_154199,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_153862,c_144616]) ).
tcf(c_154200,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_153862,c_144640]) ).
tcf(c_154202,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_153862,c_144618]) ).
tcf(c_154203,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_153862,c_144651]) ).
tcf(c_154204,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_153862,c_8170]) ).
tcf(c_154205,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_153862,c_8146]) ).
tcf(c_154212,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_20) = multiply(iPr_def_16,sk_c10) ) ),
inference(superposition,[status(thm)],[c_153862,c_13432]) ).
tcf(c_154213,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_153862,c_2899]) ).
tcf(c_154218,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_153862,c_628]) ).
tcf(c_154223,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c8) = identity ) ),
inference(light_normalisation,[status(thm)],[c_154202,c_150086]) ).
tcf(c_154336,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154049,c_147610]) ).
tcf(c_154337,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154049,c_147607]) ).
tcf(c_154338,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154049,c_147604]) ).
tcf(c_154339,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154049,c_147601]) ).
tcf(c_154340,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_147591]) ).
tcf(c_154341,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154049,c_146353]) ).
tcf(c_154342,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154049,c_146350]) ).
tcf(c_154343,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154049,c_146347]) ).
tcf(c_154344,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154049,c_146344]) ).
tcf(c_154345,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_146334]) ).
tcf(c_154346,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_136068]) ).
tcf(c_154349,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_136039]) ).
tcf(c_154350,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154049,c_136034]) ).
tcf(c_154351,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154049,c_136033]) ).
tcf(c_154352,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154049,c_136032]) ).
tcf(c_154353,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154049,c_136029]) ).
tcf(c_154356,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_46753]) ).
tcf(c_154357,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_44762]) ).
tcf(c_154359,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_154049,c_3771]) ).
tcf(c_154360,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_154049,c_36104]) ).
tcf(c_154361,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_154049,c_35440]) ).
tcf(c_154367,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_18905]) ).
tcf(c_154368,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154049,c_25664]) ).
tcf(c_154369,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_18306]) ).
tcf(c_154370,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154049,c_25578]) ).
tcf(c_154371,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154049,c_25067]) ).
tcf(c_154372,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_7148]) ).
tcf(c_154373,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_7016]) ).
tcf(c_154375,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_6460]) ).
tcf(c_154376,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_6316]) ).
tcf(c_154377,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_5162]) ).
tcf(c_154378,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_4849]) ).
tcf(c_154379,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_3310]) ).
tcf(c_154380,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_3252]) ).
tcf(c_154384,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_154049,c_2895]) ).
tcf(c_154385,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_154049,c_2894]) ).
tcf(c_154394,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154049,c_2167]) ).
tcf(c_154395,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154049,c_2162]) ).
tcf(c_154396,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154049,c_1883]) ).
tcf(c_154397,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154049,c_1877]) ).
tcf(c_154398,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154049,c_1644]) ).
tcf(c_154400,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154049,c_1446]) ).
tcf(c_154401,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_154049,c_646]) ).
tcf(c_154409,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_154049,c_638]) ).
tcf(c_154412,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154049,c_627]) ).
tcf(c_154541,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_154359,c_641,c_28387]) ).
tcf(c_154923,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154052,c_154049]) ).
tcf(c_154924,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154052,c_147610]) ).
tcf(c_154925,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154052,c_147607]) ).
tcf(c_154926,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154052,c_147604]) ).
tcf(c_154927,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154052,c_147601]) ).
tcf(c_154928,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_147591]) ).
tcf(c_154929,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154052,c_146353]) ).
tcf(c_154930,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154052,c_146350]) ).
tcf(c_154931,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154052,c_146347]) ).
tcf(c_154932,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154052,c_146344]) ).
tcf(c_154933,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_146334]) ).
tcf(c_154934,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_136068]) ).
tcf(c_154937,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_136039]) ).
tcf(c_154938,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154052,c_136034]) ).
tcf(c_154939,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154052,c_136033]) ).
tcf(c_154940,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154052,c_136032]) ).
tcf(c_154941,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154052,c_136029]) ).
tcf(c_154944,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_46753]) ).
tcf(c_154945,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_44762]) ).
tcf(c_154948,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154052,c_36104]) ).
tcf(c_154949,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154052,c_35440]) ).
tcf(c_154955,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_18905]) ).
tcf(c_154956,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154052,c_25664]) ).
tcf(c_154957,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_18306]) ).
tcf(c_154958,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154052,c_25578]) ).
tcf(c_154959,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154052,c_25067]) ).
tcf(c_154960,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_7148]) ).
tcf(c_154963,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_6460]) ).
tcf(c_154965,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_5162]) ).
tcf(c_154966,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_4849]) ).
tcf(c_154967,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_3310]) ).
tcf(c_154968,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_3252]) ).
tcf(c_154973,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_154052,c_2895]) ).
tcf(c_154974,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_154052,c_2894]) ).
tcf(c_154982,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154052,c_2167]) ).
tcf(c_154983,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154052,c_2162]) ).
tcf(c_154984,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154052,c_1883]) ).
tcf(c_154985,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154052,c_1877]) ).
tcf(c_154986,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154052,c_1644]) ).
tcf(c_154988,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154052,c_1446]) ).
tcf(c_154989,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_154052,c_646]) ).
tcf(c_154997,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_154052,c_638]) ).
tcf(c_155000,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154052,c_627]) ).
tcf(c_155452,plain,
! [X0: $i] :
( ( inverse(sk_c3) = X0 )
| ( X0 != sk_c11 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_142374]) ).
tcf(c_155453,plain,
( ( inverse(sk_c3) = sk_c10 )
| ( sk_c10 != sk_c11 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_155452]) ).
tcf(c_155564,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_154052]) ).
tcf(c_155565,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_154049]) ).
tcf(c_155566,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154055,c_147610]) ).
tcf(c_155567,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154055,c_147607]) ).
tcf(c_155568,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154055,c_147604]) ).
tcf(c_155569,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154055,c_147601]) ).
tcf(c_155570,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_147591]) ).
tcf(c_155571,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154055,c_146353]) ).
tcf(c_155572,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154055,c_146350]) ).
tcf(c_155573,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154055,c_146347]) ).
tcf(c_155574,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154055,c_146344]) ).
tcf(c_155575,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_146334]) ).
tcf(c_155576,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_136068]) ).
tcf(c_155577,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_136039]) ).
tcf(c_155578,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154055,c_136034]) ).
tcf(c_155579,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154055,c_136033]) ).
tcf(c_155580,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154055,c_136032]) ).
tcf(c_155581,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154055,c_136029]) ).
tcf(c_155584,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_46753]) ).
tcf(c_155585,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_44762]) ).
tcf(c_155588,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154055,c_36104]) ).
tcf(c_155589,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154055,c_35440]) ).
tcf(c_155595,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_18905]) ).
tcf(c_155596,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_25664]) ).
tcf(c_155597,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_18306]) ).
tcf(c_155598,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_25578]) ).
tcf(c_155599,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_25067]) ).
tcf(c_155607,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_3310]) ).
tcf(c_155608,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_3252]) ).
tcf(c_155616,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_154055,c_2895]) ).
tcf(c_155617,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_154055,c_2894]) ).
tcf(c_155622,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_2167]) ).
tcf(c_155623,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_2162]) ).
tcf(c_155624,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_1883]) ).
tcf(c_155625,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_1877]) ).
tcf(c_155626,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_1644]) ).
tcf(c_155628,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154055,c_1446]) ).
tcf(c_155629,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_154055,c_646]) ).
tcf(c_155638,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_154055,c_638]) ).
tcf(c_155640,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154055,c_627]) ).
tcf(c_155681,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_155608,c_7301]) ).
tcf(c_155685,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_155607,c_7301]) ).
tcf(c_155689,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_155597,c_7301]) ).
tcf(c_155693,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_155595,c_7301]) ).
tcf(c_155718,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_155576,c_7301]) ).
tcf(c_156071,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_151005,c_158,c_704,c_709,c_629,c_632,c_4190,c_4191,c_4192,c_8676,c_8755,c_9085,c_28696,c_37822,c_45689,c_49143,c_49797,c_49845,c_54766,c_54806,c_55675,c_101795,c_102753,c_105661,c_105662,c_105934,c_106135,c_106145,c_106677,c_107141,c_107163,c_107164,c_108446,c_111917,c_113324,c_116000,c_116001,c_118622,c_124140,c_133669,c_143645,c_144290,c_146262]) ).
tcf(c_156094,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_144782]) ).
tcf(c_156095,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_143713]) ).
tcf(c_156096,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156071,c_144788]) ).
tcf(c_156099,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_156071,c_146659]) ).
tcf(c_156100,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_156071,c_146658]) ).
tcf(c_156101,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156071,c_143719]) ).
tcf(c_156103,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_136079]) ).
tcf(c_156104,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_136077]) ).
tcf(c_156106,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_136066]) ).
tcf(c_156109,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_156071,c_50824]) ).
tcf(c_156110,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_156071,c_50783]) ).
tcf(c_156112,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_156071,c_46612]) ).
tcf(c_156113,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156071,c_55675]) ).
tcf(c_156114,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_156071,c_46544]) ).
tcf(c_156115,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_156071,c_35087]) ).
tcf(c_156116,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_156071,c_7950]) ).
tcf(c_156118,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_156071,c_35014]) ).
tcf(c_156119,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_156071,c_34531]) ).
tcf(c_156120,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156071,c_44501]) ).
tcf(c_156121,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_156071,c_34393]) ).
tcf(c_156125,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_156071,c_2792]) ).
tcf(c_156126,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_156071,c_3768]) ).
tcf(c_156127,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_26 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_156071,c_35960]) ).
tcf(c_156139,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_156071,c_16676]) ).
tcf(c_156144,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_156071,c_2901]) ).
tcf(c_156145,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_156071,c_2900]) ).
tcf(c_156146,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_156071,c_2898]) ).
tcf(c_156147,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_156071,c_2896]) ).
tcf(c_156148,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_156071,c_2894]) ).
tcf(c_156150,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_2173]) ).
tcf(c_156151,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_2077]) ).
tcf(c_156152,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_1885]) ).
tcf(c_156154,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_156071,c_1798]) ).
tcf(c_156156,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_1650]) ).
tcf(c_156157,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_1586]) ).
tcf(c_156158,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_1448]) ).
tcf(c_156159,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_156071,c_1389]) ).
tcf(c_156161,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_1305]) ).
tcf(c_156162,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_1272]) ).
tcf(c_156165,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_1135]) ).
tcf(c_156171,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_156071,c_647]) ).
tcf(c_156172,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_156071,c_645]) ).
tcf(c_156173,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156071,c_1088]) ).
tcf(c_156174,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156071,c_1075]) ).
tcf(c_156175,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_156071,c_644]) ).
tcf(c_156176,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_156071,c_640]) ).
tcf(c_156177,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_156071,c_639]) ).
tcf(c_156178,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_156071,c_636]) ).
tcf(c_156179,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_156071,c_632]) ).
tcf(c_156180,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156071,c_627]) ).
tcf(c_156571,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_151006,c_158,c_704,c_709,c_629,c_632,c_4190,c_4191,c_4192,c_8676,c_8807,c_9027,c_28696,c_37832,c_45689,c_49143,c_49797,c_49845,c_54766,c_54806,c_55675,c_101796,c_102753,c_105661,c_105662,c_105934,c_106135,c_106145,c_106677,c_107141,c_107163,c_107164,c_108446,c_111917,c_113324,c_116000,c_116001,c_118622,c_124140,c_133669,c_143645,c_144290,c_146262]) ).
tcf(c_156618,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_156571,c_154052]) ).
tcf(c_156619,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_156571,c_154049]) ).
tcf(c_156620,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_156571,c_147610]) ).
tcf(c_156621,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_156571,c_147607]) ).
tcf(c_156622,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_156571,c_147604]) ).
tcf(c_156623,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_156571,c_147601]) ).
tcf(c_156624,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156571,c_147591]) ).
tcf(c_156625,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_156571,c_146353]) ).
tcf(c_156626,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_156571,c_146350]) ).
tcf(c_156627,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_156571,c_146347]) ).
tcf(c_156628,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_156571,c_146344]) ).
tcf(c_156629,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156571,c_146334]) ).
tcf(c_156630,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156571,c_136068]) ).
tcf(c_156632,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156571,c_143572]) ).
tcf(c_156633,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156571,c_136039]) ).
tcf(c_156634,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_156571,c_136034]) ).
tcf(c_156635,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_156571,c_136033]) ).
tcf(c_156636,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_156571,c_136032]) ).
tcf(c_156637,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_156571,c_136029]) ).
tcf(c_156638,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_156571,c_136100]) ).
tcf(c_156639,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_156571,c_136099]) ).
tcf(c_156641,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156571,c_46753]) ).
tcf(c_156642,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156571,c_44762]) ).
tcf(c_156644,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_25)) != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_156571,c_3771]) ).
tcf(c_156645,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_156571,c_36104]) ).
tcf(c_156646,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_156571,c_35440]) ).
tcf(c_156649,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_156571,c_13387]) ).
tcf(c_156651,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_156571,c_13385]) ).
tcf(c_156652,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156571,c_18905]) ).
tcf(c_156664,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156571,c_3310]) ).
tcf(c_156665,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156571,c_3252]) ).
tcf(c_156673,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_156571,c_2895]) ).
tcf(c_156674,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_156571,c_2894]) ).
tcf(c_156686,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_156571,c_646]) ).
tcf(c_156689,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_156571,c_684]) ).
tcf(c_156690,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_156571,c_681]) ).
tcf(c_156693,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_156571,c_674]) ).
tcf(c_156694,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_156571,c_671]) ).
tcf(c_156698,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156571,c_638]) ).
tcf(c_156700,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156571,c_627]) ).
tcf(c_156706,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_156698,c_18079]) ).
tcf(c_156749,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_156673,c_18082]) ).
tcf(c_156808,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_156644,c_637,c_18150]) ).
tcf(c_156883,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_156689,c_7132,c_94258,c_105700,c_105701,c_105869,c_114439,c_133794,c_143572,c_156571]) ).
tcf(c_156905,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156883,c_136080]) ).
tcf(c_156906,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156883,c_136079]) ).
tcf(c_156911,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_156883,c_8072]) ).
tcf(c_156912,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_156883,c_8065]) ).
tcf(c_156913,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_156883,c_50824]) ).
tcf(c_156914,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_156883,c_46612]) ).
tcf(c_156915,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_156883,c_49891]) ).
tcf(c_156916,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_156883,c_35087]) ).
tcf(c_156917,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_156883,c_35014]) ).
tcf(c_156918,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_156883,c_45909]) ).
tcf(c_156919,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_156883,c_27711]) ).
tcf(c_156920,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_25) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_156883,c_28387]) ).
tcf(c_156921,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_156883,c_27708]) ).
tcf(c_156926,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_156883,c_7323]) ).
tcf(c_156927,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156883,c_18772]) ).
tcf(c_156928,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156883,c_18747]) ).
tcf(c_156933,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156883,c_2077]) ).
tcf(c_156934,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156883,c_2073]) ).
tcf(c_156935,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_156883,c_1885]) ).
tcf(c_156936,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156883,c_1881]) ).
tcf(c_156938,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_156883,c_7001]) ).
tcf(c_156941,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_156883,c_7320]) ).
tcf(c_156942,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_156883,c_2915]) ).
tcf(c_156943,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_156883,c_1261]) ).
tcf(c_156948,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c3 = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_156920,c_18150]) ).
tcf(c_157441,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_151007,c_158,c_704,c_709,c_629,c_637,c_642,c_1562,c_2405,c_2544,c_4190,c_4191,c_4192,c_4408,c_4409,c_8676,c_8771,c_8969,c_9711,c_10820,c_16001,c_28696,c_44501,c_45689,c_49143,c_49797,c_49845,c_54766,c_54806,c_55675,c_90453,c_100035,c_101798,c_102370,c_102753,c_105661,c_105662,c_105734,c_106135,c_106145,c_106980,c_107141,c_107163,c_107164,c_108446,c_116001,c_118622,c_121079,c_133669,c_133774,c_143272,c_144290,c_146262,c_155453,c_156071,c_156571,c_156693]) ).
tcf(c_157465,plain,
iPr_def_23 = iPr_def_26,
inference(superposition,[status(thm)],[c_157441,c_156071]) ).
tcf(c_157554,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(demodulation,[status(thm)],[c_136058,c_157465]) ).
tcf(c_157555,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(demodulation,[status(thm)],[c_136056,c_157465]) ).
tcf(c_157556,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_144780,c_157465]) ).
tcf(c_157559,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_136080,c_157465]) ).
tcf(c_157560,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_136078,c_157465]) ).
tcf(c_157561,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_136067,c_157465]) ).
tcf(c_157563,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_136091,c_157465]) ).
tcf(c_157564,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_136088,c_157465]) ).
tcf(c_157565,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_136086,c_157465]) ).
tcf(c_157569,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(demodulation,[status(thm)],[c_33926,c_157465]) ).
tcf(c_157570,plain,
( ( identity = iPr_def_23 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_28928,c_157465]) ).
tcf(c_157571,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(demodulation,[status(thm)],[c_29661,c_157465]) ).
tcf(c_157572,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(demodulation,[status(thm)],[c_29642,c_157465]) ).
tcf(c_157573,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(demodulation,[status(thm)],[c_29623,c_157465]) ).
tcf(c_157574,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_28930,c_157465]) ).
tcf(c_157575,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(demodulation,[status(thm)],[c_28400,c_157465]) ).
tcf(c_157576,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(demodulation,[status(thm)],[c_28399,c_157465]) ).
tcf(c_157577,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_26855,c_157465]) ).
tcf(c_157578,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_26154,c_157465]) ).
tcf(c_157579,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_25329,c_157465]) ).
tcf(c_157580,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_18214,c_157465]) ).
tcf(c_157581,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_18199,c_157465]) ).
tcf(c_157582,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_18184,c_157465]) ).
tcf(c_157583,plain,
( ( identity = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_28695,c_157465]) ).
tcf(c_157584,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_18306,c_157465]) ).
tcf(c_157585,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_18304,c_157465]) ).
tcf(c_157586,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_18303,c_157465]) ).
tcf(c_157587,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_18301,c_157465]) ).
tcf(c_157588,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_18216,c_157465]) ).
tcf(c_157589,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_18201,c_157465]) ).
tcf(c_157590,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_18186,c_157465]) ).
tcf(c_157591,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(sk_c11,X0),
inference(demodulation,[status(thm)],[c_7633,c_157465]) ).
tcf(c_157596,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_18808,c_157465]) ).
tcf(c_157597,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_18772,c_157465]) ).
tcf(c_157602,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_18747,c_157465]) ).
tcf(c_157604,plain,
( ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_18105,c_157465]) ).
tcf(c_157605,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_18104,c_157465]) ).
tcf(c_157606,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_18103,c_157465]) ).
tcf(c_157607,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_18102,c_157465]) ).
tcf(c_157610,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_5587,c_157465]) ).
tcf(c_157612,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_5372,c_157465]) ).
tcf(c_157618,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_4320,c_157465]) ).
tcf(c_157621,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(iPr_def_23,X0),
inference(demodulation,[status(thm)],[c_2895,c_157465]) ).
tcf(c_157628,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_2169,c_157465]) ).
tcf(c_157629,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_2073,c_157465]) ).
tcf(c_157630,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1881,c_157465]) ).
tcf(c_157634,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1646,c_157465]) ).
tcf(c_157635,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1582,c_157465]) ).
tcf(c_157636,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1444,c_157465]) ).
tcf(c_157639,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1303,c_157465]) ).
tcf(c_157640,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1270,c_157465]) ).
tcf(c_157643,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1233,c_157465]) ).
tcf(c_157644,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1230,c_157465]) ).
tcf(c_157649,plain,
multiply(iPr_def_25,iPr_def_23) = sk_c11,
inference(demodulation,[status(thm)],[c_7630,c_157465]) ).
tcf(c_157657,plain,
multiply(sk_c3,sk_c11) = iPr_def_23,
inference(demodulation,[status(thm)],[c_638,c_157465]) ).
tcf(c_157715,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_157582,c_19276]) ).
tcf(c_157718,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_157581,c_19276]) ).
tcf(c_157721,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_157580,c_19276]) ).
tcf(c_157797,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_154218,c_16658]) ).
tcf(c_157799,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_16) = multiply(iPr_def_20,sk_c8) ) ),
inference(superposition,[status(thm)],[c_154218,c_144911]) ).
tcf(c_157802,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c8) = multiply(iPr_def_20,sk_c7) ) ),
inference(light_normalisation,[status(thm)],[c_157799,c_151364]) ).
tcf(c_157805,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_154409,c_157465]) ).
tcf(c_157812,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_136092,c_157805]) ).
tcf(c_157813,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_136087,c_157805]) ).
tcf(c_157814,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_49891,c_157805]) ).
tcf(c_157815,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26130,c_157805]) ).
tcf(c_157816,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26125,c_157805]) ).
tcf(c_157817,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25304,c_157805]) ).
tcf(c_157818,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25299,c_157805]) ).
tcf(c_157819,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6790,c_157805]) ).
tcf(c_157820,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6580,c_157805]) ).
tcf(c_157821,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(inverse(sk_c3),iPr_def_23) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_157805,c_16658]) ).
tcf(c_157822,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_157805,c_105]) ).
tcf(c_157823,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_157805,c_2920]) ).
tcf(c_157863,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_154412]) ).
tcf(c_157874,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_49891,c_154412]) ).
tcf(c_157881,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_154412,c_16658]) ).
tcf(c_157885,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_154412,c_2901]) ).
tcf(c_157886,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_154412,c_2900]) ).
tcf(c_157887,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_154412,c_2898]) ).
tcf(c_157888,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_154412,c_2896]) ).
tcf(c_157890,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_157888,c_12244]) ).
tcf(c_157893,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_157887,c_12854]) ).
tcf(c_157896,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_157886,c_13499]) ).
tcf(c_157899,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_157885,c_14259]) ).
tcf(c_157908,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_23) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_147584,c_157649]) ).
tcf(c_157909,plain,
multiply(inverse(iPr_def_25),sk_c11) = iPr_def_23,
inference(superposition,[status(thm)],[c_157649,c_16658]) ).
tcf(c_157911,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,sk_c11) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_157649,c_7796]) ).
tcf(c_157916,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_157911,c_627]) ).
tcf(c_157919,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_154055,c_157657]) ).
tcf(c_157920,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_154052,c_157657]) ).
tcf(c_157940,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2167,c_157657]) ).
tcf(c_157941,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2162,c_157657]) ).
tcf(c_157944,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1644,c_157657]) ).
tcf(c_157955,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_656,c_157657]) ).
tcf(c_157957,plain,
multiply(inverse(sk_c3),iPr_def_23) = sk_c11,
inference(superposition,[status(thm)],[c_157657,c_16658]) ).
tcf(c_157959,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_23 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_157657,c_646]) ).
tcf(c_157970,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_25 )
| ( sk_c10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_157959,c_637]) ).
tcf(c_157987,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154058,c_154412]) ).
tcf(c_158000,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154058,c_50824]) ).
tcf(c_158001,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154058,c_50783]) ).
tcf(c_158003,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154058,c_35087]) ).
tcf(c_158004,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_154058,c_7950]) ).
tcf(c_158006,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154058,c_34531]) ).
tcf(c_158008,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_154058,c_3968]) ).
tcf(c_158009,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_154058,c_3562]) ).
tcf(c_158010,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_154058,c_2792]) ).
tcf(c_158011,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_154058,c_3768]) ).
tcf(c_158012,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_154058,c_35960]) ).
tcf(c_158022,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_154058,c_16676]) ).
tcf(c_158027,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_154058,c_2901]) ).
tcf(c_158028,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_154058,c_2900]) ).
tcf(c_158029,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_154058,c_2898]) ).
tcf(c_158030,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_154058,c_2896]) ).
tcf(c_158031,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_154058,c_2894]) ).
tcf(c_158037,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154058,c_1650]) ).
tcf(c_158038,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154058,c_1586]) ).
tcf(c_158039,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154058,c_1448]) ).
tcf(c_158041,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154058,c_1305]) ).
tcf(c_158042,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154058,c_1272]) ).
tcf(c_158045,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154058,c_1135]) ).
tcf(c_158048,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154058,c_2072]) ).
tcf(c_158049,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154058,c_2067]) ).
tcf(c_158050,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154058,c_1581]) ).
tcf(c_158051,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_154058,c_647]) ).
tcf(c_158052,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_154058,c_645]) ).
tcf(c_158053,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_154058,c_644]) ).
tcf(c_158054,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154058,c_640]) ).
tcf(c_158055,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154058,c_639]) ).
tcf(c_158056,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154058,c_636]) ).
tcf(c_158057,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154058,c_632]) ).
tcf(c_158058,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154058,c_627]) ).
tcf(c_158066,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_158055,c_28669]) ).
tcf(c_158085,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_158045,c_7301]) ).
tcf(c_158089,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_158042,c_7301]) ).
tcf(c_158093,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_158041,c_7301]) ).
tcf(c_158114,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_158027,c_28672]) ).
tcf(c_158133,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c11 != sk_c2 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_158011,c_29043]) ).
tcf(c_158138,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_158010,c_629,c_29043]) ).
tcf(c_158143,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_158009,c_629,c_29043]) ).
tcf(c_158147,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_158008,c_629,c_29043]) ).
tcf(c_158151,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_158004,c_7304]) ).
tcf(c_158192,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_8753,c_18666,c_157465]) ).
tcf(c_158205,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_158192,c_647]) ).
tcf(c_158206,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_158192,c_645]) ).
tcf(c_158207,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_158192,c_644]) ).
tcf(c_158208,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_158192,c_16658]) ).
tcf(c_158209,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_158192,c_105]) ).
tcf(c_158210,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_158192,c_643]) ).
tcf(c_158211,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_158192,c_646]) ).
tcf(c_158213,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_158192,c_147604]) ).
tcf(c_158214,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_158192,c_136033]) ).
tcf(c_158274,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_158066,c_144788]) ).
tcf(c_158275,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_158066,c_146661]) ).
tcf(c_158276,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_158066,c_146660]) ).
tcf(c_158277,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_158066,c_146659]) ).
tcf(c_158278,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_158066,c_146658]) ).
tcf(c_158279,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_158066,c_8520]) ).
tcf(c_158282,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_158066,c_8351]) ).
tcf(c_158288,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_27 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_158066,c_59515]) ).
tcf(c_158290,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_16,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_158066,c_7950]) ).
tcf(c_158291,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_28 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_158066,c_46211]) ).
tcf(c_158293,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_158066,c_7796]) ).
tcf(c_158294,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_16)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158066,c_3968]) ).
tcf(c_158295,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_16)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158066,c_3562]) ).
tcf(c_158296,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_16)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_158066,c_2792]) ).
tcf(c_158297,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_158066,c_3768]) ).
tcf(c_158298,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( identity != iPr_def_16 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_158066,c_35960]) ).
tcf(c_158299,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_158066,c_7548]) ).
tcf(c_158300,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_26859]) ).
tcf(c_158301,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_26158]) ).
tcf(c_158302,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_25333]) ).
tcf(c_158307,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_6817]) ).
tcf(c_158308,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_6606]) ).
tcf(c_158309,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_158066,c_16676]) ).
tcf(c_158310,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_5591]) ).
tcf(c_158311,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_5376]) ).
tcf(c_158312,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_4990]) ).
tcf(c_158313,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_4324]) ).
tcf(c_158314,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_158066,c_2901]) ).
tcf(c_158315,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_158066,c_2900]) ).
tcf(c_158316,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_158066,c_2898]) ).
tcf(c_158317,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_16,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_158066,c_2896]) ).
tcf(c_158318,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_158066,c_2894]) ).
tcf(c_158319,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_2173]) ).
tcf(c_158320,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_2077]) ).
tcf(c_158321,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_1885]) ).
tcf(c_158323,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_158066,c_1798]) ).
tcf(c_158324,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_1650]) ).
tcf(c_158325,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_1586]) ).
tcf(c_158326,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_1448]) ).
tcf(c_158327,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_158066,c_1389]) ).
tcf(c_158328,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_1305]) ).
tcf(c_158329,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_1272]) ).
tcf(c_158330,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_158066,c_1196]) ).
tcf(c_158331,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_158066,c_1194]) ).
tcf(c_158332,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_1135]) ).
tcf(c_158333,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_1073]) ).
tcf(c_158334,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_1054]) ).
tcf(c_158335,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_158066,c_2072]) ).
tcf(c_158336,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_158066,c_2067]) ).
tcf(c_158337,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_158066,c_1581]) ).
tcf(c_158338,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_158066,c_647]) ).
tcf(c_158339,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_158066,c_645]) ).
tcf(c_158340,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_158066,c_1075]) ).
tcf(c_158341,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_158066,c_644]) ).
tcf(c_158342,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_158066,c_640]) ).
tcf(c_158343,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_158066,c_639]) ).
tcf(c_158344,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_158066,c_636]) ).
tcf(c_158345,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_158066,c_632]) ).
tcf(c_158346,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158066,c_627]) ).
tcf(c_158347,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_158066,c_654]) ).
tcf(c_158350,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_158345,c_150086]) ).
tcf(c_158359,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_158309,c_144617]) ).
tcf(c_158435,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_158316,c_150106]) ).
tcf(c_158485,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c11 != sk_c7 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_158297,c_144617]) ).
tcf(c_158493,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_16 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_158296,c_144651,c_144617]) ).
tcf(c_158498,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_158295,c_144651,c_144617]) ).
tcf(c_158502,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_158294,c_144651,c_144617]) ).
tcf(c_158553,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154058,c_155000]) ).
tcf(c_158557,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_155000]) ).
tcf(c_158566,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147523,c_155000]) ).
tcf(c_158572,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_155000,c_16658]) ).
tcf(c_158576,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_155000,c_2901]) ).
tcf(c_158577,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_155000,c_2900]) ).
tcf(c_158578,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_155000,c_2898]) ).
tcf(c_158579,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_155000,c_2896]) ).
tcf(c_158583,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_158579,c_12244]) ).
tcf(c_158586,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_158578,c_12854]) ).
tcf(c_158589,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_158577,c_13499]) ).
tcf(c_158592,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_158576,c_14259]) ).
tcf(c_158624,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_154923,c_154058]) ).
tcf(c_158628,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_154923,c_146661]) ).
tcf(c_158629,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_154923,c_146660]) ).
tcf(c_158630,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_154923,c_146659]) ).
tcf(c_158631,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_154923,c_146658]) ).
tcf(c_158632,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_154923,c_8520]) ).
tcf(c_158635,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_154923,c_8351]) ).
tcf(c_158637,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154923,c_136064]) ).
tcf(c_158638,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154923,c_136098]) ).
tcf(c_158646,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_154923,c_7796]) ).
tcf(c_158649,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_16)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_154923,c_2792]) ).
tcf(c_158650,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_154923,c_3768]) ).
tcf(c_158651,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_16 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_154923,c_35960]) ).
tcf(c_158652,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_154923,c_7548]) ).
tcf(c_158653,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_26859]) ).
tcf(c_158654,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_26158]) ).
tcf(c_158655,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_25333]) ).
tcf(c_158659,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154923,c_18691]) ).
tcf(c_158660,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_6817]) ).
tcf(c_158661,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_6606]) ).
tcf(c_158662,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_154923,c_16676]) ).
tcf(c_158663,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_5591]) ).
tcf(c_158664,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_5376]) ).
tcf(c_158665,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_4990]) ).
tcf(c_158666,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_4324]) ).
tcf(c_158667,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_154923,c_2901]) ).
tcf(c_158668,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_154923,c_2900]) ).
tcf(c_158669,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_154923,c_2898]) ).
tcf(c_158670,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_16,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_154923,c_2896]) ).
tcf(c_158671,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_154923,c_2894]) ).
tcf(c_158676,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154923,c_1798]) ).
tcf(c_158680,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154923,c_1389]) ).
tcf(c_158683,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154923,c_1196]) ).
tcf(c_158684,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154923,c_1194]) ).
tcf(c_158686,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_1073]) ).
tcf(c_158687,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_1054]) ).
tcf(c_158688,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_154923,c_2072]) ).
tcf(c_158689,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_154923,c_2067]) ).
tcf(c_158690,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_154923,c_1581]) ).
tcf(c_158691,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_154923,c_647]) ).
tcf(c_158692,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_154923,c_645]) ).
tcf(c_158694,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_154923,c_644]) ).
tcf(c_158695,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_154923,c_640]) ).
tcf(c_158696,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_154923,c_639]) ).
tcf(c_158697,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_154923,c_636]) ).
tcf(c_158698,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_154923,c_632]) ).
tcf(c_158699,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154923,c_627]) ).
tcf(c_158705,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_158698,c_150086]) ).
tcf(c_158720,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_158662,c_144617]) ).
tcf(c_158763,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_158669,c_150106]) ).
tcf(c_158804,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != sk_c7 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_158650,c_144617]) ).
tcf(c_158812,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_16 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_158649,c_144651,c_144617]) ).
tcf(c_158868,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_155564,c_154058]) ).
tcf(c_158872,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_155564,c_146661]) ).
tcf(c_158873,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_155564,c_146660]) ).
tcf(c_158874,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_155564,c_146659]) ).
tcf(c_158875,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_155564,c_146658]) ).
tcf(c_158876,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_155564,c_8520]) ).
tcf(c_158879,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_155564,c_8351]) ).
tcf(c_158881,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155564,c_136064]) ).
tcf(c_158882,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155564,c_136098]) ).
tcf(c_158890,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_155564,c_7796]) ).
tcf(c_158893,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_16)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_155564,c_2792]) ).
tcf(c_158894,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_155564,c_3768]) ).
tcf(c_158895,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( identity != iPr_def_16 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_155564,c_35960]) ).
tcf(c_158896,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_155564,c_7548]) ).
tcf(c_158897,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155564,c_26859]) ).
tcf(c_158903,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_155564,c_18691]) ).
tcf(c_158906,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_155564,c_16676]) ).
tcf(c_158909,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155564,c_4990]) ).
tcf(c_158910,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155564,c_4324]) ).
tcf(c_158911,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_155564,c_2901]) ).
tcf(c_158912,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_155564,c_2900]) ).
tcf(c_158913,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_155564,c_2898]) ).
tcf(c_158914,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_16,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_155564,c_2896]) ).
tcf(c_158915,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_155564,c_2894]) ).
tcf(c_158920,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155564,c_1798]) ).
tcf(c_158924,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155564,c_1389]) ).
tcf(c_158927,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155564,c_1196]) ).
tcf(c_158928,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155564,c_1194]) ).
tcf(c_158930,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155564,c_1073]) ).
tcf(c_158931,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155564,c_1054]) ).
tcf(c_158934,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_155564,c_1581]) ).
tcf(c_158935,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_155564,c_647]) ).
tcf(c_158936,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_155564,c_645]) ).
tcf(c_158938,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_155564,c_644]) ).
tcf(c_158939,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_155564,c_640]) ).
tcf(c_158940,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_155564,c_639]) ).
tcf(c_158941,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_155564,c_636]) ).
tcf(c_158942,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155564,c_632]) ).
tcf(c_158943,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155564,c_627]) ).
tcf(c_158949,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_158942,c_150086]) ).
tcf(c_158964,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_158906,c_144617]) ).
tcf(c_159001,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_158913,c_150106]) ).
tcf(c_159024,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != sk_c7 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_158894,c_144617]) ).
tcf(c_159032,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_16 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_158893,c_144651,c_144617]) ).
tcf(c_159570,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_155565,c_154058]) ).
tcf(c_159574,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_155565,c_146661]) ).
tcf(c_159575,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_155565,c_146660]) ).
tcf(c_159576,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_155565,c_146659]) ).
tcf(c_159577,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_155565,c_146658]) ).
tcf(c_159578,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_155565,c_8520]) ).
tcf(c_159581,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_155565,c_8351]) ).
tcf(c_159583,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155565,c_136064]) ).
tcf(c_159584,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155565,c_136098]) ).
tcf(c_159592,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_155565,c_7796]) ).
tcf(c_159595,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_16)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_155565,c_2792]) ).
tcf(c_159596,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_155565,c_3768]) ).
tcf(c_159597,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_16 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_155565,c_35960]) ).
tcf(c_159598,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_155565,c_7548]) ).
tcf(c_159601,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155565,c_25333]) ).
tcf(c_159605,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_155565,c_18691]) ).
tcf(c_159606,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155565,c_6817]) ).
tcf(c_159608,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_155565,c_16676]) ).
tcf(c_159609,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155565,c_5591]) ).
tcf(c_159613,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_155565,c_2901]) ).
tcf(c_159614,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_155565,c_2900]) ).
tcf(c_159615,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_155565,c_2898]) ).
tcf(c_159616,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_16,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_155565,c_2896]) ).
tcf(c_159617,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_155565,c_2894]) ).
tcf(c_159622,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155565,c_1798]) ).
tcf(c_159626,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155565,c_1389]) ).
tcf(c_159629,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155565,c_1196]) ).
tcf(c_159630,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155565,c_1194]) ).
tcf(c_159632,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155565,c_1073]) ).
tcf(c_159633,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155565,c_1054]) ).
tcf(c_159634,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_155565,c_2072]) ).
tcf(c_159637,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_155565,c_647]) ).
tcf(c_159638,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_155565,c_645]) ).
tcf(c_159640,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_155565,c_644]) ).
tcf(c_159641,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_155565,c_640]) ).
tcf(c_159642,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_155565,c_639]) ).
tcf(c_159643,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_155565,c_636]) ).
tcf(c_159644,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_155565,c_632]) ).
tcf(c_159645,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_155565,c_627]) ).
tcf(c_159651,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_159644,c_150086]) ).
tcf(c_159666,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_159608,c_144617]) ).
tcf(c_159703,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_159615,c_150106]) ).
tcf(c_159726,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != sk_c7 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_159596,c_144617]) ).
tcf(c_159734,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_16 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_159595,c_144651,c_144617]) ).
tcf(c_160059,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = multiply(X0,X1) )
| ( iPr_def_25 != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(X0,X1) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_124099]) ).
tcf(c_160060,plain,
( ( iPr_def_25 = multiply(sk_c10,sk_c10) )
| ( iPr_def_25 != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_160059]) ).
tcf(c_160096,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = multiply(X0,X1) )
| ( iPr_def_27 != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(X0,X1) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_124099]) ).
tcf(c_160097,plain,
( ( iPr_def_27 = multiply(sk_c10,sk_c10) )
| ( iPr_def_27 != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_160096]) ).
tcf(c_160272,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_158347,c_639]) ).
tcf(c_160289,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_160272,c_28669]) ).
tcf(c_160322,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_160289,c_136095]) ).
tcf(c_160323,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_160289,c_136094]) ).
tcf(c_160324,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_160289,c_136093]) ).
tcf(c_160325,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160289,c_136063]) ).
tcf(c_160328,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_160289,c_18690]) ).
tcf(c_160329,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_160289,c_18689]) ).
tcf(c_160330,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_160289,c_18688]) ).
tcf(c_160331,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_160289,c_17605]) ).
tcf(c_160332,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_160289,c_17582]) ).
tcf(c_160333,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_160289,c_103]) ).
tcf(c_160371,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_154058,c_155640]) ).
tcf(c_160375,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_59515,c_155640]) ).
tcf(c_160386,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_155640,c_16658]) ).
tcf(c_160390,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_155640,c_2901]) ).
tcf(c_160391,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_155640,c_2900]) ).
tcf(c_160392,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_155640,c_2898]) ).
tcf(c_160393,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_155640,c_2896]) ).
tcf(c_160394,plain,
( ( sk_c10 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_160371,c_7301]) ).
tcf(c_160398,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_160393,c_12244]) ).
tcf(c_160401,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_160392,c_12854]) ).
tcf(c_160404,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_160391,c_13499]) ).
tcf(c_160407,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_160390,c_14259]) ).
tcf(c_160435,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_8781,c_135870,c_157465]) ).
tcf(c_160442,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_136046,c_160435]) ).
tcf(c_160443,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_29155,c_160435]) ).
tcf(c_160444,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_28791,c_160435]) ).
tcf(c_160445,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = multiply(iPr_def_23,sk_c10) ) ),
inference(superposition,[status(thm)],[c_34531,c_160435]) ).
tcf(c_160446,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,sk_c10) = multiply(iPr_def_23,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_9270,c_160435]) ).
tcf(c_160447,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,identity) = multiply(iPr_def_23,sk_c1) ) ),
inference(superposition,[status(thm)],[c_9272,c_160435]) ).
tcf(c_160448,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = multiply(iPr_def_23,sk_c11) ) ),
inference(superposition,[status(thm)],[c_147607,c_160435]) ).
tcf(c_160449,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = multiply(iPr_def_23,sk_c11) ) ),
inference(superposition,[status(thm)],[c_136032,c_160435]) ).
tcf(c_160450,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,identity) = multiply(iPr_def_23,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_136012,c_160435]) ).
tcf(c_160451,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,identity) = multiply(iPr_def_23,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_34457,c_160435]) ).
tcf(c_160452,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,identity) = multiply(iPr_def_23,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_33816,c_160435]) ).
tcf(c_160453,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_160435]) ).
tcf(c_160454,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_147517,c_160435]) ).
tcf(c_160455,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_48540,c_160435]) ).
tcf(c_160456,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c3),multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_160435,c_16658]) ).
tcf(c_160457,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1) ) ),
inference(superposition,[status(thm)],[c_160435,c_105]) ).
tcf(c_160458,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_160435,c_2920]) ).
tcf(c_160535,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_157563,c_8065]) ).
tcf(c_160536,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157563,c_50824]) ).
tcf(c_160537,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_157563,c_49891]) ).
tcf(c_160538,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_157563,c_35087]) ).
tcf(c_160539,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157563,c_27711]) ).
tcf(c_160541,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_157563,c_27708]) ).
tcf(c_160544,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_157563,c_7323]) ).
tcf(c_160549,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_157563,c_7320]) ).
tcf(c_160550,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157563,c_2915]) ).
tcf(c_160551,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_157563,c_1261]) ).
tcf(c_160600,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(identity,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99832,c_158054]) ).
tcf(c_160601,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50765,c_158054]) ).
tcf(c_160604,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_158054,c_16658]) ).
tcf(c_160606,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_158054,c_2915]) ).
tcf(c_160619,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_158056,c_16658]) ).
tcf(c_160621,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_158056,c_2919]) ).
tcf(c_160636,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_158057,c_16658]) ).
tcf(c_160638,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_158057,c_144911]) ).
tcf(c_160639,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_158057,c_2899]) ).
tcf(c_160641,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_160639,c_13432]) ).
tcf(c_160644,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_160638,c_144278]) ).
tcf(c_160692,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_158058,c_28672]) ).
tcf(c_160693,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_160692,c_14259]) ).
tcf(c_160703,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157564,c_147610]) ).
tcf(c_160705,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157564,c_147523]) ).
tcf(c_160709,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_157564,c_8911]) ).
tcf(c_160710,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_157564,c_8909]) ).
tcf(c_160711,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157564,c_46753]) ).
tcf(c_160712,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_157564,c_46751]) ).
tcf(c_160713,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157564,c_46750]) ).
tcf(c_160714,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157564,c_46749]) ).
tcf(c_160715,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157564,c_46748]) ).
tcf(c_160716,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157564,c_46742]) ).
tcf(c_160720,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_157564,c_7323]) ).
tcf(c_160724,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_157564,c_7320]) ).
tcf(c_160776,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157565,c_50824]) ).
tcf(c_160778,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c10) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_157565,c_35087]) ).
tcf(c_160779,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157565,c_27711]) ).
tcf(c_160781,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_157565,c_27708]) ).
tcf(c_160784,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_157565,c_7323]) ).
tcf(c_160789,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_157565,c_7320]) ).
tcf(c_160790,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157565,c_2915]) ).
tcf(c_160791,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_157565,c_1261]) ).
tcf(c_160826,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157583,c_136095]) ).
tcf(c_160827,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157583,c_136094]) ).
tcf(c_160828,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157583,c_136093]) ).
tcf(c_160829,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157583,c_136063]) ).
tcf(c_160832,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157583,c_18690]) ).
tcf(c_160833,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157583,c_18689]) ).
tcf(c_160834,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157583,c_18688]) ).
tcf(c_160836,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_157583,c_17582]) ).
tcf(c_160886,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_157596,c_7323]) ).
tcf(c_160890,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_157596,c_7320]) ).
tcf(c_160912,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_8805,c_18082,c_157465]) ).
tcf(c_160931,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_160912,c_647]) ).
tcf(c_160932,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_160912,c_645]) ).
tcf(c_160933,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160912,c_644]) ).
tcf(c_160934,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_160912,c_16658]) ).
tcf(c_160935,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_160912,c_105]) ).
tcf(c_160936,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_23) )
| ( inverse(inverse(iPr_def_23)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160912,c_643]) ).
tcf(c_160937,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160912,c_646]) ).
tcf(c_160941,plain,
( ( sk_c11 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160912,c_1052]) ).
tcf(c_160942,plain,
( ( sk_c4 = identity )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160912,c_1257]) ).
tcf(c_160944,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160912,c_4720]) ).
tcf(c_160945,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160912,c_4718]) ).
tcf(c_160946,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160912,c_4721]) ).
tcf(c_160947,plain,
( ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160912,c_7556]) ).
tcf(c_160948,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_160912,c_7628]) ).
tcf(c_160949,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_160912,c_8568]) ).
tcf(c_160950,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_160912,c_18666]) ).
tcf(c_160973,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c11 != sk_c4 )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_160937,c_19276]) ).
tcf(c_160978,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != sk_c4 )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_160933,c_19276]) ).
tcf(c_160983,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != sk_c4 )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_160932,c_19276]) ).
tcf(c_160988,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != sk_c4 )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_160931,c_19276]) ).
tcf(c_160993,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(X0) != iPr_def_23 )
| ( inverse(X0) != sk_c4 )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_160936,c_635,c_19276]) ).
tcf(c_161014,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158342,c_16658]) ).
tcf(c_161016,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158342,c_2915]) ).
tcf(c_161026,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158343,c_16658]) ).
tcf(c_161028,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158343,c_2914]) ).
tcf(c_161035,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158344,c_16658]) ).
tcf(c_161037,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158344,c_2919]) ).
tcf(c_161085,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_15) = multiply(sk_c7,sk_c11) ) ),
inference(superposition,[status(thm)],[c_158346,c_151467]) ).
tcf(c_161086,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,sk_c11) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_158346,c_144621]) ).
tcf(c_161088,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_158346,c_7342]) ).
tcf(c_161090,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_158346,c_7338]) ).
tcf(c_161091,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_158346,c_7336]) ).
tcf(c_161092,plain,
( ( identity = iPr_def_27 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_158346,c_7334]) ).
tcf(c_161128,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157597,c_27711]) ).
tcf(c_161130,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_157597,c_27708]) ).
tcf(c_161133,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_157597,c_7323]) ).
tcf(c_161138,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_157597,c_7320]) ).
tcf(c_161139,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157597,c_2915]) ).
tcf(c_161140,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_157597,c_1261]) ).
tcf(c_161177,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157602,c_27711]) ).
tcf(c_161179,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_157602,c_27708]) ).
tcf(c_161182,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_157602,c_7323]) ).
tcf(c_161187,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_157602,c_7320]) ).
tcf(c_161188,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157602,c_2915]) ).
tcf(c_161189,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_157602,c_1261]) ).
tcf(c_161243,plain,
( ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_155640]) ).
tcf(c_161244,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157604,c_155565]) ).
tcf(c_161245,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157604,c_155564]) ).
tcf(c_161246,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157604,c_154923]) ).
tcf(c_161250,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_144782]) ).
tcf(c_161253,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_157604,c_146660]) ).
tcf(c_161254,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_157604,c_146659]) ).
tcf(c_161255,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_157604,c_146658]) ).
tcf(c_161259,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_157604,c_8351]) ).
tcf(c_161260,plain,
( ( identity = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_136066]) ).
tcf(c_161261,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_157604,c_136064]) ).
tcf(c_161262,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_23 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157604,c_50824]) ).
tcf(c_161263,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157604,c_50783]) ).
tcf(c_161265,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_23 )
| ( multiply(iPr_def_29,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_157604,c_35087]) ).
tcf(c_161266,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_157604,c_7950]) ).
tcf(c_161268,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_157604,c_34531]) ).
tcf(c_161270,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_157604,c_3968]) ).
tcf(c_161271,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_157604,c_3562]) ).
tcf(c_161272,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_157604,c_2792]) ).
tcf(c_161273,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_157604,c_3768]) ).
tcf(c_161274,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_157604,c_35960]) ).
tcf(c_161284,plain,
( ( identity = iPr_def_23 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_157604,c_16676]) ).
tcf(c_161289,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_157604,c_2901]) ).
tcf(c_161290,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_157604,c_2900]) ).
tcf(c_161291,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_157604,c_2898]) ).
tcf(c_161292,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_157604,c_2896]) ).
tcf(c_161293,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_157604,c_2894]) ).
tcf(c_161294,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_2173]) ).
tcf(c_161295,plain,
( ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_2077]) ).
tcf(c_161296,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_1885]) ).
tcf(c_161298,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_157604,c_1798]) ).
tcf(c_161299,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_1650]) ).
tcf(c_161300,plain,
( ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_1586]) ).
tcf(c_161301,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_1448]) ).
tcf(c_161302,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_157604,c_1389]) ).
tcf(c_161303,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_1305]) ).
tcf(c_161304,plain,
( ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_1272]) ).
tcf(c_161306,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_157604,c_1194]) ).
tcf(c_161307,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157604,c_1135]) ).
tcf(c_161310,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157604,c_2072]) ).
tcf(c_161311,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157604,c_2067]) ).
tcf(c_161312,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157604,c_1581]) ).
tcf(c_161313,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_157604,c_647]) ).
tcf(c_161314,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_157604,c_645]) ).
tcf(c_161315,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_157604,c_644]) ).
tcf(c_161317,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157604,c_639]) ).
tcf(c_161323,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_161284,c_14259,c_29043]) ).
tcf(c_161347,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_161307,c_7301]) ).
tcf(c_161354,plain,
( ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_161304,c_7301]) ).
tcf(c_161358,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_161303,c_7301]) ).
tcf(c_161408,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_161250,c_7301]) ).
tcf(c_161426,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c11 != sk_c2 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_161273,c_29043]) ).
tcf(c_161431,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_161272,c_629,c_29043]) ).
tcf(c_161436,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_161271,c_629,c_29043]) ).
tcf(c_161440,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_161270,c_629,c_29043]) ).
tcf(c_161444,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_161266,c_7304]) ).
tcf(c_161731,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_27 )
| ( iPr_def_27 != multiply(X0,X1) )
| ( multiply(X0,X1) != multiply(X0,X1) ) ),
inference(instantiation,[status(thm)],[c_132501]) ).
tcf(c_161732,plain,
( ( multiply(sk_c10,sk_c10) = iPr_def_27 )
| ( iPr_def_27 != multiply(sk_c10,sk_c10) )
| ( multiply(sk_c10,sk_c10) != multiply(sk_c10,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_161731]) ).
tcf(c_161777,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157605,c_157583]) ).
tcf(c_161778,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157605,c_160289]) ).
tcf(c_161783,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_157605,c_136075]) ).
tcf(c_161784,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_157605,c_99935]) ).
tcf(c_161787,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157605,c_28694]) ).
tcf(c_161792,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_157605,c_17582]) ).
tcf(c_161824,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_152713,c_158,c_702,c_704,c_709,c_629,c_4190,c_4191,c_4192,c_8676,c_8755,c_9085,c_9996,c_19220,c_19223,c_28697,c_37822,c_46211,c_49143,c_49622,c_49797,c_49845,c_54766,c_54806,c_59515,c_99925,c_101795,c_105625,c_105706,c_105707,c_105734,c_105780,c_105825,c_105842,c_105843,c_105919,c_105920,c_106145,c_107163,c_107164,c_108446,c_108648,c_111917,c_113324,c_118622,c_124167,c_144730,c_147517,c_160097,c_161732]) ).
tcf(c_161826,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_161824,c_157465]) ).
tcf(c_161847,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_155640]) ).
tcf(c_161851,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_155000]) ).
tcf(c_161854,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_154412]) ).
tcf(c_161855,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_144782]) ).
tcf(c_161856,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_161826,c_144788]) ).
tcf(c_161859,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_161826,c_146659]) ).
tcf(c_161860,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_161826,c_146658]) ).
tcf(c_161862,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_136079]) ).
tcf(c_161863,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_136077]) ).
tcf(c_161865,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_136066]) ).
tcf(c_161868,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_161826,c_50824]) ).
tcf(c_161869,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_161826,c_50783]) ).
tcf(c_161870,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_161826,c_59515]) ).
tcf(c_161871,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_161826,c_35087]) ).
tcf(c_161872,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_161826,c_7950]) ).
tcf(c_161873,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_161826,c_46211]) ).
tcf(c_161874,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_161826,c_34531]) ).
tcf(c_161878,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_161826,c_2792]) ).
tcf(c_161879,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_161826,c_3768]) ).
tcf(c_161880,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( identity != iPr_def_23 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_161826,c_35960]) ).
tcf(c_161891,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_161826,c_16676]) ).
tcf(c_161896,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_161826,c_2901]) ).
tcf(c_161897,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_161826,c_2900]) ).
tcf(c_161898,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_161826,c_2898]) ).
tcf(c_161899,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_161826,c_2896]) ).
tcf(c_161900,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_161826,c_2894]) ).
tcf(c_161901,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_2173]) ).
tcf(c_161903,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_1885]) ).
tcf(c_161904,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_161826,c_1798]) ).
tcf(c_161905,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_1650]) ).
tcf(c_161907,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_1448]) ).
tcf(c_161908,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_161826,c_1389]) ).
tcf(c_161909,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_1305]) ).
tcf(c_161913,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_1135]) ).
tcf(c_161916,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_161826,c_647]) ).
tcf(c_161917,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_161826,c_645]) ).
tcf(c_161918,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_161826,c_1075]) ).
tcf(c_161919,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_161826,c_644]) ).
tcf(c_161920,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_161826,c_640]) ).
tcf(c_161921,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_161826,c_639]) ).
tcf(c_161922,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_161826,c_636]) ).
tcf(c_161923,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_161826,c_632]) ).
tcf(c_161924,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_161826,c_627]) ).
tcf(c_161937,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_161922,c_18663]) ).
tcf(c_161983,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_161899,c_18666]) ).
tcf(c_162020,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != sk_c4 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_161879,c_19276]) ).
tcf(c_162025,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_161878,c_635,c_19276]) ).
tcf(c_162245,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_22 )
| ( iPr_def_22 != multiply(identity,sk_c11) )
| ( multiply(X0,X1) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_132506]) ).
tcf(c_162246,plain,
( ( multiply(sk_c10,sk_c10) = iPr_def_22 )
| ( iPr_def_22 != multiply(identity,sk_c11) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_162245]) ).
tcf(c_162285,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_27 )
| ( iPr_def_27 != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(X0,X1) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_132506]) ).
tcf(c_162286,plain,
( ( multiply(sk_c10,sk_c10) = iPr_def_27 )
| ( iPr_def_27 != multiply(identity,multiply(identity,sk_c11)) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_162285]) ).
