%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP228-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 01:31:52 PM UTC 2026
% Result : Unsatisfiable 59.08s 8.93s
% Output : CNFRefutation 59.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c10 = inverse(sk_c4)
| inverse(sk_c1) = sk_c10 ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| inverse(sk_c1) = sk_c10 ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c10 = multiply(sk_c5,sk_c8)
| inverse(sk_c1) = sk_c10 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c1) = sk_c10 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| inverse(sk_c1) = sk_c10 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f18,plain,
( sk_c8 = inverse(sk_c6)
| inverse(sk_c1) = sk_c10 ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| inverse(sk_c1) = sk_c10 ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f22,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c10 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( inverse(sk_c7) = sk_c6
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f40,plain,
( inverse(sk_c10) = sk_c9
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f42,plain,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c10
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c10 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( inverse(sk_c7) = sk_c6
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c6)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f58,plain,
( inverse(sk_c10) = sk_c9
| sk_c3 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f60,plain,
( sk_c10 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f62,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c10 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( inverse(sk_c7) = sk_c6
| sk_c3 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f76,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f78,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f80,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f82,plain,
( sk_c10 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c9) != sk_c10
| inverse(X4) != X5
| multiply(X4,X5) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| inverse(X3) != sk_c10
| inverse(sk_c10) != sk_c9
| inverse(X2) != sk_c10
| multiply(X2,sk_c10) != X1
| multiply(sk_c10,X1) != sk_c9
| multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| sk_c10 != multiply(X5,sk_c9)
| inverse(X4) != X5
| sk_c10 != multiply(X4,X5)
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X2)
| multiply(X2,sk_c10) != X1
| sk_c9 != multiply(sk_c10,X1)
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c10 ),
inference(reorient_equations,[],[f93]) ).
fof(f95,plain,
! [X2,X3,X0,X6,X7,X4,X5] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| sk_c10 != multiply(X5,sk_c9)
| inverse(X4) != X5
| sk_c10 != multiply(X4,X5)
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X2)
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c10 ),
inference(equality_resolution,[],[f94]) ).
fof(f96,plain,
! [X2,X3,X0,X6,X7,X4] :
( multiply(X6,inverse(X4)) != X7
| inverse(X4) != inverse(X7)
| inverse(X6) != X7
| sk_c10 != multiply(inverse(X4),sk_c9)
| sk_c10 != multiply(X4,inverse(X4))
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X2)
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c10 ),
inference(equality_resolution,[],[f95]) ).
fof(f97,plain,
! [X2,X3,X0,X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c10 != multiply(inverse(X4),sk_c9)
| sk_c10 != multiply(X4,inverse(X4))
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X2)
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c10 ),
inference(equality_resolution,[],[f96]) ).
tcf(c_98,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_99,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c10 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_113,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_115,negated_conjecture,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_116,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_118,negated_conjecture,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_120,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_121,negated_conjecture,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_122,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_124,negated_conjecture,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_126,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_127,negated_conjecture,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_128,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_129,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_130,negated_conjecture,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_131,negated_conjecture,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c10 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_132,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_133,negated_conjecture,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_134,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_135,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_136,negated_conjecture,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_137,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_138,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_139,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_140,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c10 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_141,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_142,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_143,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_144,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_145,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_146,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( inverse(sk_c10) != sk_c9 )
| ( inverse(X4) != sk_c10 )
| ( inverse(X3) != sk_c10 )
| ( inverse(X2) != sk_c10 )
| ( multiply(X3,sk_c9) != sk_c10 )
| ( multiply(X2,sk_c9) != sk_c10 )
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c9) != sk_c10 )
| ( multiply(X1,inverse(X1)) != sk_c10 )
| ( multiply(X0,inverse(X1)) != inverse(X0) )
| ( multiply(sk_c10,multiply(X4,sk_c10)) != sk_c9 ) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_563,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c9) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_146]) ).
tcf(c_564,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c9) != sk_c10 )
| ( multiply(X1,inverse(X1)) != sk_c10 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_146]) ).
tcf(c_565,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_146]) ).
tcf(c_566,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c10) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_146]) ).
tcf(c_567,definition,
iPr_def_13 = inverse(sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_568,definition,
iPr_def_14 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_569,definition,
iPr_def_15 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_570,definition,
iPr_def_16 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_571,definition,
iPr_def_17 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_572,definition,
iPr_def_18 = multiply(sk_c8,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_573,definition,
iPr_def_19 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_574,definition,
iPr_def_20 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_575,definition,
iPr_def_21 = multiply(sk_c4,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_576,definition,
iPr_def_22 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_577,definition,
iPr_def_23 = multiply(sk_c2,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_578,definition,
iPr_def_24 = multiply(sk_c10,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_579,definition,
iPr_def_25 = multiply(sk_c1,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_580,definition,
iPr_def_26 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_581,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_566,c_567]) ).
tcf(c_582,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_565]) ).
tcf(c_584,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c9) != sk_c10 )
| ( multiply(X1,inverse(X1)) != sk_c10 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(demodulation,[status(thm)],[c_564]) ).
tcf(c_585,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c9) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_563]) ).
tcf(c_586,negated_conjecture,
( ( iPr_def_15 = sk_c10 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_145,c_569,c_568]) ).
tcf(c_587,negated_conjecture,
( ( iPr_def_16 = sk_c8 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_144,c_570]) ).
tcf(c_588,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_143,c_571]) ).
tcf(c_589,negated_conjecture,
( ( iPr_def_18 = sk_c10 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_142,c_572]) ).
tcf(c_590,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_141,c_573]) ).
tcf(c_591,negated_conjecture,
( ( iPr_def_20 = sk_c10 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_140,c_574]) ).
tcf(c_592,negated_conjecture,
( ( iPr_def_21 = sk_c10 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_139,c_575]) ).
tcf(c_593,negated_conjecture,
( ( iPr_def_22 = sk_c10 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_138,c_576]) ).
tcf(c_594,negated_conjecture,
( ( iPr_def_15 = sk_c10 )
| ( iPr_def_13 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_137]) ).
tcf(c_595,negated_conjecture,
( ( iPr_def_23 = sk_c3 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_136,c_577]) ).
tcf(c_596,negated_conjecture,
( ( iPr_def_23 = sk_c3 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_135]) ).
tcf(c_597,negated_conjecture,
( ( iPr_def_23 = sk_c3 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_134]) ).
tcf(c_598,negated_conjecture,