tcf(c_162386,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_152714,c_158,c_704,c_709,c_629,c_642,c_1562,c_2405,c_4190,c_4191,c_4192,c_8676,c_8807,c_9027,c_9780,c_16086,c_19220,c_19223,c_28697,c_36164,c_46211,c_49143,c_49622,c_49797,c_49845,c_54766,c_54806,c_59515,c_95839,c_99925,c_101796,c_102355,c_105625,c_105706,c_105707,c_105734,c_105780,c_105825,c_105842,c_105843,c_105919,c_105920,c_106145,c_107163,c_107164,c_108446,c_108648,c_111917,c_113324,c_118622,c_124167,c_147517,c_162286]) ).
tcf(c_162388,plain,
iPr_def_20 = iPr_def_25,
inference(global_subsumption_just,[status(thm)],[c_162386,c_158,c_704,c_709,c_629,c_632,c_637,c_641,c_1040,c_1075,c_2544,c_2546,c_3796,c_4190,c_4191,c_4192,c_4408,c_4409,c_4420,c_8676,c_19220,c_19223,c_28697,c_36373,c_37852,c_37872,c_49143,c_49622,c_49797,c_49845,c_50112,c_54766,c_54806,c_55946,c_59515,c_64122,c_74699,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_99925,c_100907,c_101799,c_105625,c_105673,c_105695,c_105700,c_105701,c_105706,c_105707,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105919,c_105920,c_105926,c_105927,c_105961,c_106108,c_106145,c_106493,c_106501,c_106831,c_106830,c_106980,c_107163,c_107164,c_108446,c_109158,c_113321,c_114960,c_118622,c_118915,c_121079,c_121799,c_121798,c_132177,c_132557,c_143293,c_144678,c_147517,c_155453,c_160060,c_161824,c_162386]) ).
tcf(c_162391,plain,
multiply(iPr_def_20,iPr_def_23) = sk_c11,
inference(demodulation,[status(thm)],[c_157649,c_162388]) ).
tcf(c_162446,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
inference(demodulation,[status(thm)],[c_18082,c_162388]) ).
tcf(c_162447,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_18150,c_162388]) ).
tcf(c_162448,plain,
multiply(sk_c3,iPr_def_20) = identity,
inference(demodulation,[status(thm)],[c_18079,c_162388]) ).
tcf(c_162467,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(demodulation,[status(thm)],[c_2920,c_162388]) ).
tcf(c_162476,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(demodulation,[status(thm)],[c_1256,c_162388]) ).
tcf(c_162478,plain,
inverse(sk_c3) = iPr_def_20,
inference(demodulation,[status(thm)],[c_637,c_162388]) ).
tcf(c_162479,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_147034,c_162391]) ).
tcf(c_162482,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c3 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_136070,c_162447]) ).
tcf(c_162483,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c3 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_67022,c_162447]) ).
tcf(c_162493,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c3) )
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c11 )
| ( multiply(inverse(sk_c3),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_162478,c_643]) ).
tcf(c_162494,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(iPr_def_20,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_20 )
| ( multiply(X0,iPr_def_20) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_162493,c_162448,c_162478]) ).
tcf(c_162501,plain,
multiply(inverse(sk_c3),identity) = iPr_def_20,
inference(superposition,[status(thm)],[c_162448,c_16658]) ).
tcf(c_162502,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_162448,c_105]) ).
tcf(c_162509,plain,
multiply(inverse(iPr_def_20),identity) = sk_c3,
inference(superposition,[status(thm)],[c_162476,c_16658]) ).
tcf(c_162510,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_162476,c_105]) ).
tcf(c_162511,plain,
multiply(sk_c8,sk_c3) = multiply(iPr_def_18,identity),
inference(superposition,[status(thm)],[c_162476,c_144284]) ).
tcf(c_162512,plain,
( ( sk_c3 = identity )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_162476,c_147138]) ).
tcf(c_162513,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c3 = identity ) ),
inference(superposition,[status(thm)],[c_162476,c_136065]) ).
tcf(c_162514,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c3 = identity ) ),
inference(superposition,[status(thm)],[c_162476,c_136061]) ).
tcf(c_162515,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c3 = identity ) ),
inference(superposition,[status(thm)],[c_162476,c_136060]) ).
tcf(c_162531,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_162447,c_643]) ).
tcf(c_162537,plain,
multiply(inverse(iPr_def_20),sk_c11) = iPr_def_23,
inference(superposition,[status(thm)],[c_162391,c_16658]) ).
tcf(c_162538,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_23,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_162391,c_105]) ).
tcf(c_162539,plain,
multiply(sk_c8,iPr_def_23) = multiply(iPr_def_18,sk_c11),
inference(superposition,[status(thm)],[c_162391,c_144284]) ).
tcf(c_162540,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162391,c_147138]) ).
tcf(c_162541,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162391,c_136065]) ).
tcf(c_162542,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162391,c_136061]) ).
tcf(c_162543,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162391,c_136060]) ).
tcf(c_162554,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c11) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_6458,c_162539]) ).
tcf(c_162555,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c11) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_6314,c_162539]) ).
tcf(c_162556,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c11) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_4847,c_162539]) ).
tcf(c_162557,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c11) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1198,c_162539]) ).
tcf(c_162582,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157606,c_157583]) ).
tcf(c_162583,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157606,c_160289]) ).
tcf(c_162588,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_157606,c_136075]) ).
tcf(c_162589,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157606,c_28694]) ).
tcf(c_162594,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_157606,c_17582]) ).
tcf(c_162626,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157607,c_157583]) ).
tcf(c_162627,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_157607,c_160289]) ).
tcf(c_162632,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_157607,c_136075]) ).
tcf(c_162633,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157607,c_28694]) ).
tcf(c_162638,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_157607,c_17582]) ).
tcf(c_162678,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_157805,c_162467]) ).
tcf(c_162679,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_160435,c_162467]) ).
tcf(c_162681,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_162467,c_16658]) ).
tcf(c_162682,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_20,multiply(multiply(sk_c3,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_162467,c_105]) ).
tcf(c_162683,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c3,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_162467,c_144284]) ).
tcf(c_162684,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_162467,c_147138]) ).
tcf(c_162685,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_162467,c_136065]) ).
tcf(c_162686,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_162467,c_136061]) ).
tcf(c_162687,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_162467,c_136060]) ).
tcf(c_162699,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_20,multiply(sk_c3,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_162682,c_18078,c_162388,c_162447]) ).
tcf(c_162710,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158695,c_16658]) ).
tcf(c_162712,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158695,c_2915]) ).
tcf(c_162719,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158696,c_16658]) ).
tcf(c_162721,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158696,c_2914]) ).
tcf(c_162728,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158697,c_16658]) ).
tcf(c_162730,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158697,c_2919]) ).
tcf(c_162737,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157715,c_158697]) ).
tcf(c_162738,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157715,c_158344]) ).
tcf(c_162745,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_15) = multiply(iPr_def_24,sk_c11) ) ),
inference(superposition,[status(thm)],[c_157715,c_12244]) ).
tcf(c_162746,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_157715,c_2896]) ).
tcf(c_162747,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157715,c_2919]) ).
tcf(c_162749,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157715,c_636]) ).
tcf(c_162771,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157718,c_158697]) ).
tcf(c_162772,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157718,c_158344]) ).
tcf(c_162779,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_15) = multiply(iPr_def_24,sk_c11) ) ),
inference(superposition,[status(thm)],[c_157718,c_12244]) ).
tcf(c_162780,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_157718,c_2896]) ).
tcf(c_162781,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157718,c_2919]) ).
tcf(c_162783,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157718,c_636]) ).
tcf(c_162804,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157721,c_158697]) ).
tcf(c_162805,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157721,c_158344]) ).
tcf(c_162812,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_15) = multiply(iPr_def_24,sk_c11) ) ),
inference(superposition,[status(thm)],[c_157721,c_12244]) ).
tcf(c_162813,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_157721,c_2896]) ).
tcf(c_162814,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_157721,c_2919]) ).
tcf(c_162816,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157721,c_636]) ).
tcf(c_162848,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_158689,c_27711]) ).
tcf(c_162849,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_158689,c_28387]) ).
tcf(c_162850,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_158689,c_27708]) ).
tcf(c_162852,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_158689,c_7323]) ).
tcf(c_162855,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_158689,c_7320]) ).
tcf(c_162856,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_158689,c_2915]) ).
tcf(c_162857,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_158689,c_1261]) ).
tcf(c_162929,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_15) = multiply(sk_c7,sk_c11) ) ),
inference(superposition,[status(thm)],[c_158699,c_151467]) ).
tcf(c_162930,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,sk_c11) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_158699,c_144621]) ).
tcf(c_162936,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_158699,c_7334]) ).
tcf(c_162948,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158939,c_16658]) ).
tcf(c_162950,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158939,c_2915]) ).
tcf(c_162957,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158940,c_16658]) ).
tcf(c_162959,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158940,c_2914]) ).
tcf(c_162966,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157721,c_158941]) ).
tcf(c_162969,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158941,c_16658]) ).
tcf(c_162971,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_158941,c_2919]) ).
tcf(c_162981,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_23 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_158934,c_136055]) ).
tcf(c_162985,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(iPr_def_27,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_158934,c_7323]) ).
tcf(c_162988,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_29,iPr_def_27) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_158934,c_7320]) ).
tcf(c_163013,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_159634,c_27711]) ).
tcf(c_163014,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_159634,c_28387]) ).
tcf(c_163015,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_159634,c_27708]) ).
tcf(c_163017,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_159634,c_7323]) ).
tcf(c_163020,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_159634,c_7320]) ).
tcf(c_163021,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_159634,c_2915]) ).
tcf(c_163022,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_159634,c_1261]) ).
tcf(c_163054,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_157604]) ).
tcf(c_163059,plain,
( ( sk_c10 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_160394,c_146661]) ).
tcf(c_163060,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_160394,c_146660]) ).
tcf(c_163061,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_160394,c_146659]) ).
tcf(c_163062,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_160394,c_146658]) ).
tcf(c_163063,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_160394,c_8520]) ).
tcf(c_163066,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_160394,c_8351]) ).
tcf(c_163070,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160394,c_7950]) ).
tcf(c_163071,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_16)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_160394,c_3968]) ).
tcf(c_163072,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_16)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_160394,c_3562]) ).
tcf(c_163073,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_16)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160394,c_2792]) ).
tcf(c_163075,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( identity != iPr_def_16 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160394,c_35960]) ).
tcf(c_163076,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160394,c_7548]) ).
tcf(c_163077,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_26859]) ).
tcf(c_163078,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_26158]) ).
tcf(c_163079,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_25333]) ).
tcf(c_163083,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_18691]) ).
tcf(c_163084,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_160394,c_16676]) ).
tcf(c_163085,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_5591]) ).
tcf(c_163086,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_5376]) ).
tcf(c_163087,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_4324]) ).
tcf(c_163088,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_160394,c_2901]) ).
tcf(c_163089,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_160394,c_2900]) ).
tcf(c_163090,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_160394,c_2898]) ).
tcf(c_163091,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_16,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_160394,c_2896]) ).
tcf(c_163092,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160394,c_2894]) ).
tcf(c_163093,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_2077]) ).
tcf(c_163094,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_1885]) ).
tcf(c_163096,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160394,c_1798]) ).
tcf(c_163097,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_1586]) ).
tcf(c_163098,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_1448]) ).
tcf(c_163099,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160394,c_1389]) ).
tcf(c_163100,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_1272]) ).
tcf(c_163101,plain,
( ( sk_c10 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160394,c_1196]) ).
tcf(c_163102,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160394,c_1194]) ).
tcf(c_163103,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_1135]) ).
tcf(c_163104,plain,
( ( sk_c10 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_1054]) ).
tcf(c_163108,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_160394,c_647]) ).
tcf(c_163109,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160394,c_645]) ).
tcf(c_163110,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160394,c_644]) ).
tcf(c_163111,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_160394,c_640]) ).
tcf(c_163112,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_160394,c_639]) ).
tcf(c_163113,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160394,c_636]) ).
tcf(c_163114,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160394,c_632]) ).
tcf(c_163115,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_627]) ).
tcf(c_163116,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160394,c_654]) ).
tcf(c_163119,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_163114,c_150086]) ).
tcf(c_163128,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_163084,c_144617]) ).
tcf(c_163177,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_163090,c_150106]) ).
tcf(c_163221,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_16 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_163073,c_144651,c_144617]) ).
tcf(c_163226,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_163072,c_144651,c_144617]) ).
tcf(c_163230,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_163071,c_144651,c_144617]) ).
tcf(c_163294,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160941,c_158699]) ).
tcf(c_163295,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160941,c_158346]) ).
tcf(c_163297,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_160941,c_157657]) ).
tcf(c_163311,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160941,c_36104]) ).
tcf(c_163312,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160941,c_35440]) ).
tcf(c_163313,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_160941,c_13391]) ).
tcf(c_163316,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160941,c_4721]) ).
tcf(c_163325,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160941,c_2894]) ).
tcf(c_163332,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160941,c_1052]) ).
tcf(c_163334,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_160941,c_646]) ).
tcf(c_163341,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160941,c_627]) ).
tcf(c_163375,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_163116,c_158,c_704,c_627,c_635,c_2963,c_4401,c_4402,c_8771,c_8821,c_9221,c_19081,c_19082,c_19642,c_50689,c_56606,c_105673,c_105695,c_106493,c_106621,c_107035,c_107033,c_115972,c_115973,c_123552,c_124091,c_124148,c_142438,c_157604]) ).
tcf(c_163376,plain,
( ( sk_c10 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_163375]) ).
tcf(c_163392,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_160394]) ).
tcf(c_163401,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_163376,c_146660]) ).
tcf(c_163402,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_163376,c_146659]) ).
tcf(c_163403,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_163376,c_146658]) ).
tcf(c_163407,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_163376,c_8351]) ).
tcf(c_163413,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163376,c_2792]) ).
tcf(c_163415,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163376,c_35960]) ).
tcf(c_163417,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_26859]) ).
tcf(c_163418,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_26158]) ).
tcf(c_163419,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_25333]) ).
tcf(c_163423,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_163376,c_16676]) ).
tcf(c_163424,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_5591]) ).
tcf(c_163425,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_5376]) ).
tcf(c_163426,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_4324]) ).
tcf(c_163427,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_163376,c_2901]) ).
tcf(c_163428,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_163376,c_2900]) ).
tcf(c_163429,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_163376,c_2898]) ).
tcf(c_163430,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_163376,c_2896]) ).
tcf(c_163431,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_163376,c_2894]) ).
tcf(c_163435,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163376,c_1798]) ).
tcf(c_163438,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163376,c_1389]) ).
tcf(c_163439,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_1272]) ).
tcf(c_163441,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163376,c_1194]) ).
tcf(c_163442,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_1135]) ).
tcf(c_163444,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_2072]) ).
tcf(c_163445,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_2067]) ).
tcf(c_163446,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_1581]) ).
tcf(c_163447,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_163376,c_647]) ).
tcf(c_163448,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163376,c_645]) ).
tcf(c_163449,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163376,c_644]) ).
tcf(c_163450,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_163376,c_640]) ).
tcf(c_163451,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163376,c_639]) ).
tcf(c_163452,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163376,c_636]) ).
tcf(c_163453,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163376,c_632]) ).
tcf(c_163454,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163376,c_627]) ).
tcf(c_163464,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_163451,c_28669]) ).
tcf(c_163481,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_163442,c_7301]) ).
tcf(c_163487,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_163439,c_7301]) ).
tcf(c_163504,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_163427,c_28672]) ).
tcf(c_163538,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_163413,c_629,c_29043]) ).
tcf(c_163589,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,identity) = multiply(iPr_def_27,sk_c4) ) ),
inference(superposition,[status(thm)],[c_1257,c_8853]) ).
tcf(c_163590,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,multiply(sk_c4,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_2919,c_8853]) ).
tcf(c_163593,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,sk_c10) = multiply(iPr_def_27,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7556,c_8853]) ).
tcf(c_163594,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,multiply(sk_c10,X0)) = multiply(iPr_def_27,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_7628,c_8853]) ).
tcf(c_163595,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_160912,c_8853]) ).
tcf(c_163596,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_23) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8853]) ).
tcf(c_163597,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_27,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_8853,c_16658]) ).
tcf(c_163598,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,multiply(multiply(iPr_def_23,X0),X1)) = multiply(multiply(iPr_def_27,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8853,c_105]) ).
tcf(c_163599,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_8853,c_2914]) ).
tcf(c_163604,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_163593,c_29064]) ).
tcf(c_163613,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,multiply(iPr_def_24,X0)) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_163594,c_2901]) ).
tcf(c_163649,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163464,c_158066]) ).
tcf(c_163652,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163464,c_146661]) ).
tcf(c_163653,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163464,c_146660]) ).
tcf(c_163654,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163464,c_146659]) ).
tcf(c_163655,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163464,c_146658]) ).
tcf(c_163656,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_163464,c_8520]) ).
tcf(c_163659,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_163464,c_8351]) ).
tcf(c_163662,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_163464,c_7950]) ).
tcf(c_163665,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163464,c_2792]) ).
tcf(c_163666,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163464,c_3768]) ).
tcf(c_163667,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163464,c_35960]) ).
tcf(c_163668,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_163464,c_7548]) ).
tcf(c_163669,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_26859]) ).
tcf(c_163670,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_26158]) ).
tcf(c_163671,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_25333]) ).
tcf(c_163676,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_163464,c_16676]) ).
tcf(c_163677,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_5591]) ).
tcf(c_163678,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_5376]) ).
tcf(c_163679,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_4324]) ).
tcf(c_163680,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_163464,c_2901]) ).
tcf(c_163681,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_163464,c_2900]) ).
tcf(c_163682,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_163464,c_2898]) ).
tcf(c_163683,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_163464,c_2896]) ).
tcf(c_163684,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_163464,c_2894]) ).
tcf(c_163685,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_2077]) ).
tcf(c_163686,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_1885]) ).
tcf(c_163688,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163464,c_1798]) ).
tcf(c_163689,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_1586]) ).
tcf(c_163690,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_1448]) ).
tcf(c_163691,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163464,c_1389]) ).
tcf(c_163692,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_1272]) ).
tcf(c_163693,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163464,c_1196]) ).
tcf(c_163694,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163464,c_1194]) ).
tcf(c_163695,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_1135]) ).
tcf(c_163696,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_1054]) ).
tcf(c_163697,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163464,c_2072]) ).
tcf(c_163698,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163464,c_2067]) ).
tcf(c_163699,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163464,c_1581]) ).
tcf(c_163700,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_163464,c_647]) ).
tcf(c_163701,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163464,c_645]) ).
tcf(c_163702,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163464,c_644]) ).
tcf(c_163703,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_163464,c_640]) ).
tcf(c_163704,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163464,c_639]) ).
tcf(c_163705,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163464,c_636]) ).
tcf(c_163706,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163464,c_632]) ).
tcf(c_163707,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_627]) ).
tcf(c_163708,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_163464,c_654]) ).
tcf(c_163713,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_163706,c_12854]) ).
tcf(c_163716,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_163705,c_12244]) ).
tcf(c_163719,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_163704,c_14259]) ).
tcf(c_163722,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_163703,c_13499]) ).
tcf(c_163774,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_163683,c_12263]) ).
tcf(c_163777,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_163682,c_12873]) ).
tcf(c_163780,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_163681,c_13518]) ).
tcf(c_163783,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_163680,c_14278]) ).
tcf(c_163868,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160941,c_158943]) ).
tcf(c_163898,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_15) = multiply(sk_c7,sk_c11) ) ),
inference(superposition,[status(thm)],[c_158943,c_151467]) ).
tcf(c_163899,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,sk_c11) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_158943,c_144621]) ).
tcf(c_163905,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_158943,c_7334]) ).
tcf(c_163920,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_159641,c_16658]) ).
tcf(c_163922,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_159641,c_2915]) ).
tcf(c_163929,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_159642,c_16658]) ).
tcf(c_163931,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_159642,c_2914]) ).
tcf(c_163941,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(identity,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160942,c_158941]) ).
tcf(c_163945,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(identity,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160942,c_158697]) ).
tcf(c_163946,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(identity,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160942,c_158344]) ).
tcf(c_163951,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_160942,c_18666]) ).
tcf(c_163952,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_160942,c_18663]) ).
tcf(c_163953,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,iPr_def_15) = multiply(iPr_def_24,sk_c11) ) ),
inference(superposition,[status(thm)],[c_160942,c_12244]) ).
tcf(c_163954,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_160942,c_2896]) ).
tcf(c_163955,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_160942,c_2919]) ).
tcf(c_163956,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = identity ) ),
inference(superposition,[status(thm)],[c_160942,c_1257]) ).
tcf(c_163957,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160942,c_636]) ).
tcf(c_163958,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_160942,c_635]) ).
tcf(c_164000,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_160944,c_163464]) ).
tcf(c_164001,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160944,c_160394]) ).
tcf(c_164002,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160944,c_155640]) ).
tcf(c_164003,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160944,c_155565]) ).
tcf(c_164004,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160944,c_155564]) ).
tcf(c_164005,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160944,c_154923]) ).
tcf(c_164010,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_160944,c_146660]) ).
tcf(c_164011,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_160944,c_146659]) ).
tcf(c_164012,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_160944,c_146658]) ).
tcf(c_164016,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_160944,c_8351]) ).
tcf(c_164017,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160944,c_136066]) ).
tcf(c_164019,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160944,c_7950]) ).
tcf(c_164020,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160944,c_3968]) ).
tcf(c_164021,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160944,c_3562]) ).
tcf(c_164022,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160944,c_2792]) ).
tcf(c_164023,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160944,c_3768]) ).
tcf(c_164024,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160944,c_35960]) ).
tcf(c_164032,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_160944,c_16676]) ).
tcf(c_164036,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_160944,c_2901]) ).
tcf(c_164037,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_160944,c_2900]) ).
tcf(c_164038,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_160944,c_2898]) ).
tcf(c_164039,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_160944,c_2896]) ).
tcf(c_164040,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160944,c_2894]) ).
tcf(c_164041,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160944,c_2077]) ).
tcf(c_164042,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160944,c_1885]) ).
tcf(c_164044,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160944,c_1798]) ).
tcf(c_164045,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160944,c_1586]) ).
tcf(c_164046,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160944,c_1448]) ).
tcf(c_164047,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160944,c_1389]) ).
tcf(c_164048,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160944,c_1272]) ).
tcf(c_164050,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160944,c_1194]) ).
tcf(c_164051,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160944,c_1135]) ).
tcf(c_164053,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160944,c_2072]) ).
tcf(c_164054,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160944,c_2067]) ).
tcf(c_164055,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160944,c_1581]) ).
tcf(c_164056,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_160944,c_647]) ).
tcf(c_164057,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160944,c_645]) ).
tcf(c_164058,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160944,c_644]) ).
tcf(c_164059,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_160944,c_640]) ).
tcf(c_164060,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_160944,c_639]) ).
tcf(c_164061,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160944,c_636]) ).
tcf(c_164062,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160944,c_632]) ).
tcf(c_164063,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160944,c_627]) ).
tcf(c_164071,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_164060,c_28669]) ).
tcf(c_164134,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_164036,c_28672]) ).
tcf(c_164152,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != sk_c2 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_164023,c_29043]) ).
tcf(c_164157,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_164022,c_629,c_29043]) ).
tcf(c_164162,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_164021,c_629,c_29043]) ).
tcf(c_164166,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_164020,c_629,c_29043]) ).
tcf(c_164170,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_164019,c_7304]) ).
tcf(c_164266,plain,
! [X0: $i] :
( ( inverse(sk_c3) = X0 )
| ( X0 != multiply(identity,multiply(identity,sk_c11)) )
| ( inverse(sk_c3) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_142374]) ).
tcf(c_164268,plain,
( ( inverse(sk_c3) = sk_c10 )
| ( sk_c10 != multiply(identity,multiply(identity,sk_c11)) )
| ( inverse(sk_c3) != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_164266]) ).
tcf(c_164356,plain,
( ( identity = iPr_def_29 )
| ( iPr_def_29 != sk_c11 )
| ( identity != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_119806]) ).
tcf(c_164365,plain,
( ( identity = iPr_def_20 )
| ( iPr_def_20 != sk_c11 )
| ( identity != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_107028]) ).
tcf(c_164406,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160947,c_163464]) ).
tcf(c_164411,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160947,c_155565]) ).
tcf(c_164412,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160947,c_155564]) ).
tcf(c_164413,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160947,c_154923]) ).
tcf(c_164415,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160947,c_158066]) ).
tcf(c_164418,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_160947,c_146661]) ).
tcf(c_164422,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_160947,c_8520]) ).
tcf(c_164432,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_24)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160947,c_2792]) ).
tcf(c_164433,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160947,c_3768]) ).
tcf(c_164434,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( identity != iPr_def_24 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160947,c_35960]) ).
tcf(c_164435,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160947,c_7548]) ).
tcf(c_164436,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160947,c_26859]) ).
tcf(c_164437,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160947,c_26158]) ).
tcf(c_164438,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160947,c_25333]) ).
tcf(c_164443,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_160947,c_16676]) ).
tcf(c_164447,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_160947,c_2901]) ).
tcf(c_164448,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_160947,c_2900]) ).
tcf(c_164449,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_160947,c_2898]) ).
tcf(c_164450,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_160947,c_2896]) ).
tcf(c_164451,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160947,c_2894]) ).
tcf(c_164460,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160947,c_1196]) ).
tcf(c_164463,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160947,c_1054]) ).
tcf(c_164467,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_160947,c_647]) ).
tcf(c_164468,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160947,c_645]) ).
tcf(c_164469,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160947,c_644]) ).
tcf(c_164470,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_160947,c_640]) ).
tcf(c_164471,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_160947,c_639]) ).
tcf(c_164472,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160947,c_636]) ).
tcf(c_164473,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_160947,c_632]) ).
tcf(c_164474,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160947,c_627]) ).
tcf(c_164475,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_160947,c_654]) ).
tcf(c_164600,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_164475,c_160947]) ).
tcf(c_164601,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164475,c_163464]) ).
tcf(c_164603,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_164475,c_155640]) ).
tcf(c_164608,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164475,c_158066]) ).
tcf(c_164611,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_164475,c_146660]) ).
tcf(c_164612,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_164475,c_146659]) ).
tcf(c_164613,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_164475,c_146658]) ).
tcf(c_164617,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_164475,c_8351]) ).
tcf(c_164618,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_164475,c_136066]) ).
tcf(c_164620,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_164475,c_7950]) ).
tcf(c_164621,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_164475,c_3968]) ).
tcf(c_164622,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_164475,c_3562]) ).
tcf(c_164623,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_164475,c_2792]) ).
tcf(c_164624,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_164475,c_3768]) ).
tcf(c_164625,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_164475,c_35960]) ).
tcf(c_164633,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_164475,c_16676]) ).
tcf(c_164637,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_164475,c_2901]) ).
tcf(c_164638,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_164475,c_2900]) ).
tcf(c_164639,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_164475,c_2898]) ).
tcf(c_164640,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_164475,c_2896]) ).
tcf(c_164641,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_164475,c_2894]) ).
tcf(c_164642,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_164475,c_2077]) ).
tcf(c_164643,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_164475,c_1885]) ).
tcf(c_164645,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164475,c_1798]) ).
tcf(c_164646,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_164475,c_1586]) ).
tcf(c_164647,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_164475,c_1448]) ).
tcf(c_164648,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164475,c_1389]) ).
tcf(c_164649,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_164475,c_1272]) ).
tcf(c_164651,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164475,c_1194]) ).
tcf(c_164652,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_164475,c_1135]) ).
tcf(c_164657,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_164475,c_647]) ).
tcf(c_164658,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_164475,c_645]) ).
tcf(c_164659,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_164475,c_644]) ).
tcf(c_164660,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_164475,c_640]) ).
tcf(c_164661,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164475,c_639]) ).
tcf(c_164662,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_164475,c_636]) ).
tcf(c_164663,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164475,c_632]) ).
tcf(c_164664,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_164475,c_627]) ).
tcf(c_164665,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_164475,c_654]) ).
tcf(c_164672,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_164661,c_28669]) ).
tcf(c_164723,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_164637,c_28672]) ).
tcf(c_164741,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c11 != sk_c2 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_164624,c_29043]) ).
tcf(c_164746,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_164623,c_629,c_29043]) ).
tcf(c_164751,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_164622,c_629,c_29043]) ).
tcf(c_164755,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_164621,c_629,c_29043]) ).
tcf(c_164759,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_164620,c_7304]) ).
tcf(c_164927,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163708,c_639]) ).
tcf(c_164947,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_164927,c_28669]) ).
tcf(c_164980,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164071,c_157607]) ).
tcf(c_164981,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164071,c_157606]) ).
tcf(c_164982,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164071,c_157605]) ).
tcf(c_164983,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164071,c_136095]) ).
tcf(c_164984,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164071,c_136094]) ).
tcf(c_164985,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164071,c_136093]) ).
tcf(c_164986,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_164071,c_136063]) ).
tcf(c_164987,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164071,c_18690]) ).
tcf(c_164988,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164071,c_18689]) ).
tcf(c_164989,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_164071,c_18688]) ).
tcf(c_164990,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164071,c_17605]) ).
tcf(c_164991,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_164071,c_17582]) ).
tcf(c_165042,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_164672,c_157607]) ).
tcf(c_165043,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_164672,c_157606]) ).
tcf(c_165044,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_164672,c_157605]) ).
tcf(c_165048,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_164672,c_136063]) ).
tcf(c_165049,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_164672,c_18690]) ).
tcf(c_165050,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_164672,c_18689]) ).
tcf(c_165051,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_164672,c_18688]) ).
tcf(c_165052,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164672,c_17605]) ).
tcf(c_165053,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_164672,c_17582]) ).
tcf(c_165085,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_105628]) ).
tcf(c_165086,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_105618]) ).
tcf(c_165087,plain,
( ( sk_c11 = sk_c10 )
| ( sk_c11 != identity )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_165086]) ).
tcf(c_165088,plain,
( ( sk_c10 = sk_c11 )
| ( sk_c11 != identity )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_165085]) ).
tcf(c_165115,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_164947,c_157607]) ).
tcf(c_165116,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_164947,c_157606]) ).
tcf(c_165117,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_164947,c_157605]) ).
tcf(c_165118,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_164947,c_136095]) ).
tcf(c_165119,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_164947,c_136094]) ).
tcf(c_165120,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_164947,c_136093]) ).
tcf(c_165121,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_164947,c_136063]) ).
tcf(c_165122,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_164947,c_18690]) ).
tcf(c_165123,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_164947,c_18689]) ).
tcf(c_165124,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_164947,c_18688]) ).
tcf(c_165125,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164947,c_17605]) ).
tcf(c_165126,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_164947,c_17582]) ).
tcf(c_165127,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_164947,c_103]) ).
tcf(c_165374,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(identity,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160942,c_159643]) ).
tcf(c_165377,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_157715,c_159643]) ).
tcf(c_165378,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_159643,c_16658]) ).
tcf(c_165380,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_159643,c_2919]) ).
tcf(c_165408,plain,
iPr_def_22 = iPr_def_25,
inference(global_subsumption_just,[status(thm)],[c_8890,c_158,c_704,c_709,c_629,c_632,c_637,c_641,c_1040,c_1075,c_2544,c_2546,c_3796,c_4190,c_4191,c_4192,c_4408,c_4409,c_4420,c_8676,c_19220,c_19223,c_28697,c_36373,c_37852,c_37872,c_49143,c_49622,c_49797,c_49845,c_50112,c_54766,c_54806,c_55946,c_59515,c_64122,c_74699,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_99925,c_100907,c_101799,c_105625,c_105673,c_105695,c_105700,c_105701,c_105706,c_105707,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105900,c_105919,c_105920,c_105926,c_105927,c_105961,c_106108,c_106145,c_106491,c_106493,c_106501,c_106831,c_106830,c_106980,c_107163,c_107164,c_108446,c_108760,c_109158,c_113321,c_114960,c_118622,c_118915,c_121079,c_121799,c_121798,c_132177,c_132557,c_143293,c_144678,c_147517,c_155453,c_160060,c_161824,c_162386]) ).
tcf(c_165415,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160941,c_159645]) ).
tcf(c_165445,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_15) = multiply(sk_c7,sk_c11) ) ),
inference(superposition,[status(thm)],[c_159645,c_151467]) ).
tcf(c_165446,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,sk_c11) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_159645,c_144621]) ).
tcf(c_165452,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_159645,c_7334]) ).
tcf(c_165497,plain,
( ( iPr_def_16 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_160333,c_647]) ).
tcf(c_165498,plain,
( ( iPr_def_16 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_160333,c_645]) ).
tcf(c_165499,plain,
( ( iPr_def_16 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160333,c_644]) ).
tcf(c_165500,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_160333,c_16658]) ).
tcf(c_165501,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_160333,c_105]) ).
tcf(c_165502,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160333,c_643]) ).
tcf(c_165503,plain,
( ( iPr_def_16 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_160333,c_646]) ).
tcf(c_165504,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_160333,c_160435]) ).
tcf(c_165505,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_160333,c_7950]) ).
tcf(c_165506,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_160333,c_7304]) ).
tcf(c_165559,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_16,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146661,c_162446]) ).
tcf(c_165560,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_16,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146660,c_162446]) ).
tcf(c_165561,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_16,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146659,c_162446]) ).
tcf(c_165562,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_16,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_146658,c_162446]) ).
tcf(c_165563,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_20) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_136034,c_162446]) ).
tcf(c_165564,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_13391,c_162446]) ).
tcf(c_165565,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_13389,c_162446]) ).
tcf(c_165566,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_13387,c_162446]) ).
tcf(c_165567,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_13385,c_162446]) ).
tcf(c_165568,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136045,c_162446]) ).
tcf(c_165569,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136041,c_162446]) ).
tcf(c_165570,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136040,c_162446]) ).
tcf(c_165571,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_18,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_31217,c_162446]) ).
tcf(c_165575,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151540,c_162446]) ).
tcf(c_165576,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151537,c_162446]) ).
tcf(c_165577,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151534,c_162446]) ).
tcf(c_165578,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_151531,c_162446]) ).
tcf(c_165579,plain,
! [X0: $i] : multiply(inverse(sk_c3),X0) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_162446,c_16658]) ).
tcf(c_165580,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(iPr_def_20,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_162446,c_105]) ).
tcf(c_165596,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = identity ) ),
inference(light_normalisation,[status(thm)],[c_165563,c_162448]) ).
tcf(c_165654,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162482,c_157657]) ).
tcf(c_165667,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_27,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_162483,c_160435]) ).
tcf(c_165668,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162483,c_157657]) ).
tcf(c_165669,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162483,c_157805]) ).
tcf(c_165679,plain,
multiply(sk_c8,sk_c3) = iPr_def_18,
inference(demodulation,[status(thm)],[c_162511,c_17582]) ).
tcf(c_165684,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_679,c_165679]) ).
tcf(c_165685,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_669,c_165679]) ).
tcf(c_165686,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_659,c_165679]) ).
tcf(c_165687,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_649,c_165679]) ).
tcf(c_165688,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162483,c_165679]) ).
tcf(c_165689,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162482,c_165679]) ).
tcf(c_165690,plain,
multiply(inverse(sk_c8),iPr_def_18) = sk_c3,
inference(superposition,[status(thm)],[c_165679,c_16658]) ).
tcf(c_165692,plain,
multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,sk_c3),
inference(superposition,[status(thm)],[c_165679,c_144911]) ).
tcf(c_165693,plain,
multiply(sk_c7,iPr_def_18) = multiply(iPr_def_16,sk_c3),
inference(superposition,[status(thm)],[c_165679,c_2899]) ).
tcf(c_165707,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c3) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1799,c_165693]) ).
tcf(c_165708,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c3) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1390,c_165693]) ).
tcf(c_165709,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c3) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1184,c_165693]) ).
tcf(c_165710,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c3) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1182,c_165693]) ).
tcf(c_165723,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162483,c_165684]) ).
tcf(c_165724,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162482,c_165684]) ).
tcf(c_165725,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_18) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_165684,c_16658]) ).
tcf(c_165726,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_165684,c_105]) ).
tcf(c_165729,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_18) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_165684,c_23873]) ).
tcf(c_165730,plain,
( ( sk_c3 = identity )
| ( sk_c11 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_165729,c_23870]) ).
tcf(c_165743,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162483,c_165685]) ).
tcf(c_165744,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162482,c_165685]) ).
tcf(c_165745,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_18) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_165685,c_16658]) ).
tcf(c_165746,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_165685,c_105]) ).
tcf(c_165749,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_165685,c_23873]) ).
tcf(c_165750,plain,
( ( sk_c3 = identity )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_165749,c_23870]) ).
tcf(c_165763,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162483,c_165686]) ).
tcf(c_165764,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162482,c_165686]) ).
tcf(c_165765,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),iPr_def_18) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_165686,c_16658]) ).
tcf(c_165766,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_165686,c_105]) ).
tcf(c_165769,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_165686,c_23873]) ).
tcf(c_165781,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162483,c_165687]) ).
tcf(c_165782,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162482,c_165687]) ).
tcf(c_165783,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_18) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_165687,c_16658]) ).
tcf(c_165784,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_165687,c_105]) ).
tcf(c_165787,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_165687,c_23873]) ).
tcf(c_165788,plain,
( ( sk_c3 = identity )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_165787,c_23870]) ).
tcf(c_165815,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_6460,c_162538]) ).
tcf(c_165816,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_6316,c_162538]) ).
tcf(c_165817,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_4849,c_162538]) ).
tcf(c_165818,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_1052,c_162538]) ).
tcf(c_165819,plain,
multiply(sk_c11,sk_c4) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_1257,c_162538]) ).
tcf(c_165820,plain,
! [X0: $i] : multiply(sk_c11,multiply(sk_c4,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_2919,c_162538]) ).
tcf(c_165821,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_4720,c_162538]) ).
tcf(c_165822,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,multiply(sk_c11,X0)) = multiply(iPr_def_20,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_4721,c_162538]) ).
tcf(c_165823,plain,
multiply(sk_c11,iPr_def_24) = multiply(iPr_def_20,sk_c10),
inference(superposition,[status(thm)],[c_7556,c_162538]) ).
tcf(c_165824,plain,
! [X0: $i] : multiply(sk_c11,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_7628,c_162538]) ).
tcf(c_165826,plain,
multiply(sk_c11,identity) = multiply(iPr_def_20,iPr_def_23),
inference(superposition,[status(thm)],[c_17582,c_162538]) ).
tcf(c_165827,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c11,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_162538,c_16658]) ).
tcf(c_165828,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_20,multiply(multiply(iPr_def_23,X0),X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_162538,c_105]) ).
tcf(c_165830,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_162538,c_144284]) ).
tcf(c_165831,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_162538,c_147138]) ).
tcf(c_165832,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_162538,c_136065]) ).
tcf(c_165833,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_162538,c_136061]) ).
tcf(c_165834,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_162538,c_136060]) ).
tcf(c_165835,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c11,X0)) = multiply(iPr_def_15,multiply(iPr_def_23,X0)) ) ),
inference(superposition,[status(thm)],[c_162538,c_7548]) ).
tcf(c_165856,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_165835,c_2894]) ).
tcf(c_165861,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0) ) ),
inference(demodulation,[status(thm)],[c_8568,c_165830]) ).
tcf(c_165948,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160947,c_162749]) ).
tcf(c_165950,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163464,c_162749]) ).
tcf(c_165951,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163376,c_162749]) ).
tcf(c_165952,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160394,c_162749]) ).
tcf(c_165963,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2072,c_162749]) ).
tcf(c_165965,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1581,c_162749]) ).
tcf(c_165966,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_654,c_162749]) ).
tcf(c_165967,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_162749,c_647]) ).
tcf(c_165968,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_162749,c_645]) ).
tcf(c_165969,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_162749,c_644]) ).
tcf(c_165970,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_23),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_162749,c_16658]) ).
tcf(c_165972,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c11,sk_c10) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_162749,c_162538]) ).
tcf(c_165973,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_27,sk_c10) ) ),
inference(superposition,[status(thm)],[c_162749,c_8853]) ).
tcf(c_165975,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_162749,c_18666]) ).
tcf(c_166002,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( sk_c11 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_165969,c_19276]) ).
tcf(c_166007,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( sk_c10 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_165968,c_19276]) ).
tcf(c_166012,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_165967,c_19276]) ).
tcf(c_166042,plain,
multiply(inverse(inverse(sk_c8)),sk_c3) = iPr_def_18,
inference(superposition,[status(thm)],[c_165690,c_16658]) ).
tcf(c_166043,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_18,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_165690,c_105]) ).
tcf(c_166055,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162512,c_165679]) ).
tcf(c_166058,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_162512,c_162446]) ).
tcf(c_166059,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_162512,c_162467]) ).
tcf(c_166060,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,identity) = identity ) ),
inference(superposition,[status(thm)],[c_162512,c_162476]) ).
tcf(c_166061,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(identity,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_162512,c_162448]) ).
tcf(c_166062,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162512,c_162478]) ).
tcf(c_166064,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(identity,sk_c11) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162512,c_157657]) ).
tcf(c_166092,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162513,c_165687]) ).
tcf(c_166093,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162513,c_165686]) ).
tcf(c_166094,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162513,c_165685]) ).
tcf(c_166095,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162513,c_165684]) ).
tcf(c_166096,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162513,c_165679]) ).
tcf(c_166099,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_162513,c_162446]) ).
tcf(c_166100,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_162513,c_162467]) ).
tcf(c_166101,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,identity) = identity ) ),
inference(superposition,[status(thm)],[c_162513,c_162476]) ).
tcf(c_166102,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(identity,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_162513,c_162448]) ).
tcf(c_166103,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( inverse(identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162513,c_162478]) ).
tcf(c_166105,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(identity,sk_c11) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162513,c_157657]) ).
tcf(c_166184,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162514,c_165687]) ).
tcf(c_166185,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162514,c_165686]) ).
tcf(c_166186,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162514,c_165685]) ).
tcf(c_166187,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162514,c_165684]) ).
tcf(c_166188,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c8,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162514,c_165679]) ).
tcf(c_166191,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_162514,c_162446]) ).
tcf(c_166192,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_162514,c_162467]) ).
tcf(c_166193,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,identity) = identity ) ),
inference(superposition,[status(thm)],[c_162514,c_162476]) ).
tcf(c_166194,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(identity,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_162514,c_162448]) ).
tcf(c_166195,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( inverse(identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162514,c_162478]) ).
tcf(c_166197,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(identity,sk_c11) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162514,c_157657]) ).
tcf(c_166224,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_165966,c_158,c_704,c_709,c_629,c_632,c_635,c_637,c_641,c_642,c_1040,c_1075,c_1562,c_1781,c_1820,c_2405,c_2544,c_2546,c_2658,c_3796,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4407,c_4408,c_4409,c_4420,c_4440,c_4515,c_8676,c_8755,c_8771,c_8807,c_8821,c_9221,c_19220,c_19223,c_19642,c_28697,c_36373,c_37218,c_37852,c_37872,c_38012,c_49143,c_49150,c_49622,c_49797,c_49845,c_50112,c_50689,c_50749,c_54766,c_54806,c_55946,c_56606,c_56666,c_59515,c_64122,c_74699,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_99925,c_100043,c_100907,c_101799,c_104822,c_105625,c_105673,c_105679,c_105695,c_105700,c_105701,c_105704,c_105706,c_105707,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105919,c_105920,c_105926,c_105927,c_105961,c_105983,c_106108,c_106145,c_106448,c_106493,c_106501,c_106615,c_106831,c_106830,c_106980,c_107035,c_107034,c_107149,c_107163,c_107164,c_107258,c_108446,c_109158,c_109400,c_109505,c_110419,c_113321,c_114960,c_117727,c_118622,c_118915,c_121079,c_121799,c_121798,c_121937,c_127142,c_131224,c_132177,c_132557,c_133774,c_143272,c_143293,c_144678,c_147517,c_155453,c_157715,c_157604,c_160060,c_160947,c_161824,c_162386,c_163312,c_163376,c_165788]) ).
tcf(c_166243,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_166224,c_162749]) ).
tcf(c_166244,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_166224,c_160947]) ).
tcf(c_166245,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_166224,c_163464]) ).
tcf(c_166248,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_166224,c_155565]) ).
tcf(c_166249,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_166224,c_155564]) ).
tcf(c_166255,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_166224,c_146660]) ).
tcf(c_166256,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_166224,c_146659]) ).
tcf(c_166257,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_166224,c_146658]) ).
tcf(c_166261,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_166224,c_8351]) ).
tcf(c_166267,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_166224,c_2792]) ).
tcf(c_166268,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_166224,c_3768]) ).
tcf(c_166269,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_166224,c_35960]) ).
tcf(c_166271,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_166224,c_26859]) ).
tcf(c_166273,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_166224,c_25333]) ).
tcf(c_166277,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_166224,c_16676]) ).
tcf(c_166278,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_166224,c_5591]) ).
tcf(c_166280,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_166224,c_4324]) ).
tcf(c_166281,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_166224,c_2901]) ).
tcf(c_166282,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_166224,c_2900]) ).
tcf(c_166283,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_166224,c_2898]) ).
tcf(c_166284,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_166224,c_2896]) ).
tcf(c_166285,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_166224,c_2894]) ).
tcf(c_166289,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_166224,c_1798]) ).
tcf(c_166292,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_166224,c_1389]) ).
tcf(c_166295,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_166224,c_1194]) ).
tcf(c_166298,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_166224,c_2072]) ).
tcf(c_166300,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_166224,c_1581]) ).
tcf(c_166301,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_166224,c_647]) ).
tcf(c_166302,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_166224,c_645]) ).
tcf(c_166303,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_166224,c_644]) ).
tcf(c_166304,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_166224,c_640]) ).
tcf(c_166305,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_166224,c_639]) ).
tcf(c_166306,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_166224,c_636]) ).
tcf(c_166307,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_166224,c_632]) ).
tcf(c_166308,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_166224,c_627]) ).
tcf(c_166320,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_166305,c_28669]) ).
tcf(c_166363,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_166281,c_28672]) ).
tcf(c_166385,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != sk_c2 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_166268,c_29043]) ).
tcf(c_166390,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_166267,c_629,c_29043]) ).
tcf(c_166713,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,sk_c10) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_18074,c_162388,c_162447,c_162478]) ).
tcf(c_166723,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(identity,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_162514,c_166713]) ).
tcf(c_166724,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(identity,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_162513,c_166713]) ).
tcf(c_166725,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(identity,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_162512,c_166713]) ).
tcf(c_166726,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(iPr_def_20,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_162483,c_166713]) ).
tcf(c_166727,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(iPr_def_20,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_162482,c_166713]) ).
tcf(c_166728,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_166224,c_166713]) ).
tcf(c_166729,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_164475,c_166713]) ).
tcf(c_166730,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_24) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_160947,c_166713]) ).
tcf(c_166731,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_160944,c_166713]) ).
tcf(c_166732,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_163464,c_166713]) ).
tcf(c_166733,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_163376,c_166713]) ).
tcf(c_166734,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_160394,c_166713]) ).
tcf(c_166735,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_157604,c_166713]) ).
tcf(c_166736,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_155565,c_166713]) ).
tcf(c_166737,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_155564,c_166713]) ).
tcf(c_166738,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_154923,c_166713]) ).
tcf(c_166739,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_158066,c_166713]) ).
tcf(c_166740,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_154058,c_166713]) ).
tcf(c_166741,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_136064,c_166713]) ).
tcf(c_166742,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_136098,c_166713]) ).
tcf(c_166743,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_18691,c_166713]) ).
tcf(c_166745,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2072,c_166713]) ).
tcf(c_166746,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2067,c_166713]) ).
tcf(c_166747,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1581,c_166713]) ).
tcf(c_166748,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_654,c_166713]) ).
tcf(c_167513,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_166320,c_157607]) ).
tcf(c_167515,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_166320,c_157605]) ).
tcf(c_167517,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_166320,c_136094]) ).
tcf(c_167518,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_166320,c_136093]) ).
tcf(c_167520,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_166320,c_18690]) ).
tcf(c_167522,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_166320,c_18688]) ).
tcf(c_167523,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_166320,c_17605]) ).
tcf(c_167524,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_166320,c_17582]) ).
tcf(c_167565,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160947,c_162783]) ).
tcf(c_167567,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163464,c_162783]) ).
tcf(c_167568,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163376,c_162783]) ).
tcf(c_167569,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160394,c_162783]) ).
tcf(c_167581,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2067,c_162783]) ).
tcf(c_167582,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1581,c_162783]) ).
tcf(c_167583,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_654,c_162783]) ).
tcf(c_167584,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_162783,c_647]) ).
tcf(c_167585,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_162783,c_645]) ).
tcf(c_167586,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_162783,c_644]) ).
tcf(c_167587,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_23),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_162783,c_16658]) ).
tcf(c_167589,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c11,sk_c10) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_162783,c_162538]) ).
tcf(c_167590,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_27,sk_c10) ) ),
inference(superposition,[status(thm)],[c_162783,c_8853]) ).
tcf(c_167592,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_162783,c_18666]) ).
tcf(c_167619,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( sk_c11 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_167586,c_19276]) ).
tcf(c_167624,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( sk_c10 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_167585,c_19276]) ).
tcf(c_167629,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_167584,c_19276]) ).
tcf(c_168015,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_166224,c_162816]) ).
tcf(c_168017,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160947,c_162816]) ).
tcf(c_168019,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163464,c_162816]) ).
tcf(c_168020,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163376,c_162816]) ).
tcf(c_168021,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_160394,c_162816]) ).
tcf(c_168034,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1581,c_162816]) ).
tcf(c_168035,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_654,c_162816]) ).
tcf(c_168036,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_162816,c_647]) ).
tcf(c_168037,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_162816,c_645]) ).
tcf(c_168038,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_162816,c_644]) ).
tcf(c_168039,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(inverse(iPr_def_23),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_162816,c_16658]) ).
tcf(c_168041,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c11,sk_c10) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_162816,c_162538]) ).
tcf(c_168042,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_27,sk_c10) ) ),
inference(superposition,[status(thm)],[c_162816,c_8853]) ).
tcf(c_168044,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_162816,c_18666]) ).
tcf(c_168071,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( sk_c11 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_168038,c_19276]) ).
tcf(c_168076,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c11 != iPr_def_24 )
| ( sk_c10 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_168037,c_19276]) ).
tcf(c_168081,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_168036,c_19276]) ).
tcf(c_168090,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_163111,c_16658]) ).
tcf(c_168092,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_163111,c_2915]) ).
tcf(c_168101,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(identity,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_162515,c_166713]) ).
tcf(c_168103,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162515,c_165686]) ).
tcf(c_168104,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162515,c_165685]) ).
tcf(c_168105,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162515,c_165684]) ).
tcf(c_168106,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c8,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_162515,c_165679]) ).
tcf(c_168109,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_162515,c_162446]) ).
tcf(c_168110,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_162515,c_162467]) ).
tcf(c_168111,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,identity) = identity ) ),
inference(superposition,[status(thm)],[c_162515,c_162476]) ).
tcf(c_168112,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(identity,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_162515,c_162448]) ).
tcf(c_168113,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( inverse(identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162515,c_162478]) ).
tcf(c_168115,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(identity,sk_c11) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162515,c_157657]) ).
tcf(c_168138,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c11) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_679,c_162539]) ).
tcf(c_168139,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c11) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_669,c_162539]) ).
tcf(c_168140,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c11) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_659,c_162539]) ).
tcf(c_168141,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c11) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_649,c_162539]) ).
tcf(c_168142,plain,
multiply(inverse(sk_c8),multiply(iPr_def_18,sk_c11)) = iPr_def_23,
inference(superposition,[status(thm)],[c_162539,c_16658]) ).
tcf(c_168143,plain,
! [X0: $i] : multiply(multiply(iPr_def_18,sk_c11),X0) = multiply(sk_c8,multiply(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_162539,c_105]) ).
tcf(c_168144,plain,
multiply(sk_c6,multiply(iPr_def_18,sk_c11)) = multiply(iPr_def_20,iPr_def_23),
inference(superposition,[status(thm)],[c_162539,c_144911]) ).
tcf(c_168145,plain,
multiply(sk_c7,multiply(iPr_def_18,sk_c11)) = multiply(iPr_def_16,iPr_def_23),
inference(superposition,[status(thm)],[c_162539,c_2899]) ).
tcf(c_168146,plain,
multiply(sk_c6,multiply(iPr_def_18,sk_c11)) = sk_c11,
inference(light_normalisation,[status(thm)],[c_168144,c_162391]) ).
tcf(c_168147,plain,
! [X0: $i] : multiply(multiply(iPr_def_18,sk_c11),X0) = multiply(iPr_def_18,multiply(sk_c11,X0)),
inference(light_normalisation,[status(thm)],[c_168143,c_165830]) ).
tcf(c_168183,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_162540,c_160941]) ).
tcf(c_168185,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162540,c_158346]) ).
tcf(c_168186,plain,
( ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162540,c_158058]) ).
tcf(c_168187,plain,
( ( sk_c11 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162540,c_157657]) ).
tcf(c_168190,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162540,c_136068]) ).
tcf(c_168191,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162540,c_136039]) ).
tcf(c_168192,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162540,c_136034]) ).
tcf(c_168193,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_162540,c_136033]) ).
tcf(c_168194,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_162540,c_136032]) ).
tcf(c_168195,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_162540,c_136029]) ).
tcf(c_168198,plain,
( ( sk_c11 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_162540,c_3771]) ).
tcf(c_168199,plain,
( ( sk_c11 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_162540,c_36104]) ).
tcf(c_168200,plain,
( ( sk_c11 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_162540,c_35440]) ).
tcf(c_168201,plain,
( ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_162540,c_13391]) ).
tcf(c_168203,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_162540,c_13387]) ).
tcf(c_168204,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_162540,c_4721]) ).
tcf(c_168205,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_162540,c_13385]) ).
tcf(c_168206,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162540,c_18905]) ).
tcf(c_168207,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162540,c_25664]) ).
tcf(c_168208,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162540,c_25578]) ).
tcf(c_168209,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162540,c_25067]) ).
tcf(c_168216,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_23 )
| ( multiply(sk_c10,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_162540,c_2894]) ).
tcf(c_168220,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162540,c_1877]) ).
tcf(c_168221,plain,
( ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162540,c_1052]) ).
tcf(c_168222,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162540,c_1446]) ).
tcf(c_168223,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_23 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_162540,c_646]) ).
tcf(c_168228,plain,
( ( sk_c11 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162540,c_627]) ).
tcf(c_168229,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_162540,c_651]) ).
tcf(c_168260,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_168206,c_7301]) ).
tcf(c_168279,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_168190,c_7301]) ).
tcf(c_168876,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162541,c_162540]) ).
tcf(c_168877,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_159645]) ).
tcf(c_168878,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_158943]) ).
tcf(c_168880,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_158699]) ).
tcf(c_168881,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_158346]) ).
tcf(c_168883,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162541,c_157657]) ).
tcf(c_168884,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_162541,c_154055]) ).
tcf(c_168885,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_162541,c_154052]) ).
tcf(c_168886,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_162541,c_154049]) ).
tcf(c_168893,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162541,c_136100]) ).
tcf(c_168894,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162541,c_136099]) ).
tcf(c_168897,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162541,c_36104]) ).
tcf(c_168898,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162541,c_35440]) ).
tcf(c_168899,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162541,c_13391]) ).
tcf(c_168900,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162541,c_13389]) ).
tcf(c_168901,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162541,c_13387]) ).
tcf(c_168902,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_162541,c_4721]) ).
tcf(c_168903,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162541,c_13385]) ).
tcf(c_168905,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162541,c_25664]) ).
tcf(c_168906,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162541,c_25578]) ).
tcf(c_168907,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162541,c_25067]) ).
tcf(c_168908,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_6460]) ).
tcf(c_168909,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_6316]) ).
tcf(c_168910,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_4849]) ).
tcf(c_168914,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_162541,c_2894]) ).
tcf(c_168921,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_1052]) ).
tcf(c_168923,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_162541,c_646]) ).
tcf(c_168924,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162541,c_684]) ).
tcf(c_168925,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162541,c_681]) ).
tcf(c_168926,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162541,c_674]) ).
tcf(c_168927,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162541,c_671]) ).
tcf(c_168928,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162541,c_664]) ).
tcf(c_168929,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162541,c_661]) ).
tcf(c_168930,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_627]) ).
tcf(c_169048,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_18,iPr_def_23) = multiply(iPr_def_18,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_162540,c_168138]) ).
tcf(c_169049,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_160941,c_168138]) ).
tcf(c_169056,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_25664,c_168138]) ).
tcf(c_169057,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_25578,c_168138]) ).
tcf(c_169058,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_25067,c_168138]) ).
tcf(c_169066,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1883,c_168138]) ).
tcf(c_169067,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1877,c_168138]) ).
tcf(c_169068,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1446,c_168138]) ).
tcf(c_169075,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_651,c_168138]) ).
tcf(c_169076,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_18,iPr_def_23)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_168138,c_16658]) ).
tcf(c_169077,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(multiply(iPr_def_18,iPr_def_23),X0) = multiply(iPr_def_18,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_168138,c_105]) ).
tcf(c_169078,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(iPr_def_18) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_168138,c_646]) ).
tcf(c_169079,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,iPr_def_23)) = multiply(iPr_def_16,sk_c11) ) ),
inference(superposition,[status(thm)],[c_168138,c_8170]) ).
tcf(c_169080,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_18,iPr_def_23)) = multiply(iPr_def_16,sk_c11) ) ),
inference(superposition,[status(thm)],[c_168138,c_8146]) ).
tcf(c_169081,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,multiply(iPr_def_18,iPr_def_23)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_168138,c_23873]) ).
tcf(c_169087,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169075,c_144146]) ).
tcf(c_169091,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169068,c_144146]) ).
tcf(c_169095,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169067,c_144146]) ).
tcf(c_169099,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169066,c_144146]) ).
tcf(c_169124,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != sk_c6 )
| ( multiply(iPr_def_18,iPr_def_23) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_169078,c_24629]) ).
tcf(c_169308,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_18,iPr_def_23) = multiply(iPr_def_18,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_162540,c_168139]) ).
tcf(c_169309,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_160941,c_168139]) ).
tcf(c_169316,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_25664,c_168139]) ).
tcf(c_169317,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_25578,c_168139]) ).
tcf(c_169318,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_25067,c_168139]) ).
tcf(c_169326,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1883,c_168139]) ).
tcf(c_169327,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1877,c_168139]) ).
tcf(c_169328,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1446,c_168139]) ).
tcf(c_169335,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_651,c_168139]) ).
tcf(c_169336,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_18,iPr_def_23)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_168139,c_16658]) ).
tcf(c_169337,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(multiply(iPr_def_18,iPr_def_23),X0) = multiply(iPr_def_18,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_168139,c_105]) ).
tcf(c_169338,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(iPr_def_18) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_168139,c_646]) ).
tcf(c_169339,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,iPr_def_23)) = multiply(iPr_def_16,sk_c11) ) ),
inference(superposition,[status(thm)],[c_168139,c_8170]) ).
tcf(c_169340,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_18,iPr_def_23)) = multiply(iPr_def_16,sk_c11) ) ),
inference(superposition,[status(thm)],[c_168139,c_8146]) ).
tcf(c_169341,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,multiply(iPr_def_18,iPr_def_23)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_168139,c_23873]) ).
tcf(c_169347,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169335,c_144146]) ).
tcf(c_169351,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169328,c_144146]) ).
tcf(c_169355,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169327,c_144146]) ).
tcf(c_169359,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169326,c_144146]) ).
tcf(c_169384,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != sk_c6 )
| ( multiply(iPr_def_18,iPr_def_23) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_169338,c_24629]) ).
tcf(c_169611,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_160941,c_168140]) ).
tcf(c_169618,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_25664,c_168140]) ).
tcf(c_169619,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_25578,c_168140]) ).
tcf(c_169620,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_25067,c_168140]) ).
tcf(c_169628,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1883,c_168140]) ).
tcf(c_169629,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1877,c_168140]) ).
tcf(c_169630,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1446,c_168140]) ).
tcf(c_169637,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_651,c_168140]) ).
tcf(c_169638,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_18,iPr_def_23)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_168140,c_16658]) ).
tcf(c_169639,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(multiply(iPr_def_18,iPr_def_23),X0) = multiply(iPr_def_18,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_168140,c_105]) ).
tcf(c_169640,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_11
| ( inverse(iPr_def_18) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_168140,c_646]) ).
tcf(c_169641,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,iPr_def_23)) = multiply(iPr_def_16,sk_c11) ) ),
inference(superposition,[status(thm)],[c_168140,c_8170]) ).
tcf(c_169642,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_18,iPr_def_23)) = multiply(iPr_def_16,sk_c11) ) ),
inference(superposition,[status(thm)],[c_168140,c_8146]) ).
tcf(c_169643,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_18,iPr_def_23)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_168140,c_23873]) ).
tcf(c_169651,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169637,c_144146]) ).
tcf(c_169655,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169630,c_144146]) ).
tcf(c_169659,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169629,c_144146]) ).
tcf(c_169663,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169628,c_144146]) ).
tcf(c_169682,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c11 != sk_c6 )
| ( multiply(iPr_def_18,iPr_def_23) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_169640,c_24629]) ).
tcf(c_169692,plain,
( ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = multiply(iPr_def_18,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_162540,c_168141]) ).
tcf(c_169693,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_160941,c_168141]) ).
tcf(c_169711,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1877,c_168141]) ).
tcf(c_169712,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1446,c_168141]) ).
tcf(c_169719,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_651,c_168141]) ).
tcf(c_169720,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_18,iPr_def_23)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_168141,c_16658]) ).
tcf(c_169721,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_23),X0) = multiply(iPr_def_18,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_168141,c_105]) ).
tcf(c_169722,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(iPr_def_18) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_168141,c_646]) ).
tcf(c_169723,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,iPr_def_23)) = multiply(iPr_def_16,sk_c11) ) ),
inference(superposition,[status(thm)],[c_168141,c_8170]) ).
tcf(c_169725,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_18,iPr_def_23)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_168141,c_23873]) ).
tcf(c_169728,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_169719,c_144146]) ).
tcf(c_169743,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c11 != sk_c6 )
| ( multiply(iPr_def_18,iPr_def_23) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_169722,c_24629]) ).
tcf(c_169785,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_168229,c_158943]) ).
tcf(c_169786,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_168229,c_160941]) ).
tcf(c_169787,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_168229,c_158699]) ).
tcf(c_169788,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_168229,c_158346]) ).
tcf(c_169790,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_168229,c_157657]) ).
tcf(c_169804,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_168229,c_36104]) ).
tcf(c_169805,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_168229,c_35440]) ).
tcf(c_169806,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_168229,c_13391]) ).
tcf(c_169807,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_168229,c_13389]) ).
tcf(c_169808,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_168229,c_13387]) ).
tcf(c_169809,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_168229,c_4721]) ).
tcf(c_169810,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_168229,c_13385]) ).
tcf(c_169821,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_168229,c_2894]) ).
tcf(c_169828,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_168229,c_1052]) ).
tcf(c_169830,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_168229,c_646]) ).
tcf(c_169837,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_168229,c_627]) ).
tcf(c_169838,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_168229,c_651]) ).
tcf(c_169854,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_169806,c_162391]) ).
tcf(c_169876,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_169810,c_162391]) ).
tcf(c_169881,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_169808,c_162391]) ).
tcf(c_169964,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_163112,c_16658]) ).
tcf(c_169966,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_163112,c_2914]) ).
tcf(c_169977,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_163113,c_16658]) ).
tcf(c_169979,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_163113,c_2919]) ).
tcf(c_169987,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_163115]) ).
tcf(c_169988,plain,
( ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162540,c_163115]) ).
tcf(c_170019,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),iPr_def_15) = multiply(sk_c7,sk_c11) ) ),
inference(superposition,[status(thm)],[c_163115,c_151467]) ).
tcf(c_170020,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,sk_c11) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163115,c_144621]) ).
tcf(c_170023,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_163115,c_7340]) ).
tcf(c_170024,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_163115,c_7338]) ).
tcf(c_170025,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_163115,c_7336]) ).
tcf(c_170026,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_163115,c_7334]) ).
tcf(c_170055,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160947,c_163341]) ).
tcf(c_170057,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163464,c_163341]) ).
tcf(c_170074,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163341,c_16658]) ).
tcf(c_170078,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163341,c_2901]) ).
tcf(c_170079,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163341,c_2900]) ).
tcf(c_170080,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163341,c_2898]) ).
tcf(c_170081,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163341,c_2896]) ).
tcf(c_170085,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_170081,c_12244]) ).
tcf(c_170088,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_170080,c_12854]) ).
tcf(c_170091,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_170079,c_13499]) ).
tcf(c_170094,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_170078,c_14259]) ).
tcf(c_170132,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162542,c_163115]) ).
tcf(c_170133,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162542,c_162540]) ).
tcf(c_170135,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162542,c_158943]) ).
tcf(c_170138,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162542,c_158346]) ).
tcf(c_170140,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162542,c_157657]) ).
tcf(c_170141,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_162542,c_154055]) ).
tcf(c_170142,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_162542,c_154052]) ).
tcf(c_170143,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_162542,c_154049]) ).
tcf(c_170150,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162542,c_136100]) ).
tcf(c_170151,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162542,c_136099]) ).
tcf(c_170154,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162542,c_36104]) ).
tcf(c_170155,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162542,c_35440]) ).
tcf(c_170156,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162542,c_13391]) ).
tcf(c_170157,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162542,c_13389]) ).
tcf(c_170158,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162542,c_13387]) ).
tcf(c_170159,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_162542,c_4721]) ).
tcf(c_170160,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162542,c_13385]) ).
tcf(c_170162,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162542,c_25664]) ).
tcf(c_170167,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162542,c_4849]) ).
tcf(c_170171,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_162542,c_2894]) ).
tcf(c_170178,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162542,c_1052]) ).
tcf(c_170180,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_162542,c_646]) ).
tcf(c_170181,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162542,c_684]) ).
tcf(c_170182,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162542,c_681]) ).
tcf(c_170183,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162542,c_674]) ).
tcf(c_170184,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162542,c_671]) ).
tcf(c_170185,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162542,c_664]) ).
tcf(c_170186,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162542,c_661]) ).
tcf(c_170187,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162542,c_627]) ).
tcf(c_170573,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162543,c_163115]) ).
tcf(c_170575,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162543,c_159645]) ).
tcf(c_170581,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162543,c_157657]) ).
tcf(c_170583,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_162543,c_154052]) ).
tcf(c_170584,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_29 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_162543,c_154049]) ).
tcf(c_170591,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162543,c_136100]) ).
tcf(c_170592,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162543,c_136099]) ).
tcf(c_170595,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162543,c_36104]) ).
tcf(c_170596,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162543,c_35440]) ).
tcf(c_170598,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162543,c_13389]) ).
tcf(c_170599,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162543,c_13387]) ).
tcf(c_170601,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_162543,c_13385]) ).
tcf(c_170605,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162543,c_25067]) ).
tcf(c_170606,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162543,c_6460]) ).
tcf(c_170612,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_162543,c_2894]) ).
tcf(c_170621,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_162543,c_646]) ).
tcf(c_170622,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162543,c_684]) ).
tcf(c_170623,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162543,c_681]) ).
tcf(c_170624,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_162543,c_674]) ).
tcf(c_170625,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162543,c_671]) ).
tcf(c_170628,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162543,c_627]) ).
tcf(c_170755,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_163341]) ).
tcf(c_170756,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163392,c_162816]) ).
tcf(c_170757,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163392,c_162783]) ).
tcf(c_170758,plain,
( ( iPr_def_16 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_163392,c_166713]) ).
tcf(c_170761,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_163392,c_164475]) ).
tcf(c_170762,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_163392,c_160947]) ).
tcf(c_170763,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_163392,c_160944]) ).
tcf(c_170764,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_163376]) ).
tcf(c_170765,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_160394]) ).
tcf(c_170766,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_163392,c_157604]) ).
tcf(c_170767,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_155640]) ).
tcf(c_170769,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_163392,c_155564]) ).
tcf(c_170770,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_163392,c_154923]) ).
tcf(c_170771,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_155000]) ).
tcf(c_170773,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_163392,c_154058]) ).
tcf(c_170774,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_154412]) ).
tcf(c_170775,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163392,c_146661]) ).
tcf(c_170776,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163392,c_146660]) ).
tcf(c_170777,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163392,c_146659]) ).
tcf(c_170778,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_163392,c_146658]) ).
tcf(c_170779,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_163392,c_8520]) ).
tcf(c_170782,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_163392,c_8351]) ).
tcf(c_170785,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_163392,c_7950]) ).
tcf(c_170786,plain,
( ( iPr_def_16 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_3968]) ).
tcf(c_170787,plain,
( ( iPr_def_16 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_3562]) ).
tcf(c_170788,plain,
( ( iPr_def_16 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163392,c_2792]) ).
tcf(c_170789,plain,
( ( iPr_def_16 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163392,c_3768]) ).
tcf(c_170790,plain,
( ( iPr_def_16 = iPr_def_17 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163392,c_35960]) ).
tcf(c_170791,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_163392,c_7548]) ).
tcf(c_170792,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_26859]) ).
tcf(c_170793,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_26158]) ).
tcf(c_170798,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163392,c_18691]) ).
tcf(c_170799,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_163392,c_16676]) ).
tcf(c_170801,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_5376]) ).
tcf(c_170802,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_4324]) ).
tcf(c_170803,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_163392,c_2901]) ).
tcf(c_170804,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_163392,c_2900]) ).
tcf(c_170805,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_163392,c_2898]) ).
tcf(c_170806,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_163392,c_2896]) ).
tcf(c_170807,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_163392,c_2894]) ).
tcf(c_170808,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_2077]) ).
tcf(c_170809,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_1885]) ).
tcf(c_170811,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163392,c_1798]) ).
tcf(c_170812,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_1586]) ).
tcf(c_170813,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_1448]) ).
tcf(c_170814,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163392,c_1389]) ).
tcf(c_170815,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_1272]) ).
tcf(c_170816,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163392,c_1196]) ).
tcf(c_170817,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163392,c_1194]) ).
tcf(c_170818,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_1135]) ).
tcf(c_170819,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_1054]) ).
tcf(c_170821,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_163392,c_2067]) ).
tcf(c_170822,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_163392,c_1581]) ).
tcf(c_170823,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_163392,c_647]) ).
tcf(c_170824,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163392,c_645]) ).
tcf(c_170825,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_163392,c_644]) ).
tcf(c_170826,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_163392,c_640]) ).
tcf(c_170827,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163392,c_639]) ).
tcf(c_170828,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_163392,c_636]) ).
tcf(c_170829,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163392,c_632]) ).
tcf(c_170830,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163392,c_627]) ).
tcf(c_170831,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_163392,c_654]) ).
tcf(c_170834,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_170829,c_12854]) ).
tcf(c_170837,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_170828,c_12244]) ).
tcf(c_170840,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_170827,c_14259]) ).
tcf(c_170843,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_170826,c_13499]) ).
tcf(c_170922,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_170806,c_12263]) ).
tcf(c_170925,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_170805,c_12873]) ).
tcf(c_170928,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_170804,c_13518]) ).
tcf(c_170931,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_170803,c_14278]) ).
tcf(c_171058,plain,
( ( sk_c11 = iPr_def_27 )
| ( iPr_def_27 != multiply(identity,multiply(identity,sk_c11)) )
| ( sk_c11 != multiply(identity,multiply(identity,sk_c11)) ) ),
inference(instantiation,[status(thm)],[c_105813]) ).
tcf(c_171533,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163481,c_163115]) ).
tcf(c_171536,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_163481,c_168140]) ).
tcf(c_171537,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_163481,c_168139]) ).
tcf(c_171538,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_163481,c_168138]) ).
tcf(c_171540,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( sk_c11 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163481,c_162540]) ).
tcf(c_171547,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_163481,c_157657]) ).
tcf(c_171560,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163481,c_3771]) ).
tcf(c_171561,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163481,c_36104]) ).
tcf(c_171562,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_163481,c_35440]) ).
tcf(c_171564,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_163481,c_13389]) ).
tcf(c_171565,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_163481,c_13387]) ).
tcf(c_171567,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_163481,c_13385]) ).
tcf(c_171568,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163481,c_18905]) ).
tcf(c_171572,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163481,c_6460]) ).
tcf(c_171573,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163481,c_6316]) ).
tcf(c_171574,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163481,c_4849]) ).
tcf(c_171578,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_163481,c_2894]) ).
tcf(c_171583,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_163481,c_646]) ).
tcf(c_171590,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_163481,c_627]) ).
tcf(c_171593,plain,
( ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_171547,c_162448]) ).
tcf(c_171632,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_171538,c_144146]) ).
tcf(c_171636,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_171537,c_144146]) ).
tcf(c_171640,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_171536,c_144146]) ).
tcf(c_171644,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_171560,c_162447,c_162478]) ).
tcf(c_171680,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_169838,c_163392]) ).
tcf(c_171682,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_23,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_169838,c_162816]) ).
tcf(c_171683,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_23,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_169838,c_162783]) ).
tcf(c_171684,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_169838,c_166713]) ).
tcf(c_171686,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_169838,c_160947]) ).
tcf(c_171687,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_169838,c_163464]) ).
tcf(c_171689,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_155640]) ).
tcf(c_171691,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_169838,c_155564]) ).
tcf(c_171692,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_169838,c_154923]) ).
tcf(c_171694,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_169838,c_158066]) ).
tcf(c_171697,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_169838,c_146660]) ).
tcf(c_171698,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_169838,c_146659]) ).
tcf(c_171699,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_169838,c_146658]) ).
tcf(c_171703,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_169838,c_8351]) ).
tcf(c_171704,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_136066]) ).
tcf(c_171706,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_169838,c_7950]) ).
tcf(c_171707,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_169838,c_3968]) ).
tcf(c_171708,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_169838,c_3562]) ).
tcf(c_171709,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_169838,c_2792]) ).
tcf(c_171710,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_169838,c_3768]) ).
tcf(c_171711,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( identity != iPr_def_17 )
| ( sk_c10 != sk_c11 ) ),
inference(superposition,[status(thm)],[c_169838,c_35960]) ).
tcf(c_171713,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_26859]) ).
tcf(c_171714,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_26158]) ).
tcf(c_171719,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_169838,c_16676]) ).
tcf(c_171721,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_5376]) ).
tcf(c_171722,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_4324]) ).
tcf(c_171723,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_169838,c_2901]) ).
tcf(c_171724,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_169838,c_2900]) ).
tcf(c_171725,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_169838,c_2898]) ).
tcf(c_171726,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_169838,c_2896]) ).
tcf(c_171727,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_169838,c_2894]) ).
tcf(c_171728,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_2077]) ).
tcf(c_171729,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_1885]) ).
tcf(c_171731,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_169838,c_1798]) ).
tcf(c_171732,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_1586]) ).
tcf(c_171733,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_1448]) ).
tcf(c_171734,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_169838,c_1389]) ).
tcf(c_171735,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_1272]) ).
tcf(c_171737,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_169838,c_1194]) ).
tcf(c_171738,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_1135]) ).
tcf(c_171741,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_169838,c_2067]) ).
tcf(c_171742,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_169838,c_1581]) ).
tcf(c_171743,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_169838,c_647]) ).
tcf(c_171744,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_169838,c_645]) ).
tcf(c_171745,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_169838,c_644]) ).
tcf(c_171746,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_169838,c_640]) ).
tcf(c_171747,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_169838,c_639]) ).
tcf(c_171748,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_169838,c_636]) ).
tcf(c_171749,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_169838,c_632]) ).
tcf(c_171750,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_169838,c_627]) ).
tcf(c_171751,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_169838,c_654]) ).
tcf(c_171761,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_171747,c_28669]) ).
tcf(c_171850,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_171723,c_28672]) ).
tcf(c_171897,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c11 != sk_c2 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_171710,c_29043]) ).
tcf(c_171903,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_17 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_171709,c_629,c_29043]) ).
tcf(c_171909,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c11 != identity ) ),
inference(ground_joinability,[status(thm)],[c_171708,c_629,c_29043]) ).
tcf(c_171914,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_171707,c_629,c_29043]) ).
tcf(c_171919,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_171706,c_7304]) ).
tcf(c_172173,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,identity) = multiply(iPr_def_28,sk_c4) ) ),
inference(superposition,[status(thm)],[c_1257,c_8957]) ).
tcf(c_172174,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(sk_c4,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_2919,c_8957]) ).
tcf(c_172175,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_28,sk_c10) ) ),
inference(superposition,[status(thm)],[c_162816,c_8957]) ).
tcf(c_172176,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_28,sk_c10) ) ),
inference(superposition,[status(thm)],[c_162783,c_8957]) ).
tcf(c_172180,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,sk_c10) = multiply(iPr_def_28,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7556,c_8957]) ).
tcf(c_172181,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_28,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_7628,c_8957]) ).
tcf(c_172182,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_160912,c_8957]) ).
tcf(c_172183,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_8957]) ).
tcf(c_172184,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c1),multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_8957,c_16658]) ).
tcf(c_172185,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(multiply(iPr_def_23,X0),X1)) = multiply(multiply(iPr_def_28,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8957,c_105]) ).
tcf(c_172186,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_29,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_8957,c_2915]) ).
tcf(c_172191,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_24) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_172180,c_28510]) ).
tcf(c_172200,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(iPr_def_24,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_172181,c_2900]) ).
tcf(c_172291,plain,
sk_c10 = iPr_def_15,
inference(global_subsumption_just,[status(thm)],[c_163450,c_158,c_704,c_627,c_629,c_632,c_635,c_641,c_1040,c_2546,c_2963,c_4190,c_4191,c_4192,c_4401,c_4402,c_4420,c_8676,c_9221,c_19081,c_19082,c_19220,c_31378,c_36373,c_37872,c_49143,c_49845,c_50112,c_50689,c_54806,c_55946,c_56606,c_64122,c_74699,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_100907,c_105673,c_105695,c_105714,c_105733,c_105734,c_105749,c_105926,c_105927,c_105934,c_105961,c_106145,c_106191,c_106493,c_106615,c_106831,c_106830,c_107030,c_107163,c_107164,c_107258,c_109400,c_114960,c_118915,c_121799,c_121798,c_124140,c_131216,c_132177,c_132557,c_136064,c_163487,c_163481,c_165087,c_165088,c_171593]) ).
tcf(c_172293,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(demodulation,[status(thm)],[c_8957,c_172291]) ).
tcf(c_172294,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_169838,c_172291]) ).
tcf(c_172295,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_163341,c_172291]) ).
tcf(c_172299,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_168229,c_172291]) ).
tcf(c_172300,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c11) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(demodulation,[status(thm)],[c_168141,c_172291]) ).
tcf(c_172302,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_162816,c_172291]) ).
tcf(c_172303,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_162783,c_172291]) ).
tcf(c_172304,plain,
( ~ iPr_def_10
| ( iPr_def_15 != iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_166713,c_172291]) ).
tcf(c_172305,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_166224,c_172291]) ).
tcf(c_172306,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_162749,c_172291]) ).
tcf(c_172307,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_165687,c_172291]) ).
tcf(c_172308,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_164475,c_172291]) ).
tcf(c_172309,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_160947,c_172291]) ).
tcf(c_172310,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_160944,c_172291]) ).
tcf(c_172311,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c4 = identity ) ),
inference(demodulation,[status(thm)],[c_160942,c_172291]) ).
tcf(c_172312,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(demodulation,[status(thm)],[c_8853,c_172291]) ).
tcf(c_172313,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_160941,c_172291]) ).
tcf(c_172314,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_157604,c_172291]) ).
tcf(c_172315,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_160912,c_172291]) ).
tcf(c_172316,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_158058,c_172291]) ).
tcf(c_172317,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_158057,c_172291]) ).
tcf(c_172318,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_158056,c_172291]) ).
tcf(c_172319,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_158054,c_172291]) ).
tcf(c_172320,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_155640,c_172291]) ).
tcf(c_172321,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_155565,c_172291]) ).
tcf(c_172322,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_155564,c_172291]) ).
tcf(c_172323,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_154923,c_172291]) ).
tcf(c_172324,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_155000,c_172291]) ).
tcf(c_172326,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_158192,c_172291]) ).
tcf(c_172327,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_154058,c_172291]) ).
tcf(c_172328,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_154412,c_172291]) ).
tcf(c_172329,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_157805,c_172291]) ).
tcf(c_172330,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_154055,c_172291]) ).
tcf(c_172331,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_154052,c_172291]) ).
tcf(c_172332,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_154049,c_172291]) ).
tcf(c_172333,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_151531,c_172291]) ).
tcf(c_172334,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = multiply(iPr_def_18,iPr_def_16) ) ),
inference(demodulation,[status(thm)],[c_151333,c_172291]) ).
tcf(c_172335,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_151356,c_172291]) ).
tcf(c_172336,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(demodulation,[status(thm)],[c_146661,c_172291]) ).
tcf(c_172337,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(demodulation,[status(thm)],[c_146660,c_172291]) ).
tcf(c_172338,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(demodulation,[status(thm)],[c_146659,c_172291]) ).
tcf(c_172339,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(demodulation,[status(thm)],[c_146658,c_172291]) ).
tcf(c_172340,plain,
multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_15),
inference(demodulation,[status(thm)],[c_144278,c_172291]) ).
tcf(c_172341,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(demodulation,[status(thm)],[c_8520,c_172291]) ).
tcf(c_172344,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(demodulation,[status(thm)],[c_8351,c_172291]) ).
tcf(c_172346,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_145079,c_172291]) ).
tcf(c_172347,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_144901,c_172291]) ).
tcf(c_172350,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(demodulation,[status(thm)],[c_8170,c_172291]) ).
tcf(c_172351,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(demodulation,[status(thm)],[c_7950,c_172291]) ).
tcf(c_172352,plain,
( ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_3968,c_172291]) ).
tcf(c_172353,plain,
( ~ iPr_def_11
| ( identity != iPr_def_15 )
| ( inverse(inverse(sk_c11)) != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_3771,c_172291]) ).
tcf(c_172354,plain,
( ~ iPr_def_12
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_3562,c_172291]) ).
tcf(c_172355,plain,
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_2792,c_172291]) ).
tcf(c_172356,plain,
( ~ iPr_def_10
| ( identity != iPr_def_15 )
| ( sk_c9 != iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_36349,c_172291]) ).
tcf(c_172357,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(sk_c8) != iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_3964,c_172291]) ).
tcf(c_172358,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(demodulation,[status(thm)],[c_36104,c_172291]) ).
tcf(c_172359,plain,
( ~ iPr_def_11
| ( iPr_def_15 != iPr_def_15 )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_3768,c_172291]) ).
tcf(c_172360,plain,
( ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c11 != iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_35960,c_172291]) ).
tcf(c_172361,plain,
( ~ iPr_def_12
| ( inverse(sk_c8) != iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_35741,c_172291]) ).
tcf(c_172362,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(demodulation,[status(thm)],[c_35440,c_172291]) ).
tcf(c_172363,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(demodulation,[status(thm)],[c_31217,c_172291]) ).
tcf(c_172364,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(demodulation,[status(thm)],[c_7548,c_172291]) ).
tcf(c_172365,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_26859,c_172291]) ).
tcf(c_172366,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_26158,c_172291]) ).
tcf(c_172367,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_25333,c_172291]) ).
tcf(c_172368,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_23839,c_172291]) ).
tcf(c_172369,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,sk_c11) ) ),
inference(demodulation,[status(thm)],[c_13391,c_172291]) ).
tcf(c_172370,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(demodulation,[status(thm)],[c_4721,c_172291]) ).
tcf(c_172371,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(demodulation,[status(thm)],[c_7342,c_172291]) ).
tcf(c_172374,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(demodulation,[status(thm)],[c_23948,c_172291]) ).
tcf(c_172375,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c7 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_22372,c_172291]) ).
tcf(c_172376,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(iPr_def_15,X0),
inference(demodulation,[status(thm)],[c_7628,c_172291]) ).
tcf(c_172377,plain,
! [X0: $i] : multiply(iPr_def_29,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0),
inference(demodulation,[status(thm)],[c_7323,c_172291]) ).
tcf(c_172378,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0),
inference(demodulation,[status(thm)],[c_7304,c_172291]) ).
tcf(c_172380,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_18691,c_172291]) ).
tcf(c_172381,plain,
multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15,
inference(demodulation,[status(thm)],[c_16680,c_172291]) ).
tcf(c_172382,plain,
multiply(inverse(iPr_def_15),iPr_def_15) = sk_c11,
inference(demodulation,[status(thm)],[c_16676,c_172291]) ).
tcf(c_172383,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_5591,c_172291]) ).
tcf(c_172384,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_5376,c_172291]) ).
tcf(c_172386,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_4324,c_172291]) ).
tcf(c_172387,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0),
inference(demodulation,[status(thm)],[c_2901,c_172291]) ).
tcf(c_172389,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0),
inference(demodulation,[status(thm)],[c_2900,c_172291]) ).
tcf(c_172390,plain,
multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15),
inference(demodulation,[status(thm)],[c_13432,c_172291]) ).
tcf(c_172391,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0),
inference(demodulation,[status(thm)],[c_2898,c_172291]) ).
tcf(c_172393,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0),
inference(demodulation,[status(thm)],[c_2896,c_172291]) ).
tcf(c_172394,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0),
inference(demodulation,[status(thm)],[c_2894,c_172291]) ).
tcf(c_172395,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_8516,c_172291]) ).
tcf(c_172396,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_4720,c_172291]) ).
tcf(c_172399,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_2077,c_172291]) ).
tcf(c_172400,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_29) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1885,c_172291]) ).
tcf(c_172402,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1798,c_172291]) ).
tcf(c_172403,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(demodulation,[status(thm)],[c_1688,c_172291]) ).
tcf(c_172405,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1586,c_172291]) ).
tcf(c_172406,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1448,c_172291]) ).
tcf(c_172407,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1389,c_172291]) ).
tcf(c_172408,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1272,c_172291]) ).
tcf(c_172409,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_1251,c_172291]) ).
tcf(c_172410,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1245,c_172291]) ).
tcf(c_172411,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1196,c_172291]) ).
tcf(c_172412,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1194,c_172291]) ).
tcf(c_172413,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1135,c_172291]) ).
tcf(c_172414,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_2659,c_172291]) ).
tcf(c_172415,plain,
multiply(iPr_def_23,iPr_def_24) = iPr_def_15,
inference(demodulation,[status(thm)],[c_7556,c_172291]) ).
tcf(c_172416,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1054,c_172291]) ).
tcf(c_172417,plain,
multiply(iPr_def_29,iPr_def_28) = iPr_def_15,
inference(demodulation,[status(thm)],[c_7320,c_172291]) ).
tcf(c_172418,plain,
multiply(iPr_def_17,iPr_def_27) = iPr_def_15,
inference(demodulation,[status(thm)],[c_7301,c_172291]) ).
tcf(c_172422,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1052,c_172291]) ).
tcf(c_172423,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),iPr_def_15) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(demodulation,[status(thm)],[c_643,c_172291]) ).
tcf(c_172424,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != iPr_def_15 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_647,c_172291]) ).
tcf(c_172425,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_646,c_172291]) ).
tcf(c_172426,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != iPr_def_15 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_645,c_172291]) ).
tcf(c_172427,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_644,c_172291]) ).
tcf(c_172428,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c9 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_694,c_172291]) ).
tcf(c_172429,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_684,c_172291]) ).
tcf(c_172430,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_674,c_172291]) ).
tcf(c_172431,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_664,c_172291]) ).
tcf(c_172432,plain,
multiply(sk_c1,iPr_def_15) = iPr_def_28,
inference(demodulation,[status(thm)],[c_640,c_172291]) ).
tcf(c_172433,plain,
multiply(sk_c2,iPr_def_15) = iPr_def_27,
inference(demodulation,[status(thm)],[c_639,c_172291]) ).
tcf(c_172434,plain,
multiply(sk_c4,iPr_def_15) = iPr_def_24,
inference(demodulation,[status(thm)],[c_636,c_172291]) ).
tcf(c_172435,plain,
multiply(sk_c8,iPr_def_15) = iPr_def_20,
inference(demodulation,[status(thm)],[c_632,c_172291]) ).
tcf(c_172436,plain,
multiply(iPr_def_15,sk_c11) = iPr_def_15,
inference(demodulation,[status(thm)],[c_627,c_172291]) ).
tcf(c_172437,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_655,c_172291]) ).
tcf(c_172438,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_654,c_172291]) ).
tcf(c_172439,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_651,c_172291]) ).
tcf(c_172440,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_649,c_172291]) ).
tcf(c_172441,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c6 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_648,c_172291]) ).
tcf(c_172624,plain,
( ~ iPr_def_11
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(equality_resolution_simp,[status(thm)],[c_172359]) ).
tcf(c_172678,plain,
multiply(iPr_def_27,sk_c11) = iPr_def_27,
inference(demodulation,[status(thm)],[c_14259,c_172433]) ).
tcf(c_172679,plain,
multiply(iPr_def_28,sk_c11) = iPr_def_28,
inference(demodulation,[status(thm)],[c_13499,c_172432]) ).
tcf(c_172680,plain,
multiply(iPr_def_24,sk_c11) = iPr_def_24,
inference(demodulation,[status(thm)],[c_12244,c_172434]) ).
tcf(c_172681,plain,
multiply(iPr_def_20,sk_c11) = iPr_def_20,
inference(demodulation,[status(thm)],[c_12854,c_172435]) ).
tcf(c_172709,plain,
multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_24,
inference(superposition,[status(thm)],[c_172415,c_16658]) ).
tcf(c_172711,plain,
multiply(sk_c11,iPr_def_24) = multiply(iPr_def_20,iPr_def_15),
inference(superposition,[status(thm)],[c_172415,c_162538]) ).
tcf(c_172714,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_159634,c_172417]) ).
tcf(c_172715,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158689,c_172417]) ).
tcf(c_172716,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157602,c_172417]) ).
tcf(c_172717,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157597,c_172417]) ).
tcf(c_172718,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157565,c_172417]) ).
tcf(c_172719,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157563,c_172417]) ).
tcf(c_172720,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136092,c_172417]) ).
tcf(c_172721,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136087,c_172417]) ).
tcf(c_172722,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26130,c_172417]) ).
tcf(c_172723,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25304,c_172417]) ).
tcf(c_172724,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_158934,c_172417]) ).
tcf(c_172725,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157596,c_172417]) ).
tcf(c_172726,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_157564,c_172417]) ).
tcf(c_172727,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136089,c_172417]) ).
tcf(c_172728,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26837,c_172417]) ).
tcf(c_172729,plain,
multiply(inverse(iPr_def_29),iPr_def_15) = iPr_def_28,
inference(superposition,[status(thm)],[c_172417,c_16658]) ).
tcf(c_172763,plain,
multiply(inverse(iPr_def_17),iPr_def_15) = iPr_def_27,
inference(superposition,[status(thm)],[c_172418,c_16658]) ).
tcf(c_172767,plain,
multiply(inverse(sk_c1),iPr_def_28) = iPr_def_15,
inference(superposition,[status(thm)],[c_172432,c_16658]) ).
tcf(c_172771,plain,
multiply(inverse(sk_c2),iPr_def_27) = iPr_def_15,
inference(superposition,[status(thm)],[c_172433,c_16658]) ).
tcf(c_172778,plain,
multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15,
inference(superposition,[status(thm)],[c_172434,c_16658]) ).
tcf(c_172825,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172429,c_162543]) ).
tcf(c_172826,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172429,c_162542]) ).
tcf(c_172830,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172429,c_162541]) ).
tcf(c_172836,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172429,c_157657]) ).
tcf(c_172840,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172429,c_18905]) ).
tcf(c_172841,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172429,c_25664]) ).
tcf(c_172842,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172429,c_25578]) ).
tcf(c_172843,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172429,c_25067]) ).
tcf(c_172849,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172429,c_1883]) ).
tcf(c_172850,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172429,c_1877]) ).
tcf(c_172851,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172429,c_1446]) ).
tcf(c_172908,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172430,c_162543]) ).
tcf(c_172909,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172430,c_162542]) ).
tcf(c_172913,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172430,c_162541]) ).
tcf(c_172919,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172430,c_157657]) ).
tcf(c_172923,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172430,c_18905]) ).
tcf(c_172924,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172430,c_25664]) ).
tcf(c_172925,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172430,c_25578]) ).
tcf(c_172926,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172430,c_25067]) ).
tcf(c_172932,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172430,c_1883]) ).
tcf(c_172933,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172430,c_1877]) ).
tcf(c_172934,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172430,c_1446]) ).
tcf(c_173002,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172431,c_157657]) ).
tcf(c_173007,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172431,c_25664]) ).
tcf(c_173008,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172431,c_25578]) ).
tcf(c_173009,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172431,c_25067]) ).
tcf(c_173043,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172437,c_642]) ).
tcf(c_173057,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172438,c_172415]) ).
tcf(c_173058,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_172438,c_162539]) ).
tcf(c_173059,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_172438,c_162538]) ).
tcf(c_173060,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_172438,c_162391]) ).
tcf(c_173064,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172438,c_18666]) ).
tcf(c_173065,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_172438,c_19276]) ).
tcf(c_173066,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_172438,c_18663]) ).
tcf(c_173076,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c4,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172438,c_2919]) ).
tcf(c_173077,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c4) = identity ) ),
inference(superposition,[status(thm)],[c_172438,c_1257]) ).
tcf(c_173090,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_173058,c_172435]) ).
tcf(c_173125,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_172439,c_168140]) ).
tcf(c_173126,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_172439,c_168139]) ).
tcf(c_173127,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_20) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_172439,c_168138]) ).
tcf(c_173131,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172439,c_158943]) ).
tcf(c_173132,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172439,c_158699]) ).
tcf(c_173133,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172439,c_158346]) ).
tcf(c_173134,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172439,c_157657]) ).
tcf(c_173162,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_173127,c_144146]) ).
tcf(c_173166,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_173126,c_144146]) ).
tcf(c_173170,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_173125,c_144146]) ).
tcf(c_173180,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_18) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_172440,c_165690]) ).
tcf(c_173183,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_172440,c_151467]) ).
tcf(c_173184,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_172440,c_151362]) ).
tcf(c_173187,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_172440,c_144911]) ).
tcf(c_173192,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172440,c_144279]) ).
tcf(c_173193,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_172440,c_35327]) ).
tcf(c_173197,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172440,c_23284]) ).
tcf(c_173201,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172440,c_628]) ).
tcf(c_173202,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c3) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_173201,c_165693]) ).
tcf(c_173206,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_173184,c_24629,c_151364]) ).
tcf(c_173209,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c3 = identity ) ),
inference(light_normalisation,[status(thm)],[c_173180,c_23870,c_24629]) ).
tcf(c_173212,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_173193,c_24629]) ).
tcf(c_173220,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_173183,c_24629]) ).
tcf(c_173224,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_8967,c_157465,c_172291]) ).
tcf(c_173237,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_160333,c_173224]) ).
tcf(c_173238,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_136046,c_173224]) ).
tcf(c_173239,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_28791,c_173224]) ).
tcf(c_173240,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c3,identity) = multiply(iPr_def_23,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_136012,c_173224]) ).
tcf(c_173241,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(sk_c3,identity) = multiply(iPr_def_23,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_33816,c_173224]) ).
tcf(c_173242,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_27) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_173224]) ).
tcf(c_173243,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(inverse(sk_c3),multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_173224,c_16658]) ).
tcf(c_173244,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c3,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1) ) ),
inference(superposition,[status(thm)],[c_173224,c_105]) ).
tcf(c_173245,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_173224,c_162467]) ).
tcf(c_173248,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_173245,c_162538]) ).
tcf(c_173278,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162543,c_172436]) ).
tcf(c_173279,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162542,c_172436]) ).
tcf(c_173280,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162541,c_172436]) ).
tcf(c_173281,plain,
( ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_162540,c_172436]) ).
tcf(c_173310,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_172439,c_172678]) ).
tcf(c_173311,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_172431,c_172678]) ).
tcf(c_173312,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_172430,c_172678]) ).
tcf(c_173313,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_172429,c_172678]) ).
tcf(c_173314,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_162543,c_172678]) ).
tcf(c_173315,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_162542,c_172678]) ).
tcf(c_173316,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_162541,c_172678]) ).
tcf(c_173317,plain,
( ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_162540,c_172678]) ).
tcf(c_173321,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25664,c_172678]) ).
tcf(c_173322,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25578,c_172678]) ).
tcf(c_173323,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_25067,c_172678]) ).
tcf(c_173327,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1883,c_172678]) ).
tcf(c_173328,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1877,c_172678]) ).
tcf(c_173329,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1446,c_172678]) ).
tcf(c_173330,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_172678]) ).
tcf(c_173331,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_172678]) ).
tcf(c_173332,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_661,c_172678]) ).
tcf(c_173333,plain,
multiply(inverse(iPr_def_27),iPr_def_27) = sk_c11,
inference(superposition,[status(thm)],[c_172678,c_16658]) ).
tcf(c_173334,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_172678,c_105]) ).
tcf(c_173335,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_27) = multiply(iPr_def_23,sk_c11) ) ),
inference(superposition,[status(thm)],[c_172678,c_173224]) ).
tcf(c_173336,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_172678,c_160333]) ).
tcf(c_173337,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = multiply(iPr_def_23,sk_c11) ) ),
inference(superposition,[status(thm)],[c_172678,c_160435]) ).
tcf(c_173339,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_172678,c_28791]) ).
tcf(c_173388,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_172439,c_172679]) ).
tcf(c_173389,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_172431,c_172679]) ).
tcf(c_173390,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_172430,c_172679]) ).
tcf(c_173391,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_172429,c_172679]) ).
tcf(c_173392,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_162543,c_172679]) ).
tcf(c_173393,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_162542,c_172679]) ).
tcf(c_173394,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_162541,c_172679]) ).
tcf(c_173395,plain,
( ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_162540,c_172679]) ).
tcf(c_173399,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25664,c_172679]) ).
tcf(c_173400,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25578,c_172679]) ).
tcf(c_173401,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_25067,c_172679]) ).
tcf(c_173405,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1883,c_172679]) ).
tcf(c_173406,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1877,c_172679]) ).
tcf(c_173407,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1446,c_172679]) ).
tcf(c_173408,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_681,c_172679]) ).
tcf(c_173409,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_172679]) ).
tcf(c_173410,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_661,c_172679]) ).
tcf(c_173411,plain,
multiply(inverse(iPr_def_28),iPr_def_28) = sk_c11,
inference(superposition,[status(thm)],[c_172679,c_16658]) ).
tcf(c_173412,plain,
! [X0: $i] : multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_172679,c_105]) ).
tcf(c_173451,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172439,c_172680]) ).
tcf(c_173452,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172431,c_172680]) ).
tcf(c_173453,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172430,c_172680]) ).
tcf(c_173454,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172429,c_172680]) ).
tcf(c_173455,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_162543,c_172680]) ).
tcf(c_173456,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_162542,c_172680]) ).
tcf(c_173457,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_162541,c_172680]) ).
tcf(c_173458,plain,
( ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_162540,c_172680]) ).
tcf(c_173462,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25664,c_172680]) ).
tcf(c_173463,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25578,c_172680]) ).
tcf(c_173464,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25067,c_172680]) ).
tcf(c_173468,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1883,c_172680]) ).
tcf(c_173469,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1877,c_172680]) ).
tcf(c_173470,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1446,c_172680]) ).
tcf(c_173471,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_29) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_681,c_172680]) ).
tcf(c_173472,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_671,c_172680]) ).
tcf(c_173473,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_661,c_172680]) ).
tcf(c_173474,plain,
multiply(inverse(iPr_def_24),iPr_def_24) = sk_c11,
inference(superposition,[status(thm)],[c_172680,c_16658]) ).
tcf(c_173475,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_172680,c_105]) ).
tcf(c_173476,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172680,c_18813]) ).
tcf(c_173477,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172680,c_18776]) ).
tcf(c_173478,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172680,c_18750]) ).
tcf(c_173524,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172439,c_172681]) ).
tcf(c_173525,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172431,c_172681]) ).
tcf(c_173526,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172430,c_172681]) ).
tcf(c_173527,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172429,c_172681]) ).
tcf(c_173528,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162543,c_172681]) ).
tcf(c_173529,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162542,c_172681]) ).
tcf(c_173530,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162541,c_172681]) ).
tcf(c_173531,plain,
( ( sk_c11 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_162540,c_172681]) ).
tcf(c_173535,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25664,c_172681]) ).
tcf(c_173536,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25578,c_172681]) ).
tcf(c_173537,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25067,c_172681]) ).
tcf(c_173541,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1883,c_172681]) ).
tcf(c_173542,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1877,c_172681]) ).
tcf(c_173543,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1446,c_172681]) ).
tcf(c_173544,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_172681]) ).
tcf(c_173545,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_172681]) ).
tcf(c_173546,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_661,c_172681]) ).
tcf(c_173547,plain,
multiply(inverse(iPr_def_20),iPr_def_20) = sk_c11,
inference(superposition,[status(thm)],[c_172681,c_16658]) ).
tcf(c_173548,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_172681,c_105]) ).
tcf(c_173549,plain,
multiply(sk_c3,iPr_def_20) = sk_c11,
inference(superposition,[status(thm)],[c_172681,c_162446]) ).
tcf(c_173550,plain,
multiply(sk_c8,sk_c11) = multiply(iPr_def_18,iPr_def_20),
inference(superposition,[status(thm)],[c_172681,c_144284]) ).
tcf(c_173555,plain,
sk_c11 = identity,
inference(light_normalisation,[status(thm)],[c_173549,c_162448]) ).
tcf(c_173557,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(light_normalisation,[status(thm)],[c_173550,c_144146]) ).
tcf(c_173596,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_172430,c_173555]) ).
tcf(c_173597,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_172429,c_173555]) ).
tcf(c_173600,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(demodulation,[status(thm)],[c_168140,c_173555]) ).
tcf(c_173601,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(demodulation,[status(thm)],[c_168139,c_173555]) ).
tcf(c_173602,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(demodulation,[status(thm)],[c_168138,c_173555]) ).
tcf(c_173605,plain,
multiply(sk_c8,iPr_def_23) = multiply(iPr_def_18,identity),
inference(demodulation,[status(thm)],[c_162539,c_173555]) ).
tcf(c_173606,plain,
( ( identity = iPr_def_27 )
| ( sk_c3 = identity ) ),
inference(demodulation,[status(thm)],[c_162512,c_173555]) ).
tcf(c_173607,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_23,X0)) = multiply(identity,X0),
inference(demodulation,[status(thm)],[c_162538,c_173555]) ).
tcf(c_173608,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_165686,c_173555]) ).
tcf(c_173609,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_165685,c_173555]) ).
tcf(c_173610,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_165684,c_173555]) ).
tcf(c_173611,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_159645,c_173555]) ).
tcf(c_173612,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_158943,c_173555]) ).
tcf(c_173613,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_158699,c_173555]) ).
tcf(c_173614,plain,
multiply(iPr_def_20,iPr_def_23) = identity,
inference(demodulation,[status(thm)],[c_162391,c_173555]) ).
tcf(c_173615,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_158346,c_173555]) ).
tcf(c_173616,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_23,X0) ) ),
inference(demodulation,[status(thm)],[c_160435,c_173555]) ).
tcf(c_173617,plain,
multiply(sk_c3,identity) = iPr_def_23,
inference(demodulation,[status(thm)],[c_157657,c_173555]) ).
tcf(c_173618,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,sk_c8) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_154218,c_173555]) ).
tcf(c_173619,plain,
( ( identity = iPr_def_27 )
| ( sk_c8 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_153862,c_173555]) ).
tcf(c_173620,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c7) = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_151540,c_173555]) ).
tcf(c_173621,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c7) = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_151537,c_173555]) ).
tcf(c_173622,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c7) = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_151534,c_173555]) ).
tcf(c_173623,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = multiply(iPr_def_18,iPr_def_16) ) ),
inference(demodulation,[status(thm)],[c_151332,c_173555]) ).
tcf(c_173624,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = multiply(iPr_def_18,iPr_def_16) ) ),
inference(demodulation,[status(thm)],[c_151331,c_173555]) ).
tcf(c_173625,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_18) = multiply(iPr_def_18,iPr_def_16) ) ),
inference(demodulation,[status(thm)],[c_151330,c_173555]) ).
tcf(c_173626,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_151355,c_173555]) ).
tcf(c_173627,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_151354,c_173555]) ).
tcf(c_173628,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_151353,c_173555]) ).
tcf(c_173629,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_147138,c_173555]) ).
tcf(c_173630,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_136068,c_173555]) ).
tcf(c_173631,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_145048,c_173555]) ).
tcf(c_173632,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_145014,c_173555]) ).
tcf(c_173633,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_144977,c_173555]) ).
tcf(c_173635,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_144899,c_173555]) ).
tcf(c_173636,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_144898,c_173555]) ).
tcf(c_173643,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(demodulation,[status(thm)],[c_8146,c_173555]) ).
tcf(c_173644,plain,
( ~ iPr_def_13
| ( inverse(sk_c8) != identity ) ),
inference(demodulation,[status(thm)],[c_35327,c_173555]) ).
tcf(c_173645,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_23779,c_173555]) ).
tcf(c_173646,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_23433,c_173555]) ).
tcf(c_173647,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_23364,c_173555]) ).
tcf(c_173648,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(demodulation,[status(thm)],[c_7340,c_173555]) ).
tcf(c_173649,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(demodulation,[status(thm)],[c_7338,c_173555]) ).
tcf(c_173650,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(demodulation,[status(thm)],[c_7336,c_173555]) ).
tcf(c_173651,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_18905,c_173555]) ).
tcf(c_173652,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( identity = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_25664,c_173555]) ).
tcf(c_173653,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_25578,c_173555]) ).
tcf(c_173654,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_25067,c_173555]) ).
tcf(c_173655,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(demodulation,[status(thm)],[c_23946,c_173555]) ).
tcf(c_173656,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(demodulation,[status(thm)],[c_23944,c_173555]) ).
tcf(c_173657,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(demodulation,[status(thm)],[c_23942,c_173555]) ).
tcf(c_173658,plain,
( ( identity = iPr_def_27 )
| ( sk_c7 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_22371,c_173555]) ).
tcf(c_173659,plain,
( ( identity = iPr_def_28 )
| ( sk_c7 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_22370,c_173555]) ).
tcf(c_173660,plain,
( ( identity = iPr_def_29 )
| ( sk_c7 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_22369,c_173555]) ).
tcf(c_173661,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,identity) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_6460,c_173555]) ).
tcf(c_173662,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,identity) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_6316,c_173555]) ).
tcf(c_173664,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_23,identity) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_4849,c_173555]) ).
tcf(c_173670,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(demodulation,[status(thm)],[c_1757,c_173555]) ).
tcf(c_173671,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(demodulation,[status(thm)],[c_1686,c_173555]) ).
tcf(c_173673,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(demodulation,[status(thm)],[c_1684,c_173555]) ).
tcf(c_173674,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_2662,c_173555]) ).
tcf(c_173678,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_691,c_173555]) ).
tcf(c_173679,plain,
( ( identity = iPr_def_29 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_685,c_173555]) ).
tcf(c_173680,plain,
( ( identity = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_681,c_173555]) ).
tcf(c_173681,plain,
( ( identity = iPr_def_29 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_679,c_173555]) ).
tcf(c_173682,plain,
( ( identity = iPr_def_29 )
| ( sk_c6 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_678,c_173555]) ).
tcf(c_173683,plain,
( ( identity = iPr_def_28 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_675,c_173555]) ).
tcf(c_173684,plain,
( ( identity = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_671,c_173555]) ).
tcf(c_173685,plain,
( ( identity = iPr_def_28 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_669,c_173555]) ).
tcf(c_173686,plain,
( ( identity = iPr_def_28 )
| ( sk_c6 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_668,c_173555]) ).
tcf(c_173687,plain,
( ( identity = iPr_def_27 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_665,c_173555]) ).
tcf(c_173689,plain,
( ( identity = iPr_def_27 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_659,c_173555]) ).
tcf(c_173690,plain,
( ( identity = iPr_def_27 )
| ( sk_c6 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_658,c_173555]) ).
tcf(c_173821,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_23,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_173607,c_103]) ).
tcf(c_173846,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_172438,c_173614]) ).
tcf(c_173847,plain,
multiply(inverse(iPr_def_20),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_173614,c_16658]) ).
tcf(c_173861,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_172441,c_151364]) ).
tcf(c_173862,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_172441,c_144911]) ).
tcf(c_173864,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172441,c_23873]) ).
tcf(c_173868,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172441,c_630]) ).
tcf(c_173897,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_29 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_173679,c_642]) ).
tcf(c_173943,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173680,c_18690]) ).
tcf(c_173944,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173680,c_18689]) ).
tcf(c_173945,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173680,c_18688]) ).
tcf(c_173946,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_173680,c_17605]) ).
tcf(c_173947,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_173680,c_17582]) ).
tcf(c_173948,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_173680,c_103]) ).
tcf(c_173949,plain,
( ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_173946,c_28387]) ).
tcf(c_173971,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173681,c_172435]) ).
tcf(c_173972,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_18) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_173681,c_165690]) ).
tcf(c_173974,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_173681,c_151467]) ).
tcf(c_173975,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_173681,c_151362]) ).
tcf(c_173978,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_173681,c_144911]) ).
tcf(c_173980,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173681,c_144279]) ).
tcf(c_173981,plain,
( ( identity = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_173681,c_23284]) ).
tcf(c_173982,plain,
( ( identity = iPr_def_29 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173681,c_18903]) ).
tcf(c_173984,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_173681,c_2899]) ).
tcf(c_173985,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_173681,c_628]) ).
tcf(c_173986,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c3) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_173985,c_165693]) ).
tcf(c_173995,plain,
( ( identity = iPr_def_29 )
| ( sk_c3 = identity ) ),
inference(light_normalisation,[status(thm)],[c_173972,c_23870,c_24629]) ).
tcf(c_174006,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_173978,c_23873]) ).
tcf(c_174009,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_173974,c_24629]) ).
tcf(c_174019,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_173682,c_151364]) ).
tcf(c_174020,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_173682,c_144911]) ).
tcf(c_174022,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_173682,c_23873]) ).
tcf(c_174026,plain,
( ( identity = iPr_def_29 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_173682,c_630]) ).
tcf(c_174046,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_28 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_173683,c_642]) ).
tcf(c_174094,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_24 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173684,c_18690]) ).
tcf(c_174095,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173684,c_18689]) ).
tcf(c_174096,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173684,c_18688]) ).
tcf(c_174097,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_173684,c_17605]) ).
tcf(c_174098,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_173684,c_17582]) ).
tcf(c_174099,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_173684,c_103]) ).
tcf(c_174117,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_8993,c_172291]) ).
tcf(c_174124,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_136012,c_174117]) ).
tcf(c_174125,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_33816,c_174117]) ).
tcf(c_174126,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_17582,c_174117]) ).
tcf(c_174127,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174117,c_16658]) ).
tcf(c_174128,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_174117,c_105]) ).
tcf(c_174143,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_173681,c_172381]) ).
tcf(c_174144,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172440,c_172381]) ).
tcf(c_174145,plain,
multiply(inverse(inverse(sk_c8)),iPr_def_15) = iPr_def_20,
inference(superposition,[status(thm)],[c_172381,c_16658]) ).
tcf(c_174146,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_172381,c_105]) ).
tcf(c_174147,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_174144,c_24629,c_172340]) ).
tcf(c_174150,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_174143,c_24629,c_172340]) ).
tcf(c_174154,plain,
multiply(inverse(iPr_def_15),iPr_def_15) = identity,
inference(light_normalisation,[status(thm)],[c_172382,c_173555]) ).
tcf(c_174164,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172305,c_172417]) ).
tcf(c_174169,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172305,c_27711]) ).
tcf(c_174170,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_27) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_172305,c_28387]) ).
tcf(c_174171,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_172305,c_27708]) ).
tcf(c_174173,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_27,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172305,c_2915]) ).
tcf(c_174174,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_27,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_172305,c_1261]) ).
tcf(c_174193,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172308,c_172415]) ).
tcf(c_174194,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172308,c_36972]) ).
tcf(c_174213,plain,
sk_c3 = iPr_def_23,
inference(demodulation,[status(thm)],[c_173617,c_17582]) ).
tcf(c_174214,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_23,multiply(iPr_def_27,X0)) = multiply(iPr_def_23,X0) ) ),
inference(demodulation,[status(thm)],[c_173224,c_174213]) ).
tcf(c_174218,plain,
multiply(inverse(sk_c8),iPr_def_18) = iPr_def_23,
inference(demodulation,[status(thm)],[c_165690,c_174213]) ).
tcf(c_174219,plain,
multiply(sk_c8,iPr_def_23) = iPr_def_18,
inference(demodulation,[status(thm)],[c_165679,c_174213]) ).
tcf(c_174220,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_162483,c_174213]) ).
tcf(c_174222,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_20,X0)) = X0,
inference(demodulation,[status(thm)],[c_162446,c_174213]) ).
tcf(c_174224,plain,
inverse(iPr_def_20) = iPr_def_23,
inference(demodulation,[status(thm)],[c_162447,c_174213]) ).
tcf(c_174226,plain,
multiply(iPr_def_23,iPr_def_20) = identity,
inference(demodulation,[status(thm)],[c_162448,c_174213]) ).
tcf(c_174227,plain,
inverse(iPr_def_23) = iPr_def_20,
inference(demodulation,[status(thm)],[c_162478,c_174213]) ).
tcf(c_174232,plain,
sk_c4 = iPr_def_20,
inference(demodulation,[status(thm)],[c_19276,c_174227]) ).
tcf(c_174233,plain,
multiply(iPr_def_20,iPr_def_15) = iPr_def_24,
inference(demodulation,[status(thm)],[c_172434,c_174232]) ).
tcf(c_174234,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_159643,c_174232]) ).
tcf(c_174235,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_158941,c_174232]) ).
tcf(c_174239,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_158697,c_174232]) ).
tcf(c_174240,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_158344,c_174232]) ).
tcf(c_174241,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_136074,c_174232]) ).
tcf(c_174242,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_18902,c_174232]) ).
tcf(c_174264,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172438,c_174227]) ).
tcf(c_174273,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_173685,c_172381]) ).
tcf(c_174274,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173685,c_172435]) ).
tcf(c_174275,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_173685,c_151467]) ).
tcf(c_174276,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_173685,c_151362]) ).
tcf(c_174279,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_173685,c_144911]) ).
tcf(c_174281,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173685,c_144279]) ).
tcf(c_174282,plain,
( ( identity = iPr_def_28 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_173685,c_23284]) ).
tcf(c_174283,plain,
( ( identity = iPr_def_28 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173685,c_18903]) ).
tcf(c_174285,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_173685,c_2899]) ).
tcf(c_174286,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_173685,c_628]) ).
tcf(c_174287,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_174286,c_165693,c_174213]) ).
tcf(c_174296,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( identity = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_174273,c_24629,c_172340,c_174233]) ).
tcf(c_174307,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_174279,c_23873]) ).
tcf(c_174310,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_174275,c_24629]) ).
tcf(c_174320,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_173686,c_151364]) ).
tcf(c_174321,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_173686,c_144911]) ).
tcf(c_174323,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_173686,c_23873]) ).
tcf(c_174327,plain,
( ( identity = iPr_def_28 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_173686,c_630]) ).
tcf(c_174347,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_27 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_173687,c_642]) ).
tcf(c_174360,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_173689,c_172381]) ).
tcf(c_174361,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173689,c_172435]) ).
tcf(c_174362,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_173689,c_151467]) ).
tcf(c_174363,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_173689,c_151362]) ).
tcf(c_174366,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_173689,c_144911]) ).
tcf(c_174368,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173689,c_144279]) ).
tcf(c_174369,plain,
( ( identity = iPr_def_27 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_173689,c_23284]) ).
tcf(c_174373,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_173689,c_628]) ).
tcf(c_174374,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_174373,c_165693,c_174213]) ).
tcf(c_174380,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c7) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_174363,c_24629,c_151364]) ).
tcf(c_174383,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( identity = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_174360,c_24629,c_172340,c_174233]) ).
tcf(c_174390,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_174362,c_24629]) ).
tcf(c_174398,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_173690,c_151364]) ).
tcf(c_174401,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_173690,c_23873]) ).
tcf(c_174405,plain,
( ( identity = iPr_def_27 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_173690,c_630]) ).
tcf(c_174422,plain,
~ iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_172361,c_1679,c_3575,c_19220,c_19223,c_37218,c_105625,c_105706,c_105707,c_105780,c_105843,c_109505,c_112992,c_114308,c_124541,c_158498,c_171058,c_173555]) ).
tcf(c_174424,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_36972,c_174422]) ).
tcf(c_174425,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2663,c_174422]) ).
tcf(c_174426,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_11
| iPr_def_10
| ( sk_c9 != iPr_def_15 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_642,c_174422]) ).
tcf(c_174473,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_172380,c_160289]) ).
tcf(c_174477,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_172380,c_136063]) ).
tcf(c_174480,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172380,c_17605]) ).
tcf(c_174481,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_172380,c_17582]) ).
tcf(c_174493,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_22368,c_172390]) ).
tcf(c_174494,plain,
multiply(inverse(sk_c7),multiply(iPr_def_16,iPr_def_15)) = iPr_def_20,
inference(superposition,[status(thm)],[c_172390,c_16658]) ).
tcf(c_174495,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,iPr_def_15),X0) = multiply(sk_c7,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_172390,c_105]) ).
tcf(c_174496,plain,
multiply(iPr_def_16,multiply(iPr_def_16,iPr_def_15)) = iPr_def_20,
inference(superposition,[status(thm)],[c_172390,c_144640]) ).
tcf(c_174498,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,iPr_def_15),X0) = multiply(iPr_def_16,multiply(iPr_def_15,X0)),
inference(light_normalisation,[status(thm)],[c_174495,c_13436,c_172291]) ).
tcf(c_174499,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_15) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_174493,c_144146]) ).
tcf(c_174502,plain,
( iPr_def_14
| ( sk_c8 = iPr_def_18 )
| iPr_def_10
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_174425,c_38043]) ).
tcf(c_174503,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 ) ),
inference(renaming,[status(thm)],[c_174502]) ).
tcf(c_174512,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_173689,c_174219]) ).
tcf(c_174513,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_173685,c_174219]) ).
tcf(c_174514,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_173681,c_174219]) ).
tcf(c_174515,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172440,c_174219]) ).
tcf(c_174516,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172438,c_174219]) ).
tcf(c_174518,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_174219,c_105]) ).
tcf(c_174519,plain,
multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_23),
inference(superposition,[status(thm)],[c_174219,c_144911]) ).
tcf(c_174520,plain,
multiply(sk_c7,iPr_def_18) = multiply(iPr_def_16,iPr_def_23),
inference(superposition,[status(thm)],[c_174219,c_2899]) ).
tcf(c_174522,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_174516,c_172435]) ).
tcf(c_174534,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_172438,c_174226]) ).
tcf(c_174535,plain,
multiply(inverse(iPr_def_23),identity) = iPr_def_20,
inference(superposition,[status(thm)],[c_174226,c_16658]) ).
tcf(c_174536,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_20,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_174226,c_105]) ).
tcf(c_174544,plain,
multiply(inverse(iPr_def_20),iPr_def_24) = iPr_def_15,
inference(superposition,[status(thm)],[c_174233,c_16658]) ).
tcf(c_174545,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_174233,c_105]) ).
tcf(c_174546,plain,
multiply(sk_c8,iPr_def_15) = multiply(iPr_def_18,iPr_def_24),
inference(superposition,[status(thm)],[c_174233,c_144284]) ).
tcf(c_174547,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174233,c_136065]) ).
tcf(c_174548,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174233,c_136061]) ).
tcf(c_174549,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174233,c_136060]) ).
tcf(c_174557,plain,
multiply(iPr_def_18,iPr_def_24) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_174546,c_172435]) ).
tcf(c_174560,plain,
multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_24,
inference(superposition,[status(thm)],[c_174557,c_16658]) ).
tcf(c_174561,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_174557,c_105]) ).
tcf(c_174562,plain,
multiply(sk_c6,iPr_def_20) = iPr_def_24,
inference(superposition,[status(thm)],[c_174557,c_23873]) ).
tcf(c_174565,plain,
( iPr_def_14
| ( sk_c9 != iPr_def_15 )
| iPr_def_10
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_174426,c_158,c_704,c_709,c_627,c_629,c_632,c_635,c_637,c_641,c_642,c_695,c_1040,c_1075,c_1322,c_1332,c_1428,c_1446,c_1562,c_1581,c_1679,c_1883,c_2072,c_2405,c_2544,c_2546,c_2664,c_2802,c_2791,c_2963,c_3575,c_3796,c_3992,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4408,c_4409,c_4420,c_8676,c_9221,c_16001,c_17605,c_19081,c_19082,c_19220,c_19223,c_20721,c_20720,c_21301,c_28697,c_31378,c_35450,c_36116,c_36114,c_36373,c_36972,c_37218,c_37842,c_37852,c_37872,c_49143,c_49150,c_49622,c_49797,c_49845,c_50112,c_50689,c_50749,c_54766,c_54806,c_55946,c_56606,c_56666,c_59515,c_64122,c_74699,c_84990,c_84991,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_94259,c_96082,c_99925,c_100907,c_101803,c_101799,c_105625,c_105673,c_105695,c_105700,c_105701,c_105706,c_105707,c_105713,c_105714,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105842,c_105843,c_105856,c_105868,c_105869,c_105900,c_105919,c_105920,c_105926,c_105927,c_105934,c_105961,c_105989,c_106108,c_106145,c_106191,c_106379,c_106491,c_106493,c_106501,c_106615,c_106621,c_106630,c_106831,c_106830,c_106980,c_107030,c_107033,c_107163,c_107164,c_107258,c_108446,c_108760,c_109057,c_109158,c_109400,c_109505,c_111917,c_111920,c_112376,c_112992,c_113321,c_113324,c_113825,c_114308,c_114439,c_114960,c_115972,c_115973,c_118360,c_118470,c_118622,c_118915,c_118921,c_120131,c_120161,c_121080,c_121079,c_121359,c_121799,c_121798,c_122147,c_122151,c_124140,c_124148,c_124541,c_124670,c_125805,c_125804,c_131216,c_132177,c_132557,c_133813,c_133814,c_136100,c_136099,c_136064,c_139934,c_143247,c_143293,c_144678,c_147517,c_155453,c_157721,c_157715,c_157583,c_158498,c_160060,c_161824,c_162386,c_162478,c_162482,c_163487,c_163481,c_164268,c_165087,c_165088,c_166320,c_167522,c_171058,c_171593,c_172356,c_173555,c_173654,c_173652,c_174549,c_174548]) ).
tcf(c_174566,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( sk_c9 != iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_174565]) ).
tcf(c_174575,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_27 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_173687,c_174566]) ).
tcf(c_174576,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_28 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_173683,c_174566]) ).
tcf(c_174577,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_29 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_173679,c_174566]) ).
tcf(c_174578,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173678,c_174566]) ).
tcf(c_174579,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172437,c_174566]) ).
tcf(c_174580,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172428,c_174566]) ).
tcf(c_174582,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( sk_c9 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_174566]) ).
tcf(c_174654,plain,
( iPr_def_14
| ( iPr_def_15 != iPr_def_24 )
| iPr_def_10
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_174424,c_174566,c_174582]) ).
tcf(c_174655,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(renaming,[status(thm)],[c_174654]) ).
tcf(c_174664,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172308,c_174655]) ).
tcf(c_174674,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_173690,c_174562]) ).
tcf(c_174675,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_173686,c_174562]) ).
tcf(c_174676,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_173682,c_174562]) ).
tcf(c_174677,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172441,c_174562]) ).
tcf(c_174678,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_144646,c_174562]) ).
tcf(c_174680,plain,
multiply(inverse(sk_c6),iPr_def_24) = iPr_def_20,
inference(superposition,[status(thm)],[c_174562,c_16658]) ).
tcf(c_174681,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_174562,c_105]) ).
tcf(c_174695,plain,
multiply(inverse(iPr_def_27),iPr_def_27) = identity,
inference(light_normalisation,[status(thm)],[c_173333,c_173555]) ).
tcf(c_174696,plain,
multiply(inverse(iPr_def_28),iPr_def_28) = identity,
inference(light_normalisation,[status(thm)],[c_173411,c_173555]) ).
tcf(c_174697,plain,
multiply(inverse(iPr_def_24),iPr_def_24) = identity,
inference(light_normalisation,[status(thm)],[c_173474,c_173555]) ).
tcf(c_174708,plain,
iPr_def_27 = iPr_def_28,
inference(global_subsumption_just,[status(thm)],[c_170185,c_158,c_704,c_709,c_627,c_629,c_632,c_635,c_641,c_695,c_1040,c_1322,c_1332,c_1428,c_1446,c_1581,c_2546,c_2963,c_3992,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4420,c_8676,c_9221,c_16001,c_19081,c_19082,c_19220,c_20720,c_31378,c_35450,c_36114,c_36373,c_36972,c_37872,c_49143,c_49150,c_49845,c_50112,c_50689,c_50749,c_54806,c_55946,c_56606,c_56666,c_64122,c_74699,c_84990,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_100907,c_105673,c_105695,c_105714,c_105733,c_105734,c_105749,c_105926,c_105927,c_105934,c_105961,c_106145,c_106191,c_106493,c_106615,c_106621,c_106831,c_106830,c_107030,c_107033,c_107163,c_107164,c_107258,c_108446,c_109057,c_109400,c_111917,c_113324,c_114960,c_115972,c_115973,c_118915,c_118921,c_120161,c_121799,c_121798,c_124140,c_124148,c_131216,c_132177,c_132557,c_136064,c_157721,c_163487,c_163481,c_165087,c_165088,c_171593,c_172356,c_173555,c_173652,c_174422,c_174548]) ).
tcf(c_174714,plain,
multiply(sk_c1,iPr_def_15) = iPr_def_27,
inference(demodulation,[status(thm)],[c_172432,c_174708]) ).
tcf(c_174715,plain,
multiply(iPr_def_29,iPr_def_27) = iPr_def_15,
inference(demodulation,[status(thm)],[c_172417,c_174708]) ).
tcf(c_174722,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_158695,c_174708]) ).
tcf(c_174726,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_158342,c_174708]) ).
tcf(c_174731,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_136076,c_174708]) ).
tcf(c_174748,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_18900,c_174708]) ).
tcf(c_174756,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_6311,c_174708]) ).
tcf(c_174771,plain,
iPr_def_27 = iPr_def_29,
inference(global_subsumption_just,[status(thm)],[c_170622,c_158,c_704,c_709,c_627,c_629,c_632,c_635,c_637,c_641,c_1040,c_1075,c_1679,c_1883,c_2072,c_2544,c_2546,c_2664,c_2963,c_3575,c_3796,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4408,c_4409,c_4420,c_8676,c_9221,c_19081,c_19082,c_19220,c_19223,c_20721,c_21301,c_28697,c_31378,c_36116,c_36373,c_37218,c_37852,c_37872,c_49143,c_49150,c_49622,c_49797,c_49845,c_50112,c_50689,c_50749,c_54766,c_54806,c_55946,c_56606,c_56666,c_59515,c_64122,c_74699,c_84990,c_84991,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_94259,c_99925,c_100907,c_101803,c_101799,c_105625,c_105673,c_105695,c_105700,c_105701,c_105706,c_105707,c_105713,c_105714,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105842,c_105843,c_105868,c_105869,c_105900,c_105919,c_105920,c_105926,c_105927,c_105934,c_105961,c_105989,c_106108,c_106145,c_106191,c_106379,c_106491,c_106493,c_106501,c_106615,c_106621,c_106630,c_106831,c_106830,c_106980,c_107030,c_107033,c_107163,c_107164,c_107258,c_108446,c_108760,c_109158,c_109400,c_109505,c_111920,c_112992,c_113321,c_114308,c_114960,c_118470,c_118622,c_118915,c_120131,c_121080,c_121079,c_121799,c_121798,c_122147,c_122151,c_124140,c_124541,c_124670,c_125805,c_125804,c_131216,c_132177,c_132557,c_136064,c_139934,c_143247,c_143293,c_144678,c_147517,c_155453,c_157715,c_158498,c_160060,c_161824,c_162386,c_162478,c_162482,c_163487,c_163481,c_164268,c_165087,c_165088,c_166320,c_167522,c_171058,c_171593,c_173555,c_173654,c_174549]) ).
tcf(c_174791,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_27,X0)) = X0,
inference(demodulation,[status(thm)],[c_27711,c_174771]) ).
tcf(c_174792,plain,
inverse(iPr_def_27) = sk_c1,
inference(demodulation,[status(thm)],[c_28387,c_174771]) ).
tcf(c_174793,plain,
multiply(sk_c1,iPr_def_27) = identity,
inference(demodulation,[status(thm)],[c_27708,c_174771]) ).
tcf(c_174798,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = X0,
inference(demodulation,[status(thm)],[c_2915,c_174771]) ).
tcf(c_174799,plain,
multiply(iPr_def_27,sk_c1) = identity,
inference(demodulation,[status(thm)],[c_1261,c_174771]) ).
tcf(c_174800,plain,
inverse(sk_c1) = iPr_def_27,
inference(demodulation,[status(thm)],[c_641,c_174771]) ).
tcf(c_174801,plain,
( ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_136027,c_174792]) ).
tcf(c_174802,plain,
( ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_28789,c_174792]) ).
tcf(c_174817,plain,
multiply(inverse(sk_c1),iPr_def_27) = iPr_def_15,
inference(superposition,[status(thm)],[c_174714,c_16658]) ).
tcf(c_174818,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_174714,c_105]) ).
tcf(c_174819,plain,
multiply(iPr_def_27,iPr_def_27) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_174817,c_174800]) ).
tcf(c_174820,plain,
( ( identity = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_136012,c_174819]) ).
tcf(c_174821,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_33816,c_174819]) ).
tcf(c_174828,plain,
multiply(inverse(sk_c1),identity) = iPr_def_27,
inference(superposition,[status(thm)],[c_174793,c_16658]) ).
tcf(c_174829,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_174793,c_105]) ).
tcf(c_174837,plain,
multiply(inverse(iPr_def_27),identity) = sk_c1,
inference(superposition,[status(thm)],[c_174799,c_16658]) ).
tcf(c_174838,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_174799,c_105]) ).
tcf(c_174839,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c1) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_174799,c_174117]) ).
tcf(c_174840,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_174799,c_160333]) ).
tcf(c_174841,plain,
( ( identity = iPr_def_20 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_174799,c_136046]) ).
tcf(c_174842,plain,
( ( identity = iPr_def_24 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_174799,c_28791]) ).
tcf(c_174856,plain,
multiply(inverse(iPr_def_27),iPr_def_15) = iPr_def_27,
inference(superposition,[status(thm)],[c_174819,c_16658]) ).
tcf(c_174857,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_174819,c_105]) ).
tcf(c_174858,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_174819,c_174117]) ).
tcf(c_174859,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174819,c_160333]) ).
tcf(c_174860,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174819,c_136046]) ).
tcf(c_174861,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174819,c_28791]) ).
tcf(c_174872,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_173689,c_174218]) ).
tcf(c_174873,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172440,c_174218]) ).
tcf(c_174874,plain,
multiply(inverse(inverse(sk_c8)),iPr_def_23) = iPr_def_18,
inference(superposition,[status(thm)],[c_174218,c_16658]) ).
tcf(c_174875,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_174218,c_105]) ).
tcf(c_174879,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_170831,c_172291]) ).
tcf(c_174882,plain,
iPr_def_28 = iPr_def_29,
inference(global_subsumption_just,[status(thm)],[c_167583,c_158,c_704,c_709,c_627,c_629,c_632,c_635,c_641,c_695,c_1040,c_1322,c_1332,c_1428,c_1877,c_2067,c_2546,c_2963,c_3992,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4420,c_8676,c_9221,c_16001,c_19081,c_19082,c_19220,c_19223,c_20073,c_31378,c_36115,c_36373,c_37872,c_49143,c_49150,c_49845,c_50112,c_50689,c_50749,c_54806,c_55946,c_56606,c_56666,c_64122,c_74699,c_84990,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_100907,c_105625,c_105673,c_105695,c_105713,c_105714,c_105733,c_105734,c_105749,c_105926,c_105927,c_105934,c_105961,c_106145,c_106191,c_106192,c_106491,c_106493,c_106615,c_106621,c_106831,c_106830,c_107030,c_107033,c_107163,c_107164,c_107258,c_107261,c_108446,c_109400,c_111917,c_113324,c_114960,c_118915,c_121799,c_121798,c_124140,c_124148,c_131216,c_132177,c_132557,c_136064,c_157718,c_162246,c_163487,c_163481,c_165087,c_165088,c_171593,c_172356,c_173555,c_173653,c_174547,c_174655]) ).
tcf(c_174887,plain,
( iPr_def_14
| ( iPr_def_15 = iPr_def_17 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_173043,c_158,c_704,c_709,c_627,c_629,c_632,c_635,c_637,c_641,c_642,c_695,c_1040,c_1075,c_1322,c_1332,c_1428,c_1446,c_1562,c_1581,c_1679,c_1883,c_2072,c_2405,c_2544,c_2546,c_2664,c_2658,c_2802,c_2791,c_2963,c_3575,c_3796,c_3992,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4408,c_4409,c_4420,c_8676,c_9221,c_16001,c_17605,c_19081,c_19082,c_19220,c_19223,c_20721,c_20720,c_21301,c_28697,c_31378,c_35450,c_36116,c_36114,c_36373,c_36972,c_37218,c_37852,c_37872,c_49143,c_49150,c_49622,c_49797,c_49845,c_50112,c_50689,c_50749,c_54766,c_54806,c_55946,c_56606,c_56666,c_59515,c_64122,c_74699,c_84990,c_84991,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_94259,c_95909,c_96082,c_99925,c_100907,c_101803,c_101799,c_105625,c_105673,c_105695,c_105700,c_105701,c_105706,c_105707,c_105713,c_105714,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105842,c_105843,c_105856,c_105868,c_105869,c_105900,c_105919,c_105920,c_105926,c_105927,c_105934,c_105961,c_105989,c_106108,c_106145,c_106191,c_106379,c_106491,c_106493,c_106501,c_106615,c_106621,c_106630,c_106831,c_106830,c_106980,c_107030,c_107033,c_107163,c_107164,c_107258,c_108446,c_108760,c_109057,c_109158,c_109400,c_109505,c_111917,c_111920,c_112376,c_112992,c_113321,c_113324,c_113825,c_114308,c_114439,c_114960,c_115972,c_115973,c_118360,c_118470,c_118622,c_118915,c_118921,c_120131,c_120161,c_121080,c_121079,c_121359,c_121799,c_121798,c_122147,c_122151,c_124140,c_124148,c_124541,c_124670,c_125805,c_125804,c_131216,c_132177,c_132557,c_133813,c_133814,c_136100,c_136099,c_136064,c_139934,c_143247,c_143293,c_144678,c_147517,c_155453,c_157721,c_157715,c_157583,c_158498,c_160060,c_161824,c_162386,c_162478,c_162482,c_163487,c_163481,c_164268,c_165087,c_165088,c_166320,c_167522,c_171058,c_171593,c_172313,c_172309,c_172358,c_172356,c_173555,c_173654,c_173652,c_174549,c_174548]) ).
tcf(c_174888,plain,
( iPr_def_14
| iPr_def_10
| ( iPr_def_15 = iPr_def_17 ) ),
inference(renaming,[status(thm)],[c_174887]) ).
tcf(c_174895,plain,
( iPr_def_14
| ( identity = iPr_def_29 ) ),
inference(global_subsumption_just,[status(thm)],[c_173897,c_158,c_704,c_709,c_627,c_629,c_632,c_635,c_637,c_641,c_684,c_685,c_686,c_695,c_1040,c_1075,c_1322,c_1332,c_1428,c_1446,c_1581,c_1679,c_1883,c_2072,c_2544,c_2546,c_2664,c_2963,c_3575,c_3796,c_3992,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4408,c_4409,c_4420,c_8676,c_9221,c_10820,c_16001,c_19081,c_19082,c_19220,c_19223,c_20721,c_20720,c_21301,c_28697,c_31378,c_35450,c_36116,c_36114,c_36373,c_36972,c_37218,c_37852,c_37872,c_49143,c_49150,c_49622,c_49797,c_49845,c_50112,c_50689,c_50749,c_54766,c_54806,c_55946,c_56606,c_56666,c_59515,c_64035,c_64122,c_74699,c_84990,c_84991,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_94259,c_99925,c_100907,c_101803,c_101799,c_105625,c_105631,c_105671,c_105673,c_105695,c_105700,c_105701,c_105706,c_105707,c_105713,c_105714,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105842,c_105843,c_105868,c_105869,c_105900,c_105919,c_105920,c_105926,c_105927,c_105934,c_105961,c_105989,c_106108,c_106145,c_106191,c_106379,c_106491,c_106493,c_106501,c_106615,c_106621,c_106630,c_106831,c_106830,c_106980,c_107030,c_107033,c_107163,c_107164,c_107258,c_108446,c_108760,c_109057,c_109158,c_109400,c_109505,c_111917,c_111920,c_112992,c_113321,c_113324,c_114284,c_114308,c_114439,c_114960,c_115972,c_115973,c_118470,c_118622,c_118915,c_118921,c_120131,c_120161,c_121080,c_121079,c_121799,c_121798,c_122147,c_122151,c_124140,c_124148,c_124541,c_124670,c_125805,c_125804,c_131216,c_132177,c_132557,c_133794,c_136064,c_139934,c_143247,c_143293,c_144678,c_147517,c_155453,c_157721,c_157715,c_157970,c_158498,c_160060,c_161824,c_162386,c_162478,c_162482,c_163487,c_163481,c_164268,c_164356,c_165087,c_165088,c_166320,c_167522,c_171058,c_171593,c_172356,c_173555,c_173654,c_173652,c_174383,c_174549,c_174548,c_174576]) ).
tcf(c_174897,plain,
( iPr_def_14
| ( identity = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_174895,c_174771]) ).
tcf(c_174904,plain,
( iPr_def_14
| ( identity = iPr_def_28 ) ),
inference(global_subsumption_just,[status(thm)],[c_174046,c_158,c_704,c_709,c_627,c_629,c_632,c_635,c_641,c_695,c_1040,c_1322,c_1332,c_1428,c_1679,c_1877,c_2067,c_2546,c_2963,c_3992,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4420,c_8676,c_9221,c_16001,c_19081,c_19082,c_19220,c_19223,c_20073,c_31378,c_36115,c_36373,c_37872,c_49143,c_49150,c_49845,c_50112,c_50689,c_50749,c_54806,c_55946,c_56606,c_56666,c_64122,c_74699,c_84990,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_100907,c_105625,c_105673,c_105695,c_105713,c_105714,c_105733,c_105734,c_105749,c_105926,c_105927,c_105934,c_105961,c_106145,c_106191,c_106192,c_106491,c_106493,c_106615,c_106621,c_106831,c_106830,c_107030,c_107033,c_107163,c_107164,c_107258,c_107261,c_108446,c_109400,c_111917,c_113324,c_113805,c_114960,c_118915,c_121799,c_121798,c_124140,c_124148,c_130117,c_131216,c_132177,c_132557,c_136064,c_157718,c_162246,c_163487,c_163481,c_165087,c_165088,c_171593,c_172356,c_173555,c_173653,c_174547,c_174655,c_174895]) ).
tcf(c_174915,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_174798,c_16658]) ).
tcf(c_174916,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_174798,c_105]) ).
tcf(c_174917,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_174798,c_174117]) ).
tcf(c_174918,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174798,c_160333]) ).
tcf(c_174919,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174798,c_136046]) ).
tcf(c_174920,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174798,c_28791]) ).
tcf(c_174928,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_174916,c_27707,c_174771,c_174792]) ).
tcf(c_174937,plain,
( iPr_def_14
| ( identity = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_174578,c_158,c_704,c_709,c_627,c_629,c_632,c_635,c_637,c_641,c_695,c_1040,c_1075,c_1322,c_1332,c_1428,c_1446,c_1581,c_1679,c_1883,c_2072,c_2544,c_2546,c_2664,c_2802,c_2791,c_2963,c_3575,c_3796,c_3992,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4408,c_4409,c_4420,c_8676,c_9221,c_16001,c_17605,c_19081,c_19082,c_19220,c_19223,c_20721,c_20720,c_21301,c_28697,c_31378,c_35450,c_36116,c_36114,c_36373,c_36972,c_37218,c_37435,c_37852,c_37872,c_49143,c_49150,c_49622,c_49797,c_49845,c_50112,c_50689,c_50749,c_54766,c_54806,c_55946,c_56606,c_56666,c_59515,c_64122,c_74699,c_84990,c_84991,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_94259,c_95909,c_96082,c_99925,c_100907,c_101803,c_101799,c_105625,c_105673,c_105695,c_105700,c_105701,c_105706,c_105707,c_105713,c_105714,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105842,c_105843,c_105856,c_105868,c_105869,c_105900,c_105919,c_105920,c_105926,c_105927,c_105934,c_105961,c_105989,c_106108,c_106145,c_106191,c_106379,c_106491,c_106493,c_106501,c_106615,c_106621,c_106630,c_106831,c_106830,c_106980,c_107030,c_107033,c_107163,c_107164,c_107258,c_108446,c_108760,c_109057,c_109158,c_109400,c_109505,c_111917,c_111920,c_112376,c_112992,c_113321,c_113324,c_113825,c_114308,c_114439,c_114960,c_115972,c_115973,c_118360,c_118470,c_118622,c_118915,c_118921,c_120131,c_120161,c_121080,c_121079,c_121359,c_121799,c_121798,c_122147,c_122151,c_124140,c_124148,c_124541,c_124670,c_125805,c_125804,c_131216,c_132177,c_132557,c_133813,c_133814,c_136100,c_136099,c_136064,c_139934,c_143247,c_143293,c_144678,c_147517,c_155453,c_157721,c_157715,c_157583,c_158498,c_160060,c_161824,c_162386,c_162478,c_162482,c_163487,c_163481,c_164268,c_164365,c_165087,c_165088,c_166320,c_167522,c_171058,c_171593,c_172356,c_173555,c_173678,c_173654,c_173652,c_174426,c_174549,c_174548,c_174820]) ).
tcf(c_174959,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163649,c_17605]) ).
tcf(c_174960,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_163649,c_17582]) ).
tcf(c_174961,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_163649,c_103]) ).
tcf(c_174962,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c1 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_174959,c_174792]) ).
tcf(c_174977,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_15 )
| ( inverse(identity) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_103,c_172424]) ).
tcf(c_174979,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( inverse(multiply(X0,X1)) != iPr_def_15 )
| ( multiply(X0,multiply(X1,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_105,c_172424]) ).
tcf(c_174980,plain,
( ( iPr_def_16 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_15 )
| ( inverse(iPr_def_27) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_160333,c_172424]) ).
tcf(c_174981,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_15 )
| ( inverse(iPr_def_27) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_136046,c_172424]) ).
tcf(c_174982,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_15 )
| ( inverse(iPr_def_27) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28791,c_172424]) ).
tcf(c_174984,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(sk_c1) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174714,c_172424]) ).
tcf(c_174985,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( inverse(sk_c2) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172433,c_172424]) ).
tcf(c_174986,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(iPr_def_20) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174233,c_172424]) ).
tcf(c_174987,plain,
( ~ iPr_def_10
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_174986,c_174224]) ).
tcf(c_174991,plain,
( ~ iPr_def_10
| ( iPr_def_15 != iPr_def_17 )
| ( sk_c9 != iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_174985,c_629]) ).
tcf(c_174995,plain,
( ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c9 != iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_174984,c_174800]) ).
tcf(c_175000,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c1 != iPr_def_15 )
| ( sk_c9 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_174982,c_174792]) ).
tcf(c_175005,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c1 != iPr_def_15 )
| ( sk_c9 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_174981,c_174792]) ).
tcf(c_175010,plain,
( ( iPr_def_16 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c1 != iPr_def_15 )
| ( sk_c9 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_174980,c_174792]) ).
tcf(c_175019,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( X0 != iPr_def_15 )
| ( inverse(X0) != identity ) ),
inference(light_normalisation,[status(thm)],[c_172425,c_17582,c_173555]) ).
tcf(c_175029,plain,
( ~ iPr_def_11
| ( identity != iPr_def_16 )
| ( sk_c7 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144651,c_175019]) ).
tcf(c_175030,plain,
( ~ iPr_def_11
| ( identity != iPr_def_18 )
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_630,c_175019]) ).
tcf(c_175031,plain,
( ~ iPr_def_11
| ( identity != iPr_def_27 )
| ( sk_c1 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174800,c_175019]) ).
tcf(c_175032,plain,
( ~ iPr_def_11
| ( identity != iPr_def_17 )
| ( sk_c2 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_629,c_175019]) ).
tcf(c_175033,plain,
( ~ iPr_def_11
| ( iPr_def_15 != iPr_def_16 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm)],[c_144617,c_175019]) ).
tcf(c_175034,plain,
( ~ iPr_def_11
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_17605,c_175019]) ).
tcf(c_175035,plain,
( ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( identity != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174227,c_175019]) ).
tcf(c_175036,plain,
( ~ iPr_def_11
| ( iPr_def_15 != iPr_def_18 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm)],[c_24629,c_175019]) ).
tcf(c_175037,plain,
( ~ iPr_def_11
| ( iPr_def_15 != iPr_def_17 )
| ( sk_c2 != identity ) ),
inference(superposition,[status(thm)],[c_29043,c_175019]) ).
tcf(c_175038,plain,
( ~ iPr_def_11
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c1 != identity ) ),
inference(superposition,[status(thm)],[c_174792,c_175019]) ).
tcf(c_175039,plain,
( ~ iPr_def_11
| ( iPr_def_15 != iPr_def_20 )
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_174224,c_175019]) ).
tcf(c_175074,plain,
~ iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_172427,c_158,c_704,c_709,c_627,c_629,c_632,c_635,c_637,c_641,c_695,c_1040,c_1075,c_1322,c_1332,c_1428,c_1446,c_1581,c_1679,c_1883,c_2072,c_2544,c_2546,c_2664,c_2802,c_2791,c_2963,c_3575,c_3796,c_3992,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4408,c_4409,c_4420,c_8676,c_9221,c_16001,c_17605,c_19081,c_19082,c_19220,c_19223,c_20721,c_20720,c_21301,c_28697,c_31378,c_35450,c_36116,c_36114,c_36373,c_36972,c_37218,c_37852,c_37872,c_49143,c_49150,c_49622,c_49797,c_49845,c_50112,c_50689,c_50749,c_54766,c_54806,c_55946,c_56606,c_56666,c_59515,c_64122,c_74699,c_84990,c_84991,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_94259,c_95909,c_96082,c_99925,c_100907,c_101803,c_101799,c_105625,c_105673,c_105695,c_105700,c_105701,c_105706,c_105707,c_105713,c_105714,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105842,c_105843,c_105856,c_105868,c_105869,c_105900,c_105919,c_105920,c_105926,c_105927,c_105934,c_105961,c_105989,c_106108,c_106145,c_106191,c_106379,c_106491,c_106493,c_106501,c_106615,c_106621,c_106630,c_106831,c_106830,c_106980,c_107030,c_107033,c_107163,c_107164,c_107258,c_108446,c_108760,c_109057,c_109158,c_109400,c_109505,c_111917,c_111920,c_112376,c_112992,c_113321,c_113324,c_113825,c_114308,c_114439,c_114960,c_115972,c_115973,c_118360,c_118470,c_118622,c_118915,c_118921,c_120131,c_120161,c_121080,c_121079,c_121359,c_121799,c_121798,c_122147,c_122151,c_124140,c_124148,c_124541,c_124670,c_125805,c_125804,c_131216,c_132177,c_132557,c_133813,c_133814,c_136100,c_136099,c_136064,c_139934,c_143247,c_143293,c_144678,c_147517,c_155453,c_157721,c_157715,c_157583,c_158498,c_160060,c_161824,c_162386,c_162478,c_162482,c_163487,c_163481,c_164268,c_165087,c_165088,c_166320,c_167522,c_171058,c_171593,c_172356,c_173555,c_173654,c_173652,c_174549,c_174548]) ).
tcf(c_175080,plain,
( ~ iPr_def_11
| ( identity != iPr_def_23 )
| ( multiply(iPr_def_20,identity) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_18665,c_172291,c_173555,c_174224,c_174227,c_174232]) ).
tcf(c_175088,plain,
( ~ iPr_def_10
| ( iPr_def_15 != iPr_def_18 )
| ( multiply(sk_c6,iPr_def_15) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_19610,c_630,c_24629,c_144137,c_144277,c_172291]) ).
tcf(c_175098,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_173690,c_175088]) ).
tcf(c_175099,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_172441,c_175088]) ).
tcf(c_175100,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_144646,c_175088]) ).
tcf(c_175114,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_15) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_163957,c_172291]) ).
tcf(c_175124,plain,
( ( iPr_def_15 = iPr_def_16 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163649,c_175034]) ).
tcf(c_175125,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172380,c_175034]) ).
tcf(c_175126,plain,
( ( iPr_def_15 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164947,c_175034]) ).
tcf(c_175127,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164672,c_175034]) ).
tcf(c_175128,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164071,c_175034]) ).
tcf(c_175129,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157583,c_175034]) ).
tcf(c_175130,plain,
( ( iPr_def_16 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_160289,c_175034]) ).
tcf(c_175131,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_136063,c_175034]) ).
tcf(c_175132,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136075,c_175034]) ).
tcf(c_175133,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28694,c_175034]) ).
tcf(c_175170,plain,
( ~ iPr_def_11
| ( identity != iPr_def_18 )
| ( multiply(sk_c6,identity) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_19617,c_630,c_24629,c_144137,c_144277,c_172291,c_173555]) ).
tcf(c_175178,plain,
( ~ iPr_def_10
| ( iPr_def_15 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_15) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_22220,c_144538,c_144651,c_144617,c_172291]) ).
tcf(c_175188,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_22368,c_175178]) ).
tcf(c_175197,plain,
( ~ iPr_def_11
| ( identity != iPr_def_16 )
| ( multiply(sk_c7,identity) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_22227,c_144538,c_144651,c_144617,c_172291,c_173555]) ).
tcf(c_175206,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_164059,c_174708]) ).
tcf(c_175213,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175206,c_16658]) ).
tcf(c_175214,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_175206,c_105]) ).
tcf(c_175215,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175206,c_174798]) ).
tcf(c_175221,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_164061,c_174232]) ).
tcf(c_175228,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_20),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175221,c_16658]) ).
tcf(c_175229,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_175221,c_105]) ).
tcf(c_175230,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_18,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_175221,c_144284]) ).
tcf(c_175242,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_164062,c_16658]) ).
tcf(c_175244,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_164062,c_144911]) ).
tcf(c_175245,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_164062,c_2899]) ).
tcf(c_175247,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_175245,c_172390]) ).
tcf(c_175251,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_164063,c_173555]) ).
tcf(c_175263,plain,
multiply(identity,iPr_def_20) = multiply(iPr_def_20,identity),
inference(light_normalisation,[status(thm)],[c_165819,c_173555,c_174232]) ).
tcf(c_175277,plain,
( ~ iPr_def_11
| ( identity != iPr_def_27 )
| ( multiply(sk_c1,identity) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_27710,c_172291,c_173555,c_174771,c_174792,c_174800]) ).
tcf(c_175285,plain,
( ~ iPr_def_11
| ( identity != iPr_def_17 )
| ( multiply(sk_c2,identity) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_28671,c_629,c_29043,c_172291,c_173555]) ).
tcf(c_175293,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_27,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_9025,c_157465,c_162388,c_173555,c_174213]) ).
tcf(c_175301,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_174798,c_175293]) ).
tcf(c_175302,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c1) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_174799,c_175293]) ).
tcf(c_175303,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_15) = multiply(iPr_def_23,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_174819,c_175293]) ).
tcf(c_175304,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,identity) = multiply(iPr_def_23,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_17582,c_175293]) ).
tcf(c_175305,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_175293,c_16658]) ).
tcf(c_175306,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1) ) ),
inference(superposition,[status(thm)],[c_175293,c_105]) ).
tcf(c_175320,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_164470,c_172291,c_174708]) ).
tcf(c_175327,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_172308,c_175320]) ).
tcf(c_175328,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_175320,c_16658]) ).
tcf(c_175329,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_175320,c_105]) ).
tcf(c_175330,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_175320,c_174798]) ).
tcf(c_175338,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_164471,c_172291]) ).
tcf(c_175346,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_175338,c_16658]) ).
tcf(c_175347,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_175338,c_105]) ).
tcf(c_175348,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_175338,c_2914]) ).
tcf(c_175354,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_164472,c_172291,c_174232]) ).
tcf(c_175361,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172308,c_175354]) ).
tcf(c_175362,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_175354,c_16658]) ).
tcf(c_175363,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_175354,c_105]) ).
tcf(c_175364,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_24) = multiply(iPr_def_18,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_175354,c_144284]) ).
tcf(c_175367,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_175364,c_174557]) ).
tcf(c_175389,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_9051,c_162388,c_172291,c_173555]) ).
tcf(c_175396,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_174798,c_175389]) ).
tcf(c_175397,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c1) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_174799,c_175389]) ).
tcf(c_175398,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_174819,c_175389]) ).
tcf(c_175399,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_17582,c_175389]) ).
tcf(c_175400,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_175389,c_16658]) ).
tcf(c_175401,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_175389,c_105]) ).
tcf(c_175417,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,identity) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_164474,c_172291,c_173555]) ).
tcf(c_175423,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_164660,c_174708]) ).
tcf(c_175430,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(sk_c1),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175423,c_16658]) ).
tcf(c_175431,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_175423,c_105]) ).
tcf(c_175432,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175423,c_174798]) ).
tcf(c_175438,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_164662,c_174232]) ).
tcf(c_175445,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175438,c_16658]) ).
tcf(c_175446,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_175438,c_105]) ).
tcf(c_175447,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_18,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_175438,c_144284]) ).
tcf(c_175459,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_164663,c_16658]) ).
tcf(c_175461,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_164663,c_144911]) ).
tcf(c_175462,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_164663,c_2899]) ).
tcf(c_175464,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_175462,c_172390]) ).
tcf(c_175492,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_164664,c_173555]) ).
tcf(c_175502,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_165127,c_16658]) ).
tcf(c_175503,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_165127,c_105]) ).
tcf(c_175504,plain,
( ( iPr_def_15 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_15 )
| ( inverse(iPr_def_27) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_165127,c_172424]) ).
tcf(c_175505,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_165127,c_174798]) ).
tcf(c_175506,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_165127,c_174799]) ).
tcf(c_175507,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_165127,c_174819]) ).
tcf(c_175518,plain,
( ( iPr_def_15 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c1 != iPr_def_15 )
| ( sk_c9 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_175504,c_174792]) ).
tcf(c_175539,plain,
( iPr_def_14
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_172309,c_174655]) ).
tcf(c_175542,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172309,c_172415]) ).
tcf(c_175549,plain,
( iPr_def_14
| ( iPr_def_15 = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_175539,c_22652,c_172437,c_172438,c_172309,c_174426,c_174820,c_174987,c_175034,c_175035,c_175074,c_175126,c_175507]) ).
tcf(c_175575,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_168228,c_172291,c_173555]) ).
tcf(c_175582,plain,
( ( identity = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_175575,c_16658]) ).
tcf(c_175583,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_175575,c_105]) ).
tcf(c_175596,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172310,c_175354]) ).
tcf(c_175598,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172310,c_174562]) ).
tcf(c_175599,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172310,c_174233]) ).
tcf(c_175600,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_172310,c_174226]) ).
tcf(c_175601,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_15) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172310,c_172390]) ).
tcf(c_175602,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172310,c_174224]) ).
tcf(c_175603,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172310,c_172381]) ).
tcf(c_175604,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_172310,c_173614]) ).
tcf(c_175605,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_172310,c_144284]) ).
tcf(c_175606,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_172310,c_144146]) ).
tcf(c_175629,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_172313,c_173555]) ).
tcf(c_175646,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_175629,c_175034]) ).
tcf(c_175650,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175629,c_164672]) ).
tcf(c_175657,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_175629,c_17605]) ).
tcf(c_175658,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_175629,c_17582]) ).
tcf(c_175659,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_175629,c_103]) ).
tcf(c_175673,plain,
~ iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_175646,c_174820,c_175034,c_175035,c_175126,c_175507]) ).
tcf(c_175675,plain,
( iPr_def_14
| iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_174655,c_175673]) ).
tcf(c_175676,plain,
( iPr_def_14
| iPr_def_10
| ( iPr_def_15 = iPr_def_23 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_174580,c_175673]) ).
tcf(c_175677,plain,
( iPr_def_14
| iPr_def_10
| ( sk_c9 != iPr_def_15 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_174566,c_175673]) ).
tcf(c_175678,plain,
( iPr_def_14
| iPr_def_10
| ( sk_c8 = iPr_def_18 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_174503,c_175673]) ).
tcf(c_175723,plain,
( iPr_def_14
| ( iPr_def_15 != iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_175675,c_695,c_1322,c_1332,c_1428,c_1820,c_3992,c_16001,c_22648,c_23146,c_101798,c_174655,c_174820,c_174987,c_175034,c_175035,c_175126,c_175507]) ).
tcf(c_175737,plain,
( iPr_def_14
| iPr_def_10
| ( identity = iPr_def_27 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_173687,c_175677]) ).
tcf(c_175738,plain,
( iPr_def_14
| iPr_def_10
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_173678,c_175677]) ).
tcf(c_175739,plain,
( iPr_def_14
| iPr_def_10
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_172437,c_175677]) ).
tcf(c_175742,plain,
( iPr_def_14
| iPr_def_10
| ( sk_c9 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_175677]) ).
tcf(c_175801,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_172314,c_160289]) ).
tcf(c_175805,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172314,c_17605]) ).
tcf(c_175806,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_172314,c_17582]) ).
tcf(c_175829,plain,
( ( sk_c10 != identity )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_36367,c_158,c_704,c_627,c_629,c_632,c_635,c_641,c_695,c_1040,c_1322,c_1332,c_1428,c_1562,c_1565,c_1679,c_2405,c_2546,c_2963,c_3154,c_3992,c_4190,c_4191,c_4192,c_4401,c_4402,c_4420,c_8676,c_9221,c_16001,c_19081,c_19082,c_19220,c_31378,c_36373,c_37872,c_49143,c_49845,c_50112,c_50689,c_54806,c_55946,c_56606,c_64122,c_74699,c_79315,c_84983,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_100907,c_105673,c_105695,c_105714,c_105733,c_105734,c_105749,c_105926,c_105927,c_105934,c_105961,c_106145,c_106191,c_106493,c_106615,c_106831,c_106830,c_107030,c_107163,c_107164,c_107258,c_109400,c_114960,c_118915,c_121799,c_121798,c_124140,c_131216,c_132177,c_132557,c_136064,c_163487,c_163481,c_165087,c_165088,c_171593,c_172356]) ).
tcf(c_175830,plain,
( ~ iPr_def_10
| ( sk_c10 != identity ) ),
inference(renaming,[status(thm)],[c_175829]) ).
tcf(c_175831,plain,
( ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_175830,c_172291]) ).
tcf(c_175839,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_175629,c_175831]) ).
tcf(c_175840,plain,
( ( iPr_def_15 = iPr_def_16 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_163649,c_175831]) ).
tcf(c_175842,plain,
( ( iPr_def_15 = iPr_def_23 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164947,c_175831]) ).
tcf(c_175843,plain,
( ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164672,c_175831]) ).
tcf(c_175844,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_164071,c_175831]) ).
tcf(c_175845,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_157583,c_175831]) ).
tcf(c_175846,plain,
( ( iPr_def_16 = iPr_def_23 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_160289,c_175831]) ).
tcf(c_175848,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_136075,c_175831]) ).
tcf(c_175849,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28694,c_175831]) ).
tcf(c_175876,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_36368,c_158,c_704,c_709,c_629,c_632,c_637,c_641,c_695,c_1040,c_1075,c_1322,c_1332,c_1428,c_1679,c_2544,c_2546,c_3796,c_3992,c_4190,c_4191,c_4192,c_4408,c_4409,c_4420,c_8676,c_16001,c_19220,c_19223,c_28697,c_36373,c_37852,c_37872,c_49143,c_49622,c_49797,c_49845,c_50112,c_54766,c_54806,c_55946,c_59515,c_64122,c_74699,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_99925,c_100907,c_101799,c_105625,c_105673,c_105695,c_105700,c_105701,c_105706,c_105707,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105900,c_105919,c_105920,c_105926,c_105927,c_105934,c_105961,c_106108,c_106145,c_106493,c_106501,c_106512,c_106831,c_106830,c_106980,c_107029,c_107163,c_107164,c_107939,c_108446,c_109158,c_109505,c_110363,c_113321,c_114960,c_118622,c_118915,c_121079,c_121799,c_121798,c_124541,c_132177,c_132557,c_143293,c_144678,c_147517,c_155453,c_160060,c_161824,c_162386,c_172356,c_173555,c_174820]) ).
tcf(c_175878,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_10 ),
inference(light_normalisation,[status(thm)],[c_175876,c_162388,c_173555]) ).
tcf(c_175885,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_36369,c_695,c_1322,c_1332,c_1428,c_3992,c_16001]) ).
tcf(c_175895,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172295,c_16658]) ).
tcf(c_175896,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_172295,c_105]) ).
tcf(c_175927,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172327,c_28672]) ).
tcf(c_175928,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_172327,c_29043]) ).
tcf(c_175929,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_172327,c_28669]) ).
tcf(c_175931,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172327,c_2914]) ).
tcf(c_175932,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_172327,c_1262]) ).
tcf(c_175945,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_36371,c_158,c_704,c_709,c_629,c_632,c_637,c_641,c_1040,c_1075,c_2544,c_2546,c_3796,c_4190,c_4191,c_4192,c_4408,c_4409,c_4420,c_8676,c_19220,c_19223,c_28697,c_36373,c_37852,c_37872,c_49143,c_49622,c_49797,c_49845,c_50112,c_54766,c_54806,c_55946,c_59515,c_64122,c_74699,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_99925,c_100907,c_101799,c_105625,c_105673,c_105683,c_105695,c_105700,c_105701,c_105706,c_105707,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105900,c_105919,c_105920,c_105926,c_105927,c_105961,c_106108,c_106145,c_106491,c_106493,c_106501,c_106831,c_106830,c_106980,c_107163,c_107164,c_108446,c_108760,c_109158,c_113321,c_114960,c_118622,c_118915,c_121079,c_121799,c_121798,c_132177,c_132557,c_143293,c_144678,c_147517,c_155453,c_160060,c_161824,c_162386,c_175876]) ).
tcf(c_175950,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_36373,c_158,c_704,c_709,c_629,c_632,c_637,c_641,c_1040,c_1075,c_2544,c_2546,c_3796,c_4190,c_4191,c_4192,c_4408,c_4409,c_4420,c_8676,c_19220,c_19223,c_28697,c_36373,c_37852,c_37872,c_49143,c_49622,c_49797,c_49845,c_50112,c_54766,c_54806,c_55946,c_59515,c_64122,c_74699,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_99925,c_100907,c_101799,c_105625,c_105673,c_105684,c_105695,c_105700,c_105701,c_105706,c_105707,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105919,c_105920,c_105926,c_105927,c_105961,c_106108,c_106145,c_106493,c_106501,c_106831,c_106830,c_106980,c_107163,c_107164,c_108446,c_109158,c_113321,c_114960,c_118622,c_118915,c_121079,c_121799,c_121798,c_132177,c_132557,c_143293,c_144678,c_147517,c_155453,c_160060,c_161824,c_162386,c_175876]) ).
tcf(c_175955,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_36375,c_685,c_1322,c_1332,c_3992,c_10820,c_19223,c_105671]) ).
tcf(c_175957,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_10 ),
inference(light_normalisation,[status(thm)],[c_175955,c_173555,c_174771]) ).
tcf(c_175964,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_36376,c_685,c_1322,c_1332,c_3992,c_10820,c_19223,c_105671,c_133897,c_174882]) ).
tcf(c_175967,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_36377,c_158,c_704,c_709,c_627,c_629,c_632,c_635,c_637,c_641,c_685,c_1040,c_1075,c_1322,c_1332,c_1679,c_1883,c_2072,c_2544,c_2546,c_2664,c_2963,c_3575,c_3796,c_3992,c_4190,c_4191,c_4192,c_4400,c_4401,c_4402,c_4408,c_4409,c_4420,c_8676,c_9221,c_10820,c_19081,c_19082,c_19220,c_19223,c_20721,c_21301,c_28697,c_31378,c_36116,c_36373,c_37218,c_37852,c_37872,c_49143,c_49150,c_49622,c_49797,c_49845,c_50112,c_50689,c_50749,c_54766,c_54806,c_55946,c_56606,c_56666,c_59515,c_64122,c_74699,c_84990,c_84991,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_93990,c_94259,c_99925,c_100907,c_101803,c_101799,c_105625,c_105671,c_105673,c_105695,c_105700,c_105701,c_105706,c_105707,c_105713,c_105714,c_105728,c_105733,c_105734,c_105749,c_105780,c_105825,c_105842,c_105843,c_105868,c_105869,c_105900,c_105919,c_105920,c_105926,c_105927,c_105934,c_105961,c_105989,c_106108,c_106145,c_106191,c_106379,c_106491,c_106493,c_106501,c_106615,c_106621,c_106630,c_106831,c_106830,c_106980,c_107030,c_107033,c_107163,c_107164,c_107258,c_108446,c_108760,c_109158,c_109400,c_109505,c_111920,c_112992,c_113321,c_114308,c_114960,c_118470,c_118622,c_118915,c_120131,c_121080,c_121079,c_121799,c_121798,c_122147,c_122151,c_124140,c_124541,c_124670,c_125805,c_125804,c_131216,c_132177,c_132557,c_133898,c_136064,c_139934,c_143247,c_143293,c_144678,c_147517,c_155453,c_157715,c_158498,c_160060,c_161824,c_162386,c_162478,c_162482,c_163487,c_163481,c_164268,c_165087,c_165088,c_166320,c_167522,c_171058,c_171593,c_173555,c_173654,c_174549]) ).
tcf(c_175975,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,identity) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_172316,c_173555]) ).
tcf(c_175984,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_172317,c_16658]) ).
tcf(c_175985,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_172317,c_105]) ).
tcf(c_175986,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_172317,c_144911]) ).
tcf(c_175987,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_172317,c_2899]) ).
tcf(c_175989,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_175987,c_172390]) ).
tcf(c_175992,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_175986,c_174562]) ).
tcf(c_176011,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172375,c_172390]) ).
tcf(c_176012,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172375,c_151348]) ).
tcf(c_176017,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172375,c_144651]) ).
tcf(c_176019,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_172375,c_2899]) ).
tcf(c_176024,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_176011,c_144146]) ).
tcf(c_176030,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_36378,c_704,c_655,c_1322,c_1332,c_70349,c_103338]) ).
tcf(c_176038,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_172319,c_174708]) ).
tcf(c_176046,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(inverse(sk_c1),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_176038,c_16658]) ).
tcf(c_176047,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_176038,c_105]) ).
tcf(c_176048,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_176038,c_174798]) ).
tcf(c_176058,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_172320,c_16658]) ).
tcf(c_176059,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_172320,c_105]) ).
tcf(c_176069,plain,
multiply(identity,iPr_def_24) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_172711,c_173555,c_174233]) ).
tcf(c_176077,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c7) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_172310,c_172333]) ).
tcf(c_176078,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_18) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_172375,c_172333]) ).
tcf(c_176079,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_18) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_22368,c_172333]) ).
tcf(c_176080,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_172333,c_16658]) ).
tcf(c_176081,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_172333,c_105]) ).
tcf(c_176082,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,sk_c7) = multiply(iPr_def_18,sk_c8) ) ),
inference(superposition,[status(thm)],[c_172333,c_144284]) ).
tcf(c_176087,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c8) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_176080,c_174224]) ).
tcf(c_176101,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172375,c_172335]) ).
tcf(c_176104,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c7,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_172335,c_105]) ).
tcf(c_176105,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_172335,c_23873]) ).
tcf(c_176117,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172346,c_16658]) ).
tcf(c_176118,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_172346,c_105]) ).
tcf(c_176119,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_172346,c_151467]) ).
tcf(c_176120,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172346,c_144621]) ).
tcf(c_176121,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172346,c_144616]) ).
tcf(c_176122,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172346,c_7334]) ).
tcf(c_176124,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_176121,c_172390]) ).
tcf(c_176130,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_176119,c_172381,c_174520]) ).
tcf(c_176143,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_172347,c_16658]) ).
tcf(c_176145,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(sk_c7,sk_c8) ) ),
inference(superposition,[status(thm)],[c_172347,c_151467]) ).
tcf(c_176146,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172347,c_144621]) ).
tcf(c_176147,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_172347,c_144616]) ).
tcf(c_176171,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_173689,c_172368]) ).
tcf(c_176173,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_172368,c_16658]) ).
tcf(c_176175,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_172368,c_23873]) ).
tcf(c_176190,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172374,c_16658]) ).
tcf(c_176191,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_172374,c_105]) ).
tcf(c_176192,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),identity) = multiply(sk_c7,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_172374,c_151467]) ).
tcf(c_176193,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_172374,c_144621]) ).
tcf(c_176194,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172374,c_144616]) ).
tcf(c_176195,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172374,c_7334]) ).
tcf(c_176202,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,sk_c7) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_176192,c_154029,c_174520]) ).
tcf(c_176206,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_24,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_172438,c_172376]) ).
tcf(c_176207,plain,
multiply(iPr_def_15,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_17582,c_172376]) ).
tcf(c_176208,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_172309,c_172376]) ).
tcf(c_176209,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_172308,c_172376]) ).
tcf(c_176210,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_172376,c_16658]) ).
tcf(c_176211,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1),
inference(superposition,[status(thm)],[c_172376,c_105]) ).
tcf(c_176226,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_165127,c_172378]) ).
tcf(c_176227,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_160333,c_172378]) ).
tcf(c_176228,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_136046,c_172378]) ).
tcf(c_176229,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_28791,c_172378]) ).
tcf(c_176230,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c1,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_174798,c_172378]) ).
tcf(c_176231,plain,
multiply(iPr_def_15,sk_c1) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_174799,c_172378]) ).
tcf(c_176232,plain,
multiply(iPr_def_15,iPr_def_27) = multiply(iPr_def_17,iPr_def_15),
inference(superposition,[status(thm)],[c_174819,c_172378]) ).
tcf(c_176233,plain,
multiply(iPr_def_15,identity) = multiply(iPr_def_17,iPr_def_27),
inference(superposition,[status(thm)],[c_17582,c_172378]) ).
tcf(c_176234,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_172378,c_16658]) ).
tcf(c_176235,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1),
inference(superposition,[status(thm)],[c_172378,c_105]) ).
tcf(c_176260,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c8) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_173619,c_172333]) ).
tcf(c_176263,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_173619,c_172390]) ).
tcf(c_176265,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_173619,c_144616]) ).
tcf(c_176266,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_173619,c_144640]) ).
tcf(c_176268,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_173619,c_144618]) ).
tcf(c_176269,plain,
( ( identity = iPr_def_27 )
| ( inverse(sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_173619,c_144651]) ).
tcf(c_176272,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_173619,c_2899]) ).
tcf(c_176276,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c8) = identity ) ),
inference(light_normalisation,[status(thm)],[c_176268,c_150086]) ).
tcf(c_176303,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_172320,c_172387]) ).
tcf(c_176304,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_175575,c_172387]) ).
tcf(c_176305,plain,
multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,identity),
inference(superposition,[status(thm)],[c_17582,c_172387]) ).
tcf(c_176306,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172295,c_172387]) ).
tcf(c_176307,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_175389,c_172387]) ).
tcf(c_176308,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_174117,c_172387]) ).
tcf(c_176309,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_172387,c_16658]) ).
tcf(c_176310,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(iPr_def_15,X0),X1)) = multiply(multiply(iPr_def_27,X0),X1),
inference(superposition,[status(thm)],[c_172387,c_105]) ).
tcf(c_176314,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_176306,c_172433]) ).
tcf(c_176317,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_176304,c_172433,c_174819]) ).
tcf(c_176320,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_176303,c_172433,c_174819]) ).
tcf(c_176323,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_176308,c_172387,c_174857]) ).
tcf(c_176326,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_27,X0) ) ),
inference(light_normalisation,[status(thm)],[c_176307,c_172387,c_174857]) ).
tcf(c_176341,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_18) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_173658,c_172333]) ).
tcf(c_176343,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_173658,c_172390]) ).
tcf(c_176344,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_173658,c_151348]) ).
tcf(c_176349,plain,
( ( identity = iPr_def_27 )
| ( inverse(iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_173658,c_144651]) ).
tcf(c_176351,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_173658,c_2899]) ).
tcf(c_176356,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_15) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_176343,c_144146]) ).
tcf(c_176368,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_173689,c_172391]) ).
tcf(c_176370,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_172320,c_172391]) ).
tcf(c_176371,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_175575,c_172391]) ).
tcf(c_176372,plain,
multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_17582,c_172391]) ).
tcf(c_176373,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172295,c_172391]) ).
tcf(c_176374,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_175389,c_172391]) ).
tcf(c_176375,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_174117,c_172391]) ).
tcf(c_176377,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(iPr_def_15,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1),
inference(superposition,[status(thm)],[c_172391,c_105]) ).
tcf(c_176378,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_20,X0)) = multiply(iPr_def_20,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_172391,c_144911]) ).
tcf(c_176379,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_172391,c_2899]) ).
tcf(c_176383,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_176371,c_172435]) ).
tcf(c_176386,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_27) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_176370,c_172435]) ).
tcf(c_176391,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_176375,c_172391]) ).
tcf(c_176394,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_176374,c_172391]) ).
tcf(c_176404,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172310,c_173821]) ).
tcf(c_176409,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_23,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_175293,c_173821]) ).
tcf(c_176410,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172438,c_173821]) ).
tcf(c_176411,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_173821,c_16658]) ).
tcf(c_176412,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_20,multiply(multiply(iPr_def_23,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_173821,c_105]) ).
tcf(c_176434,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172395,c_16658]) ).
tcf(c_176435,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_172395,c_105]) ).
tcf(c_176436,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172395,c_23873]) ).
tcf(c_176458,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174220,c_172395]) ).
tcf(c_176460,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_24,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_174220,c_172376]) ).
tcf(c_176467,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174220,c_172415]) ).
tcf(c_176470,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_176458,c_144146]) ).
tcf(c_176477,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172438,c_174222]) ).
tcf(c_176480,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175438,c_174222]) ).
tcf(c_176481,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175221,c_174222]) ).
tcf(c_176483,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_175354,c_174222]) ).
tcf(c_176485,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172310,c_174222]) ).
tcf(c_176486,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_174222,c_16658]) ).
tcf(c_176487,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(multiply(iPr_def_20,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_174222,c_105]) ).
tcf(c_176512,plain,
( ( iPr_def_15 = iPr_def_24 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174383,c_175831]) ).
tcf(c_176517,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174383,c_17605]) ).
tcf(c_176518,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_174383,c_17582]) ).
tcf(c_176519,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174383,c_103]) ).
tcf(c_176520,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c1 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_176517,c_174792]) ).
tcf(c_176557,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172403,c_16658]) ).
tcf(c_176558,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_172403,c_105]) ).
tcf(c_176559,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172403,c_23873]) ).
tcf(c_176580,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_174477,c_172376]) ).
tcf(c_176584,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174477,c_175338]) ).
tcf(c_176585,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174477,c_175320]) ).
tcf(c_176594,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_173658,c_174520]) ).
tcf(c_176595,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_173619,c_174520]) ).
tcf(c_176596,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_172375,c_174520]) ).
tcf(c_176597,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_22368,c_174520]) ).
tcf(c_176598,plain,
multiply(inverse(sk_c7),multiply(iPr_def_16,iPr_def_23)) = iPr_def_18,
inference(superposition,[status(thm)],[c_174520,c_16658]) ).
tcf(c_176599,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,iPr_def_23),X0) = multiply(sk_c7,multiply(iPr_def_18,X0)),
inference(superposition,[status(thm)],[c_174520,c_105]) ).
tcf(c_176600,plain,
multiply(iPr_def_16,multiply(iPr_def_16,iPr_def_23)) = iPr_def_18,
inference(superposition,[status(thm)],[c_174520,c_144640]) ).
tcf(c_176616,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174522,c_174222]) ).
tcf(c_176617,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174522,c_173821]) ).
tcf(c_176618,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c7) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_174522,c_172333]) ).
tcf(c_176619,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174522,c_172310]) ).
tcf(c_176621,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174522,c_175354]) ).
tcf(c_176623,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174522,c_174562]) ).
tcf(c_176624,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174522,c_174233]) ).
tcf(c_176625,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_174522,c_174226]) ).
tcf(c_176626,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_174522,c_172390]) ).
tcf(c_176627,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_174522,c_174224]) ).
tcf(c_176628,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174522,c_172381]) ).
tcf(c_176629,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_174522,c_173614]) ).
tcf(c_176630,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_174522,c_144284]) ).
tcf(c_176631,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_174522,c_144146]) ).
tcf(c_176634,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c6 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_176627,c_24629]) ).
tcf(c_176650,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_176626,c_174520]) ).
tcf(c_176692,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_172408,c_16658]) ).
tcf(c_176694,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_172408,c_172391]) ).
tcf(c_176695,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_172408,c_172387]) ).
tcf(c_176711,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172410,c_16658]) ).
tcf(c_176713,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172410,c_2914]) ).
tcf(c_176729,plain,
! [X0: $i] : multiply(inverse(sk_c1),X0) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_174791,c_16658]) ).
tcf(c_176730,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_27,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_174791,c_105]) ).
tcf(c_176758,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172411,c_23873]) ).
tcf(c_176774,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174522,c_172416]) ).
tcf(c_176776,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172416,c_16658]) ).
tcf(c_176778,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172416,c_172391]) ).
tcf(c_176779,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172416,c_172387]) ).
tcf(c_176791,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174801,c_176038]) ).
tcf(c_176792,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174801,c_175423]) ).
tcf(c_176794,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174801,c_175206]) ).
tcf(c_176798,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174801,c_174714]) ).
tcf(c_176816,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174802,c_176038]) ).
tcf(c_176817,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174802,c_175423]) ).
tcf(c_176819,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174802,c_175206]) ).
tcf(c_176823,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174802,c_174714]) ).
tcf(c_176852,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174820,c_174383]) ).
tcf(c_176853,plain,
( ( identity = iPr_def_15 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174820,c_175831]) ).
tcf(c_176856,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174820,c_163649]) ).
tcf(c_176858,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174820,c_164947]) ).
tcf(c_176859,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174820,c_164672]) ).
tcf(c_176860,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174820,c_164071]) ).
tcf(c_176861,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174820,c_157583]) ).
tcf(c_176862,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174820,c_160289]) ).
tcf(c_176865,plain,
( ( identity = iPr_def_15 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174820,c_17605]) ).
tcf(c_176866,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_174820,c_17582]) ).
tcf(c_176867,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174820,c_103]) ).
tcf(c_176868,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_176865,c_174224]) ).
tcf(c_176918,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174821,c_174820]) ).
tcf(c_176919,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174821,c_174383]) ).
tcf(c_176920,plain,
( ( identity = iPr_def_15 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174821,c_175831]) ).
tcf(c_176923,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174821,c_163649]) ).
tcf(c_176924,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174821,c_164947]) ).
tcf(c_176925,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174821,c_164672]) ).
tcf(c_176926,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174821,c_164071]) ).
tcf(c_176927,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174821,c_157583]) ).
tcf(c_176928,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174821,c_160289]) ).
tcf(c_176932,plain,
( ( identity = iPr_def_15 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174821,c_17605]) ).
tcf(c_176933,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_174821,c_17582]) ).
tcf(c_176934,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174821,c_103]) ).
tcf(c_176987,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_172422,c_173555]) ).
tcf(c_177000,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174840,c_174791]) ).
tcf(c_177001,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_16 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174840,c_176038]) ).
tcf(c_177002,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_23 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174840,c_175423]) ).
tcf(c_177003,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174840,c_175320]) ).
tcf(c_177004,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174840,c_175206]) ).
tcf(c_177005,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174840,c_174798]) ).
tcf(c_177006,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_174840,c_174799]) ).
tcf(c_177007,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(identity,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_174840,c_174793]) ).
tcf(c_177008,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(identity,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174840,c_174714]) ).
tcf(c_177009,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( inverse(identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174840,c_174800]) ).
tcf(c_177041,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174841,c_174791]) ).
tcf(c_177042,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174841,c_176038]) ).
tcf(c_177043,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174841,c_175423]) ).
tcf(c_177045,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174841,c_175206]) ).
tcf(c_177046,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174841,c_174798]) ).
tcf(c_177047,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_174841,c_174799]) ).
tcf(c_177048,plain,
( ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_174841,c_174793]) ).
tcf(c_177049,plain,
( ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174841,c_174714]) ).
tcf(c_177050,plain,
( ( identity = iPr_def_20 )
| ( inverse(identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174841,c_174800]) ).
tcf(c_177079,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174842,c_174791]) ).
tcf(c_177080,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174842,c_176038]) ).
tcf(c_177081,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174842,c_175423]) ).
tcf(c_177083,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174842,c_175206]) ).
tcf(c_177084,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174842,c_174798]) ).
tcf(c_177085,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_174842,c_174799]) ).
tcf(c_177086,plain,
( ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_174842,c_174793]) ).
tcf(c_177087,plain,
( ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174842,c_174714]) ).
tcf(c_177088,plain,
( ( identity = iPr_def_24 )
| ( inverse(identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174842,c_174800]) ).
tcf(c_177113,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174859,c_174791]) ).
tcf(c_177114,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174859,c_172408]) ).
tcf(c_177115,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_174859,c_172378]) ).
tcf(c_177116,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174859,c_172320]) ).
tcf(c_177117,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174859,c_175575]) ).
tcf(c_177118,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174859,c_165127]) ).
tcf(c_177119,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_174859,c_175389]) ).
tcf(c_177120,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_174859,c_175293]) ).
tcf(c_177121,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174859,c_174798]) ).
tcf(c_177122,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174859,c_174819]) ).
tcf(c_177123,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_174859,c_174799]) ).
tcf(c_177124,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_174859,c_174792]) ).
tcf(c_177125,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_174859,c_174793]) ).
tcf(c_177126,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_174859,c_174117]) ).
tcf(c_177127,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174859,c_172418]) ).
tcf(c_177128,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174859,c_160333]) ).
tcf(c_177129,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174859,c_136046]) ).
tcf(c_177130,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174859,c_28791]) ).
tcf(c_177135,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_177127,c_176232]) ).
tcf(c_177143,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_177121,c_176230]) ).
tcf(c_177204,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_173689,c_174518]) ).
tcf(c_177205,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_172440,c_174518]) ).
tcf(c_177208,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,multiply(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_172376,c_174518]) ).
tcf(c_177211,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_175293,c_174518]) ).
tcf(c_177212,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_20,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_174220,c_174518]) ).
tcf(c_177213,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_172438,c_174518]) ).
tcf(c_177215,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(iPr_def_23,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1),
inference(superposition,[status(thm)],[c_174518,c_105]) ).
tcf(c_177216,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,multiply(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_174518,c_144911]) ).
tcf(c_177217,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,multiply(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_174518,c_2899]) ).
tcf(c_177220,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_177213,c_172391]) ).
tcf(c_177229,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_18,multiply(iPr_def_27,X0)) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_177211,c_174518]) ).
tcf(c_177256,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_174860,c_174821]) ).
tcf(c_177257,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174860,c_174383]) ).
tcf(c_177258,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174860,c_175831]) ).
tcf(c_177262,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174860,c_172380]) ).
tcf(c_177264,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174860,c_164672]) ).
tcf(c_177265,plain,
( ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174860,c_164071]) ).
tcf(c_177270,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174860,c_17605]) ).
tcf(c_177271,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_174860,c_17582]) ).
tcf(c_177272,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174860,c_103]) ).
tcf(c_177273,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_177270,c_174224]) ).
tcf(c_177318,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174861,c_174860]) ).
tcf(c_177320,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174861,c_174383]) ).
tcf(c_177321,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174861,c_175831]) ).
tcf(c_177326,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174861,c_164672]) ).
tcf(c_177327,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174861,c_164071]) ).
tcf(c_177333,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174861,c_17605]) ).
tcf(c_177334,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_174861,c_17582]) ).
tcf(c_177335,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_174861,c_103]) ).
tcf(c_177369,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174962,c_176038]) ).
tcf(c_177373,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174962,c_174798]) ).
tcf(c_177374,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_174962,c_174799]) ).
tcf(c_177376,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174962,c_174714]) ).
tcf(c_177380,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_177374,c_174819]) ).
tcf(c_177385,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_177373,c_174857]) ).
tcf(c_177407,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_174522,c_174545]) ).
tcf(c_177408,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_172310,c_174545]) ).
tcf(c_177409,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_172408,c_174545]) ).
tcf(c_177410,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_172320,c_174545]) ).
tcf(c_177411,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_15) = multiply(iPr_def_24,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_175575,c_174545]) ).
tcf(c_177412,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172416,c_174545]) ).
tcf(c_177413,plain,
multiply(iPr_def_20,iPr_def_15) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_17582,c_174545]) ).
tcf(c_177414,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172295,c_174545]) ).
tcf(c_177415,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_175389,c_174545]) ).
tcf(c_177416,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_174117,c_174545]) ).
tcf(c_177417,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(iPr_def_24,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_174545,c_16658]) ).
tcf(c_177418,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_20,multiply(multiply(iPr_def_15,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1),
inference(superposition,[status(thm)],[c_174545,c_105]) ).
tcf(c_177423,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_177414,c_174233]) ).
tcf(c_177427,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_177411,c_174233]) ).
tcf(c_177430,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_27) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_177410,c_174233]) ).
tcf(c_177438,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_24,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_177416,c_174545]) ).
tcf(c_177441,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_177415,c_174545]) ).
tcf(c_177449,plain,
multiply(iPr_def_18,iPr_def_24) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_17582,c_174561]) ).
tcf(c_177450,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_20,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_174477,c_174561]) ).
tcf(c_177453,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_174561,c_16658]) ).
tcf(c_177454,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(multiply(iPr_def_24,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1),
inference(superposition,[status(thm)],[c_174561,c_105]) ).
tcf(c_177458,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_177450,c_144284]) ).
tcf(c_177463,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_173690,c_174681]) ).
tcf(c_177464,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_172441,c_174681]) ).
tcf(c_177465,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_144646,c_174681]) ).
tcf(c_177467,plain,
multiply(sk_c6,iPr_def_20) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_17582,c_174681]) ).
tcf(c_177468,plain,
multiply(sk_c6,iPr_def_24) = multiply(iPr_def_24,iPr_def_15),
inference(superposition,[status(thm)],[c_174233,c_174681]) ).
tcf(c_177469,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_24) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_175438,c_174681]) ).
tcf(c_177470,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_24) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_175221,c_174681]) ).
tcf(c_177471,plain,
multiply(sk_c6,identity) = multiply(iPr_def_24,iPr_def_23),
inference(superposition,[status(thm)],[c_173614,c_174681]) ).
tcf(c_177472,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_24) = multiply(iPr_def_24,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_175354,c_174681]) ).
tcf(c_177473,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_23,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_173821,c_174681]) ).
tcf(c_177474,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,sk_c8) = multiply(iPr_def_24,sk_c7) ) ),
inference(superposition,[status(thm)],[c_172333,c_174681]) ).
tcf(c_177475,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_174545,c_174681]) ).
tcf(c_177476,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_174522,c_174681]) ).
tcf(c_177477,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_172310,c_174681]) ).
tcf(c_177478,plain,
! [X0: $i] : multiply(inverse(sk_c6),multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_174681,c_16658]) ).
tcf(c_177479,plain,
! [X0: $i,X1: $i] : multiply(sk_c6,multiply(multiply(iPr_def_20,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1),
inference(superposition,[status(thm)],[c_174681,c_105]) ).
tcf(c_177483,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c7) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_177474,c_144279]) ).
tcf(c_177520,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_175506,c_174791]) ).
tcf(c_177521,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_16 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_175506,c_176038]) ).
tcf(c_177522,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_23 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_175506,c_175423]) ).
tcf(c_177524,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_175506,c_175206]) ).
tcf(c_177525,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_175506,c_174798]) ).
tcf(c_177526,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_27,identity) = identity ) ),
inference(superposition,[status(thm)],[c_175506,c_174799]) ).
tcf(c_177527,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(identity,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_175506,c_174793]) ).
tcf(c_177528,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(identity,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_175506,c_174714]) ).
tcf(c_177529,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( inverse(identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_175506,c_174800]) ).
tcf(c_177554,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_175507,c_174791]) ).
tcf(c_177556,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_175507,c_172378]) ).
tcf(c_177557,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_175507,c_172320]) ).
tcf(c_177558,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_175507,c_175575]) ).
tcf(c_177559,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_175507,c_165127]) ).
tcf(c_177560,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_175507,c_175389]) ).
tcf(c_177561,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_175507,c_175293]) ).
tcf(c_177562,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_175507,c_174798]) ).
tcf(c_177564,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_175507,c_174799]) ).
tcf(c_177565,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_175507,c_174792]) ).
tcf(c_177566,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_175507,c_174793]) ).
tcf(c_177567,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_175507,c_174117]) ).
tcf(c_177568,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_175507,c_172418]) ).
tcf(c_177570,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_175507,c_136046]) ).
tcf(c_177571,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_175507,c_28791]) ).
tcf(c_177582,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_177562,c_176230]) ).
tcf(c_177615,plain,
multiply(iPr_def_15,sk_c1) = iPr_def_17,
inference(demodulation,[status(thm)],[c_176231,c_17582]) ).
tcf(c_177616,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175506,c_177615]) ).
tcf(c_177617,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174962,c_177615]) ).
tcf(c_177618,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174842,c_177615]) ).
tcf(c_177619,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174841,c_177615]) ).
tcf(c_177620,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174840,c_177615]) ).
tcf(c_177621,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174802,c_177615]) ).
tcf(c_177622,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174801,c_177615]) ).
tcf(c_177623,plain,
multiply(inverse(iPr_def_15),iPr_def_17) = sk_c1,
inference(superposition,[status(thm)],[c_177615,c_16658]) ).
tcf(c_177625,plain,
multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,sk_c1),
inference(superposition,[status(thm)],[c_177615,c_174545]) ).
tcf(c_177626,plain,
multiply(sk_c8,iPr_def_17) = multiply(iPr_def_20,sk_c1),
inference(superposition,[status(thm)],[c_177615,c_172391]) ).
tcf(c_177627,plain,
multiply(sk_c2,iPr_def_17) = multiply(iPr_def_27,sk_c1),
inference(superposition,[status(thm)],[c_177615,c_172387]) ).
tcf(c_177643,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,sk_c1) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_172317,c_177626]) ).
tcf(c_177644,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c1) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_164663,c_177626]) ).
tcf(c_177645,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c1) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_164062,c_177626]) ).
tcf(c_177646,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c1) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_136073,c_177626]) ).
tcf(c_177647,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c1) = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_18903,c_177626]) ).
tcf(c_177658,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(inverse(iPr_def_15),iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_172327,c_177623]) ).
tcf(c_177659,plain,
multiply(inverse(inverse(iPr_def_15)),sk_c1) = iPr_def_17,
inference(superposition,[status(thm)],[c_177623,c_16658]) ).
tcf(c_177660,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(iPr_def_17,X0)) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_177623,c_105]) ).
tcf(c_177693,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_174726,c_16658]) ).
tcf(c_177694,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174726,c_105]) ).
tcf(c_177695,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_174726,c_174798]) ).
tcf(c_177708,plain,
( ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174841,c_174731]) ).
tcf(c_177711,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174801,c_174731]) ).
tcf(c_177713,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174731,c_16658]) ).
tcf(c_177714,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174731,c_105]) ).
tcf(c_177715,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174731,c_174798]) ).
tcf(c_177731,plain,
( ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174842,c_174748]) ).
tcf(c_177734,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_174802,c_174748]) ).
tcf(c_177737,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c1),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174748,c_16658]) ).
tcf(c_177738,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174748,c_105]) ).
tcf(c_177739,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174748,c_174798]) ).
tcf(c_177751,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_15,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_172327,c_176232]) ).
tcf(c_177752,plain,
multiply(inverse(iPr_def_17),multiply(iPr_def_15,iPr_def_27)) = iPr_def_15,
inference(superposition,[status(thm)],[c_176232,c_16658]) ).
tcf(c_177753,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,iPr_def_27),X0) = multiply(iPr_def_17,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_176232,c_105]) ).
tcf(c_177754,plain,
( ~ iPr_def_10
| ( inverse(iPr_def_17) != iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_176232,c_172424]) ).
tcf(c_177755,plain,
multiply(sk_c2,multiply(iPr_def_15,iPr_def_27)) = iPr_def_15,
inference(superposition,[status(thm)],[c_176232,c_28672]) ).
tcf(c_177759,plain,
( ~ iPr_def_10
| ( sk_c2 != iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_27) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_177754,c_29043]) ).
tcf(c_177784,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_176317,c_174861]) ).
tcf(c_177788,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_176317,c_174383]) ).
tcf(c_177789,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_176317,c_175831]) ).
tcf(c_177795,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_176317,c_164071]) ).
tcf(c_177801,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_176317,c_17605]) ).
tcf(c_177802,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_176317,c_17582]) ).
tcf(c_177803,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_176317,c_103]) ).
tcf(c_177826,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_176320,c_174791]) ).
tcf(c_177828,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_176320,c_172378]) ).
tcf(c_177830,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176320,c_175575]) ).
tcf(c_177832,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_176320,c_175389]) ).
tcf(c_177833,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_176320,c_175293]) ).
tcf(c_177834,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_176320,c_174798]) ).
tcf(c_177835,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176320,c_174819]) ).
tcf(c_177836,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_176320,c_174799]) ).
tcf(c_177837,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_176320,c_174792]) ).
tcf(c_177838,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_176320,c_174793]) ).
tcf(c_177839,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_176320,c_174117]) ).
tcf(c_177840,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176320,c_172418]) ).
tcf(c_177842,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_176320,c_136046]) ).
tcf(c_177843,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_176320,c_28791]) ).
tcf(c_177848,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_177836,c_177615]) ).
tcf(c_177853,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_177834,c_176230]) ).
tcf(c_177889,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_176470,c_174518]) ).
tcf(c_177890,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_176470,c_172391]) ).
tcf(c_177891,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176470,c_172368]) ).
tcf(c_177892,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_176470,c_172347]) ).
tcf(c_177893,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_176470,c_174218]) ).
tcf(c_177894,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_176470,c_174219]) ).
tcf(c_177896,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176470,c_172381]) ).
tcf(c_177898,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_176470,c_172435]) ).
tcf(c_177899,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_176470,c_151467]) ).
tcf(c_177900,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_176470,c_151362]) ).
tcf(c_177901,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176470,c_151348]) ).
tcf(c_177902,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_176470,c_150086]) ).
tcf(c_177903,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_20,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_176470,c_144911]) ).
tcf(c_177904,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_176470,c_144279]) ).
tcf(c_177905,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176470,c_23284]) ).
tcf(c_177907,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_176470,c_2899]) ).
tcf(c_177908,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176470,c_628]) ).
tcf(c_177909,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_177908,c_172390]) ).
tcf(c_177916,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_177894,c_173614]) ).
tcf(c_177921,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_177891,c_144146]) ).
tcf(c_177924,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_16) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_177900,c_174224]) ).
tcf(c_177928,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_18) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_177893,c_174224]) ).
tcf(c_177933,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_177907,c_176379]) ).
tcf(c_177937,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_177903,c_174681]) ).
tcf(c_177941,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_177889,c_173821]) ).
tcf(c_177944,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_177899,c_174224]) ).
tcf(c_177969,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_175506,c_174818]) ).
tcf(c_177970,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_27,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174962,c_174818]) ).
tcf(c_177971,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174842,c_174818]) ).
tcf(c_177972,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174841,c_174818]) ).
tcf(c_177973,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174840,c_174818]) ).
tcf(c_177974,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174802,c_174818]) ).
tcf(c_177975,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174801,c_174818]) ).
tcf(c_177976,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_172408,c_174818]) ).
tcf(c_177977,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_172320,c_174818]) ).
tcf(c_177978,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_175575,c_174818]) ).
tcf(c_177979,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172416,c_174818]) ).
tcf(c_177980,plain,
multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,identity),
inference(superposition,[status(thm)],[c_17582,c_174818]) ).
tcf(c_177981,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172295,c_174818]) ).
tcf(c_177982,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_175389,c_174818]) ).
tcf(c_177983,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_174117,c_174818]) ).
tcf(c_177984,plain,
multiply(sk_c1,iPr_def_17) = multiply(iPr_def_27,sk_c1),
inference(superposition,[status(thm)],[c_177615,c_174818]) ).
tcf(c_177985,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_27,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_174818,c_16658]) ).
tcf(c_177986,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_15,X0),X1)) = multiply(multiply(iPr_def_27,X0),X1),
inference(superposition,[status(thm)],[c_174818,c_105]) ).
tcf(c_177988,plain,
multiply(sk_c1,iPr_def_17) = identity,
inference(light_normalisation,[status(thm)],[c_177984,c_174799]) ).
tcf(c_178034,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_136046,c_174857]) ).
tcf(c_178035,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28791,c_174857]) ).
tcf(c_178036,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c1,X0)) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_174798,c_174857]) ).
tcf(c_178037,plain,
multiply(iPr_def_15,sk_c1) = multiply(iPr_def_27,identity),
inference(superposition,[status(thm)],[c_174799,c_174857]) ).
tcf(c_178038,plain,
multiply(iPr_def_15,iPr_def_27) = multiply(iPr_def_27,iPr_def_15),
inference(superposition,[status(thm)],[c_174819,c_174857]) ).
tcf(c_178039,plain,
multiply(iPr_def_15,identity) = multiply(iPr_def_27,iPr_def_27),
inference(superposition,[status(thm)],[c_17582,c_174857]) ).
tcf(c_178041,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_176320,c_174857]) ).
tcf(c_178043,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_174859,c_174857]) ).
tcf(c_178044,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_174857,c_16658]) ).
tcf(c_178045,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1),
inference(superposition,[status(thm)],[c_174857,c_105]) ).
tcf(c_178046,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_27,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_174857,c_174857]) ).
tcf(c_178048,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(iPr_def_17,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_174857,c_172378]) ).
tcf(c_178050,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_174857,c_175389]) ).
tcf(c_178051,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_174857,c_175293]) ).
tcf(c_178052,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_174857,c_174117]) ).
tcf(c_178053,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174857,c_160333]) ).
tcf(c_178055,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_174857,c_28791]) ).
tcf(c_178057,plain,
multiply(iPr_def_27,identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_178037,c_177615]) ).
tcf(c_178058,plain,
! [X0: $i] : multiply(iPr_def_17,X0) = multiply(iPr_def_27,X0),
inference(light_normalisation,[status(thm)],[c_178036,c_176230]) ).
tcf(c_178078,plain,
multiply(iPr_def_17,sk_c1) = identity,
inference(demodulation,[status(thm)],[c_174799,c_178058]) ).
tcf(c_178079,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0),
inference(demodulation,[status(thm)],[c_174857,c_178058]) ).
tcf(c_178080,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0),
inference(demodulation,[status(thm)],[c_174818,c_178058]) ).
tcf(c_178081,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_17,X0)) = X0,
inference(demodulation,[status(thm)],[c_174791,c_178058]) ).
tcf(c_178082,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0),
inference(demodulation,[status(thm)],[c_172387,c_178058]) ).
tcf(c_178083,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0),
inference(demodulation,[status(thm)],[c_172378,c_178058]) ).
tcf(c_178085,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(demodulation,[status(thm)],[c_175389,c_178058]) ).
tcf(c_178086,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_17,X0)) = multiply(iPr_def_23,X0) ) ),
inference(demodulation,[status(thm)],[c_175293,c_178058]) ).
tcf(c_178087,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(demodulation,[status(thm)],[c_174117,c_178058]) ).
tcf(c_178089,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_136046,c_178058]) ).
tcf(c_178090,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_28791,c_178058]) ).
tcf(c_178092,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c1,X0)) = X0,
inference(demodulation,[status(thm)],[c_174798,c_178058]) ).
tcf(c_178142,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_175659,c_16658]) ).
tcf(c_178143,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_175659,c_105]) ).
tcf(c_178152,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175659,c_177615]) ).
tcf(c_178161,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_175506,c_177988]) ).
tcf(c_178162,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_174962,c_177988]) ).
tcf(c_178163,plain,
( ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_174842,c_177988]) ).
tcf(c_178164,plain,
( ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_174841,c_177988]) ).
tcf(c_178165,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_174840,c_177988]) ).
tcf(c_178166,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_174802,c_177988]) ).
tcf(c_178167,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_174801,c_177988]) ).
tcf(c_178169,plain,
multiply(inverse(sk_c1),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_177988,c_16658]) ).
tcf(c_178170,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_177988,c_105]) ).
tcf(c_178188,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_175506,c_178078]) ).
tcf(c_178189,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_174962,c_178078]) ).
tcf(c_178190,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_174842,c_178078]) ).
tcf(c_178191,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_174841,c_178078]) ).
tcf(c_178192,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_174840,c_178078]) ).
tcf(c_178193,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_174802,c_178078]) ).
tcf(c_178194,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_174801,c_178078]) ).
tcf(c_178195,plain,
multiply(inverse(iPr_def_17),identity) = sk_c1,
inference(superposition,[status(thm)],[c_178078,c_16658]) ).
tcf(c_178196,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_178078,c_105]) ).
tcf(c_178197,plain,
multiply(sk_c2,identity) = sk_c1,
inference(superposition,[status(thm)],[c_178078,c_28672]) ).
tcf(c_178211,plain,
sk_c1 = sk_c2,
inference(demodulation,[status(thm)],[c_178197,c_17582]) ).
tcf(c_178217,plain,
inverse(iPr_def_17) = sk_c1,
inference(demodulation,[status(thm)],[c_29043,c_178211]) ).
tcf(c_178221,plain,
inverse(sk_c1) = iPr_def_17,
inference(demodulation,[status(thm)],[c_629,c_178211]) ).
tcf(c_178222,plain,
iPr_def_17 = iPr_def_27,
inference(demodulation,[status(thm)],[c_174800,c_178221]) ).
tcf(c_178225,plain,
multiply(iPr_def_15,iPr_def_17) = multiply(iPr_def_17,iPr_def_15),
inference(demodulation,[status(thm)],[c_176232,c_178222]) ).
tcf(c_178226,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_174726,c_178222]) ).
tcf(c_178228,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c1 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_174962,c_178222]) ).
tcf(c_178231,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_174859,c_178222]) ).
tcf(c_178232,plain,
( ( identity = iPr_def_24 )
| ( sk_c1 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_174802,c_178222]) ).
tcf(c_178233,plain,
( ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_174801,c_178222]) ).
tcf(c_178234,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_172408,c_178222]) ).
tcf(c_178235,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_174383,c_178222]) ).
tcf(c_178236,plain,
( ( identity = iPr_def_17 )
| ( sk_c7 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_173658,c_178222]) ).
tcf(c_178237,plain,
( ( identity = iPr_def_17 )
| ( sk_c8 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_173619,c_178222]) ).
tcf(c_178238,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_172320,c_178222]) ).
tcf(c_178239,plain,
( ( identity = iPr_def_17 )
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_175957,c_178222]) ).
tcf(c_178240,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_175575,c_178222]) ).
tcf(c_178241,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_175320,c_178222]) ).
tcf(c_178243,plain,
( iPr_def_14
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_174897,c_178222]) ).
tcf(c_178246,plain,
multiply(sk_c1,iPr_def_15) = iPr_def_17,
inference(demodulation,[status(thm)],[c_174714,c_178222]) ).
tcf(c_178247,plain,
iPr_def_17 = iPr_def_29,
inference(demodulation,[status(thm)],[c_174771,c_178222]) ).
tcf(c_178248,plain,
iPr_def_17 = iPr_def_28,
inference(demodulation,[status(thm)],[c_174708,c_178222]) ).
tcf(c_178249,plain,
( ( identity = iPr_def_17 )
| ( sk_c6 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_173690,c_178222]) ).
tcf(c_178250,plain,
( ( identity = iPr_def_17 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_173689,c_178222]) ).
tcf(c_178251,plain,
( ( identity = iPr_def_17 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_173687,c_178222]) ).
tcf(c_178252,plain,
multiply(iPr_def_17,iPr_def_17) = iPr_def_15,
inference(demodulation,[status(thm)],[c_172418,c_178222]) ).
tcf(c_178253,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_164947,c_178222]) ).
tcf(c_178254,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_164672,c_178222]) ).
tcf(c_178255,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_164071,c_178222]) ).
tcf(c_178256,plain,
( ( identity = iPr_def_23 )
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_157583,c_178222]) ).
tcf(c_178257,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_160289,c_178222]) ).
tcf(c_178258,plain,
( ( identity = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_136075,c_178222]) ).
tcf(c_178259,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_28694,c_178222]) ).
tcf(c_178326,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_176519,c_178058]) ).
tcf(c_178336,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(inverse(iPr_def_17),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_178326,c_16658]) ).
tcf(c_178337,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_178326,c_105]) ).
tcf(c_178338,plain,
( ( iPr_def_15 = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_15 )
| ( inverse(iPr_def_17) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178326,c_172424]) ).
tcf(c_178340,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_178326,c_178078]) ).
tcf(c_178343,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_178336,c_178217]) ).
tcf(c_178348,plain,
( ( iPr_def_15 = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c1 != iPr_def_15 )
| ( sk_c9 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_178338,c_178217]) ).
tcf(c_178369,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_176867,c_16658]) ).
tcf(c_178370,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_176867,c_105]) ).
tcf(c_178371,plain,
( ( identity = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_15 )
| ( inverse(iPr_def_20) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176867,c_172424]) ).
tcf(c_178372,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_176867,c_174681]) ).
tcf(c_178374,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_176867,c_144284]) ).
tcf(c_178376,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176867,c_174233]) ).
tcf(c_178377,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176867,c_175438]) ).
tcf(c_178378,plain,
( ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176867,c_175221]) ).
tcf(c_178379,plain,
( ( identity = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176867,c_173614]) ).
tcf(c_178380,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_176867,c_173821]) ).
tcf(c_178382,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_176867,c_174545]) ).
tcf(c_178404,plain,
( ( identity = iPr_def_15 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_178371,c_174224]) ).
tcf(c_178422,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_176934,c_16658]) ).
tcf(c_178423,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_176934,c_105]) ).
tcf(c_178424,plain,
( ( identity = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c9 != iPr_def_15 )
| ( inverse(iPr_def_24) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176934,c_172424]) ).
tcf(c_178425,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_18,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_176934,c_174561]) ).
tcf(c_178426,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_176934,c_172376]) ).
tcf(c_178484,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_177909,c_16658]) ).
tcf(c_178487,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_16) = multiply(sk_c7,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_177909,c_151467]) ).
tcf(c_178488,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_177909,c_144621]) ).
tcf(c_178489,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_177909,c_144616]) ).
tcf(c_178490,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_177909,c_7334]) ).
tcf(c_178494,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_15) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_178487,c_151362]) ).
tcf(c_178501,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175506,c_178221]) ).
tcf(c_178502,plain,
( ( identity = iPr_def_24 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174842,c_178221]) ).
tcf(c_178503,plain,
( ( identity = iPr_def_20 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174841,c_178221]) ).
tcf(c_178504,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174840,c_178221]) ).
tcf(c_178515,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_178239,c_695,c_1322,c_1332,c_1428,c_3992,c_16001,c_172356,c_176920,c_178376]) ).
tcf(c_178517,plain,
( iPr_def_14
| ( sk_c8 = iPr_def_18 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175678,c_178515]) ).
tcf(c_178518,plain,
( iPr_def_14
| ( sk_c9 != iPr_def_15 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175677,c_178515]) ).
tcf(c_178519,plain,
( iPr_def_14
| ( iPr_def_15 = iPr_def_23 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175676,c_178515]) ).
tcf(c_178548,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_176470,c_174146]) ).
tcf(c_178549,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_172440,c_174146]) ).
tcf(c_178550,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(sk_c8),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_176867,c_174146]) ).
tcf(c_178551,plain,
multiply(inverse(sk_c8),iPr_def_20) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_17582,c_174146]) ).
tcf(c_178552,plain,
multiply(inverse(sk_c8),iPr_def_24) = multiply(iPr_def_15,iPr_def_15),
inference(superposition,[status(thm)],[c_174233,c_174146]) ).
tcf(c_178553,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_24) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_175438,c_174146]) ).
tcf(c_178554,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_24) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_175221,c_174146]) ).
tcf(c_178555,plain,
multiply(inverse(sk_c8),identity) = multiply(iPr_def_15,iPr_def_23),
inference(superposition,[status(thm)],[c_173614,c_174146]) ).
tcf(c_178556,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_24) = multiply(iPr_def_15,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_175354,c_174146]) ).
tcf(c_178557,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(inverse(sk_c8),X0),
inference(superposition,[status(thm)],[c_173821,c_174146]) ).
tcf(c_178558,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),sk_c8) = multiply(iPr_def_15,sk_c7) ) ),
inference(superposition,[status(thm)],[c_172333,c_174146]) ).
tcf(c_178559,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_24,X0)) = multiply(iPr_def_15,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_174545,c_174146]) ).
tcf(c_178560,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_18,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_174522,c_174146]) ).
tcf(c_178561,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_172310,c_174146]) ).
tcf(c_178562,plain,
! [X0: $i] : multiply(inverse(inverse(sk_c8)),multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_174146,c_16658]) ).
tcf(c_178563,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c8),multiply(multiply(iPr_def_20,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1),
inference(superposition,[status(thm)],[c_174146,c_105]) ).
tcf(c_178577,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_178560,c_174875]) ).
tcf(c_178580,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_178549,c_24629,c_174681]) ).
tcf(c_178592,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_176470,c_174875]) ).
tcf(c_178593,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_172440,c_174875]) ).
tcf(c_178594,plain,
multiply(inverse(sk_c8),identity) = multiply(iPr_def_23,sk_c6),
inference(superposition,[status(thm)],[c_1260,c_174875]) ).
tcf(c_178595,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),identity) = multiply(iPr_def_23,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_172403,c_174875]) ).
tcf(c_178596,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(sk_c8),identity) = multiply(iPr_def_23,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_2283,c_174875]) ).
tcf(c_178597,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c6,X0)) = multiply(inverse(sk_c8),X0),
inference(superposition,[status(thm)],[c_2916,c_174875]) ).
tcf(c_178598,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,X0)) = multiply(inverse(sk_c8),X0) ) ),
inference(superposition,[status(thm)],[c_7334,c_174875]) ).
tcf(c_178599,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_172395,c_174875]) ).
tcf(c_178600,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(iPr_def_23,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172411,c_174875]) ).
tcf(c_178601,plain,
multiply(inverse(sk_c8),iPr_def_18) = multiply(iPr_def_23,identity),
inference(superposition,[status(thm)],[c_17582,c_174875]) ).
tcf(c_178602,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_16) = multiply(iPr_def_23,sk_c8) ) ),
inference(superposition,[status(thm)],[c_172368,c_174875]) ).
tcf(c_178603,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(sk_c8),iPr_def_16) = multiply(iPr_def_23,sk_c8) ) ),
inference(superposition,[status(thm)],[c_23284,c_174875]) ).
tcf(c_178604,plain,
multiply(inverse(sk_c8),sk_c8) = multiply(iPr_def_23,iPr_def_20),
inference(superposition,[status(thm)],[c_144146,c_174875]) ).
tcf(c_178605,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(sk_c8,X0)) = multiply(iPr_def_23,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_144284,c_174875]) ).
tcf(c_178606,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_16) = multiply(iPr_def_23,sk_c7) ) ),
inference(superposition,[status(thm)],[c_172335,c_174875]) ).
tcf(c_178607,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_20,X0)) = multiply(iPr_def_23,multiply(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_174561,c_174875]) ).
tcf(c_178608,plain,
multiply(inverse(sk_c8),iPr_def_20) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_174557,c_174875]) ).
tcf(c_178609,plain,
! [X0: $i] : multiply(inverse(inverse(sk_c8)),multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_174875,c_16658]) ).
tcf(c_178610,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c8),multiply(multiply(iPr_def_18,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1),
inference(superposition,[status(thm)],[c_174875,c_105]) ).
tcf(c_178614,plain,
multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,sk_c6),
inference(light_normalisation,[status(thm)],[c_178594,c_178555]) ).
tcf(c_178616,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c7) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_178606,c_151362]) ).
tcf(c_178620,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_23,sk_c8) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_178603,c_151362]) ).
tcf(c_178626,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_178596,c_178555]) ).
tcf(c_178629,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_178595,c_178555]) ).
tcf(c_178635,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_178592,c_174224]) ).
tcf(c_178643,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_178326,c_177660]) ).
tcf(c_178644,plain,
multiply(inverse(iPr_def_15),iPr_def_17) = multiply(sk_c1,identity),
inference(superposition,[status(thm)],[c_17582,c_177660]) ).
tcf(c_178645,plain,
multiply(inverse(iPr_def_15),identity) = multiply(sk_c1,sk_c1),
inference(superposition,[status(thm)],[c_178078,c_177660]) ).
tcf(c_178646,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_15,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_172327,c_177660]) ).
tcf(c_178647,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_15)),multiply(sk_c1,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_177660,c_16658]) ).
tcf(c_178648,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_15),multiply(multiply(iPr_def_17,X0),X1)) = multiply(multiply(sk_c1,X0),X1),
inference(superposition,[status(thm)],[c_177660,c_105]) ).
tcf(c_178652,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_15),multiply(multiply(iPr_def_17,X0),X1)) = multiply(sk_c1,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_178648,c_27707,c_178217,c_178247]) ).
tcf(c_178665,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175506,c_178246]) ).
tcf(c_178666,plain,
( ( identity = iPr_def_24 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174842,c_178246]) ).
tcf(c_178667,plain,
( ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174841,c_178246]) ).
tcf(c_178668,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_174840,c_178246]) ).
tcf(c_178669,plain,
multiply(inverse(sk_c1),iPr_def_17) = iPr_def_15,
inference(superposition,[status(thm)],[c_178246,c_16658]) ).
tcf(c_178683,plain,
multiply(inverse(iPr_def_17),iPr_def_15) = iPr_def_17,
inference(superposition,[status(thm)],[c_178252,c_16658]) ).
tcf(c_178685,plain,
multiply(inverse(iPr_def_15),iPr_def_15) = multiply(sk_c1,iPr_def_17),
inference(superposition,[status(thm)],[c_178252,c_177660]) ).
tcf(c_178697,plain,
( iPr_def_14
| ( sk_c9 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_178518]) ).
tcf(c_178728,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c1 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_176520,c_178222]) ).
tcf(c_178739,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178728,c_178246]) ).
tcf(c_178740,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178728,c_178221]) ).
tcf(c_178741,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_178728,c_178078]) ).
tcf(c_178743,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178728,c_177615]) ).
tcf(c_178757,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_176619,c_174875]) ).
tcf(c_178758,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_176619,c_174561]) ).
tcf(c_178759,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_176619,c_172411]) ).
tcf(c_178760,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_15) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_176619,c_174520]) ).
tcf(c_178761,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_176619,c_172403]) ).
tcf(c_178762,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_176619,c_172395]) ).
tcf(c_178763,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_176619,c_172374]) ).
tcf(c_178764,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176619,c_172368]) ).
tcf(c_178765,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_176619,c_172346]) ).
tcf(c_178766,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176619,c_172335]) ).
tcf(c_178767,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_176619,c_174218]) ).
tcf(c_178768,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_176619,c_174557]) ).
tcf(c_178769,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_176619,c_144284]) ).
tcf(c_178770,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_176619,c_144146]) ).
tcf(c_178771,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176619,c_23284]) ).
tcf(c_178772,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_176619,c_7334]) ).
tcf(c_178773,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_176619,c_23873]) ).
tcf(c_178774,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_176619,c_24629]) ).
tcf(c_178775,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_176619,c_23940]) ).
tcf(c_178776,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_176619,c_23870]) ).
tcf(c_178777,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_176619,c_2283]) ).
tcf(c_178778,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c6,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_176619,c_2916]) ).
tcf(c_178779,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c6) = identity ) ),
inference(superposition,[status(thm)],[c_176619,c_1260]) ).
tcf(c_178843,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_176634,c_174681]) ).
tcf(c_178844,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_176634,c_174562]) ).
tcf(c_178846,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = multiply(iPr_def_23,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_176634,c_151364]) ).
tcf(c_178847,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_176634,c_144911]) ).
tcf(c_178848,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_176634,c_144279]) ).
tcf(c_178855,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_176634,c_630]) ).
tcf(c_178882,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_9170,c_172291,c_173555,c_178248]) ).
tcf(c_178889,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_176619,c_178882]) ).
tcf(c_178890,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_175659,c_178882]) ).
tcf(c_178891,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172416,c_178882]) ).
tcf(c_178892,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_17582,c_178882]) ).
tcf(c_178893,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_17) = multiply(iPr_def_20,sk_c1) ) ),
inference(superposition,[status(thm)],[c_177615,c_178882]) ).
tcf(c_178894,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_178882,c_16658]) ).
tcf(c_178895,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_15,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1) ) ),
inference(superposition,[status(thm)],[c_178882,c_105]) ).
tcf(c_178896,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_20,X0)) = multiply(iPr_def_23,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_178882,c_174875]) ).
tcf(c_178897,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_178882,c_23873]) ).
tcf(c_178902,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_178897,c_174681]) ).
tcf(c_178912,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_178896,c_174146]) ).
tcf(c_178943,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176868,c_174820]) ).
tcf(c_178947,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176868,c_17605]) ).
tcf(c_178948,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_176868,c_17582]) ).
tcf(c_178949,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_176868,c_103]) ).
tcf(c_178971,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176918,c_174820]) ).
tcf(c_178975,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_176918,c_17605]) ).
tcf(c_178976,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_176918,c_17582]) ).
tcf(c_178977,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_176918,c_103]) ).
tcf(c_179007,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_23,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_9228,c_173555,c_177217,c_178248]) ).
tcf(c_179014,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_174226,c_179007]) ).
tcf(c_179015,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_16,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_172415,c_179007]) ).
tcf(c_179016,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_172376,c_179007]) ).
tcf(c_179017,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_174222,c_179007]) ).
tcf(c_179018,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_17582,c_179007]) ).
tcf(c_179020,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_172438,c_179007]) ).
tcf(c_179021,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_16,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_179007,c_16658]) ).
tcf(c_179022,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_23,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_179007,c_105]) ).
tcf(c_179023,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,X0)) = multiply(sk_c7,multiply(iPr_def_23,X0)) ) ),
inference(superposition,[status(thm)],[c_179007,c_151467]) ).
tcf(c_179024,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_16,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_179007,c_144621]) ).
tcf(c_179025,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_179007,c_144616]) ).
tcf(c_179026,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_179007,c_7334]) ).
tcf(c_179033,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_179025,c_144616]) ).
tcf(c_179039,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_179024,c_144621,c_174518]) ).
tcf(c_179044,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_23,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_179023,c_151467]) ).
tcf(c_179070,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_178949,c_16658]) ).
tcf(c_179071,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_178949,c_105]) ).
tcf(c_179072,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_178949,c_178882]) ).
tcf(c_179073,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_178949,c_174545]) ).
tcf(c_179074,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_178949,c_172391]) ).
tcf(c_179077,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178949,c_177615]) ).
tcf(c_179103,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_178977,c_16658]) ).
tcf(c_179104,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_178977,c_105]) ).
tcf(c_179105,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_178977,c_178882]) ).
tcf(c_179106,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_178977,c_174545]) ).
tcf(c_179107,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_178977,c_172391]) ).
tcf(c_179110,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178977,c_177615]) ).
tcf(c_179146,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_177380,c_17605]) ).
tcf(c_179147,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_177380,c_17582]) ).
tcf(c_179154,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_176634,c_177468]) ).
tcf(c_179155,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_24) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172441,c_177468]) ).
tcf(c_179156,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_144646,c_177468]) ).
tcf(c_179158,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_174477,c_177468]) ).
tcf(c_179159,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_15) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172309,c_177468]) ).
tcf(c_179160,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_23) = multiply(iPr_def_23,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172308,c_177468]) ).
tcf(c_179161,plain,
multiply(inverse(sk_c6),multiply(iPr_def_24,iPr_def_15)) = iPr_def_24,
inference(superposition,[status(thm)],[c_177468,c_16658]) ).
tcf(c_179162,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,iPr_def_15),X0) = multiply(sk_c6,multiply(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_177468,c_105]) ).
tcf(c_179163,plain,
multiply(iPr_def_18,multiply(iPr_def_24,iPr_def_15)) = iPr_def_24,
inference(superposition,[status(thm)],[c_177468,c_2916]) ).
tcf(c_179165,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,iPr_def_15),X0) = multiply(iPr_def_24,multiply(iPr_def_15,X0)),
inference(light_normalisation,[status(thm)],[c_179162,c_177475]) ).
tcf(c_179175,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_179154,c_172415]) ).
tcf(c_179178,plain,
multiply(iPr_def_24,iPr_def_23) = sk_c6,
inference(demodulation,[status(thm)],[c_177471,c_17582]) ).
tcf(c_179180,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_23) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_174477,c_179178]) ).
tcf(c_179181,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_172309,c_179178]) ).
tcf(c_179182,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_172308,c_179178]) ).
tcf(c_179183,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_20) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_174220,c_179178]) ).
tcf(c_179184,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_172438,c_179178]) ).
tcf(c_179185,plain,
multiply(inverse(iPr_def_24),sk_c6) = iPr_def_23,
inference(superposition,[status(thm)],[c_179178,c_16658]) ).
tcf(c_179187,plain,
( ( identity = iPr_def_15 )
| ( sk_c6 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_179178,c_176934]) ).
tcf(c_179188,plain,
multiply(iPr_def_18,sk_c6) = multiply(iPr_def_20,iPr_def_23),
inference(superposition,[status(thm)],[c_179178,c_174561]) ).
tcf(c_179201,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c6 = identity ) ),
inference(light_normalisation,[status(thm)],[c_179180,c_173614]) ).
tcf(c_179204,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c6) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_174477,c_179185]) ).
tcf(c_179205,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),sk_c6) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172309,c_179185]) ).
tcf(c_179206,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),sk_c6) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172308,c_179185]) ).
tcf(c_179207,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_176634,c_179185]) ).
tcf(c_179208,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172441,c_179185]) ).
tcf(c_179209,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_144646,c_179185]) ).
tcf(c_179211,plain,
multiply(inverse(inverse(iPr_def_24)),iPr_def_23) = sk_c6,
inference(superposition,[status(thm)],[c_179185,c_16658]) ).
tcf(c_179212,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c6,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_179185,c_105]) ).
tcf(c_179219,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c6) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_179206,c_174227]) ).
tcf(c_179224,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_179204,c_174224,c_178614]) ).
tcf(c_179249,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_174477,c_179212]) ).
tcf(c_179250,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_172309,c_179212]) ).
tcf(c_179251,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_172308,c_179212]) ).
tcf(c_179252,plain,
multiply(inverse(iPr_def_24),identity) = multiply(iPr_def_23,iPr_def_18),
inference(superposition,[status(thm)],[c_23870,c_179212]) ).
tcf(c_179253,plain,
multiply(inverse(iPr_def_24),sk_c6) = multiply(iPr_def_23,identity),
inference(superposition,[status(thm)],[c_17582,c_179212]) ).
tcf(c_179254,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_18,X0)) = multiply(inverse(iPr_def_24),X0),
inference(superposition,[status(thm)],[c_23873,c_179212]) ).
tcf(c_179255,plain,
multiply(inverse(iPr_def_24),iPr_def_24) = multiply(iPr_def_23,iPr_def_20),
inference(superposition,[status(thm)],[c_174562,c_179212]) ).
tcf(c_179256,plain,
multiply(inverse(iPr_def_24),iPr_def_20) = multiply(iPr_def_23,sk_c8),
inference(superposition,[status(thm)],[c_144279,c_179212]) ).
tcf(c_179257,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_20,X0)) = multiply(iPr_def_23,multiply(sk_c8,X0)),
inference(superposition,[status(thm)],[c_144911,c_179212]) ).
tcf(c_179258,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_20,sk_c7)) = multiply(iPr_def_23,iPr_def_16),
inference(superposition,[status(thm)],[c_151364,c_179212]) ).
tcf(c_179259,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_24,X0)) = multiply(iPr_def_23,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_174681,c_179212]) ).
tcf(c_179260,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_24,iPr_def_15)) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_177468,c_179212]) ).
tcf(c_179261,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_176634,c_179212]) ).
tcf(c_179262,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_16,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_172441,c_179212]) ).
tcf(c_179263,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_16,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_144646,c_179212]) ).
tcf(c_179265,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_24)),multiply(iPr_def_23,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_179212,c_16658]) ).
tcf(c_179266,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_24),multiply(multiply(sk_c6,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1),
inference(superposition,[status(thm)],[c_179212,c_105]) ).
tcf(c_179269,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_24,iPr_def_15)) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_179260,c_172415]) ).
tcf(c_179270,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_24,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_179259,c_174222]) ).
tcf(c_179271,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_24),multiply(sk_c6,multiply(X0,X1))) = multiply(multiply(iPr_def_23,X0),X1),
inference(light_normalisation,[status(thm)],[c_179266,c_23869,c_24629]) ).
tcf(c_179278,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_179251,c_174227]) ).
tcf(c_179283,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),X0) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_179249,c_174224,c_178597]) ).
tcf(c_179300,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c1) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_174477,c_177625]) ).
tcf(c_179301,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c1) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_172309,c_177625]) ).
tcf(c_179302,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_23,sk_c1) ) ),
inference(superposition,[status(thm)],[c_172308,c_177625]) ).
tcf(c_179303,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_178728,c_177625]) ).
tcf(c_179304,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_175506,c_177625]) ).
tcf(c_179305,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_174842,c_177625]) ).
tcf(c_179306,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_174841,c_177625]) ).
tcf(c_179307,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_174840,c_177625]) ).
tcf(c_179308,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_20,iPr_def_17)) = sk_c1,
inference(superposition,[status(thm)],[c_177625,c_16658]) ).
tcf(c_179309,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,iPr_def_17),X0) = multiply(iPr_def_24,multiply(sk_c1,X0)),
inference(superposition,[status(thm)],[c_177625,c_105]) ).
tcf(c_179310,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_177625,c_176934]) ).
tcf(c_179311,plain,
multiply(iPr_def_18,multiply(iPr_def_20,iPr_def_17)) = multiply(iPr_def_20,sk_c1),
inference(superposition,[status(thm)],[c_177625,c_174561]) ).
tcf(c_179312,plain,
multiply(iPr_def_23,multiply(iPr_def_20,iPr_def_17)) = multiply(iPr_def_15,sk_c1),
inference(superposition,[status(thm)],[c_177625,c_172376]) ).
tcf(c_179313,plain,
multiply(iPr_def_23,multiply(iPr_def_20,iPr_def_17)) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_179312,c_177615]) ).
tcf(c_179328,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_179301,c_177615]) ).
tcf(c_179335,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_17) = multiply(iPr_def_20,sk_c1) ) ),
inference(superposition,[status(thm)],[c_172440,c_177626]) ).
tcf(c_179336,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,sk_c1) ) ),
inference(superposition,[status(thm)],[c_172327,c_177626]) ).
tcf(c_179337,plain,
multiply(inverse(sk_c8),multiply(iPr_def_20,sk_c1)) = iPr_def_17,
inference(superposition,[status(thm)],[c_177626,c_16658]) ).
tcf(c_179338,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c1),X0) = multiply(sk_c8,multiply(iPr_def_17,X0)),
inference(superposition,[status(thm)],[c_177626,c_105]) ).
tcf(c_179339,plain,
multiply(sk_c6,multiply(iPr_def_20,sk_c1)) = multiply(iPr_def_20,iPr_def_17),
inference(superposition,[status(thm)],[c_177626,c_144911]) ).
tcf(c_179340,plain,
multiply(sk_c7,multiply(iPr_def_20,sk_c1)) = multiply(iPr_def_16,iPr_def_17),
inference(superposition,[status(thm)],[c_177626,c_2899]) ).
tcf(c_179345,plain,
multiply(sk_c1,multiply(iPr_def_15,iPr_def_17)) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_177755,c_178211,c_178222]) ).
tcf(c_179367,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1260,c_23980]) ).
tcf(c_179368,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172403,c_23980]) ).
tcf(c_179369,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2283,c_23980]) ).
tcf(c_179371,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172395,c_23980]) ).
tcf(c_179372,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172411,c_23980]) ).
tcf(c_179378,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_178882,c_23980]) ).
tcf(c_179379,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_172335,c_23980]) ).
tcf(c_179382,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_176619,c_23980]) ).
tcf(c_179383,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_23980,c_16658]) ).
tcf(c_179384,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_23980,c_105]) ).
tcf(c_179385,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(inverse(sk_c8),X0) ) ),
inference(superposition,[status(thm)],[c_23980,c_151467]) ).
tcf(c_179386,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_23980,c_144621]) ).
tcf(c_179393,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c8 = sk_c7 )
| ( sk_c9 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_179379,c_144639]) ).
tcf(c_179403,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_23,X0)) = multiply(inverse(sk_c8),X0) ) ),
inference(light_normalisation,[status(thm)],[c_179385,c_177217]) ).
tcf(c_179419,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23997,c_173555,c_178247]) ).
tcf(c_179426,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1260,c_179419]) ).
tcf(c_179427,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172403,c_179419]) ).
tcf(c_179428,plain,
( ( identity = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2283,c_179419]) ).
tcf(c_179429,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2916,c_179419]) ).
tcf(c_179430,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172395,c_179419]) ).
tcf(c_179431,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172411,c_179419]) ).
tcf(c_179432,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_17582,c_179419]) ).
tcf(c_179435,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_144146,c_179419]) ).
tcf(c_179436,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_144284,c_179419]) ).
tcf(c_179437,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_178882,c_179419]) ).
tcf(c_179438,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_172335,c_179419]) ).
tcf(c_179439,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_174561,c_179419]) ).
tcf(c_179440,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_174557,c_179419]) ).
tcf(c_179441,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_176619,c_179419]) ).
tcf(c_179442,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_179419,c_16658]) ).
tcf(c_179443,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_179419,c_105]) ).
tcf(c_179444,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(inverse(sk_c8),X0) ) ),
inference(superposition,[status(thm)],[c_179419,c_151467]) ).
tcf(c_179445,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_179419,c_144621]) ).
tcf(c_179446,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_179419,c_144616]) ).
tcf(c_179475,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_23,X0)) = multiply(inverse(sk_c8),X0) ) ),
inference(light_normalisation,[status(thm)],[c_179444,c_177217]) ).
tcf(c_179516,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_177848,c_17605]) ).
tcf(c_179517,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_177848,c_17582]) ).
tcf(c_179543,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_177916,c_172314]) ).
tcf(c_179545,plain,
( ( iPr_def_18 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_177916,c_172380]) ).
tcf(c_179547,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_18) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_177916,c_17605]) ).
tcf(c_179548,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(X0,iPr_def_18) = X0 ) ),
inference(superposition,[status(thm)],[c_177916,c_17582]) ).
tcf(c_179554,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_179547,c_24629]) ).
tcf(c_179566,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_17) = multiply(iPr_def_20,sk_c1) ) ),
inference(superposition,[status(thm)],[c_177921,c_177626]) ).
tcf(c_179567,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_177921,c_174875]) ).
tcf(c_179568,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_177921,c_174146]) ).
tcf(c_179569,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_177921,c_176470]) ).
tcf(c_179570,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_177921,c_174518]) ).
tcf(c_179571,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_177921,c_172391]) ).
tcf(c_179572,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_177921,c_172368]) ).
tcf(c_179573,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_177921,c_172347]) ).
tcf(c_179574,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_177921,c_174218]) ).
tcf(c_179575,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_177921,c_174219]) ).
tcf(c_179576,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_177921,c_172381]) ).
tcf(c_179577,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_177921,c_172440]) ).
tcf(c_179579,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_177921,c_151467]) ).
tcf(c_179580,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_177921,c_151362]) ).
tcf(c_179581,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_177921,c_151348]) ).
tcf(c_179582,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_177921,c_144911]) ).
tcf(c_179583,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_177921,c_144279]) ).
tcf(c_179584,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_177921,c_23284]) ).
tcf(c_179586,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_177921,c_2899]) ).
tcf(c_179587,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_177921,c_628]) ).
tcf(c_179592,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_179587,c_144618]) ).
tcf(c_179595,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_179583,c_151364]) ).
tcf(c_179604,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c7 = identity ) ),
inference(light_normalisation,[status(thm)],[c_179580,c_144617,c_144618]) ).
tcf(c_179615,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_179586,c_144616]) ).
tcf(c_179627,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_179579,c_144616,c_144617]) ).
tcf(c_179630,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_179568,c_144617,c_176379]) ).
tcf(c_179633,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_179567,c_144617,c_177217]) ).
tcf(c_179685,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_179592,c_172380]) ).
tcf(c_179687,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179592,c_17605]) ).
tcf(c_179688,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(X0,iPr_def_16) = X0 ) ),
inference(superposition,[status(thm)],[c_179592,c_17582]) ).
tcf(c_179692,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_179687,c_144617]) ).
tcf(c_179706,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178728,c_178081]) ).
tcf(c_179707,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_175506,c_178081]) ).
tcf(c_179708,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174842,c_178081]) ).
tcf(c_179709,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174841,c_178081]) ).
tcf(c_179710,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174840,c_178081]) ).
tcf(c_179716,plain,
! [X0: $i] : multiply(inverse(sk_c1),X0) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_178081,c_16658]) ).
tcf(c_179717,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_178081,c_105]) ).
tcf(c_179727,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_179706,c_178083]) ).
tcf(c_179742,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_175506,c_178092]) ).
tcf(c_179743,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174842,c_178092]) ).
tcf(c_179744,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174841,c_178092]) ).
tcf(c_179745,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174840,c_178092]) ).
tcf(c_179746,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_178092,c_16658]) ).
tcf(c_179747,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_178092,c_105]) ).
tcf(c_179748,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c1,X0)) = multiply(inverse(iPr_def_15),X0),
inference(superposition,[status(thm)],[c_178092,c_177660]) ).
tcf(c_179751,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_179747,c_27707,c_178217,c_178247]) ).
tcf(c_179790,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178152,c_178092]) ).
tcf(c_179792,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_178152,c_177625]) ).
tcf(c_179793,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178152,c_178246]) ).
tcf(c_179794,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178152,c_178221]) ).
tcf(c_179795,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_178152,c_178078]) ).
tcf(c_179797,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178152,c_177615]) ).
tcf(c_179811,plain,
multiply(inverse(iPr_def_17),multiply(iPr_def_15,iPr_def_17)) = iPr_def_15,
inference(superposition,[status(thm)],[c_178225,c_16658]) ).
tcf(c_179812,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,iPr_def_17),X0) = multiply(iPr_def_17,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_178225,c_105]) ).
tcf(c_179814,plain,
multiply(inverse(iPr_def_15),multiply(iPr_def_15,iPr_def_17)) = multiply(sk_c1,iPr_def_15),
inference(superposition,[status(thm)],[c_178225,c_177660]) ).
tcf(c_179815,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178225,c_178326]) ).
tcf(c_179819,plain,
multiply(inverse(iPr_def_15),multiply(iPr_def_15,iPr_def_17)) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_179814,c_178246]) ).
tcf(c_179820,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,iPr_def_17),X0) = multiply(iPr_def_15,multiply(iPr_def_17,X0)),
inference(light_normalisation,[status(thm)],[c_179812,c_178048,c_178222]) ).
tcf(c_179829,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178228,c_178092]) ).
tcf(c_179831,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_178228,c_177625]) ).
tcf(c_179832,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178228,c_178246]) ).
tcf(c_179834,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_178228,c_178078]) ).
tcf(c_179836,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178228,c_177615]) ).
tcf(c_179854,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_16) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_178231,c_179178]) ).
tcf(c_179855,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_178231,c_179007]) ).
tcf(c_179856,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_178231,c_174518]) ).
tcf(c_179857,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178231,c_174222]) ).
tcf(c_179859,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_178231,c_172395]) ).
tcf(c_179860,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178231,c_173821]) ).
tcf(c_179861,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_178231,c_172376]) ).
tcf(c_179862,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_178231,c_174226]) ).
tcf(c_179863,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_178231,c_174219]) ).
tcf(c_179864,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_178231,c_174227]) ).
tcf(c_179865,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_178231,c_173614]) ).
tcf(c_179867,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178231,c_172415]) ).
tcf(c_179868,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c7 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_179864,c_144617]) ).
tcf(c_179875,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_179863,c_150086]) ).
tcf(c_179890,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_179856,c_150106]) ).
tcf(c_179893,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_179855,c_144621]) ).
tcf(c_179935,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178232,c_178092]) ).
tcf(c_179937,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_178232,c_177625]) ).
tcf(c_179938,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178232,c_178246]) ).
tcf(c_179939,plain,
( ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178232,c_178221]) ).
tcf(c_179940,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_178232,c_178078]) ).
tcf(c_179942,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178232,c_177615]) ).
tcf(c_179963,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178233,c_178092]) ).
tcf(c_179965,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_178233,c_177625]) ).
tcf(c_179966,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178233,c_178246]) ).
tcf(c_179967,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178233,c_178221]) ).
tcf(c_179968,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_178233,c_178078]) ).
tcf(c_179970,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178233,c_177615]) ).
tcf(c_180010,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_178235,c_17582]) ).
tcf(c_180019,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_178236,c_174520]) ).
tcf(c_180020,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178236,c_172335]) ).
tcf(c_180021,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_18) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_178236,c_172333]) ).
tcf(c_180022,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_178236,c_172390]) ).
tcf(c_180023,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178236,c_151348]) ).
tcf(c_180024,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178236,c_144616]) ).
tcf(c_180027,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_178236,c_144618]) ).
tcf(c_180028,plain,
( ( identity = iPr_def_17 )
| ( inverse(iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178236,c_144651]) ).
tcf(c_180030,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_178236,c_2899]) ).
tcf(c_180031,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178236,c_628]) ).
tcf(c_180041,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_180022,c_144146]) ).
tcf(c_180078,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176619,c_180031]) ).
tcf(c_180079,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_177921,c_180031]) ).
tcf(c_180080,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176470,c_180031]) ).
tcf(c_180082,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_180031,c_16658]) ).
tcf(c_180086,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_16) = multiply(iPr_def_23,sk_c8) ) ),
inference(superposition,[status(thm)],[c_180031,c_174875]) ).
tcf(c_180087,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_180031,c_23873]) ).
tcf(c_180088,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_180087,c_151364]) ).
tcf(c_180092,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c8) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_180086,c_151362]) ).
tcf(c_180095,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_180080,c_144146]) ).
tcf(c_180105,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,multiply(sk_c7,X0)),
inference(demodulation,[status(thm)],[c_151528,c_105]) ).
tcf(c_180106,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(iPr_def_23,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_176634,c_180105]) ).
tcf(c_180107,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,multiply(sk_c7,X0)) ) ),
inference(superposition,[status(thm)],[c_172441,c_180105]) ).
tcf(c_180108,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,multiply(sk_c7,X0)) ) ),
inference(superposition,[status(thm)],[c_144646,c_180105]) ).
tcf(c_180110,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,iPr_def_15)) = multiply(sk_c6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_177909,c_180105]) ).
tcf(c_180111,plain,
multiply(iPr_def_20,multiply(sk_c7,iPr_def_16)) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm)],[c_144639,c_180105]) ).
tcf(c_180112,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c7,multiply(sk_c7,X0))) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_144640,c_180105]) ).
tcf(c_180113,plain,
multiply(iPr_def_20,multiply(sk_c7,sk_c7)) = multiply(sk_c6,identity),
inference(superposition,[status(thm)],[c_144648,c_180105]) ).
tcf(c_180114,plain,
multiply(iPr_def_20,multiply(sk_c7,identity)) = multiply(sk_c6,iPr_def_16),
inference(superposition,[status(thm)],[c_17582,c_180105]) ).
tcf(c_180115,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c7,multiply(iPr_def_16,X0))) = multiply(sk_c6,multiply(sk_c8,X0)),
inference(superposition,[status(thm)],[c_144621,c_180105]) ).
tcf(c_180116,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,iPr_def_18)) = multiply(sk_c6,identity) ) ),
inference(superposition,[status(thm)],[c_172374,c_180105]) ).
tcf(c_180117,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,iPr_def_18)) = multiply(sk_c6,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172346,c_180105]) ).
tcf(c_180118,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c7,iPr_def_18)) = multiply(sk_c6,identity) ) ),
inference(superposition,[status(thm)],[c_23940,c_180105]) ).
tcf(c_180119,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,multiply(iPr_def_18,X0))) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_179419,c_180105]) ).
tcf(c_180120,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c7,multiply(iPr_def_18,X0))) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_23980,c_180105]) ).
tcf(c_180121,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,sk_c8)) = multiply(sk_c6,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172347,c_180105]) ).
tcf(c_180122,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,multiply(iPr_def_23,X0))) = multiply(sk_c6,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_179007,c_180105]) ).
tcf(c_180123,plain,
! [X0: $i] : multiply(inverse(sk_c6),multiply(iPr_def_20,multiply(sk_c7,X0))) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_180105,c_16658]) ).
tcf(c_180124,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_20,multiply(sk_c7,X0)),X1) = multiply(sk_c6,multiply(multiply(iPr_def_16,X0),X1)),
inference(superposition,[status(thm)],[c_180105,c_105]) ).
tcf(c_180125,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_20,multiply(sk_c7,X0))) = multiply(iPr_def_23,multiply(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_180105,c_179212]) ).
tcf(c_180126,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_20,multiply(sk_c7,X0))) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_180105,c_2916]) ).
tcf(c_180127,plain,
multiply(iPr_def_20,multiply(sk_c7,identity)) = multiply(iPr_def_20,sk_c7),
inference(light_normalisation,[status(thm)],[c_180114,c_151364]) ).
tcf(c_180129,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(inverse(sk_c8),X0)) = multiply(sk_c6,X0),
inference(light_normalisation,[status(thm)],[c_180112,c_154028]) ).
tcf(c_180131,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_180121,c_22402,c_174562]) ).
tcf(c_180134,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_16,iPr_def_23)) = multiply(sk_c6,identity) ) ),
inference(light_normalisation,[status(thm)],[c_180118,c_174520]) ).
tcf(c_180137,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_16,iPr_def_23)) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_180117,c_174520,c_174562]) ).
tcf(c_180140,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_16,iPr_def_23)) = multiply(sk_c6,identity) ) ),
inference(light_normalisation,[status(thm)],[c_180116,c_174520]) ).
tcf(c_180144,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,iPr_def_15)) = multiply(iPr_def_20,sk_c7) ) ),
inference(light_normalisation,[status(thm)],[c_180110,c_151364]) ).
tcf(c_180147,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_16,multiply(iPr_def_23,X0))) = multiply(sk_c6,X0) ) ),
inference(light_normalisation,[status(thm)],[c_180120,c_177217]) ).
tcf(c_180150,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_16,multiply(iPr_def_23,X0))) = multiply(sk_c6,X0) ) ),
inference(light_normalisation,[status(thm)],[c_180119,c_177217]) ).
tcf(c_180153,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(light_normalisation,[status(thm)],[c_180108,c_144621]) ).
tcf(c_180159,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,multiply(iPr_def_23,X0))) = multiply(iPr_def_20,multiply(sk_c7,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_180122,c_180105]) ).
tcf(c_180180,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_178237,c_174520]) ).
tcf(c_180182,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c8) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_178237,c_172333]) ).
tcf(c_180184,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_178237,c_172390]) ).
tcf(c_180186,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178237,c_144616]) ).
tcf(c_180187,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178237,c_144640]) ).
tcf(c_180189,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_178237,c_144618]) ).
tcf(c_180190,plain,
( ( identity = iPr_def_17 )
| ( inverse(sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178237,c_144651]) ).
tcf(c_180193,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_178237,c_2899]) ).
tcf(c_180194,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178237,c_628]) ).
tcf(c_180199,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = identity ) ),
inference(light_normalisation,[status(thm)],[c_180189,c_150086]) ).
tcf(c_180221,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,multiply(sk_c7,X0)) ) ),
inference(superposition,[status(thm)],[c_178249,c_180105]) ).
tcf(c_180222,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_16,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_178249,c_179212]) ).
tcf(c_180223,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_178249,c_179185]) ).
tcf(c_180224,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_24) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_178249,c_177468]) ).
tcf(c_180228,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_178249,c_151364]) ).
tcf(c_180235,plain,
( ( identity = iPr_def_17 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_178249,c_630]) ).
tcf(c_180244,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(light_normalisation,[status(thm)],[c_180221,c_144621]) ).
tcf(c_180255,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178250,c_180031]) ).
tcf(c_180258,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_178250,c_174875]) ).
tcf(c_180261,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_178250,c_174518]) ).
tcf(c_180264,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_178250,c_172347]) ).
tcf(c_180265,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_178250,c_174218]) ).
tcf(c_180266,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_178250,c_174219]) ).
tcf(c_180267,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178250,c_172381]) ).
tcf(c_180268,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_178250,c_172435]) ).
tcf(c_180269,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_178250,c_151467]) ).
tcf(c_180270,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_178250,c_151362]) ).
tcf(c_180271,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178250,c_151348]) ).
tcf(c_180272,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = multiply(iPr_def_18,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_178250,c_150086]) ).
tcf(c_180273,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_178250,c_144911]) ).
tcf(c_180274,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_178250,c_144279]) ).
tcf(c_180275,plain,
( ( identity = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178250,c_23284]) ).
tcf(c_180277,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_178250,c_2899]) ).
tcf(c_180278,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178250,c_628]) ).
tcf(c_180279,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_180278,c_174520]) ).
tcf(c_180302,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_180273,c_23873]) ).
tcf(c_180310,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_180269,c_24629,c_180105]) ).
tcf(c_180357,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_177921,c_180194]) ).
tcf(c_180358,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176470,c_180194]) ).
tcf(c_180360,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_180194,c_16658]) ).
tcf(c_180362,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = multiply(iPr_def_20,sk_c8) ) ),
inference(superposition,[status(thm)],[c_180194,c_144911]) ).
tcf(c_180363,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,sk_c8) ) ),
inference(superposition,[status(thm)],[c_180194,c_2899]) ).
tcf(c_180366,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c8) = multiply(iPr_def_20,sk_c7) ) ),
inference(light_normalisation,[status(thm)],[c_180362,c_151364]) ).
tcf(c_180373,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_171761,c_178222]) ).
tcf(c_180394,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180373,c_179592]) ).
tcf(c_180395,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180373,c_177916]) ).
tcf(c_180399,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_180373,c_174821]) ).
tcf(c_180400,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_180373,c_174820]) ).
tcf(c_180401,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180373,c_172314]) ).
tcf(c_180403,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180373,c_172380]) ).
tcf(c_180404,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180373,c_136063]) ).
tcf(c_180405,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180373,c_17605]) ).
tcf(c_180406,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_180373,c_17582]) ).
tcf(c_180407,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_180373,c_103]) ).
tcf(c_180414,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c1 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_180405,c_178217]) ).
tcf(c_180446,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_172299,c_173555,c_178222]) ).
tcf(c_180467,plain,
( ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178253,c_174821]) ).
tcf(c_180468,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178253,c_174820]) ).
tcf(c_180473,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178253,c_17605]) ).
tcf(c_180474,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_178253,c_17582]) ).
tcf(c_180476,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c1 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_180473,c_178217]) ).
tcf(c_180538,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178254,c_177916]) ).
tcf(c_180543,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178254,c_174820]) ).
tcf(c_180544,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178254,c_172314]) ).
tcf(c_180546,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178254,c_172380]) ).
tcf(c_180547,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178254,c_136063]) ).
tcf(c_180548,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178254,c_17605]) ).
tcf(c_180549,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_178254,c_17582]) ).
tcf(c_180550,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_178254,c_103]) ).
tcf(c_180551,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c1 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_180548,c_178217]) ).
tcf(c_180630,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178255,c_174820]) ).
tcf(c_180635,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178255,c_17605]) ).
tcf(c_180636,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_178255,c_17582]) ).
tcf(c_180637,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_178255,c_103]) ).
tcf(c_180638,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_180635,c_178217]) ).
tcf(c_180671,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178256,c_178254]) ).
tcf(c_180673,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178256,c_180373]) ).
tcf(c_180686,plain,
( ( identity = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_178256,c_17605]) ).
tcf(c_180687,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_178256,c_17582]) ).
tcf(c_180689,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_180686,c_174227]) ).
tcf(c_180739,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(iPr_def_17),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_180550,c_16658]) ).
tcf(c_180740,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_180550,c_105]) ).
tcf(c_180742,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_180550,c_177660]) ).
tcf(c_180744,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_180550,c_178225]) ).
tcf(c_180746,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_180550,c_178092]) ).
tcf(c_180747,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_180550,c_178078]) ).
tcf(c_180781,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_17),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_180637,c_16658]) ).
tcf(c_180782,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_180637,c_105]) ).
tcf(c_180784,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_180637,c_177660]) ).
tcf(c_180786,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_180637,c_178225]) ).
tcf(c_180788,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_180637,c_178092]) ).
tcf(c_180789,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_180637,c_178078]) ).
tcf(c_180842,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_18,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_172300,c_173555]) ).
tcf(c_180854,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_16) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_176619,c_172334]) ).
tcf(c_180855,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172334,c_16658]) ).
tcf(c_180856,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(multiply(iPr_def_16,iPr_def_18),X0) = multiply(iPr_def_18,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_172334,c_105]) ).
tcf(c_180859,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172334,c_179419]) ).
tcf(c_180860,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172334,c_23980]) ).
tcf(c_180861,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_18)) = multiply(iPr_def_23,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_172334,c_174875]) ).
tcf(c_180862,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_16,iPr_def_18)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172334,c_23873]) ).
tcf(c_180934,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178257,c_179592]) ).
tcf(c_180939,plain,
( ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178257,c_174821]) ).
tcf(c_180940,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178257,c_174820]) ).
tcf(c_180945,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178257,c_17605]) ).
tcf(c_180946,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_178257,c_17582]) ).
tcf(c_180948,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c1 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_180945,c_178217]) ).
tcf(c_181045,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178258,c_178254]) ).
tcf(c_181055,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_17 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178258,c_174821]) ).
tcf(c_181059,plain,
( ( identity = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_178258,c_17605]) ).
tcf(c_181060,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_178258,c_17582]) ).
tcf(c_181133,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178259,c_178258]) ).
tcf(c_181137,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178259,c_178254]) ).
tcf(c_181139,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178259,c_180373]) ).
tcf(c_181151,plain,
( ( identity = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_178259,c_17605]) ).
tcf(c_181152,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_178259,c_17582]) ).
tcf(c_181153,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_178259,c_103]) ).
tcf(c_181190,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178340,c_178092]) ).
tcf(c_181191,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178340,c_178081]) ).
tcf(c_181192,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_178340,c_177625]) ).
tcf(c_181194,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178340,c_178246]) ).
tcf(c_181195,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178340,c_178221]) ).
tcf(c_181196,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_178340,c_178078]) ).
tcf(c_181197,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_178340,c_177988]) ).
tcf(c_181198,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_178340,c_177615]) ).
tcf(c_181254,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_172309,c_181153]) ).
tcf(c_181256,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_181153,c_16658]) ).
tcf(c_181257,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_181153,c_105]) ).
tcf(c_181258,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_181153,c_174561]) ).
tcf(c_181259,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_181153,c_172376]) ).
tcf(c_181261,plain,
( ( identity = iPr_def_17 )
| ( sk_c6 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_181153,c_179178]) ).
tcf(c_181262,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_181153,c_177625]) ).
tcf(c_181374,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178376,c_174820]) ).
tcf(c_181378,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178376,c_17605]) ).
tcf(c_181379,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_178376,c_17582]) ).
tcf(c_181413,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178379,c_178376]) ).
tcf(c_181416,plain,
( ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178379,c_178257]) ).
tcf(c_181417,plain,
( ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178379,c_178255]) ).
tcf(c_181418,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178379,c_178254]) ).
tcf(c_181419,plain,
( ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178379,c_178253]) ).
tcf(c_181420,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178379,c_180373]) ).
tcf(c_181426,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178379,c_176918]) ).
tcf(c_181427,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178379,c_176868]) ).
tcf(c_181428,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_178379,c_174821]) ).
tcf(c_181433,plain,
( ( identity = iPr_def_15 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_178379,c_17605]) ).
tcf(c_181434,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_178379,c_17582]) ).
tcf(c_181476,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_16) = multiply(iPr_def_16,sk_c6) ) ),
inference(superposition,[status(thm)],[c_178231,c_178614]) ).
tcf(c_181477,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = multiply(iPr_def_20,sk_c6) ) ),
inference(superposition,[status(thm)],[c_174220,c_178614]) ).
tcf(c_181478,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c6) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172438,c_178614]) ).
tcf(c_181479,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_178249,c_178614]) ).
tcf(c_181480,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_176634,c_178614]) ).
tcf(c_181484,plain,
multiply(inverse(iPr_def_23),multiply(iPr_def_15,iPr_def_23)) = sk_c6,
inference(superposition,[status(thm)],[c_178614,c_16658]) ).
tcf(c_181485,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,iPr_def_23),X0) = multiply(iPr_def_23,multiply(sk_c6,X0)),
inference(superposition,[status(thm)],[c_178614,c_105]) ).
tcf(c_181486,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,iPr_def_23)) = multiply(iPr_def_16,sk_c6) ) ),
inference(superposition,[status(thm)],[c_178614,c_179007]) ).
tcf(c_181487,plain,
multiply(sk_c8,multiply(iPr_def_15,iPr_def_23)) = multiply(iPr_def_18,sk_c6),
inference(superposition,[status(thm)],[c_178614,c_174518]) ).
tcf(c_181488,plain,
multiply(iPr_def_20,multiply(iPr_def_15,iPr_def_23)) = sk_c6,
inference(superposition,[status(thm)],[c_178614,c_173821]) ).
tcf(c_181490,plain,
multiply(sk_c8,multiply(iPr_def_15,iPr_def_23)) = identity,
inference(light_normalisation,[status(thm)],[c_181487,c_1260]) ).
tcf(c_181491,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,iPr_def_23),X0) = multiply(inverse(sk_c8),X0),
inference(light_normalisation,[status(thm)],[c_181485,c_178597]) ).
tcf(c_181646,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179077,c_178092]) ).
tcf(c_181648,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_179077,c_177625]) ).
tcf(c_181649,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_179077,c_178246]) ).
tcf(c_181650,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_179077,c_178221]) ).
tcf(c_181651,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_179077,c_178078]) ).
tcf(c_181653,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_179077,c_177615]) ).
tcf(c_181696,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_174522,c_172363]) ).
tcf(c_181697,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_18,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172310,c_172363]) ).
tcf(c_181698,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172363,c_16658]) ).
tcf(c_181699,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_172363,c_105]) ).
tcf(c_181700,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_18,iPr_def_15)) = multiply(iPr_def_15,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172363,c_174146]) ).
tcf(c_181702,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_18,iPr_def_15)) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172363,c_174681]) ).
tcf(c_181703,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_18,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172363,c_174222]) ).
tcf(c_181704,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,iPr_def_15)) = multiply(sk_c8,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_172363,c_144284]) ).
tcf(c_181721,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,identity) ) ),
inference(light_normalisation,[status(thm)],[c_172369,c_173555]) ).
tcf(c_181727,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_176619,c_172371]) ).
tcf(c_181728,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_177909,c_172371]) ).
tcf(c_181730,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_144640,c_172371]) ).
tcf(c_181731,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_144648,c_172371]) ).
tcf(c_181734,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172374,c_172371]) ).
tcf(c_181735,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172346,c_172371]) ).
tcf(c_181738,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_179007,c_172371]) ).
tcf(c_181739,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_172371,c_16658]) ).
tcf(c_181740,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_172371,c_105]) ).
tcf(c_181741,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,X0)) = multiply(inverse(sk_c8),X0) ) ),
inference(superposition,[status(thm)],[c_172371,c_174875]) ).
tcf(c_181742,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_172371,c_23873]) ).
tcf(c_181937,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179110,c_178092]) ).
tcf(c_181939,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_179110,c_177625]) ).
tcf(c_181940,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_179110,c_178246]) ).
tcf(c_181941,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_179110,c_178221]) ).
tcf(c_181942,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_179110,c_178078]) ).
tcf(c_181944,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_179110,c_177615]) ).
tcf(c_181965,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_179187,c_178614]) ).
tcf(c_181967,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(iPr_def_23,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_179187,c_180105]) ).
tcf(c_181968,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_179187,c_179212]) ).
tcf(c_181969,plain,
( ( identity = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_179187,c_179185]) ).
tcf(c_181970,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179187,c_177468]) ).
tcf(c_181971,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_179187,c_174681]) ).
tcf(c_181972,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_179187,c_174562]) ).
tcf(c_181974,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c7) = multiply(iPr_def_23,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_179187,c_151364]) ).
tcf(c_181975,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_179187,c_144911]) ).
tcf(c_181976,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_179187,c_144279]) ).
tcf(c_181978,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179187,c_23873]) ).
tcf(c_181979,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_179187,c_23870]) ).
tcf(c_181980,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179187,c_2916]) ).
tcf(c_181981,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_15 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_179187,c_688]) ).
tcf(c_181982,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_179187,c_1260]) ).
tcf(c_181983,plain,
( ( identity = iPr_def_15 )
| ( inverse(iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_179187,c_630]) ).
tcf(c_181984,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_181983,c_174227]) ).
tcf(c_182004,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_181970,c_172415]) ).
tcf(c_182081,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_179201,c_178614]) ).
tcf(c_182082,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( identity = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179201,c_178249]) ).
tcf(c_182083,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,multiply(sk_c7,X0)) ) ),
inference(superposition,[status(thm)],[c_179201,c_180105]) ).
tcf(c_182084,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(identity,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_179201,c_179212]) ).
tcf(c_182085,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_179201,c_179185]) ).
tcf(c_182086,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_24) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179201,c_177468]) ).
tcf(c_182088,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_179201,c_174681]) ).
tcf(c_182089,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_179201,c_174562]) ).
tcf(c_182091,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_179201,c_151364]) ).
tcf(c_182092,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_179201,c_144911]) ).
tcf(c_182093,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_179201,c_144279]) ).
tcf(c_182095,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179201,c_23873]) ).
tcf(c_182096,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_179201,c_23870]) ).
tcf(c_182097,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179201,c_2916]) ).
tcf(c_182099,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = identity ) ),
inference(superposition,[status(thm)],[c_179201,c_1260]) ).
tcf(c_182100,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_179201,c_630]) ).
tcf(c_182127,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),X0) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182084,c_103]) ).
tcf(c_182137,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_181981,c_158,c_149,c_704,c_627,c_629,c_632,c_635,c_641,c_1040,c_1562,c_1565,c_2405,c_2546,c_2963,c_4190,c_4191,c_4192,c_4401,c_4402,c_4420,c_8676,c_9221,c_19081,c_19082,c_19220,c_23927,c_23965,c_31378,c_36373,c_37872,c_49143,c_49797,c_49845,c_50112,c_50689,c_54767,c_54806,c_55946,c_56606,c_56607,c_64122,c_74699,c_79315,c_84983,c_85057,c_85058,c_85897,c_85924,c_87072,c_87069,c_88738,c_100907,c_105673,c_105695,c_105714,c_105733,c_105734,c_105749,c_105926,c_105927,c_105934,c_105961,c_106145,c_106191,c_106493,c_106615,c_106831,c_106830,c_107030,c_107163,c_107164,c_107258,c_109400,c_114960,c_118915,c_121799,c_121798,c_124140,c_131216,c_132177,c_132557,c_136064,c_163487,c_163481,c_165087,c_165088,c_171593,c_178257,c_178379,c_181981]) ).
tcf(c_182161,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_182137,c_178379]) ).
tcf(c_182175,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_182137,c_174820]) ).
tcf(c_182179,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_182137,c_17605]) ).
tcf(c_182180,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_182137,c_17582]) ).
tcf(c_182223,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_18) = multiply(iPr_def_18,sk_c6) ) ),
inference(superposition,[status(thm)],[c_179543,c_178614]) ).
tcf(c_182225,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_18) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_179543,c_179178]) ).
tcf(c_182226,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_179543,c_179007]) ).
tcf(c_182227,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_179543,c_174518]) ).
tcf(c_182228,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179543,c_174222]) ).
tcf(c_182230,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_179543,c_172395]) ).
tcf(c_182231,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179543,c_173821]) ).
tcf(c_182232,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_24,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_179543,c_172376]) ).
tcf(c_182233,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_179543,c_174226]) ).
tcf(c_182235,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_179543,c_174227]) ).
tcf(c_182236,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_179543,c_173614]) ).
tcf(c_182238,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_179543,c_172415]) ).
tcf(c_182239,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c6 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_182235,c_24629]) ).
tcf(c_182247,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c8 = identity ) ),
inference(light_normalisation,[status(thm)],[c_182233,c_144146]) ).
tcf(c_182256,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_182228,c_144284]) ).
tcf(c_182259,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_18) = identity ) ),
inference(light_normalisation,[status(thm)],[c_182223,c_1260]) ).
tcf(c_182262,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182232,c_174561]) ).
tcf(c_182305,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_179545,c_181153]) ).
tcf(c_182306,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c1) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_179545,c_177625]) ).
tcf(c_182307,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_179545,c_179212]) ).
tcf(c_182308,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),sk_c6) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_179545,c_179185]) ).
tcf(c_182309,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_179545,c_179178]) ).
tcf(c_182310,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_18,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179545,c_177468]) ).
tcf(c_182312,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_179545,c_174561]) ).
tcf(c_182314,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_18,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_179545,c_172376]) ).
tcf(c_182317,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_18) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_179545,c_175354]) ).
tcf(c_182320,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_179545,c_172415]) ).
tcf(c_182327,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,sk_c6) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_182308,c_24629]) ).
tcf(c_182330,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = identity ) ),
inference(light_normalisation,[status(thm)],[c_182310,c_23870]) ).
tcf(c_182335,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182314,c_179254]) ).
tcf(c_182343,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182307,c_24629]) ).
tcf(c_182391,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_179554,c_178614]) ).
tcf(c_182393,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,multiply(sk_c7,X0)) ) ),
inference(superposition,[status(thm)],[c_179554,c_180105]) ).
tcf(c_182394,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_179554,c_179212]) ).
tcf(c_182395,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_179554,c_179185]) ).
tcf(c_182396,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_24) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179554,c_177468]) ).
tcf(c_182398,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_179554,c_174681]) ).
tcf(c_182399,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_179554,c_174562]) ).
tcf(c_182401,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_179554,c_151364]) ).
tcf(c_182402,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_179554,c_144911]) ).
tcf(c_182403,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_179554,c_144279]) ).
tcf(c_182407,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179554,c_2916]) ).
tcf(c_182409,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_179554,c_1260]) ).
tcf(c_182415,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c8 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_182399,c_144146]) ).
tcf(c_182424,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_182396,c_174557]) ).
tcf(c_182431,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182398,c_144284]) ).
tcf(c_182531,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,iPr_def_23),X0) = multiply(iPr_def_16,multiply(iPr_def_23,X0)),
inference(light_normalisation,[status(thm)],[c_176599,c_177217]) ).
tcf(c_182534,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(sk_c1,X0)),
inference(demodulation,[status(thm)],[c_179309,c_105]) ).
tcf(c_182537,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c1,X0)) = multiply(iPr_def_20,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_179545,c_182534]) ).
tcf(c_182538,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(iPr_def_20,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_174477,c_182534]) ).
tcf(c_182539,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = multiply(iPr_def_20,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_172309,c_182534]) ).
tcf(c_182540,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_23,multiply(sk_c1,X0)) ) ),
inference(superposition,[status(thm)],[c_172308,c_182534]) ).
tcf(c_182541,plain,
multiply(iPr_def_20,multiply(iPr_def_17,iPr_def_17)) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_177988,c_182534]) ).
tcf(c_182542,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_17,multiply(iPr_def_17,X0))) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_178081,c_182534]) ).
tcf(c_182543,plain,
multiply(iPr_def_20,multiply(iPr_def_17,iPr_def_15)) = multiply(iPr_def_24,iPr_def_17),
inference(superposition,[status(thm)],[c_178246,c_182534]) ).
tcf(c_182544,plain,
multiply(iPr_def_20,multiply(iPr_def_17,identity)) = multiply(iPr_def_24,sk_c1),
inference(superposition,[status(thm)],[c_17582,c_182534]) ).
tcf(c_182545,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_179110,c_182534]) ).
tcf(c_182546,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_179077,c_182534]) ).
tcf(c_182547,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_178340,c_182534]) ).
tcf(c_182548,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_178233,c_182534]) ).
tcf(c_182549,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_178232,c_182534]) ).
tcf(c_182550,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_178228,c_182534]) ).
tcf(c_182551,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_178152,c_182534]) ).
tcf(c_182552,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_178728,c_182534]) ).
tcf(c_182553,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_175506,c_182534]) ).
tcf(c_182554,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_174842,c_182534]) ).
tcf(c_182555,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_174841,c_182534]) ).
tcf(c_182556,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_174840,c_182534]) ).
tcf(c_182557,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_20,multiply(iPr_def_17,X0))) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_182534,c_16658]) ).
tcf(c_182558,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_20,multiply(iPr_def_17,X0)),X1) = multiply(iPr_def_24,multiply(multiply(sk_c1,X0),X1)),
inference(superposition,[status(thm)],[c_182534,c_105]) ).
tcf(c_182559,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_182534,c_181153]) ).
tcf(c_182560,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_182534,c_176934]) ).
tcf(c_182561,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_20,multiply(iPr_def_17,X0))) = multiply(iPr_def_20,multiply(sk_c1,X0)),
inference(superposition,[status(thm)],[c_182534,c_174561]) ).
tcf(c_182562,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_20,multiply(iPr_def_17,X0))) = multiply(iPr_def_15,multiply(sk_c1,X0)),
inference(superposition,[status(thm)],[c_182534,c_172376]) ).
tcf(c_182563,plain,
multiply(iPr_def_20,multiply(iPr_def_17,identity)) = multiply(iPr_def_20,iPr_def_17),
inference(light_normalisation,[status(thm)],[c_182544,c_177625]) ).
tcf(c_182564,plain,
multiply(iPr_def_20,multiply(iPr_def_15,iPr_def_17)) = multiply(iPr_def_24,iPr_def_17),
inference(light_normalisation,[status(thm)],[c_182543,c_178225]) ).
tcf(c_182567,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_20,multiply(iPr_def_17,X0))) = multiply(iPr_def_17,X0),
inference(light_normalisation,[status(thm)],[c_182562,c_176230]) ).
tcf(c_182572,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_20,multiply(iPr_def_17,X0)),X1) = multiply(iPr_def_24,multiply(sk_c1,multiply(X0,X1))),
inference(light_normalisation,[status(thm)],[c_182558,c_27707,c_178217,c_178247]) ).
tcf(c_182573,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182556,c_103]) ).
tcf(c_182576,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182555,c_103]) ).
tcf(c_182579,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182554,c_103]) ).
tcf(c_182582,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182553,c_103]) ).
tcf(c_182595,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182547,c_103]) ).
tcf(c_182604,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182539,c_176230]) ).
tcf(c_182715,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = multiply(iPr_def_18,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179569,c_172363]) ).
tcf(c_182716,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_179569,c_174146]) ).
tcf(c_182718,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_179569,c_174681]) ).
tcf(c_182719,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_179569,c_174545]) ).
tcf(c_182720,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_179569,c_172416]) ).
tcf(c_182722,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179569,c_174222]) ).
tcf(c_182723,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179569,c_173821]) ).
tcf(c_182724,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c7) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_179569,c_172333]) ).
tcf(c_182727,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_179569,c_175354]) ).
tcf(c_182729,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_179569,c_174562]) ).
tcf(c_182730,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_179569,c_174233]) ).
tcf(c_182731,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_179569,c_174226]) ).
tcf(c_182732,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179569,c_172390]) ).
tcf(c_182733,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_179569,c_174224]) ).
tcf(c_182734,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_179569,c_172381]) ).
tcf(c_182735,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_179569,c_173614]) ).
tcf(c_182736,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_179569,c_144284]) ).
tcf(c_182737,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_179569,c_144146]) ).
tcf(c_182738,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c7 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_182733,c_144617]) ).
tcf(c_182749,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_182729,c_151364]) ).
tcf(c_182757,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_182734,c_151362]) ).
tcf(c_182770,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182718,c_180105]) ).
tcf(c_182773,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182716,c_151467]) ).
tcf(c_182810,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179577,c_172371]) ).
tcf(c_182811,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179577,c_180031]) ).
tcf(c_182812,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179577,c_179419]) ).
tcf(c_182814,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_179577,c_178882]) ).
tcf(c_182816,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_179577,c_174875]) ).
tcf(c_182817,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_179577,c_174561]) ).
tcf(c_182819,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_179577,c_174520]) ).
tcf(c_182821,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_179577,c_172395]) ).
tcf(c_182822,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_179577,c_172374]) ).
tcf(c_182823,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179577,c_172368]) ).
tcf(c_182826,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_179577,c_174218]) ).
tcf(c_182827,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_179577,c_174557]) ).
tcf(c_182828,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_179577,c_144284]) ).
tcf(c_182829,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_179577,c_144146]) ).
tcf(c_182830,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179577,c_23284]) ).
tcf(c_182831,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179577,c_7334]) ).
tcf(c_182832,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179577,c_23873]) ).
tcf(c_182833,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_16) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_179577,c_24629]) ).
tcf(c_182835,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_179577,c_23870]) ).
tcf(c_182836,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_179577,c_2283]) ).
tcf(c_182837,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c6,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179577,c_2916]) ).
tcf(c_182838,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c6) = identity ) ),
inference(superposition,[status(thm)],[c_179577,c_1260]) ).
tcf(c_182839,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c7 = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_182833,c_144617]) ).
tcf(c_182844,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = identity ) ),
inference(light_normalisation,[status(thm)],[c_182835,c_151364]) ).
tcf(c_182859,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_182832,c_180105]) ).
tcf(c_182875,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_182816,c_151467]) ).
tcf(c_182878,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c8,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_182831,c_144621]) ).
tcf(c_182882,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(sk_c8,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_182812,c_144621]) ).
tcf(c_183002,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( sk_c8 = identity ) ),
inference(superposition,[status(thm)],[c_179604,c_178237]) ).
tcf(c_183004,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_18) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_179604,c_174520]) ).
tcf(c_183005,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179604,c_172335]) ).
tcf(c_183006,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_179604,c_172333]) ).
tcf(c_183008,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179604,c_172390]) ).
tcf(c_183009,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179604,c_151348]) ).
tcf(c_183010,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179604,c_144616]) ).
tcf(c_183011,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179604,c_144640]) ).
tcf(c_183012,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = identity ) ),
inference(superposition,[status(thm)],[c_179604,c_144648]) ).
tcf(c_183013,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_179604,c_144618]) ).
tcf(c_183014,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179604,c_144651]) ).
tcf(c_183017,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_179604,c_2899]) ).
tcf(c_183018,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179604,c_628]) ).
tcf(c_183112,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c1,X0)) = multiply(iPr_def_20,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_179685,c_182534]) ).
tcf(c_183114,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_179685,c_181153]) ).
tcf(c_183115,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c1) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_179685,c_177625]) ).
tcf(c_183116,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_179685,c_179212]) ).
tcf(c_183117,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),sk_c6) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_179685,c_179185]) ).
tcf(c_183118,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_179685,c_179178]) ).
tcf(c_183119,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179685,c_177468]) ).
tcf(c_183121,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_179685,c_174561]) ).
tcf(c_183123,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_179685,c_172376]) ).
tcf(c_183126,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179685,c_175354]) ).
tcf(c_183129,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_179685,c_172415]) ).
tcf(c_183136,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,sk_c6) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_183117,c_144617]) ).
tcf(c_183139,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_20,sk_c7) ) ),
inference(light_normalisation,[status(thm)],[c_183119,c_151364]) ).
tcf(c_183151,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_183116,c_144617]) ).
tcf(c_183211,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,multiply(sk_c1,X0)),
inference(demodulation,[status(thm)],[c_179338,c_105]) ).
tcf(c_183212,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,multiply(sk_c1,X0)) ) ),
inference(superposition,[status(thm)],[c_178250,c_183211]) ).
tcf(c_183213,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,multiply(sk_c1,X0)) ) ),
inference(superposition,[status(thm)],[c_177921,c_183211]) ).
tcf(c_183215,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,multiply(sk_c1,X0)) ) ),
inference(superposition,[status(thm)],[c_172440,c_183211]) ).
tcf(c_183216,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_180637,c_183211]) ).
tcf(c_183217,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_180550,c_183211]) ).
tcf(c_183218,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_178326,c_183211]) ).
tcf(c_183219,plain,
multiply(iPr_def_20,multiply(sk_c1,identity)) = multiply(sk_c8,iPr_def_17),
inference(superposition,[status(thm)],[c_17582,c_183211]) ).
tcf(c_183220,plain,
multiply(sk_c8,multiply(iPr_def_15,iPr_def_17)) = multiply(iPr_def_20,multiply(sk_c1,iPr_def_15)),
inference(superposition,[status(thm)],[c_178225,c_183211]) ).
tcf(c_183221,plain,
multiply(iPr_def_20,multiply(sk_c1,iPr_def_17)) = multiply(sk_c8,iPr_def_15),
inference(superposition,[status(thm)],[c_178252,c_183211]) ).
tcf(c_183222,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c1,multiply(sk_c1,X0))) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_178092,c_183211]) ).
tcf(c_183223,plain,
multiply(iPr_def_20,multiply(sk_c1,sk_c1)) = multiply(sk_c8,identity),
inference(superposition,[status(thm)],[c_178078,c_183211]) ).
tcf(c_183224,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(sk_c1,X0)) ) ),
inference(superposition,[status(thm)],[c_172327,c_183211]) ).
tcf(c_183225,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_20,multiply(sk_c1,X0))) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_183211,c_16658]) ).
tcf(c_183226,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_20,multiply(sk_c1,X0)),X1) = multiply(sk_c8,multiply(multiply(iPr_def_17,X0),X1)),
inference(superposition,[status(thm)],[c_183211,c_105]) ).
tcf(c_183227,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_20,multiply(sk_c1,X0))) = multiply(iPr_def_20,multiply(iPr_def_17,X0)),
inference(superposition,[status(thm)],[c_183211,c_144911]) ).
tcf(c_183228,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_20,multiply(sk_c1,X0))) = multiply(iPr_def_16,multiply(iPr_def_17,X0)),
inference(superposition,[status(thm)],[c_183211,c_2899]) ).
tcf(c_183230,plain,
multiply(iPr_def_20,multiply(sk_c1,identity)) = multiply(iPr_def_20,sk_c1),
inference(light_normalisation,[status(thm)],[c_183219,c_177626]) ).
tcf(c_183231,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(inverse(iPr_def_15),X0)) = multiply(sk_c8,X0),
inference(light_normalisation,[status(thm)],[c_183222,c_179748]) ).
tcf(c_183232,plain,
multiply(sk_c8,multiply(iPr_def_15,iPr_def_17)) = multiply(iPr_def_20,iPr_def_17),
inference(light_normalisation,[status(thm)],[c_183220,c_178246]) ).
tcf(c_183239,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_183224,c_172391]) ).
tcf(c_183961,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_22402,c_16686]) ).
tcf(c_183963,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(identity,multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_103,c_16686]) ).
tcf(c_183964,plain,
! [X0: $i,X1: $i] : multiply(inverse(identity),multiply(inverse(X0),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_104,c_16686]) ).
tcf(c_183965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),multiply(X2,X3))) = X3,
inference(superposition,[status(thm)],[c_105,c_16686]) ).
tcf(c_183966,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,iPr_def_23)),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_174520,c_16686]) ).
tcf(c_183967,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_23,X0))) = X0,
inference(superposition,[status(thm)],[c_174219,c_16686]) ).
tcf(c_183968,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_18,multiply(sk_c6,X0))) = X0,
inference(superposition,[status(thm)],[c_1260,c_16686]) ).
tcf(c_183969,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172334,c_16686]) ).
tcf(c_183970,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172403,c_16686]) ).
tcf(c_183971,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2283,c_16686]) ).
tcf(c_183972,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0,
inference(superposition,[status(thm)],[c_177988,c_16686]) ).
tcf(c_183973,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c1)),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0,
inference(superposition,[status(thm)],[c_177626,c_16686]) ).
tcf(c_183974,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_178977,c_16686]) ).
tcf(c_183975,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_178949,c_16686]) ).
tcf(c_183976,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_175659,c_16686]) ).
tcf(c_183977,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_181153,c_16686]) ).
tcf(c_183978,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_176934,c_16686]) ).
tcf(c_183979,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_176867,c_16686]) ).
tcf(c_183980,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_16,X0)),multiply(sk_c7,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2899,c_16686]) ).
tcf(c_183981,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(inverse(X1),multiply(multiply(X1,X0),X2))) = X2,
inference(superposition,[status(thm)],[c_16658,c_16686]) ).
tcf(c_183982,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(sk_c6,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2916,c_16686]) ).
tcf(c_183983,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c6,multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_23870,c_16686]) ).
tcf(c_183984,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_23,multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_174226,c_16686]) ).
tcf(c_183985,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_172371,c_16686]) ).
tcf(c_183986,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_7334,c_16686]) ).
tcf(c_183987,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(iPr_def_23,multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_172415,c_16686]) ).
tcf(c_183988,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_15,X0)),multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_172376,c_16686]) ).
tcf(c_183989,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172395,c_16686]) ).
tcf(c_183990,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_18,X0)),multiply(sk_c8,multiply(multiply(iPr_def_23,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_174518,c_16686]) ).
tcf(c_183991,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_23,multiply(multiply(iPr_def_20,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_174222,c_16686]) ).
tcf(c_183992,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_17,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_180637,c_16686]) ).
tcf(c_183993,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_17,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_180550,c_16686]) ).
tcf(c_183994,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_17,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_178326,c_16686]) ).
tcf(c_183995,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c1,multiply(multiply(iPr_def_17,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_178081,c_16686]) ).
tcf(c_183996,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,multiply(sk_c1,X0))),multiply(sk_c8,multiply(multiply(iPr_def_17,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_183211,c_16686]) ).
tcf(c_183997,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_172435,c_16686]) ).
tcf(c_183998,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172363,c_16686]) ).
tcf(c_183999,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,X0)),multiply(sk_c8,multiply(multiply(iPr_def_15,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_172391,c_16686]) ).
tcf(c_184000,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172411,c_16686]) ).
tcf(c_184001,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,iPr_def_15)),multiply(sk_c7,multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_172390,c_16686]) ).
tcf(c_184002,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_16,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_177909,c_16686]) ).
tcf(c_184003,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(sk_c1,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_178246,c_16686]) ).
tcf(c_184004,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_15,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172416,c_16686]) ).
tcf(c_184005,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_16,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_144639,c_16686]) ).
tcf(c_184006,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(sk_c7,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_144640,c_16686]) ).
tcf(c_184007,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_16,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_144648,c_16686]) ).
tcf(c_184008,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(inverse(sk_c8),multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_172381,c_16686]) ).
tcf(c_184010,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_15,X0)),multiply(inverse(sk_c8),multiply(multiply(iPr_def_20,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_174146,c_16686]) ).
tcf(c_184011,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,multiply(identity,X1))) = X1,
inference(superposition,[status(thm)],[c_17582,c_16686]) ).
tcf(c_184012,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(iPr_def_16,multiply(multiply(iPr_def_16,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_144621,c_16686]) ).
tcf(c_184013,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c7,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_144618,c_16686]) ).
tcf(c_184014,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c7,multiply(multiply(iPr_def_16,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_144616,c_16686]) ).
tcf(c_184015,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_18,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_180031,c_16686]) ).
tcf(c_184016,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_18,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172368,c_16686]) ).
tcf(c_184017,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_18,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_23284,c_16686]) ).
tcf(c_184018,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_18,multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_144146,c_16686]) ).
tcf(c_184019,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c6,multiply(multiply(iPr_def_18,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_23873,c_16686]) ).
tcf(c_184020,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172374,c_16686]) ).
tcf(c_184021,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172346,c_16686]) ).
tcf(c_184022,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_23940,c_16686]) ).
tcf(c_184023,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_179419,c_16686]) ).
tcf(c_184024,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23980,c_16686]) ).
tcf(c_184025,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c6,multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_174562,c_16686]) ).
tcf(c_184026,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_20,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_174233,c_16686]) ).
tcf(c_184027,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,iPr_def_17)),multiply(iPr_def_17,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_178225,c_16686]) ).
tcf(c_184028,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_144279,c_16686]) ).
tcf(c_184029,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,X0)),multiply(sk_c6,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_144911,c_16686]) ).
tcf(c_184030,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c7)),multiply(sk_c6,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_151364,c_16686]) ).
tcf(c_184031,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_16,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172347,c_16686]) ).
tcf(c_184032,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(iPr_def_17,X0))) = X0,
inference(superposition,[status(thm)],[c_178252,c_16686]) ).
tcf(c_184033,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_17,multiply(multiply(sk_c1,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_178092,c_16686]) ).
tcf(c_184034,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_17,multiply(sk_c1,X0))) = X0,
inference(superposition,[status(thm)],[c_178078,c_16686]) ).
tcf(c_184035,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(iPr_def_15,multiply(sk_c1,X0))) = X0,
inference(superposition,[status(thm)],[c_177615,c_16686]) ).
tcf(c_184036,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c8,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_180194,c_16686]) ).
tcf(c_184037,plain,
! [X0: $i] : multiply(inverse(sk_c6),multiply(iPr_def_24,multiply(iPr_def_23,X0))) = X0,
inference(superposition,[status(thm)],[c_179178,c_16686]) ).
tcf(c_184038,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_20,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_175438,c_16686]) ).
tcf(c_184039,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_20,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_175221,c_16686]) ).
tcf(c_184040,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_23,X0))) = X0,
inference(superposition,[status(thm)],[c_173614,c_16686]) ).
tcf(c_184041,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(iPr_def_18,multiply(multiply(iPr_def_20,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_144284,c_16686]) ).
tcf(c_184042,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(iPr_def_18,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_178882,c_16686]) ).
tcf(c_184043,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_24,X0)),multiply(sk_c6,multiply(multiply(iPr_def_20,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_174681,c_16686]) ).
tcf(c_184044,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_20,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_175354,c_16686]) ).
tcf(c_184045,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_16,X0)),multiply(iPr_def_16,multiply(multiply(iPr_def_23,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_179007,c_16686]) ).
tcf(c_184046,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_20,multiply(multiply(iPr_def_23,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_173821,c_16686]) ).
tcf(c_184047,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c8)),multiply(sk_c8,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_150086,c_16686]) ).
tcf(c_184048,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(sk_c8,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_151348,c_16686]) ).
tcf(c_184049,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_18,multiply(sk_c7,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172335,c_16686]) ).
tcf(c_184050,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(inverse(sk_c8),multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_151362,c_16686]) ).
tcf(c_184051,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_20,multiply(sk_c7,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_172333,c_16686]) ).
tcf(c_184052,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c7,X0)),multiply(inverse(sk_c8),multiply(multiply(iPr_def_16,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_151467,c_16686]) ).
tcf(c_184053,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,multiply(sk_c7,X0))),multiply(sk_c6,multiply(multiply(iPr_def_16,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_180105,c_16686]) ).
tcf(c_184054,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,X0)),multiply(iPr_def_18,multiply(multiply(iPr_def_24,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_174561,c_16686]) ).
tcf(c_184055,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_174557,c_16686]) ).
tcf(c_184056,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(inverse(sk_c8),multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_174218,c_16686]) ).
tcf(c_184057,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_24,X0)),multiply(iPr_def_20,multiply(multiply(iPr_def_15,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_174545,c_16686]) ).
tcf(c_184058,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_23,X0)),multiply(inverse(sk_c8),multiply(multiply(iPr_def_18,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_174875,c_16686]) ).
tcf(c_184059,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_24,iPr_def_15)),multiply(sk_c6,multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_177468,c_16686]) ).
tcf(c_184060,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(inverse(iPr_def_15),multiply(iPr_def_17,X0))) = X0,
inference(superposition,[status(thm)],[c_177623,c_16686]) ).
tcf(c_184061,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,iPr_def_17)),multiply(iPr_def_24,multiply(sk_c1,X0))) = X0,
inference(superposition,[status(thm)],[c_177625,c_16686]) ).
tcf(c_184062,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c1,X0)),multiply(inverse(iPr_def_15),multiply(multiply(iPr_def_17,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_177660,c_16686]) ).
tcf(c_184063,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,iPr_def_23)),multiply(iPr_def_23,multiply(sk_c6,X0))) = X0,
inference(superposition,[status(thm)],[c_178614,c_16686]) ).
tcf(c_184064,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(inverse(iPr_def_24),multiply(sk_c6,X0))) = X0,
inference(superposition,[status(thm)],[c_179185,c_16686]) ).
tcf(c_184065,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_23,X0)),multiply(inverse(iPr_def_24),multiply(multiply(sk_c6,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_179212,c_16686]) ).
tcf(c_184066,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_17,X0))),multiply(iPr_def_24,multiply(multiply(sk_c1,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_182534,c_16686]) ).
tcf(c_184067,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(identity,X0)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_103,c_16686]) ).
tcf(c_184068,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),identity) = X1,
inference(superposition,[status(thm)],[c_104,c_16686]) ).
tcf(c_184069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(X0,multiply(X1,multiply(X2,X3)))) = X3,
inference(superposition,[status(thm)],[c_105,c_16686]) ).
tcf(c_184070,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_15,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_178977,c_16686]) ).
tcf(c_184071,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_15,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_178949,c_16686]) ).
tcf(c_184072,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_15,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_175659,c_16686]) ).
tcf(c_184073,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_181153,c_16686]) ).
tcf(c_184074,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_176934,c_16686]) ).
tcf(c_184075,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_176867,c_16686]) ).
tcf(c_184076,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,sk_c8)),multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_2899,c_16686]) ).
tcf(c_184077,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_16658,c_16686]) ).
tcf(c_184078,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_18,sk_c6)),X0) = X0,
inference(superposition,[status(thm)],[c_2916,c_16686]) ).
tcf(c_184079,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_172371,c_16686]) ).
tcf(c_184080,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_7334,c_16686]) ).
tcf(c_184081,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,iPr_def_24)),multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_172376,c_16686]) ).
tcf(c_184082,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,iPr_def_23)),multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_174518,c_16686]) ).
tcf(c_184083,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,iPr_def_20)),X0) = X0,
inference(superposition,[status(thm)],[c_174222,c_16686]) ).
tcf(c_184084,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_17,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_180637,c_16686]) ).
tcf(c_184085,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_17,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_180550,c_16686]) ).
tcf(c_184086,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_17,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_178326,c_16686]) ).
tcf(c_184087,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,iPr_def_17)),X0) = X0,
inference(superposition,[status(thm)],[c_178081,c_16686]) ).
tcf(c_184088,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,iPr_def_17)),multiply(iPr_def_20,multiply(sk_c1,X0))) = X0,
inference(superposition,[status(thm)],[c_183211,c_16686]) ).
tcf(c_184089,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,iPr_def_15)),multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_172391,c_16686]) ).
tcf(c_184090,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c7)),X0) = X0,
inference(superposition,[status(thm)],[c_144640,c_16686]) ).
tcf(c_184092,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(sk_c8),iPr_def_20)),multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_174146,c_16686]) ).
tcf(c_184093,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,iPr_def_16)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_144621,c_16686]) ).
tcf(c_184094,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,iPr_def_16)),X0) = X0,
inference(superposition,[status(thm)],[c_144616,c_16686]) ).
tcf(c_184095,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,iPr_def_18)),X0) = X0,
inference(superposition,[status(thm)],[c_23873,c_16686]) ).
tcf(c_184096,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_179419,c_16686]) ).
tcf(c_184097,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23980,c_16686]) ).
tcf(c_184098,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,sk_c8)),multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_144911,c_16686]) ).
tcf(c_184099,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,sk_c1)),X0) = X0,
inference(superposition,[status(thm)],[c_178092,c_16686]) ).
tcf(c_184100,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_18,iPr_def_20)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_144284,c_16686]) ).
tcf(c_184101,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178882,c_16686]) ).
tcf(c_184102,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,iPr_def_20)),multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_174681,c_16686]) ).
tcf(c_184103,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_23)),multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_179007,c_16686]) ).
tcf(c_184104,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,iPr_def_23)),X0) = X0,
inference(superposition,[status(thm)],[c_173821,c_16686]) ).
tcf(c_184105,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(sk_c8),iPr_def_16)),multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_151467,c_16686]) ).
tcf(c_184106,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,iPr_def_16)),multiply(iPr_def_20,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_180105,c_16686]) ).
tcf(c_184107,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_18,iPr_def_24)),multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_174561,c_16686]) ).
tcf(c_184108,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,iPr_def_15)),multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_174545,c_16686]) ).
tcf(c_184109,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(sk_c8),iPr_def_18)),multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_174875,c_16686]) ).
tcf(c_184110,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(iPr_def_15),iPr_def_17)),multiply(sk_c1,X0)) = X0,
inference(superposition,[status(thm)],[c_177660,c_16686]) ).
tcf(c_184111,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(iPr_def_24),sk_c6)),multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_179212,c_16686]) ).
tcf(c_184112,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_24,sk_c1)),multiply(iPr_def_20,multiply(iPr_def_17,X0))) = X0,
inference(superposition,[status(thm)],[c_182534,c_16686]) ).
tcf(c_184113,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = sk_c8,
inference(superposition,[status(thm)],[c_22402,c_16686]) ).
tcf(c_184115,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,identity)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_103,c_16686]) ).
tcf(c_184116,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,identity)) = X1,
inference(superposition,[status(thm)],[c_104,c_16686]) ).
tcf(c_184117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,multiply(X2,X3)))) = X3,
inference(superposition,[status(thm)],[c_105,c_16686]) ).
tcf(c_184118,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,iPr_def_23))) = iPr_def_18,
inference(superposition,[status(thm)],[c_174520,c_16686]) ).
tcf(c_184119,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_23,
inference(superposition,[status(thm)],[c_174219,c_16686]) ).
tcf(c_184120,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = sk_c6,
inference(superposition,[status(thm)],[c_1260,c_16686]) ).
tcf(c_184121,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,multiply(iPr_def_16,iPr_def_18))) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172334,c_16686]) ).
tcf(c_184122,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172403,c_16686]) ).
tcf(c_184123,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2283,c_16686]) ).
tcf(c_184124,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,identity)) = iPr_def_17,
inference(superposition,[status(thm)],[c_177988,c_16686]) ).
tcf(c_184125,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_20,sk_c1))) = iPr_def_17,
inference(superposition,[status(thm)],[c_177626,c_16686]) ).
tcf(c_184126,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_178977,c_16686]) ).
tcf(c_184127,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_178949,c_16686]) ).
tcf(c_184128,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_175659,c_16686]) ).
tcf(c_184129,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_181153,c_16686]) ).
tcf(c_184130,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_176934,c_16686]) ).
tcf(c_184131,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_176867,c_16686]) ).
tcf(c_184132,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,X1))) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_2899,c_16686]) ).
tcf(c_184133,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_16658,c_16686]) ).
tcf(c_184134,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(sk_c6,X1),
inference(superposition,[status(thm)],[c_2916,c_16686]) ).
tcf(c_184135,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,identity)) = iPr_def_18,
inference(superposition,[status(thm)],[c_23870,c_16686]) ).
tcf(c_184136,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = iPr_def_20,
inference(superposition,[status(thm)],[c_174226,c_16686]) ).
tcf(c_184137,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_172371,c_16686]) ).
tcf(c_184138,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_7334,c_16686]) ).
tcf(c_184139,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_15)) = iPr_def_24,
inference(superposition,[status(thm)],[c_172415,c_16686]) ).
tcf(c_184140,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,multiply(iPr_def_15,X1))) = multiply(iPr_def_24,X1),
inference(superposition,[status(thm)],[c_172376,c_16686]) ).
tcf(c_184141,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172395,c_16686]) ).
tcf(c_184142,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(iPr_def_23,X1),
inference(superposition,[status(thm)],[c_174518,c_16686]) ).
tcf(c_184143,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,X1)) = multiply(iPr_def_20,X1),
inference(superposition,[status(thm)],[c_174222,c_16686]) ).
tcf(c_184144,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_180637,c_16686]) ).
tcf(c_184145,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_180550,c_16686]) ).
tcf(c_184146,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_178326,c_16686]) ).
tcf(c_184147,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,X1)) = multiply(iPr_def_17,X1),
inference(superposition,[status(thm)],[c_178081,c_16686]) ).
tcf(c_184148,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_20,multiply(sk_c1,X1)))) = multiply(iPr_def_17,X1),
inference(superposition,[status(thm)],[c_183211,c_16686]) ).
tcf(c_184149,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15,
inference(superposition,[status(thm)],[c_172435,c_16686]) ).
tcf(c_184150,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172363,c_16686]) ).
tcf(c_184151,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(iPr_def_15,X1),
inference(superposition,[status(thm)],[c_172391,c_16686]) ).
tcf(c_184152,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_172411,c_16686]) ).
tcf(c_184153,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,iPr_def_15))) = iPr_def_20,
inference(superposition,[status(thm)],[c_172390,c_16686]) ).
tcf(c_184154,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_16)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_177909,c_16686]) ).
tcf(c_184155,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_17)) = iPr_def_15,
inference(superposition,[status(thm)],[c_178246,c_16686]) ).
tcf(c_184156,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172416,c_16686]) ).
tcf(c_184157,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,sk_c8)) = iPr_def_16,
inference(superposition,[status(thm)],[c_144639,c_16686]) ).
tcf(c_184158,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(sk_c7,X1),
inference(superposition,[status(thm)],[c_144640,c_16686]) ).
tcf(c_184159,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = sk_c7,
inference(superposition,[status(thm)],[c_144648,c_16686]) ).
tcf(c_184160,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,iPr_def_15)) = iPr_def_20,
inference(superposition,[status(thm)],[c_172381,c_16686]) ).
tcf(c_184162,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,multiply(iPr_def_15,X1))) = multiply(iPr_def_20,X1),
inference(superposition,[status(thm)],[c_174146,c_16686]) ).
tcf(c_184163,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = identity,
inference(superposition,[status(thm)],[c_17582,c_16686]) ).
tcf(c_184164,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(sk_c8,X1))) = multiply(iPr_def_16,X1),
inference(superposition,[status(thm)],[c_144621,c_16686]) ).
tcf(c_184165,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,identity)) = iPr_def_16,
inference(superposition,[status(thm)],[c_144618,c_16686]) ).
tcf(c_184166,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,X1)) = multiply(iPr_def_16,X1),
inference(superposition,[status(thm)],[c_144616,c_16686]) ).
tcf(c_184167,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_16)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_180031,c_16686]) ).
tcf(c_184168,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_16)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_172368,c_16686]) ).
tcf(c_184169,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_16)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_23284,c_16686]) ).
tcf(c_184170,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,sk_c8)) = iPr_def_20,
inference(superposition,[status(thm)],[c_144146,c_16686]) ).
tcf(c_184171,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,X1)) = multiply(iPr_def_18,X1),
inference(superposition,[status(thm)],[c_23873,c_16686]) ).
tcf(c_184172,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172374,c_16686]) ).
tcf(c_184173,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_20)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_172346,c_16686]) ).
tcf(c_184174,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23940,c_16686]) ).
tcf(c_184175,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_179419,c_16686]) ).
tcf(c_184176,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_23980,c_16686]) ).
tcf(c_184177,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_24)) = iPr_def_20,
inference(superposition,[status(thm)],[c_174562,c_16686]) ).
tcf(c_184178,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_24)) = iPr_def_15,
inference(superposition,[status(thm)],[c_174233,c_16686]) ).
tcf(c_184179,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,multiply(iPr_def_15,iPr_def_17))) = iPr_def_15,
inference(superposition,[status(thm)],[c_178225,c_16686]) ).
tcf(c_184180,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = sk_c8,
inference(superposition,[status(thm)],[c_144279,c_16686]) ).
tcf(c_184181,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_144911,c_16686]) ).
tcf(c_184182,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_20,sk_c7))) = iPr_def_16,
inference(superposition,[status(thm)],[c_151364,c_16686]) ).
tcf(c_184183,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_172347,c_16686]) ).
tcf(c_184184,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = iPr_def_17,
inference(superposition,[status(thm)],[c_178252,c_16686]) ).
tcf(c_184185,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = multiply(sk_c1,X1),
inference(superposition,[status(thm)],[c_178092,c_16686]) ).
tcf(c_184186,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,identity)) = sk_c1,
inference(superposition,[status(thm)],[c_178078,c_16686]) ).
tcf(c_184187,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_17)) = sk_c1,
inference(superposition,[status(thm)],[c_177615,c_16686]) ).
tcf(c_184188,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_16)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_180194,c_16686]) ).
tcf(c_184189,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,sk_c6)) = iPr_def_23,
inference(superposition,[status(thm)],[c_179178,c_16686]) ).
tcf(c_184190,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175438,c_16686]) ).
tcf(c_184191,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_175221,c_16686]) ).
tcf(c_184192,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_23,
inference(superposition,[status(thm)],[c_173614,c_16686]) ).
tcf(c_184193,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,multiply(sk_c8,X1))) = multiply(iPr_def_20,X1),
inference(superposition,[status(thm)],[c_144284,c_16686]) ).
tcf(c_184194,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_178882,c_16686]) ).
tcf(c_184195,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(iPr_def_20,X1),
inference(superposition,[status(thm)],[c_174681,c_16686]) ).
tcf(c_184196,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_175354,c_16686]) ).
tcf(c_184197,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_16,X1))) = multiply(iPr_def_23,X1) ) ),
inference(superposition,[status(thm)],[c_179007,c_16686]) ).
tcf(c_184198,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = multiply(iPr_def_23,X1),
inference(superposition,[status(thm)],[c_173821,c_16686]) ).
tcf(c_184199,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_16,sk_c8))) = iPr_def_16,
inference(superposition,[status(thm)],[c_150086,c_16686]) ).
tcf(c_184200,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_16)) = sk_c7,
inference(superposition,[status(thm)],[c_151348,c_16686]) ).
tcf(c_184201,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_16)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_172335,c_16686]) ).
tcf(c_184202,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,sk_c7)) = iPr_def_16,
inference(superposition,[status(thm)],[c_151362,c_16686]) ).
tcf(c_184203,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,sk_c8)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_172333,c_16686]) ).
tcf(c_184204,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,multiply(sk_c7,X1))) = multiply(iPr_def_16,X1),
inference(superposition,[status(thm)],[c_151467,c_16686]) ).
tcf(c_184205,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_20,multiply(sk_c7,X1)))) = multiply(iPr_def_16,X1),
inference(superposition,[status(thm)],[c_180105,c_16686]) ).
tcf(c_184206,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(iPr_def_24,X1),
inference(superposition,[status(thm)],[c_174561,c_16686]) ).
tcf(c_184207,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_24,
inference(superposition,[status(thm)],[c_174557,c_16686]) ).
tcf(c_184208,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,iPr_def_23)) = iPr_def_18,
inference(superposition,[status(thm)],[c_174218,c_16686]) ).
tcf(c_184209,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(iPr_def_15,X1),
inference(superposition,[status(thm)],[c_174545,c_16686]) ).
tcf(c_184210,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,multiply(iPr_def_23,X1))) = multiply(iPr_def_18,X1),
inference(superposition,[status(thm)],[c_174875,c_16686]) ).
tcf(c_184211,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_24,iPr_def_15))) = iPr_def_24,
inference(superposition,[status(thm)],[c_177468,c_16686]) ).
tcf(c_184212,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_15))),multiply(X0,sk_c1)) = iPr_def_17,
inference(superposition,[status(thm)],[c_177623,c_16686]) ).
tcf(c_184213,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,multiply(iPr_def_20,iPr_def_17))) = sk_c1,
inference(superposition,[status(thm)],[c_177625,c_16686]) ).
tcf(c_184214,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_15))),multiply(X0,multiply(sk_c1,X1))) = multiply(iPr_def_17,X1),
inference(superposition,[status(thm)],[c_177660,c_16686]) ).
tcf(c_184215,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,multiply(iPr_def_15,iPr_def_23))) = sk_c6,
inference(superposition,[status(thm)],[c_178614,c_16686]) ).
tcf(c_184216,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_24))),multiply(X0,iPr_def_23)) = sk_c6,
inference(superposition,[status(thm)],[c_179185,c_16686]) ).
tcf(c_184217,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_24))),multiply(X0,multiply(iPr_def_23,X1))) = multiply(sk_c6,X1),
inference(superposition,[status(thm)],[c_179212,c_16686]) ).
tcf(c_184218,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,multiply(iPr_def_20,multiply(iPr_def_17,X1)))) = multiply(sk_c1,X1),
inference(superposition,[status(thm)],[c_182534,c_16686]) ).
tcf(c_184219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(inverse(multiply(X1,X2)),multiply(multiply(X1,multiply(X2,X0)),X3))) = X3,
inference(superposition,[status(thm)],[c_16686,c_16686]) ).
tcf(c_184220,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_16686,c_16658]) ).
tcf(c_184221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(multiply(X0,multiply(X1,X2)),X3)) = multiply(X2,X3),
inference(superposition,[status(thm)],[c_16686,c_105]) ).
tcf(c_184222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,X3)) = multiply(X1,multiply(X2,X3)),
inference(superposition,[status(thm)],[c_16686,c_16686]) ).
tcf(c_184223,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),X2) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_16686,c_16686]) ).
tcf(c_184233,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_184192,c_17582]) ).
tcf(c_184234,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),X0) = sk_c1,
inference(light_normalisation,[status(thm)],[c_184186,c_17582]) ).
tcf(c_184235,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),X0) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_184165,c_17582]) ).
tcf(c_184236,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),X0) = sk_c7,
inference(light_normalisation,[status(thm)],[c_184159,c_17582]) ).
tcf(c_184237,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),X0) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_184136,c_17582]) ).
tcf(c_184238,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),X0) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_184135,c_17582]) ).
tcf(c_184239,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),X0) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_184124,c_17582]) ).
tcf(c_184240,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_18)),X0) = sk_c6,
inference(light_normalisation,[status(thm)],[c_184120,c_17582]) ).
tcf(c_184250,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(iPr_def_15,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_184081,c_172415]) ).
tcf(c_184276,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(light_normalisation,[status(thm)],[c_184116,c_17582]) ).
tcf(c_184288,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,iPr_def_17)),multiply(iPr_def_20,multiply(iPr_def_17,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_184112,c_177625]) ).
tcf(c_184289,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c7)),multiply(iPr_def_20,multiply(sk_c7,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_184106,c_151364]) ).
tcf(c_184294,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c1)),multiply(iPr_def_20,multiply(sk_c1,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_184088,c_177626]) ).
tcf(c_184299,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,iPr_def_23)),multiply(inverse(sk_c8),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_184063,c_178597]) ).
tcf(c_184301,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_24,iPr_def_15)),multiply(iPr_def_24,multiply(iPr_def_15,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_184059,c_177475]) ).
tcf(c_184302,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c8)),multiply(iPr_def_16,multiply(sk_c8,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_184047,c_150106]) ).
tcf(c_184303,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_17,multiply(sk_c1,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_184033,c_27707,c_178217,c_178247]) ).
tcf(c_184305,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,iPr_def_17)),multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_184027,c_178048,c_178222]) ).
tcf(c_184306,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_16,multiply(sk_c7,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_184006,c_22224,c_144538,c_144617]) ).
tcf(c_184307,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,iPr_def_15)),multiply(iPr_def_16,multiply(iPr_def_15,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_184001,c_176379]) ).
tcf(c_184308,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_18,multiply(sk_c6,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_183982,c_23869,c_24629]) ).
tcf(c_184310,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,iPr_def_23)),multiply(iPr_def_16,multiply(iPr_def_23,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_183966,c_177217]) ).
tcf(c_184325,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_184174,c_17582]) ).
tcf(c_184330,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_184172,c_17582]) ).
tcf(c_184365,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_184123,c_17582]) ).
tcf(c_184368,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_184122,c_17582]) ).
tcf(c_184393,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_24,X0)),multiply(multiply(iPr_def_24,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_184057,c_177418]) ).
tcf(c_184394,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,X0)),multiply(multiply(iPr_def_20,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_184054,c_177454]) ).
tcf(c_184397,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,multiply(sk_c7,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184049,c_144617]) ).
tcf(c_184403,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(multiply(sk_c8,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_184041,c_149993]) ).
tcf(c_184406,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c7,multiply(sk_c8,multiply(sk_c8,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184036,c_144617]) ).
tcf(c_184409,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,multiply(sk_c8,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184031,c_174224]) ).
tcf(c_184413,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184022,c_17605]) ).
tcf(c_184416,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184021,c_174224]) ).
tcf(c_184419,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184020,c_17605]) ).
tcf(c_184422,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_18,multiply(sk_c8,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184017,c_144617]) ).
tcf(c_184425,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,multiply(sk_c8,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184016,c_144617]) ).
tcf(c_184428,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,multiply(sk_c8,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184015,c_144617]) ).
tcf(c_184434,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184002,c_144617]) ).
tcf(c_184437,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_18,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_184000,c_174224]) ).
tcf(c_184447,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_18,X0)),multiply(multiply(iPr_def_18,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_183990,c_177215]) ).
tcf(c_184448,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_18,multiply(iPr_def_23,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_183989,c_174224]) ).
tcf(c_184451,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_15,X0)),multiply(multiply(iPr_def_15,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_183988,c_176211]) ).
tcf(c_184452,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_16,X0)),multiply(multiply(iPr_def_16,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_183980,c_13454]) ).
tcf(c_184465,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_183971,c_17605]) ).
tcf(c_184468,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_183970,c_17605]) ).
tcf(c_184471,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_23,X0)),multiply(multiply(iPr_def_23,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_184065,c_23869,c_24629,c_179271]) ).
tcf(c_184472,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c1,X0)),multiply(sk_c1,multiply(X0,X1))) = X1,
inference(light_normalisation,[status(thm)],[c_184062,c_178652]) ).
tcf(c_184474,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c7,X0)),multiply(sk_c7,multiply(X0,X1))) = X1,
inference(light_normalisation,[status(thm)],[c_184052,c_154084]) ).
tcf(c_184488,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_17,X0))),multiply(iPr_def_24,multiply(sk_c1,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_184066,c_27707,c_178217,c_178247]) ).
tcf(c_185432,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_179692,c_174520]) ).
tcf(c_185434,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_179692,c_172333]) ).
tcf(c_185436,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_16,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_179692,c_172390]) ).
tcf(c_185437,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179692,c_151348]) ).
tcf(c_185445,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_179692,c_2899]) ).
tcf(c_185529,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( sk_c8 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_179868,c_178237]) ).
tcf(c_185531,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_20,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_179868,c_174520]) ).
tcf(c_185533,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_179868,c_172333]) ).
tcf(c_185535,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_179868,c_172390]) ).
tcf(c_185536,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179868,c_151348]) ).
tcf(c_185541,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179868,c_144651]) ).
tcf(c_185544,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_179868,c_2899]) ).
tcf(c_185545,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179868,c_628]) ).
tcf(c_185572,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_180476,c_182534]) ).
tcf(c_185574,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_180476,c_178092]) ).
tcf(c_185576,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_180476,c_177625]) ).
tcf(c_185577,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180476,c_178246]) ).
tcf(c_185579,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_180476,c_178078]) ).
tcf(c_185581,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180476,c_177615]) ).
tcf(c_185588,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_185579,c_178252]) ).
tcf(c_185607,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_180551,c_182534]) ).
tcf(c_185609,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_180551,c_178092]) ).
tcf(c_185611,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_180551,c_177625]) ).
tcf(c_185612,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180551,c_178246]) ).
tcf(c_185614,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_180551,c_178078]) ).
tcf(c_185627,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_185609,c_178083]) ).
tcf(c_185660,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178250,c_185545]) ).
tcf(c_185662,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176470,c_185545]) ).
tcf(c_185663,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172440,c_185545]) ).
tcf(c_185664,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_20,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_185545,c_16686]) ).
tcf(c_185665,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_185545,c_16658]) ).
tcf(c_185667,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_16)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_185545,c_16686]) ).
tcf(c_185668,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_16) = multiply(iPr_def_15,sk_c8) ) ),
inference(superposition,[status(thm)],[c_185545,c_174146]) ).
tcf(c_185670,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_16) = multiply(iPr_def_24,sk_c8) ) ),
inference(superposition,[status(thm)],[c_185545,c_174681]) ).
tcf(c_185671,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_185545,c_174222]) ).
tcf(c_185672,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_18,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_185545,c_144284]) ).
tcf(c_185682,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = multiply(iPr_def_24,sk_c8) ) ),
inference(light_normalisation,[status(thm)],[c_185670,c_151364]) ).
tcf(c_185685,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c8) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_185668,c_151362]) ).
tcf(c_185693,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_20,multiply(sk_c8,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_185664,c_144617]) ).
tcf(c_186134,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_180638,c_182534]) ).
tcf(c_186136,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_180638,c_178092]) ).
tcf(c_186138,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_180638,c_177625]) ).
tcf(c_186139,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180638,c_178246]) ).
tcf(c_186141,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_180638,c_178078]) ).
tcf(c_186150,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_186141,c_178252]) ).
tcf(c_186156,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_186136,c_178083]) ).
tcf(c_186185,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_180689,c_178379]) ).
tcf(c_186187,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180689,c_178259]) ).
tcf(c_186189,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180689,c_178256]) ).
tcf(c_186190,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180689,c_179592]) ).
tcf(c_186191,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180689,c_177916]) ).
tcf(c_186195,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_180689,c_174821]) ).
tcf(c_186197,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180689,c_172314]) ).
tcf(c_186199,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180689,c_172380]) ).
tcf(c_186202,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_180689,c_17582]) ).
tcf(c_186203,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_180689,c_103]) ).
tcf(c_186251,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_180747,c_182534]) ).
tcf(c_186258,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_180747,c_178092]) ).
tcf(c_186259,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_180747,c_178081]) ).
tcf(c_186260,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_180747,c_177625]) ).
tcf(c_186262,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180747,c_178246]) ).
tcf(c_186263,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180747,c_178221]) ).
tcf(c_186264,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_180747,c_178078]) ).
tcf(c_186265,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_180747,c_177988]) ).
tcf(c_186266,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180747,c_177615]) ).
tcf(c_186342,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_180789,c_182534]) ).
tcf(c_186349,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_180789,c_178092]) ).
tcf(c_186350,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_180789,c_178081]) ).
tcf(c_186351,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_180789,c_177625]) ).
tcf(c_186353,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180789,c_178246]) ).
tcf(c_186354,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180789,c_178221]) ).
tcf(c_186355,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_180789,c_178078]) ).
tcf(c_186356,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_180789,c_177988]) ).
tcf(c_186357,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180789,c_177615]) ).
tcf(c_186570,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(X0),multiply(iPr_def_17,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_186203,c_16686]) ).
tcf(c_186571,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_17),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_186203,c_16658]) ).
tcf(c_186572,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_186203,c_105]) ).
tcf(c_186573,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_186203,c_16686]) ).
tcf(c_186574,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_17,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_186203,c_16686]) ).
tcf(c_186575,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_186203,c_183211]) ).
tcf(c_186577,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_186203,c_177660]) ).
tcf(c_186579,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_186203,c_178225]) ).
tcf(c_186581,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_186203,c_178092]) ).
tcf(c_186582,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_186203,c_178078]) ).
tcf(c_186648,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_23,X0),X1) = multiply(iPr_def_23,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_18078,c_162388,c_174213,c_174224]) ).
tcf(c_186649,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_20,X0),X1) = multiply(iPr_def_20,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_18662,c_174227,c_174232]) ).
tcf(c_186664,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_180948,c_182534]) ).
tcf(c_186666,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_180948,c_178092]) ).
tcf(c_186668,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_180948,c_177625]) ).
tcf(c_186669,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180948,c_178246]) ).
tcf(c_186671,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_180948,c_178078]) ).
tcf(c_186673,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_180948,c_177615]) ).
tcf(c_186710,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_181133,c_178379]) ).
tcf(c_186712,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_181133,c_178259]) ).
tcf(c_186713,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_181133,c_178258]) ).
tcf(c_186714,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_181133,c_178256]) ).
tcf(c_186715,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_181133,c_179592]) ).
tcf(c_186716,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_181133,c_177916]) ).
tcf(c_186720,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_181133,c_174821]) ).
tcf(c_186721,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_181133,c_174820]) ).
tcf(c_186722,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_181133,c_172314]) ).
tcf(c_186724,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_181133,c_172380]) ).
tcf(c_186725,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_181133,c_136063]) ).
tcf(c_186727,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_181133,c_17582]) ).
tcf(c_186728,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_181133,c_103]) ).
tcf(c_186780,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_181261,c_178614]) ).
tcf(c_186782,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(iPr_def_23,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_181261,c_180105]) ).
tcf(c_186783,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_181261,c_179212]) ).
tcf(c_186784,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_181261,c_179185]) ).
tcf(c_186785,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_181261,c_177468]) ).
tcf(c_186786,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_181261,c_174681]) ).
tcf(c_186787,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_181261,c_174562]) ).
tcf(c_186789,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = multiply(iPr_def_23,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_181261,c_151364]) ).
tcf(c_186790,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_181261,c_144911]) ).
tcf(c_186791,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_181261,c_144279]) ).
tcf(c_186793,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_181261,c_23873]) ).
tcf(c_186794,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_181261,c_23870]) ).
tcf(c_186795,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_181261,c_2916]) ).
tcf(c_186797,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_181261,c_1260]) ).
tcf(c_186798,plain,
( ( identity = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_181261,c_630]) ).
tcf(c_186799,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_186798,c_174227]) ).
tcf(c_186816,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_186785,c_172415]) ).
tcf(c_186926,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_181428,c_17605]) ).
tcf(c_186927,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_181428,c_17582]) ).
tcf(c_186942,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_73030,c_695,c_1322,c_1332,c_1428,c_22652,c_172309]) ).
tcf(c_186973,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_17,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_186728,c_16686]) ).
tcf(c_186974,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(iPr_def_17),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_186728,c_16658]) ).
tcf(c_186975,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_186728,c_105]) ).
tcf(c_186976,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_186728,c_16686]) ).
tcf(c_186977,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_17,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_186728,c_16686]) ).
tcf(c_186978,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_186728,c_183211]) ).
tcf(c_186980,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_186728,c_177660]) ).
tcf(c_186982,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_186728,c_178225]) ).
tcf(c_186984,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_186728,c_178092]) ).
tcf(c_186985,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_186728,c_178078]) ).
tcf(c_187054,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c7,X0),X1) = multiply(sk_c7,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_22224,c_144538,c_144617]) ).
tcf(c_187055,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c6,X0),X1) = multiply(sk_c6,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_23869,c_24629]) ).
tcf(c_187056,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c1,X0),X1) = multiply(sk_c1,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_27707,c_178217,c_178247]) ).
tcf(c_187099,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_181984,c_17605]) ).
tcf(c_187100,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_181984,c_17582]) ).
tcf(c_187101,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_181984,c_103]) ).
tcf(c_187127,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_182239,c_178614]) ).
tcf(c_187129,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(iPr_def_20,multiply(iPr_def_16,X0)) ) ),
inference(superposition,[status(thm)],[c_182239,c_180105]) ).
tcf(c_187130,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_182239,c_179212]) ).
tcf(c_187131,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_182239,c_179185]) ).
tcf(c_187132,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_182239,c_177468]) ).
tcf(c_187134,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_182239,c_174681]) ).
tcf(c_187135,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_182239,c_174562]) ).
tcf(c_187137,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = multiply(iPr_def_20,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_182239,c_151364]) ).
tcf(c_187138,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_182239,c_144911]) ).
tcf(c_187139,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_182239,c_144279]) ).
tcf(c_187146,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_182239,c_630]) ).
tcf(c_187152,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_187131,c_179256]) ).
tcf(c_187164,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c8,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_187130,c_179257]) ).
tcf(c_187198,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_187101,c_16686]) ).
tcf(c_187199,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_187101,c_16658]) ).
tcf(c_187200,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_187101,c_105]) ).
tcf(c_187201,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_187101,c_16686]) ).
tcf(c_187202,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_15,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_187101,c_16686]) ).
tcf(c_187204,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_187101,c_174545]) ).
tcf(c_187205,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_187101,c_172391]) ).
tcf(c_187208,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_187101,c_177615]) ).
tcf(c_187244,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182247,c_185545]) ).
tcf(c_187245,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,multiply(sk_c1,X0)) ) ),
inference(superposition,[status(thm)],[c_182247,c_183211]) ).
tcf(c_187246,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(identity,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182247,c_180194]) ).
tcf(c_187248,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182247,c_180031]) ).
tcf(c_187250,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_17) = multiply(iPr_def_20,sk_c1) ) ),
inference(superposition,[status(thm)],[c_182247,c_177626]) ).
tcf(c_187251,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_182247,c_174875]) ).
tcf(c_187252,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_182247,c_174146]) ).
tcf(c_187254,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_182247,c_174518]) ).
tcf(c_187255,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_182247,c_172391]) ).
tcf(c_187257,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_182247,c_172347]) ).
tcf(c_187258,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_182247,c_174218]) ).
tcf(c_187259,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_182247,c_174219]) ).
tcf(c_187260,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_182247,c_172381]) ).
tcf(c_187262,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_182247,c_172435]) ).
tcf(c_187263,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_182247,c_151467]) ).
tcf(c_187264,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_182247,c_151362]) ).
tcf(c_187265,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182247,c_151348]) ).
tcf(c_187266,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_16) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_182247,c_150086]) ).
tcf(c_187267,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(identity,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_182247,c_144911]) ).
tcf(c_187268,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_182247,c_144279]) ).
tcf(c_187271,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(identity,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_182247,c_2899]) ).
tcf(c_187272,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182247,c_628]) ).
tcf(c_187287,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_16) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_187264,c_17605]) ).
tcf(c_187290,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_20) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_187260,c_17605]) ).
tcf(c_187293,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_18) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_187258,c_17605]) ).
tcf(c_187300,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_187271,c_103]) ).
tcf(c_187303,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_187267,c_103]) ).
tcf(c_187316,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_187263,c_17605]) ).
tcf(c_187319,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_187252,c_17605]) ).
tcf(c_187322,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_187251,c_17605]) ).
tcf(c_187397,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182415,c_185545]) ).
tcf(c_187398,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_182415,c_183211]) ).
tcf(c_187399,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182415,c_180194]) ).
tcf(c_187401,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182415,c_180031]) ).
tcf(c_187403,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c1) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_182415,c_177626]) ).
tcf(c_187405,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_182415,c_174146]) ).
tcf(c_187407,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_182415,c_174518]) ).
tcf(c_187409,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182415,c_172368]) ).
tcf(c_187412,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_182415,c_174219]) ).
tcf(c_187413,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_182415,c_172381]) ).
tcf(c_187416,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_182415,c_151467]) ).
tcf(c_187417,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_182415,c_151362]) ).
tcf(c_187418,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182415,c_151348]) ).
tcf(c_187419,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_24) = multiply(iPr_def_24,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_182415,c_150086]) ).
tcf(c_187420,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_182415,c_144911]) ).
tcf(c_187421,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_182415,c_144279]) ).
tcf(c_187424,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_24,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_182415,c_2899]) ).
tcf(c_187425,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182415,c_628]) ).
tcf(c_187437,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_187413,c_179256]) ).
tcf(c_187446,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_187420,c_177475]) ).
tcf(c_187449,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_187407,c_177473]) ).
tcf(c_187458,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_187405,c_179257]) ).
tcf(c_187527,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( sk_c8 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_182738,c_178237]) ).
tcf(c_187529,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_23,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_182738,c_174520]) ).
tcf(c_187530,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182738,c_172335]) ).
tcf(c_187531,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_23) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_182738,c_172333]) ).
tcf(c_187533,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_15) = multiply(iPr_def_23,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_182738,c_172390]) ).
tcf(c_187534,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182738,c_151348]) ).
tcf(c_187539,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182738,c_144651]) ).
tcf(c_187542,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_182738,c_2899]) ).
tcf(c_187543,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182738,c_628]) ).
tcf(c_187576,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_182757,c_178237]) ).
tcf(c_187578,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_18) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_182757,c_174520]) ).
tcf(c_187579,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182757,c_172335]) ).
tcf(c_187580,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_182757,c_172333]) ).
tcf(c_187582,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_182757,c_172390]) ).
tcf(c_187583,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182757,c_151348]) ).
tcf(c_187585,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_182757,c_144640]) ).
tcf(c_187588,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182757,c_144651]) ).
tcf(c_187591,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_182757,c_2899]) ).
tcf(c_187635,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182757,c_187425]) ).
tcf(c_187636,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182738,c_187425]) ).
tcf(c_187638,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179692,c_187425]) ).
tcf(c_187639,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_179604,c_187425]) ).
tcf(c_187640,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178237,c_187425]) ).
tcf(c_187647,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172309,c_187425]) ).
tcf(c_187648,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172308,c_187425]) ).
tcf(c_187649,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_187425,c_16686]) ).
tcf(c_187650,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_187425,c_16658]) ).
tcf(c_187652,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_187425,c_16686]) ).
tcf(c_187653,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_187425,c_144640]) ).
tcf(c_187671,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(sk_c7,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_187649,c_144617]) ).
tcf(c_187736,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182247,c_187543]) ).
tcf(c_187737,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_178250,c_187543]) ).
tcf(c_187738,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_177921,c_187543]) ).
tcf(c_187739,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_176470,c_187543]) ).
tcf(c_187740,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_172440,c_187543]) ).
tcf(c_187741,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_23,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_187543,c_16686]) ).
tcf(c_187742,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_187543,c_16658]) ).
tcf(c_187744,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_16)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_187543,c_16686]) ).
tcf(c_187745,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_187543,c_179007]) ).
tcf(c_187746,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_18,sk_c8) ) ),
inference(superposition,[status(thm)],[c_187543,c_174518]) ).
tcf(c_187756,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = multiply(iPr_def_18,sk_c8) ) ),
inference(light_normalisation,[status(thm)],[c_187746,c_150086]) ).
tcf(c_187764,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_23,multiply(sk_c8,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_187741,c_144617]) ).
tcf(c_187767,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_187745,c_144639]) ).
tcf(c_187787,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182839,c_187425]) ).
tcf(c_187788,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c6 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_182839,c_182757]) ).
tcf(c_187793,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( sk_c8 = sk_c6 ) ),
inference(superposition,[status(thm)],[c_182839,c_178237]) ).
tcf(c_187794,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( sk_c6 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_182839,c_178236]) ).
tcf(c_187795,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_182839,c_174520]) ).
tcf(c_187796,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c6) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182839,c_172335]) ).
tcf(c_187797,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c6) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_182839,c_172333]) ).
tcf(c_187799,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_182839,c_172390]) ).
tcf(c_187800,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,sk_c6) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182839,c_151348]) ).
tcf(c_187805,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(sk_c6) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182839,c_144651]) ).
tcf(c_187808,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_182839,c_2899]) ).
tcf(c_187809,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_182839,c_628]) ).
tcf(c_187819,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_187787,c_177468]) ).
tcf(c_187830,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_187808,c_144911]) ).
tcf(c_187876,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_185588,c_17605]) ).
tcf(c_187877,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_185588,c_17582]) ).
tcf(c_187938,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_186150,c_17605]) ).
tcf(c_187939,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_186150,c_17582]) ).
tcf(c_188000,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_186582,c_182534]) ).
tcf(c_188007,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_186582,c_178092]) ).
tcf(c_188008,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_186582,c_178081]) ).
tcf(c_188009,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_186582,c_177625]) ).
tcf(c_188011,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186582,c_178246]) ).
tcf(c_188012,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186582,c_178221]) ).
tcf(c_188013,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_186582,c_178078]) ).
tcf(c_188014,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_186582,c_177988]) ).
tcf(c_188015,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186582,c_177615]) ).
tcf(c_188030,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_188000,c_103]) ).
tcf(c_188063,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_23,multiply(iPr_def_17,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_9709,c_157465,c_172291,c_174213,c_178248]) ).
tcf(c_188074,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_23,identity) = multiply(iPr_def_23,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_17582,c_188063]) ).
tcf(c_188075,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_17)) = multiply(iPr_def_23,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_178225,c_188063]) ).
tcf(c_188076,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_23,iPr_def_15) = multiply(iPr_def_23,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_178252,c_188063]) ).
tcf(c_188077,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_178092,c_188063]) ).
tcf(c_188078,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_23,sk_c1) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_178078,c_188063]) ).
tcf(c_188079,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_172327,c_188063]) ).
tcf(c_188080,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_23,X0)),multiply(iPr_def_23,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_188063,c_16686]) ).
tcf(c_188081,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_188063,c_16658]) ).
tcf(c_188082,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_23,multiply(multiply(iPr_def_17,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1) ) ),
inference(superposition,[status(thm)],[c_188063,c_105]) ).
tcf(c_188083,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,multiply(iPr_def_23,X1))) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_188063,c_16686]) ).
tcf(c_188084,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_23,iPr_def_17)),multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_188063,c_16686]) ).
tcf(c_188086,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_188063,c_174518]) ).
tcf(c_188087,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_23,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_188063,c_173821]) ).
tcf(c_188102,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_188086,c_174518]) ).
tcf(c_188311,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_186799,c_178379]) ).
tcf(c_188313,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186799,c_178259]) ).
tcf(c_188314,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186799,c_178258]) ).
tcf(c_188315,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_23 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186799,c_178256]) ).
tcf(c_188316,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186799,c_179592]) ).
tcf(c_188317,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186799,c_177916]) ).
tcf(c_188321,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_186799,c_174821]) ).
tcf(c_188322,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_186799,c_174820]) ).
tcf(c_188323,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186799,c_172314]) ).
tcf(c_188325,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186799,c_172380]) ).
tcf(c_188326,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186799,c_136063]) ).
tcf(c_188327,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186799,c_17605]) ).
tcf(c_188328,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(X0,iPr_def_17) = X0 ) ),
inference(superposition,[status(thm)],[c_186799,c_17582]) ).
tcf(c_188329,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_186799,c_103]) ).
tcf(c_188562,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_186985,c_182534]) ).
tcf(c_188569,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_186985,c_178092]) ).
tcf(c_188570,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_186985,c_178081]) ).
tcf(c_188571,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_186985,c_177625]) ).
tcf(c_188573,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186985,c_178246]) ).
tcf(c_188574,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186985,c_178221]) ).
tcf(c_188575,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_186985,c_178078]) ).
tcf(c_188576,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_186985,c_177988]) ).
tcf(c_188577,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_186985,c_177615]) ).
tcf(c_188592,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_188562,c_103]) ).
tcf(c_188614,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_187208,c_182534]) ).
tcf(c_188616,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_187208,c_178092]) ).
tcf(c_188618,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_187208,c_177625]) ).
tcf(c_188619,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_187208,c_178246]) ).
tcf(c_188621,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_187208,c_178078]) ).
tcf(c_188623,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_187208,c_177615]) ).
tcf(c_188657,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_23,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_187788,c_178614]) ).
tcf(c_188659,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,multiply(sk_c7,X0)) ) ),
inference(superposition,[status(thm)],[c_187788,c_180105]) ).
tcf(c_188660,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_187788,c_179212]) ).
tcf(c_188661,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_187788,c_179185]) ).
tcf(c_188662,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_187788,c_177468]) ).
tcf(c_188664,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_187788,c_174681]) ).
tcf(c_188665,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_187788,c_174562]) ).
tcf(c_188667,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_16) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_187788,c_151364]) ).
tcf(c_188668,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_187788,c_144911]) ).
tcf(c_188669,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_187788,c_144279]) ).
tcf(c_188671,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_187788,c_23873]) ).
tcf(c_188673,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_187788,c_2916]) ).
tcf(c_188676,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_187788,c_630]) ).
tcf(c_188811,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_188676,c_177660]) ).
tcf(c_188812,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_188676,c_177623]) ).
tcf(c_188869,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_17,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_188329,c_16686]) ).
tcf(c_188870,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_17),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_188329,c_16658]) ).
tcf(c_188871,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_188329,c_105]) ).
tcf(c_188872,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_188329,c_16686]) ).
tcf(c_188873,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_17,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_188329,c_16686]) ).
tcf(c_188874,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_188329,c_183211]) ).
tcf(c_188876,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_188329,c_177660]) ).
tcf(c_188878,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_188329,c_178225]) ).
tcf(c_188880,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_188329,c_178092]) ).
tcf(c_188881,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_188329,c_178078]) ).
tcf(c_188937,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_188881,c_182534]) ).
tcf(c_188944,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_188881,c_178092]) ).
tcf(c_188945,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_188881,c_178081]) ).
tcf(c_188946,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_188881,c_177625]) ).
tcf(c_188948,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_188881,c_178246]) ).
tcf(c_188949,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_188881,c_178221]) ).
tcf(c_188950,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_188881,c_178078]) ).
tcf(c_188951,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_188881,c_177988]) ).
tcf(c_188952,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_188881,c_177615]) ).
tcf(c_188967,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_188937,c_103]) ).
tcf(c_189160,plain,
multiply(sk_c7,sk_c7) = multiply(iPr_def_15,iPr_def_23),
inference(light_normalisation,[status(thm)],[c_154029,c_178555]) ).
tcf(c_189171,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,sk_c6) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_182839,c_189160]) ).
tcf(c_189172,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_182757,c_189160]) ).
tcf(c_189174,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_179868,c_189160]) ).
tcf(c_189175,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_179692,c_189160]) ).
tcf(c_189176,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,identity) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_179604,c_189160]) ).
tcf(c_189177,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_178237,c_189160]) ).
tcf(c_189178,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_178236,c_189160]) ).
tcf(c_189179,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_172375,c_189160]) ).
tcf(c_189180,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_22368,c_189160]) ).
tcf(c_189181,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,iPr_def_23)),multiply(sk_c7,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_189160,c_16686]) ).
tcf(c_189182,plain,
multiply(inverse(sk_c7),multiply(iPr_def_15,iPr_def_23)) = sk_c7,
inference(superposition,[status(thm)],[c_189160,c_16658]) ).
tcf(c_189183,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,iPr_def_23),X0) = multiply(sk_c7,multiply(sk_c7,X0)),
inference(superposition,[status(thm)],[c_189160,c_105]) ).
tcf(c_189184,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_15,iPr_def_23))) = sk_c7,
inference(superposition,[status(thm)],[c_189160,c_16686]) ).
tcf(c_189185,plain,
multiply(iPr_def_16,multiply(iPr_def_15,iPr_def_23)) = sk_c7,
inference(superposition,[status(thm)],[c_189160,c_144640]) ).
tcf(c_189198,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_189175,c_144639]) ).
tcf(c_189209,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_23) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_187101,c_189185]) ).
tcf(c_189210,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_23) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_178977,c_189185]) ).
tcf(c_189211,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_23) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_178949,c_189185]) ).
tcf(c_189212,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_23) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_175659,c_189185]) ).
tcf(c_189213,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,iPr_def_18)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_179543,c_189185]) ).
tcf(c_189214,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,iPr_def_16)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_178231,c_189185]) ).
tcf(c_189215,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,iPr_def_20)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_174220,c_189185]) ).
tcf(c_189216,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_15,iPr_def_15)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_172438,c_189185]) ).
tcf(c_189217,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(iPr_def_16,multiply(multiply(iPr_def_15,iPr_def_23),X0))) = X0,
inference(superposition,[status(thm)],[c_189185,c_16686]) ).
tcf(c_189218,plain,
multiply(inverse(iPr_def_16),sk_c7) = multiply(iPr_def_15,iPr_def_23),
inference(superposition,[status(thm)],[c_189185,c_16658]) ).
tcf(c_189219,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(multiply(iPr_def_15,iPr_def_23),X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_189185,c_105]) ).
tcf(c_189220,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,sk_c7)) = multiply(iPr_def_15,iPr_def_23),
inference(superposition,[status(thm)],[c_189185,c_16686]) ).
tcf(c_189221,plain,
multiply(inverse(multiply(iPr_def_16,iPr_def_15)),sk_c7) = iPr_def_23,
inference(superposition,[status(thm)],[c_189185,c_16686]) ).
tcf(c_189222,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_18,sk_c7) ) ),
inference(superposition,[status(thm)],[c_189185,c_172371]) ).
tcf(c_189223,plain,
multiply(iPr_def_20,multiply(sk_c7,multiply(iPr_def_15,iPr_def_23))) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm)],[c_189185,c_180105]) ).
tcf(c_189224,plain,
multiply(sk_c7,multiply(iPr_def_15,iPr_def_23)) = multiply(inverse(sk_c8),sk_c7),
inference(superposition,[status(thm)],[c_189185,c_151467]) ).
tcf(c_189225,plain,
multiply(sk_c8,multiply(iPr_def_15,iPr_def_23)) = multiply(iPr_def_16,sk_c7),
inference(superposition,[status(thm)],[c_189185,c_144621]) ).
tcf(c_189227,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_23) = multiply(iPr_def_18,sk_c7) ) ),
inference(superposition,[status(thm)],[c_189185,c_7334]) ).
tcf(c_189242,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(inverse(sk_c8),X0)) = multiply(sk_c7,X0),
inference(light_normalisation,[status(thm)],[c_189219,c_181491]) ).
tcf(c_189251,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_16,multiply(inverse(sk_c8),X0))) = X0,
inference(light_normalisation,[status(thm)],[c_189217,c_144651,c_181491]) ).
tcf(c_189341,plain,
( ( identity = iPr_def_23 )
| ( sk_c1 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_157570,c_178217,c_178222]) ).
tcf(c_189363,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(iPr_def_17,X0)) ) ),
inference(superposition,[status(thm)],[c_189341,c_182534]) ).
tcf(c_189365,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_189341,c_178092]) ).
tcf(c_189367,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_189341,c_177625]) ).
tcf(c_189368,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_189341,c_178246]) ).
tcf(c_189369,plain,
( ( identity = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_189341,c_178221]) ).
tcf(c_189370,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_189341,c_178078]) ).
tcf(c_189384,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_189365,c_178083]) ).
tcf(c_189463,plain,
multiply(inverse(sk_c8),multiply(iPr_def_18,identity)) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_168142,c_173555]) ).
tcf(c_189484,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_15,X0),X1) = multiply(iPr_def_15,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_11927,c_103,c_172291,c_173555]) ).
tcf(c_189524,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_174264,c_177660]) ).
tcf(c_189525,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_174264,c_177623]) ).
tcf(c_189540,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_174480,c_16658]) ).
tcf(c_189541,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_174480,c_104]) ).
tcf(c_189542,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_174480,c_179212]) ).
tcf(c_189543,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c6) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_174480,c_179185]) ).
tcf(c_189564,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_17,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_175602,c_177660]) ).
tcf(c_189565,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_175602,c_177623]) ).
tcf(c_189578,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_175657,c_16658]) ).
tcf(c_189579,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_175657,c_104]) ).
tcf(c_189583,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_175657,c_177660]) ).
tcf(c_189584,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_175657,c_177623]) ).
tcf(c_189626,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_172308,c_189541]) ).
tcf(c_189627,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_189541,c_16686]) ).
tcf(c_189628,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_189541,c_16658]) ).
tcf(c_189629,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_189541,c_105]) ).
tcf(c_189630,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_189541,c_16686]) ).
tcf(c_189633,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_189541,c_174561]) ).
tcf(c_189634,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_189541,c_172376]) ).
tcf(c_189637,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_18) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_189628,c_179252]) ).
tcf(c_189645,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_189630,c_17582]) ).
tcf(c_189648,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_189627,c_17605]) ).
tcf(c_189661,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_189579,c_16686]) ).
tcf(c_189662,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_189579,c_16658]) ).
tcf(c_189663,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_189579,c_105]) ).
tcf(c_189664,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_189579,c_16686]) ).
tcf(c_189668,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_189579,c_178882]) ).
tcf(c_189670,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_189579,c_174545]) ).
tcf(c_189671,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_189579,c_172391]) ).
tcf(c_189672,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,sk_c1) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_189662,c_178645]) ).
tcf(c_189675,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c8,identity) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_189671,c_174233]) ).
tcf(c_189681,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_189664,c_17582]) ).
tcf(c_189684,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_189661,c_17605]) ).
tcf(c_189687,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_189668,c_174233]) ).
tcf(c_189714,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_176932,c_16658]) ).
tcf(c_189715,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_176932,c_104]) ).
tcf(c_189716,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_176932,c_179212]) ).
tcf(c_189717,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_24,sk_c6) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_176932,c_179185]) ).
tcf(c_189742,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_177124,c_177660]) ).
tcf(c_189743,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_177124,c_177623]) ).
tcf(c_189778,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_189715,c_16686]) ).
tcf(c_189779,plain,
( ( identity = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_189715,c_16658]) ).
tcf(c_189780,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_189715,c_105]) ).
tcf(c_189781,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_189715,c_16686]) ).
tcf(c_189784,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_189715,c_174561]) ).
tcf(c_189785,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_189715,c_172376]) ).
tcf(c_189786,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_18) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_189779,c_179252]) ).
tcf(c_189794,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_189781,c_17582]) ).
tcf(c_189797,plain,
! [X0: $i] :
( ( identity = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_189778,c_17605]) ).
tcf(c_189802,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(iPr_def_17,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1),
inference(light_normalisation,[status(thm)],[c_21461,c_172291,c_178247,c_178248]) ).
tcf(c_189820,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_177565,c_177660]) ).
tcf(c_189821,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_177565,c_177623]) ).
tcf(c_189838,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_177837,c_177660]) ).
tcf(c_189839,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_17) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_177837,c_177623]) ).
tcf(c_189840,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c1 = identity ) ),
inference(light_normalisation,[status(thm)],[c_189839,c_177988]) ).
tcf(c_189843,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_189838,c_178081]) ).
tcf(c_189870,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_189840,c_182534]) ).
tcf(c_189877,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_189840,c_178092]) ).
tcf(c_189878,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(identity,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_189840,c_178081]) ).
tcf(c_189879,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_17) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_189840,c_177625]) ).
tcf(c_189881,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(identity,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_189840,c_178246]) ).
tcf(c_189882,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_189840,c_178221]) ).
tcf(c_189883,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_17,identity) = identity ) ),
inference(superposition,[status(thm)],[c_189840,c_178078]) ).
tcf(c_189884,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(identity,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_189840,c_177988]) ).
tcf(c_189885,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_15,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_189840,c_177615]) ).
tcf(c_189900,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_189870,c_103]) ).
tcf(c_189965,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_182415,c_178552]) ).
tcf(c_189966,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(identity),iPr_def_24) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_182247,c_178552]) ).
tcf(c_189967,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_24) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_178250,c_178552]) ).
tcf(c_189968,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),iPr_def_24) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_177921,c_178552]) ).
tcf(c_189969,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_24) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_176470,c_178552]) ).
tcf(c_189970,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_24) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172440,c_178552]) ).
tcf(c_189971,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_16) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179685,c_178552]) ).
tcf(c_189972,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_18) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179545,c_178552]) ).
tcf(c_189973,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_174477,c_178552]) ).
tcf(c_189974,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_15) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172309,c_178552]) ).
tcf(c_189975,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_23) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172308,c_178552]) ).
tcf(c_189976,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,iPr_def_15)),multiply(inverse(sk_c8),multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_178552,c_16686]) ).
tcf(c_189977,plain,
multiply(inverse(inverse(sk_c8)),multiply(iPr_def_15,iPr_def_15)) = iPr_def_24,
inference(superposition,[status(thm)],[c_178552,c_16658]) ).
tcf(c_189978,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_24,X0)) = multiply(multiply(iPr_def_15,iPr_def_15),X0),
inference(superposition,[status(thm)],[c_178552,c_105]) ).
tcf(c_189979,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,multiply(iPr_def_15,iPr_def_15))) = iPr_def_24,
inference(superposition,[status(thm)],[c_178552,c_16686]) ).
tcf(c_189980,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,iPr_def_15),X0) = multiply(iPr_def_15,multiply(iPr_def_15,X0)),
inference(light_normalisation,[status(thm)],[c_189978,c_178559]) ).
tcf(c_189986,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_189972,c_174218]) ).
tcf(c_189989,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_189971,c_151362]) ).
tcf(c_189992,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_189970,c_24629,c_177468]) ).
tcf(c_189996,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_24) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_189968,c_144617]) ).
tcf(c_189999,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_189967,c_24629,c_177468]) ).
tcf(c_190002,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,iPr_def_24) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_189966,c_17605]) ).
tcf(c_190007,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,iPr_def_15)),multiply(iPr_def_15,multiply(iPr_def_15,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_189976,c_178559]) ).
tcf(c_190073,plain,
multiply(iPr_def_15,iPr_def_23) = inverse(sk_c8),
inference(demodulation,[status(thm)],[c_178555,c_17582]) ).
tcf(c_190074,plain,
multiply(iPr_def_16,inverse(sk_c8)) = sk_c7,
inference(demodulation,[status(thm)],[c_189185,c_190073]) ).
tcf(c_190075,plain,
multiply(sk_c7,sk_c7) = inverse(sk_c8),
inference(demodulation,[status(thm)],[c_189160,c_190073]) ).
tcf(c_190076,plain,
multiply(iPr_def_23,sk_c6) = inverse(sk_c8),
inference(demodulation,[status(thm)],[c_178614,c_190073]) ).
tcf(c_190081,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_18) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_179543,c_190073]) ).
tcf(c_190082,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_16) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_178231,c_190073]) ).
tcf(c_190083,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_174220,c_190073]) ).
tcf(c_190084,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_172438,c_190073]) ).
tcf(c_190085,plain,
! [X0: $i] : multiply(inverse(inverse(sk_c8)),multiply(iPr_def_15,multiply(iPr_def_23,X0))) = X0,
inference(superposition,[status(thm)],[c_190073,c_16686]) ).
tcf(c_190086,plain,
multiply(inverse(iPr_def_15),inverse(sk_c8)) = iPr_def_23,
inference(superposition,[status(thm)],[c_190073,c_16658]) ).
tcf(c_190088,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,inverse(sk_c8))) = iPr_def_23,
inference(superposition,[status(thm)],[c_190073,c_16686]) ).
tcf(c_190089,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(sk_c8) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_190073,c_187101]) ).
tcf(c_190090,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( inverse(sk_c8) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_190073,c_178977]) ).
tcf(c_190091,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(sk_c8) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_190073,c_178949]) ).
tcf(c_190092,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,inverse(sk_c8)) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_190073,c_178882]) ).
tcf(c_190093,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(sk_c8) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_190073,c_175659]) ).
tcf(c_190094,plain,
multiply(iPr_def_20,inverse(sk_c8)) = multiply(iPr_def_24,iPr_def_23),
inference(superposition,[status(thm)],[c_190073,c_174545]) ).
tcf(c_190095,plain,
multiply(sk_c8,inverse(sk_c8)) = multiply(iPr_def_20,iPr_def_23),
inference(superposition,[status(thm)],[c_190073,c_172391]) ).
tcf(c_190096,plain,
multiply(sk_c8,inverse(sk_c8)) = identity,
inference(light_normalisation,[status(thm)],[c_190095,c_173614]) ).
tcf(c_190097,plain,
multiply(iPr_def_20,inverse(sk_c8)) = sk_c6,
inference(light_normalisation,[status(thm)],[c_190094,c_179178]) ).
tcf(c_190114,plain,
! [X0: $i] : multiply(inverse(inverse(sk_c8)),multiply(inverse(sk_c8),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_190085,c_178557]) ).
tcf(c_190115,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,inverse(sk_c8)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_190092,c_173614]) ).
tcf(c_190197,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(iPr_def_24)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_182415,c_190074]) ).
tcf(c_190198,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(identity)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_182247,c_190074]) ).
tcf(c_190199,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(iPr_def_18)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_178250,c_190074]) ).
tcf(c_190200,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_177921,c_190074]) ).
tcf(c_190201,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(iPr_def_20)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_176470,c_190074]) ).
tcf(c_190202,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(iPr_def_18)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_172440,c_190074]) ).
tcf(c_190203,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(iPr_def_16,multiply(inverse(sk_c8),X0))) = X0,
inference(superposition,[status(thm)],[c_190074,c_16686]) ).
tcf(c_190204,plain,
multiply(inverse(iPr_def_16),sk_c7) = inverse(sk_c8),
inference(superposition,[status(thm)],[c_190074,c_16658]) ).
tcf(c_190206,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,sk_c7)) = inverse(sk_c8),
inference(superposition,[status(thm)],[c_190074,c_16686]) ).
tcf(c_190207,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c7) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_190074,c_172371]) ).
tcf(c_190208,plain,
multiply(iPr_def_20,multiply(sk_c7,inverse(sk_c8))) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm)],[c_190074,c_180105]) ).
tcf(c_190209,plain,
multiply(inverse(sk_c8),sk_c7) = multiply(sk_c7,inverse(sk_c8)),
inference(superposition,[status(thm)],[c_190074,c_151467]) ).
tcf(c_190210,plain,
multiply(sk_c8,inverse(sk_c8)) = multiply(iPr_def_16,sk_c7),
inference(superposition,[status(thm)],[c_190074,c_144621]) ).
tcf(c_190212,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c7) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_190074,c_7334]) ).
tcf(c_190219,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c6) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_190202,c_24629]) ).
tcf(c_190224,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c6) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_190199,c_24629]) ).
tcf(c_190227,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_190198,c_17605]) ).
tcf(c_190348,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,sk_c6) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_182839,c_190075]) ).
tcf(c_190350,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_182738,c_190075]) ).
tcf(c_190351,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_179868,c_190075]) ).
tcf(c_190352,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_179692,c_190075]) ).
tcf(c_190353,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,identity) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_179604,c_190075]) ).
tcf(c_190354,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c8,sk_c8) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_178237,c_190075]) ).
tcf(c_190355,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_178236,c_190075]) ).
tcf(c_190356,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_172375,c_190075]) ).
tcf(c_190357,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_22368,c_190075]) ).
tcf(c_190358,plain,
! [X0: $i] : multiply(inverse(inverse(sk_c8)),multiply(sk_c7,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_190075,c_16686]) ).
tcf(c_190359,plain,
multiply(inverse(sk_c7),inverse(sk_c8)) = sk_c7,
inference(superposition,[status(thm)],[c_190075,c_16658]) ).
tcf(c_190361,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,inverse(sk_c8))) = sk_c7,
inference(superposition,[status(thm)],[c_190075,c_16686]) ).
tcf(c_190374,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(sk_c8) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_190352,c_144639]) ).
tcf(c_190495,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c6) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_179543,c_190076]) ).
tcf(c_190496,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c6) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_178231,c_190076]) ).
tcf(c_190497,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c6) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_174220,c_190076]) ).
tcf(c_190498,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c6) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_172438,c_190076]) ).
tcf(c_190499,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_187788,c_190076]) ).
tcf(c_190500,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_182239,c_190076]) ).
tcf(c_190501,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_181261,c_190076]) ).
tcf(c_190502,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_18) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_179554,c_190076]) ).
tcf(c_190503,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_179201,c_190076]) ).
tcf(c_190504,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_23) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_179187,c_190076]) ).
tcf(c_190505,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_16) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_178249,c_190076]) ).
tcf(c_190507,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_16) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_172441,c_190076]) ).
tcf(c_190508,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_16) = inverse(sk_c8) ) ),
inference(superposition,[status(thm)],[c_144646,c_190076]) ).
tcf(c_190510,plain,
! [X0: $i] : multiply(inverse(inverse(sk_c8)),multiply(iPr_def_23,multiply(sk_c6,X0))) = X0,
inference(superposition,[status(thm)],[c_190076,c_16686]) ).
tcf(c_190511,plain,
multiply(inverse(iPr_def_23),inverse(sk_c8)) = sk_c6,
inference(superposition,[status(thm)],[c_190076,c_16658]) ).
tcf(c_190513,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,inverse(sk_c8))) = sk_c6,
inference(superposition,[status(thm)],[c_190076,c_16686]) ).
tcf(c_190514,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(sk_c8)) = multiply(iPr_def_16,sk_c6) ) ),
inference(superposition,[status(thm)],[c_190076,c_179007]) ).
tcf(c_190515,plain,
multiply(sk_c8,inverse(sk_c8)) = multiply(iPr_def_18,sk_c6),
inference(superposition,[status(thm)],[c_190076,c_174518]) ).
tcf(c_190533,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(sk_c8) = identity ) ),
inference(light_normalisation,[status(thm)],[c_190500,c_174226]) ).
tcf(c_190616,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) = identity ) ),
inference(superposition,[status(thm)],[c_182415,c_190096]) ).
tcf(c_190617,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,inverse(identity)) = identity ) ),
inference(superposition,[status(thm)],[c_182247,c_190096]) ).
tcf(c_190618,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_178250,c_190096]) ).
tcf(c_190619,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_177921,c_190096]) ).
tcf(c_190620,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) = identity ) ),
inference(superposition,[status(thm)],[c_176470,c_190096]) ).
tcf(c_190621,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_172440,c_190096]) ).
tcf(c_190622,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c8,multiply(inverse(sk_c8),X0))) = X0,
inference(superposition,[status(thm)],[c_190096,c_16686]) ).
tcf(c_190623,plain,
multiply(inverse(sk_c8),identity) = inverse(sk_c8),
inference(superposition,[status(thm)],[c_190096,c_16658]) ).
tcf(c_190624,plain,
! [X0: $i] : multiply(sk_c8,multiply(inverse(sk_c8),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_190096,c_105]) ).
tcf(c_190625,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,identity)) = inverse(sk_c8),
inference(superposition,[status(thm)],[c_190096,c_16686]) ).
tcf(c_190626,plain,
multiply(iPr_def_20,inverse(sk_c8)) = multiply(sk_c6,identity),
inference(superposition,[status(thm)],[c_190096,c_144911]) ).
tcf(c_190627,plain,
multiply(iPr_def_16,inverse(sk_c8)) = multiply(sk_c7,identity),
inference(superposition,[status(thm)],[c_190096,c_2899]) ).
tcf(c_190630,plain,
! [X0: $i] : multiply(sk_c8,multiply(inverse(sk_c8),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_190624,c_103]) ).
tcf(c_190635,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_190617,c_17605]) ).
tcf(c_190638,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),X0) = inverse(sk_c8),
inference(light_normalisation,[status(thm)],[c_190625,c_17582]) ).
tcf(c_190639,plain,
! [X0: $i] : multiply(identity,multiply(sk_c8,multiply(inverse(sk_c8),X0))) = X0,
inference(light_normalisation,[status(thm)],[c_190622,c_17605]) ).
tcf(c_190697,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(sk_c8)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_179569,c_190097]) ).
tcf(c_190698,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,inverse(sk_c8)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_174522,c_190097]) ).
tcf(c_190699,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,inverse(sk_c8)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_172310,c_190097]) ).
tcf(c_190700,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_24)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_182415,c_190097]) ).
tcf(c_190701,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(identity)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_182247,c_190097]) ).
tcf(c_190702,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_18)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_178250,c_190097]) ).
tcf(c_190703,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_16)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_177921,c_190097]) ).
tcf(c_190704,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_176470,c_190097]) ).
tcf(c_190705,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_18)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_172440,c_190097]) ).
tcf(c_190706,plain,
! [X0: $i] : multiply(inverse(sk_c6),multiply(iPr_def_20,multiply(inverse(sk_c8),X0))) = X0,
inference(superposition,[status(thm)],[c_190097,c_16686]) ).
tcf(c_190707,plain,
multiply(inverse(iPr_def_20),sk_c6) = inverse(sk_c8),
inference(superposition,[status(thm)],[c_190097,c_16658]) ).
tcf(c_190709,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,sk_c6)) = inverse(sk_c8),
inference(superposition,[status(thm)],[c_190097,c_16686]) ).
tcf(c_190710,plain,
multiply(inverse(sk_c8),sk_c6) = multiply(iPr_def_15,inverse(sk_c8)),
inference(superposition,[status(thm)],[c_190097,c_174146]) ).
tcf(c_190711,plain,
( ( identity = iPr_def_15 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_190097,c_176867]) ).
tcf(c_190712,plain,
multiply(iPr_def_24,inverse(sk_c8)) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm)],[c_190097,c_174681]) ).
tcf(c_190718,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c6) = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_190705,c_24629]) ).
tcf(c_190722,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c7) = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_190703,c_144617]) ).
tcf(c_190725,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c6) = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_190702,c_24629]) ).
tcf(c_190728,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_190701,c_17605]) ).
tcf(c_190800,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,inverse(sk_c8)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_177837,c_190086]) ).
tcf(c_190801,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c1,inverse(sk_c8)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_177565,c_190086]) ).
tcf(c_190802,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,inverse(sk_c8)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_177124,c_190086]) ).
tcf(c_190803,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,inverse(sk_c8)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_175657,c_190086]) ).
tcf(c_190804,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,inverse(sk_c8)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_175602,c_190086]) ).
tcf(c_190805,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(sk_c8)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_174264,c_190086]) ).
tcf(c_190806,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,inverse(sk_c8)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_188676,c_190086]) ).
tcf(c_190807,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),inverse(iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_182415,c_190086]) ).
tcf(c_190808,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),inverse(identity)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_182247,c_190086]) ).
tcf(c_190809,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),inverse(iPr_def_18)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_178250,c_190086]) ).
tcf(c_190810,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),inverse(iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_177921,c_190086]) ).
tcf(c_190811,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),inverse(iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_176470,c_190086]) ).
tcf(c_190812,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),inverse(iPr_def_18)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_172440,c_190086]) ).
tcf(c_190813,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(inverse(iPr_def_15),multiply(inverse(sk_c8),X0))) = X0,
inference(superposition,[status(thm)],[c_190086,c_16686]) ).
tcf(c_190814,plain,
multiply(inverse(inverse(iPr_def_15)),iPr_def_23) = inverse(sk_c8),
inference(superposition,[status(thm)],[c_190086,c_16658]) ).
tcf(c_190815,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(inverse(sk_c8),X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_190086,c_105]) ).
tcf(c_190816,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_15))),multiply(X0,iPr_def_23)) = inverse(sk_c8),
inference(superposition,[status(thm)],[c_190086,c_16686]) ).
tcf(c_190831,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),iPr_def_23) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_190811,c_174224]) ).
tcf(c_190834,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),sk_c7) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_190810,c_144617]) ).
tcf(c_190837,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),sk_c6) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_190809,c_24629]) ).
tcf(c_190840,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c1,sk_c1) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_190808,c_17605,c_178645]) ).
tcf(c_190845,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(inverse(iPr_def_15),multiply(inverse(sk_c8),X0))) = X0,
inference(light_normalisation,[status(thm)],[c_190813,c_174227]) ).
tcf(c_190992,plain,
multiply(sk_c8,multiply(iPr_def_15,iPr_def_15)) = iPr_def_24,
inference(superposition,[status(thm)],[c_178552,c_190630]) ).
tcf(c_190993,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_24),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_182415,c_190630]) ).
tcf(c_190994,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(identity),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_182247,c_190630]) ).
tcf(c_190995,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_178250,c_190630]) ).
tcf(c_190996,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(inverse(iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_177921,c_190630]) ).
tcf(c_190997,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_176470,c_190630]) ).
tcf(c_190998,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_172440,c_190630]) ).
tcf(c_190999,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c8,multiply(multiply(inverse(sk_c8),X0),X1))) = X1,
inference(superposition,[status(thm)],[c_190630,c_16686]) ).
tcf(c_191000,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(inverse(sk_c8),X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_190630,c_105]) ).
tcf(c_191001,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,X1)) = multiply(inverse(sk_c8),X1),
inference(superposition,[status(thm)],[c_190630,c_16686]) ).
tcf(c_191002,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,inverse(sk_c8))),X0) = X0,
inference(superposition,[status(thm)],[c_190630,c_16686]) ).
tcf(c_191017,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,multiply(inverse(sk_c8),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_177837,c_190815]) ).
tcf(c_191018,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(sk_c1,multiply(inverse(sk_c8),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_177565,c_190815]) ).
tcf(c_191019,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(sk_c1,multiply(inverse(sk_c8),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_177124,c_190815]) ).
tcf(c_191020,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(inverse(sk_c8),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_175657,c_190815]) ).
tcf(c_191021,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(sk_c8),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_175602,c_190815]) ).
tcf(c_191022,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(sk_c8),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_174264,c_190815]) ).
tcf(c_191023,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(inverse(sk_c8),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_188676,c_190815]) ).
tcf(c_191024,plain,
multiply(inverse(iPr_def_15),identity) = multiply(iPr_def_23,sk_c8),
inference(superposition,[status(thm)],[c_104,c_190815]) ).
tcf(c_191025,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c8,X0)) = multiply(inverse(iPr_def_15),X0),
inference(superposition,[status(thm)],[c_16658,c_190815]) ).
tcf(c_191026,plain,
multiply(inverse(iPr_def_15),iPr_def_15) = multiply(iPr_def_23,iPr_def_20),
inference(superposition,[status(thm)],[c_172381,c_190815]) ).
tcf(c_191027,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(iPr_def_15,X0)) = multiply(iPr_def_23,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_174146,c_190815]) ).
tcf(c_191028,plain,
multiply(inverse(iPr_def_15),inverse(sk_c8)) = multiply(iPr_def_23,identity),
inference(superposition,[status(thm)],[c_17582,c_190815]) ).
tcf(c_191029,plain,
multiply(inverse(iPr_def_15),sk_c7) = multiply(iPr_def_23,iPr_def_16),
inference(superposition,[status(thm)],[c_151362,c_190815]) ).
tcf(c_191030,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(sk_c7,X0)) = multiply(iPr_def_23,multiply(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_151467,c_190815]) ).
tcf(c_191031,plain,
multiply(inverse(iPr_def_15),iPr_def_23) = multiply(iPr_def_23,iPr_def_18),
inference(superposition,[status(thm)],[c_174218,c_190815]) ).
tcf(c_191032,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(iPr_def_23,X0)) = multiply(iPr_def_23,multiply(iPr_def_18,X0)),
inference(superposition,[status(thm)],[c_174875,c_190815]) ).
tcf(c_191033,plain,
multiply(inverse(iPr_def_15),multiply(iPr_def_15,iPr_def_15)) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_178552,c_190815]) ).
tcf(c_191034,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(inverse(iPr_def_24),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_182415,c_190815]) ).
tcf(c_191035,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(inverse(identity),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_182247,c_190815]) ).
tcf(c_191036,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(inverse(iPr_def_18),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_178250,c_190815]) ).
tcf(c_191037,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(inverse(iPr_def_16),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_177921,c_190815]) ).
tcf(c_191038,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(inverse(iPr_def_20),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_176470,c_190815]) ).
tcf(c_191039,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(inverse(iPr_def_18),X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_172440,c_190815]) ).
tcf(c_191040,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_23,X0)),multiply(inverse(iPr_def_15),multiply(multiply(inverse(sk_c8),X0),X1))) = X1,
inference(superposition,[status(thm)],[c_190815,c_16686]) ).
tcf(c_191041,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_15)),multiply(iPr_def_23,X0)) = multiply(inverse(sk_c8),X0),
inference(superposition,[status(thm)],[c_190815,c_16658]) ).
tcf(c_191042,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_15),multiply(multiply(inverse(sk_c8),X0),X1)) = multiply(multiply(iPr_def_23,X0),X1),
inference(superposition,[status(thm)],[c_190815,c_105]) ).
tcf(c_191043,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_15))),multiply(X0,multiply(iPr_def_23,X1))) = multiply(inverse(sk_c8),X1),
inference(superposition,[status(thm)],[c_190815,c_16686]) ).
tcf(c_191044,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(iPr_def_15),inverse(sk_c8))),multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_190815,c_16686]) ).
tcf(c_191047,plain,
multiply(inverse(iPr_def_15),multiply(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_191033,c_172415]) ).
tcf(c_191049,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(iPr_def_23,X0)) = multiply(inverse(iPr_def_24),X0),
inference(light_normalisation,[status(thm)],[c_191032,c_179254]) ).
tcf(c_191053,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_191022,c_180129]) ).
tcf(c_191067,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_191038,c_174224]) ).
tcf(c_191070,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c7,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_191037,c_144617]) ).
tcf(c_191073,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c6,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_191036,c_24629]) ).
tcf(c_191076,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_191035,c_103,c_17605]) ).
tcf(c_191686,plain,
multiply(iPr_def_23,sk_c8) = inverse(iPr_def_15),
inference(demodulation,[status(thm)],[c_191024,c_17582]) ).
tcf(c_191688,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c8) = inverse(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_179543,c_191686]) ).
tcf(c_191689,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = inverse(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_178231,c_191686]) ).
tcf(c_191690,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c8) = inverse(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_174220,c_191686]) ).
tcf(c_191691,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c8) = inverse(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172438,c_191686]) ).
tcf(c_191692,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = inverse(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_182415,c_191686]) ).
tcf(c_191693,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = inverse(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_182247,c_191686]) ).
tcf(c_191694,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_18) = inverse(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_178250,c_191686]) ).
tcf(c_191695,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_16) = inverse(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_177921,c_191686]) ).
tcf(c_191696,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = inverse(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_176470,c_191686]) ).
tcf(c_191697,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_18) = inverse(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_172440,c_191686]) ).
tcf(c_191698,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_15)),multiply(iPr_def_23,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_191686,c_16686]) ).
tcf(c_191699,plain,
multiply(inverse(iPr_def_23),inverse(iPr_def_15)) = sk_c8,
inference(superposition,[status(thm)],[c_191686,c_16658]) ).
tcf(c_191701,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,inverse(iPr_def_15))) = sk_c8,
inference(superposition,[status(thm)],[c_191686,c_16686]) ).
tcf(c_191702,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(iPr_def_15)) = multiply(iPr_def_16,sk_c8) ) ),
inference(superposition,[status(thm)],[c_191686,c_179007]) ).
tcf(c_191703,plain,
multiply(sk_c8,inverse(iPr_def_15)) = multiply(iPr_def_18,sk_c8),
inference(superposition,[status(thm)],[c_191686,c_174518]) ).
tcf(c_191704,plain,
multiply(iPr_def_20,inverse(iPr_def_15)) = sk_c8,
inference(superposition,[status(thm)],[c_191686,c_173821]) ).
tcf(c_191708,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_15) = identity ) ),
inference(light_normalisation,[status(thm)],[c_191696,c_174226]) ).
tcf(c_191726,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_15)),multiply(inverse(iPr_def_15),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_191698,c_191025]) ).
tcf(c_191759,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(iPr_def_15)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_179569,c_191704]) ).
tcf(c_191760,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,inverse(iPr_def_15)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_174522,c_191704]) ).
tcf(c_191761,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_172310,c_191704]) ).
tcf(c_191762,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,sk_c1) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_177837,c_191704]) ).
tcf(c_191763,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,sk_c1) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_177565,c_191704]) ).
tcf(c_191764,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_20,sk_c1) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_177124,c_191704]) ).
tcf(c_191769,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_20,multiply(inverse(iPr_def_15),X0))) = X0,
inference(superposition,[status(thm)],[c_191704,c_16686]) ).
tcf(c_191770,plain,
multiply(inverse(iPr_def_20),sk_c8) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_191704,c_16658]) ).
tcf(c_191772,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,sk_c8)) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_191704,c_16686]) ).
tcf(c_191773,plain,
multiply(inverse(sk_c8),sk_c8) = multiply(iPr_def_15,inverse(iPr_def_15)),
inference(superposition,[status(thm)],[c_191704,c_174146]) ).
tcf(c_191774,plain,
( ( identity = iPr_def_15 )
| ( inverse(iPr_def_15) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_191704,c_176867]) ).
tcf(c_191775,plain,
multiply(iPr_def_24,inverse(iPr_def_15)) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm)],[c_191704,c_174681]) ).
tcf(c_191779,plain,
multiply(iPr_def_24,inverse(iPr_def_15)) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_191775,c_144279]) ).
tcf(c_191905,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,inverse(iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_179685,c_191779]) ).
tcf(c_191906,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,inverse(iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_179545,c_191779]) ).
tcf(c_191907,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174477,c_191779]) ).
tcf(c_191908,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172309,c_191779]) ).
tcf(c_191909,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,inverse(iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_172308,c_191779]) ).
tcf(c_191910,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_24,sk_c1) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_177837,c_191779]) ).
tcf(c_191911,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_24,sk_c1) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_177565,c_191779]) ).
tcf(c_191912,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_24,sk_c1) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_177124,c_191779]) ).
tcf(c_191914,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_175602,c_191779]) ).
tcf(c_191915,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_174264,c_191779]) ).
tcf(c_191916,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_188676,c_191779]) ).
tcf(c_191917,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(iPr_def_24,multiply(inverse(iPr_def_15),X0))) = X0,
inference(superposition,[status(thm)],[c_191779,c_16686]) ).
tcf(c_191918,plain,
multiply(inverse(iPr_def_24),iPr_def_20) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_191779,c_16658]) ).
tcf(c_191919,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(inverse(iPr_def_15),X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_191779,c_105]) ).
tcf(c_191920,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_20)) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_191779,c_16686]) ).
tcf(c_191921,plain,
( ( identity = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_191779,c_181153]) ).
tcf(c_191922,plain,
( ( identity = iPr_def_15 )
| ( inverse(iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_191779,c_176934]) ).
tcf(c_191923,plain,
multiply(iPr_def_20,inverse(iPr_def_15)) = multiply(iPr_def_18,iPr_def_20),
inference(superposition,[status(thm)],[c_191779,c_174561]) ).
tcf(c_191924,plain,
multiply(iPr_def_15,inverse(iPr_def_15)) = multiply(iPr_def_23,iPr_def_20),
inference(superposition,[status(thm)],[c_191779,c_172376]) ).
tcf(c_191925,plain,
multiply(iPr_def_15,inverse(iPr_def_15)) = identity,
inference(light_normalisation,[status(thm)],[c_191924,c_174226]) ).
tcf(c_191936,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_191912,c_177625]) ).
tcf(c_191939,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_191911,c_177625]) ).
tcf(c_191942,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_17) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_191910,c_177625]) ).
tcf(c_191954,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,multiply(inverse(iPr_def_15),X0))) = X0,
inference(light_normalisation,[status(thm)],[c_191917,c_174224]) ).
tcf(c_192100,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_191954,c_191942,c_191939,c_191936,c_191925,c_191924,c_191923,c_191920,c_191919,c_191918,c_191917,c_191916,c_191915,c_191914,c_191912,c_191911,c_191910,c_191909,c_191908,c_191907,c_191906,c_191905,c_191922,c_191921,c_191779,c_191775,c_191773,c_191772,c_191770,c_191769,c_191764,c_191763,c_191762,c_191761,c_191760,c_191759,c_191774,c_191726,c_191708,c_191704,c_191703,c_191702,c_191701,c_191699,c_191698,c_191697,c_191696,c_191695,c_191694,c_191693,c_191692,c_191691,c_191690,c_191689,c_191688,c_191686,c_191076,c_191073,c_191070,c_191067,c_191053,c_191049,c_191047,c_191044,c_191043,c_191042,c_191041,c_191040,c_191039,c_191038,c_191037,c_191036,c_191035,c_191034,c_191033,c_191032,c_191031,c_191030,c_191029,c_191028,c_191027,c_191026,c_191025,c_191024,c_191023,c_191022,c_191021,c_191020,c_191019,c_191018,c_191017,c_191002,c_191001,c_191000,c_190999,c_190992,c_190998,c_190997,c_190996,c_190995,c_190994,c_190993,c_190845,c_190840,c_190837,c_190834,c_190831,c_190816,c_190815,c_190814,c_190813,c_190812,c_190811,c_190810,c_190809,c_190808,c_190807,c_190806,c_190805,c_190804,c_190803,c_190802,c_190801,c_190800,c_190728,c_190725,c_190722,c_190718,c_190712,c_190710,c_190709,c_190707,c_190706,c_190705,c_190704,c_190703,c_190702,c_190701,c_190700,c_190699,c_190698,c_190697,c_190711,c_190639,c_190638,c_190635,c_190630,c_190627,c_190626,c_190625,c_190624,c_190623,c_190622,c_190621,c_190620,c_190619,c_190618,c_190617,c_190616,c_190533,c_190515,c_190514,c_190513,c_190511,c_190510,c_190508,c_190507,c_190505,c_190504,c_190503,c_190502,c_190501,c_190500,c_190499,c_190498,c_190497,c_190496,c_190495,c_190374,c_190361,c_190359,c_190358,c_190357,c_190356,c_190355,c_190354,c_190353,c_190352,c_190351,c_190350,c_190348,c_190227,c_190224,c_190219,c_190212,c_190210,c_190209,c_190208,c_190207,c_190206,c_190204,c_190203,c_190202,c_190201,c_190200,c_190199,c_190198,c_190197,c_190115,c_190114,c_190097,c_190096,c_190095,c_190094,c_190092,c_190088,c_190086,c_190085,c_190084,c_190083,c_190082,c_190081,c_190093,c_190091,c_190090,c_190089,c_190076,c_190075,c_190074,c_190073,c_190007,c_190002,c_189999,c_189996,c_189992,c_189989,c_189986,c_189980,c_189979,c_189978,c_189977,c_189976,c_189975,c_189974,c_189973,c_189972,c_189971,c_189970,c_189969,c_189968,c_189967,c_189966,c_189965,c_189900,c_189885,c_189884,c_189883,c_189882,c_189881,c_189879,c_189878,c_189877,c_189870,c_189843,c_189840,c_189839,c_189838,c_189821,c_189820,c_189802,c_189797,c_189794,c_189786,c_189785,c_189784,c_189781,c_189780,c_189779,c_189778,c_189743,c_189742,c_189717,c_189716,c_189715,c_189714,c_189687,c_189684,c_189681,c_189675,c_189672,c_189671,c_189670,c_189668,c_189664,c_189663,c_189662,c_189661,c_189648,c_189645,c_189637,c_189634,c_189633,c_189630,c_189629,c_189628,c_189627,c_189626,c_189584,c_189583,c_189579,c_189578,c_189565,c_189564,c_189543,c_189542,c_189541,c_189540,c_189525,c_189524,c_189484,c_189463,c_189384,c_189370,c_189369,c_189368,c_189367,c_189365,c_189363,c_189341,c_189251,c_189242,c_189227,c_189225,c_189224,c_189223,c_189222,c_189221,c_189220,c_189219,c_189218,c_189217,c_189216,c_189215,c_189214,c_189213,c_189212,c_189211,c_189210,c_189209,c_189198,c_189185,c_189184,c_189183,c_189182,c_189181,c_189180,c_189179,c_189178,c_189177,c_189176,c_189175,c_189174,c_189172,c_189171,c_189160,c_188967,c_188952,c_188951,c_188950,c_188949,c_188948,c_188946,c_188945,c_188944,c_188937,c_188876,c_188874,c_188873,c_188872,c_188871,c_188870,c_188869,c_188881,c_188880,c_188878,c_188812,c_188811,c_188676,c_188673,c_188671,c_188669,c_188668,c_188667,c_188665,c_188664,c_188662,c_188661,c_188660,c_188659,c_188657,c_188623,c_188621,c_188619,c_188618,c_188616,c_188614,c_188592,c_188577,c_188576,c_188575,c_188574,c_188573,c_188571,c_188570,c_188569,c_188562,c_188329,c_188328,c_188327,c_188326,c_188325,c_188323,c_188322,c_188321,c_188317,c_188316,c_188315,c_188314,c_188313,c_188311,c_188102,c_188087,c_188086,c_188084,c_188083,c_188082,c_188081,c_188080,c_188079,c_188078,c_188077,c_188076,c_188075,c_188074,c_188063,c_188030,c_188015,c_188014,c_188013,c_188012,c_188011,c_188009,c_188008,c_188007,c_188000,c_187939,c_187938,c_187877,c_187876,c_187830,c_187819,c_187808,c_187809,c_187805,c_187800,c_187799,c_187797,c_187796,c_187795,c_187787,c_187794,c_187793,c_187788,c_187767,c_187764,c_187756,c_187746,c_187745,c_187744,c_187742,c_187741,c_187740,c_187739,c_187738,c_187737,c_187736,c_187671,c_187653,c_187652,c_187650,c_187649,c_187648,c_187647,c_187640,c_187639,c_187638,c_187636,c_187635,c_187591,c_187588,c_187585,c_187583,c_187582,c_187580,c_187579,c_187578,c_187576,c_187542,c_187543,c_187539,c_187534,c_187533,c_187531,c_187530,c_187529,c_187527,c_187458,c_187449,c_187437,c_187424,c_187425,c_187421,c_187420,c_187419,c_187418,c_187417,c_187416,c_187413,c_187412,c_187409,c_187446,c_187407,c_187405,c_187403,c_187401,c_187399,c_187398,c_187397,c_187322,c_187319,c_187316,c_187303,c_187300,c_187293,c_187290,c_187287,c_187271,c_187272,c_187268,c_187267,c_187266,c_187265,c_187264,c_187263,c_187262,c_187260,c_187259,c_187258,c_187257,c_187255,c_187254,c_187252,c_187251,c_187250,c_187248,c_187246,c_187245,c_187244,c_187205,c_187204,c_187202,c_187201,c_187200,c_187199,c_187198,c_187208,c_187164,c_187152,c_187146,c_187139,c_187138,c_187137,c_187135,c_187134,c_187132,c_187131,c_187130,c_187129,c_187127,c_187101,c_187100,c_187099,c_187056,c_187055,c_187054,c_186980,c_186978,c_186977,c_186976,c_186975,c_186974,c_186973,c_186985,c_186984,c_186982,c_186942,c_186927,c_186926,c_186816,c_186799,c_186798,c_186797,c_186795,c_186794,c_186793,c_186791,c_186790,c_186789,c_186787,c_186786,c_186785,c_186784,c_186783,c_186782,c_186780,c_186728,c_186727,c_186725,c_186724,c_186722,c_186721,c_186720,c_186716,c_186715,c_186714,c_186713,c_186712,c_186710,c_186673,c_186671,c_186669,c_186668,c_186666,c_186664,c_186649,c_186648,c_186577,c_186575,c_186574,c_186573,c_186572,c_186571,c_186570,c_186582,c_186581,c_186579,c_186357,c_186356,c_186355,c_186354,c_186353,c_186351,c_186350,c_186349,c_186342,c_186266,c_186265,c_186264,c_186263,c_186262,c_186260,c_186259,c_186258,c_186251,c_186203,c_186202,c_186199,c_186197,c_186195,c_186191,c_186190,c_186189,c_186187,c_186185,c_186156,c_186150,c_186141,c_186139,c_186138,c_186136,c_186134,c_185693,c_185685,c_185682,c_185672,c_185671,c_185670,c_185668,c_185667,c_185665,c_185664,c_185663,c_185662,c_185660,c_185627,c_185614,c_185612,c_185611,c_185609,c_185607,c_185588,c_185581,c_185579,c_185577,c_185576,c_185574,c_185572,c_185544,c_185545,c_185541,c_185536,c_185535,c_185533,c_185531,c_185529,c_185445,c_185437,c_185436,c_185434,c_185432,c_184488,c_184474,c_184472,c_184471,c_184468,c_184448,c_184447,c_184437,c_184434,c_184428,c_184425,c_184422,c_184419,c_184416,c_184413,c_184409,c_184406,c_184397,c_184368,c_184330,c_184325,c_184310,c_184308,c_184307,c_184306,c_184305,c_184303,c_184302,c_184301,c_184299,c_184294,c_184289,c_184288,c_184239,c_184238,c_184237,c_184236,c_184235,c_184234,c_184233,c_184218,c_184217,c_184216,c_184215,c_184214,c_184213,c_184212,c_184211,c_184210,c_184209,c_184208,c_184207,c_184206,c_184205,c_184204,c_184203,c_184202,c_184201,c_184200,c_184199,c_184198,c_184197,c_184196,c_184195,c_184194,c_184193,c_184192,c_184191,c_184190,c_184189,c_184188,c_184187,c_184186,c_184185,c_184184,c_184183,c_184182,c_184181,c_184180,c_184179,c_184178,c_184177,c_184176,c_184175,c_184174,c_184173,c_184172,c_184171,c_184170,c_184169,c_184168,c_184167,c_184166,c_184165,c_184164,c_184162,c_184160,c_184159,c_184158,c_184157,c_184156,c_184155,c_184154,c_184153,c_184152,c_184151,c_184150,c_184149,c_184148,c_184147,c_184146,c_184145,c_184144,c_184143,c_184142,c_184141,c_184140,c_184139,c_184137,c_184136,c_184135,c_184131,c_184130,c_184129,c_184128,c_184127,c_184126,c_184125,c_184124,c_184122,c_184121,c_184119,c_184118,c_184112,c_184111,c_184110,c_184109,c_184108,c_184107,c_184106,c_184105,c_184104,c_184103,c_184102,c_184101,c_184100,c_184099,c_184098,c_184097,c_184096,c_184095,c_184094,c_184093,c_184092,c_184090,c_184089,c_184088,c_184087,c_184086,c_184085,c_184084,c_184083,c_184082,c_184081,c_184079,c_184075,c_184074,c_184073,c_184072,c_184071,c_184070,c_184066,c_184065,c_184064,c_184063,c_184062,c_184061,c_184060,c_184059,c_184058,c_184057,c_184056,c_184055,c_184054,c_184053,c_184052,c_184051,c_184050,c_184049,c_184048,c_184047,c_184046,c_184045,c_184044,c_184043,c_184042,c_184041,c_184040,c_184039,c_184038,c_184037,c_184036,c_184035,c_184034,c_184033,c_184032,c_184031,c_184030,c_184029,c_184028,c_184027,c_184026,c_184025,c_184024,c_184023,c_184022,c_184021,c_184020,c_184019,c_184018,c_184017,c_184016,c_184015,c_184014,c_184013,c_184012,c_184010,c_184008,c_184007,c_184006,c_184005,c_184004,c_184003,c_184002,c_184001,c_184000,c_183999,c_183998,c_183997,c_183996,c_183995,c_183994,c_183993,c_183992,c_183991,c_183990,c_183989,c_183988,c_183987,c_183985,c_183984,c_183983,c_183979,c_183978,c_183977,c_183976,c_183975,c_183974,c_183973,c_183972,c_183970,c_183969,c_183967,c_183966,c_183239,c_183232,c_183231,c_183230,c_183228,c_183227,c_183226,c_183225,c_183224,c_183223,c_183222,c_183221,c_183220,c_183219,c_183218,c_183217,c_183216,c_183215,c_183213,c_183212,c_183211,c_183151,c_183139,c_183136,c_183129,c_183126,c_183123,c_183121,c_183119,c_183118,c_183117,c_183116,c_183115,c_183114,c_183112,c_183017,c_183018,c_183014,c_183013,c_183012,c_183011,c_183010,c_183009,c_183008,c_183006,c_183005,c_183004,c_183002,c_182882,c_182878,c_182875,c_182859,c_182844,c_182839,c_182838,c_182837,c_182835,c_182836,c_182833,c_182832,c_182830,c_182829,c_182828,c_182827,c_182826,c_182823,c_182821,c_182822,c_182819,c_182817,c_182816,c_182814,c_182831,c_182812,c_182811,c_182810,c_182773,c_182770,c_182757,c_182749,c_182738,c_182737,c_182736,c_182735,c_182734,c_182733,c_182732,c_182731,c_182730,c_182729,c_182727,c_182724,c_182723,c_182722,c_182720,c_182719,c_182718,c_182716,c_182715,c_182604,c_182595,c_182582,c_182579,c_182576,c_182573,c_182572,c_182567,c_182564,c_182563,c_182562,c_182561,c_182558,c_18255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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP338-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 14:33:24 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 53.97/10.41 % SZS status Started for theBenchmark.p
% 53.97/10.41 ERROR - "ProverProcess:heur/330959:296.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( multiply(X0,sk_c11) != inverse(X0) | X0 != sk_c11 | ~iPr_def_14 )")
% 53.97/10.41 Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( multiply(X0,sk_c11) != inverse(X0) | X0 != sk_c11 | ~iPr_def_14 )")
% 53.97/10.41 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_af_restrict_to_split_sk false --abstr_ref_prep false --abstr_ref_sig_restrict funpre --abstr_ref_under "[]" --abstr_ref_until_sat false --add_important_lit false --bc_imp_inh "[conj_cone]" --brand_transform false --clause_weak_htbl true --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --gc_record_bc_elim false --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_sos_phase true --inst_sos_sth_lit_sel "[+prop;+non_prol_conj_symb;-eq;+ground;-num_var]" --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --large_theory_mode true --lt_threshold 2000 --min_unsat_core false --non_eq_to_eq false --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sem_filter_out false --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessed_out false --preprocessed_stats false --preprocessing_flag true --prolific_symb_bound 256 --prop_impl_unit "[]" --prop_impl_unit_size 0 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_orphan_elimination true --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300. --res_to_prop_solver active --reset_solvers false --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --soft_assumptions false --soft_lemma_size 3 --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[BwDemod;BwUnitSubsAndRes]" --sup_full_fw "[FwDemodLightNormLoopTriv;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[BwUnitSubsAndRes]" --sup_immed_bw_main "[BwUnitSubsAndRes]" --sup_immed_fw_immed "[ACNormalisation;FwDemodLightNormLoopTriv;FwUnitSubsAndRes]" --sup_immed_fw_main "[FwUnitSubsAndRes]" --sup_immed_triv "[]" --sup_indices_passive "[LightNormIndex;UnitSubsumptionIndex]" --sup_input_bw "[BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]" --sup_input_fw "[ACNormalisation;FwDemodLightNormLoopTriv;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 98.67" --time_out_real 296.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_yo66quc_/ecwlkttz 2>> /export/starexec/sandbox2/tmp/iprover_out_yo66quc_/ecwlkttz_error
% 53.97/10.41 % SZS status Unsatisfiable for theBenchmark.p
% 53.97/10.41
% 53.97/10.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 53.97/10.41
% 53.97/10.41 % ------ iProver source info
% 53.97/10.41
% 53.97/10.41 % git: date: 2026-07-19 20:42:38 +0200
% 53.97/10.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 53.97/10.41 % git: non_committed_changes: false
% 53.97/10.41
% 53.97/10.41 % ------ Parsing...% successful
% 53.97/10.41
% 53.97/10.41
% 53.97/10.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 53.97/10.41
% 53.97/10.41 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 53.97/10.41
% 53.97/10.41 % ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e %
% 53.97/10.41
% 53.97/10.41 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 53.97/10.41 % ------ Proving...
% 53.97/10.41 % ------ Problem Properties
% 53.97/10.41
% 53.97/10.41 %
% 53.97/10.41 % clauses 74
% 53.97/10.41 % conjectures 56
% 53.97/10.41 % EPR 51
% 53.97/10.41 % Horn 23
% 53.97/10.41 % unary 18
% 53.97/10.41 % binary 50
% 53.97/10.41 % lits 141
% 53.97/10.41 % lits eq 131
% 53.97/10.41 % fd_pure 0
% 53.97/10.41 % fd_pseudo 0
% 53.97/10.41 % fd_cond 0
% 53.97/10.41 % fd_pseudo_cond 0
% 53.97/10.41 % AC symbols 0
% 53.97/10.41
% 53.97/10.41 % ------ Schedule dynamic 5 is on
% 53.97/10.41
% 53.97/10.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 53.97/10.41
% 53.97/10.41
% 53.97/10.41 % ------
% 53.97/10.41 % Current options:
% 53.97/10.41 % ------
% 53.97/10.41
% 53.97/10.41
% 53.97/10.41 %
% 53.97/10.41
% 53.97/10.41 % ------ Proving...
% 53.97/10.41 %
% 53.97/10.41
% 53.97/10.41 % SZS status Unsatisfiable for theBenchmark.p
% 53.97/10.41
% 53.97/10.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 68.02/10.60
% 68.02/10.60
%------------------------------------------------------------------------------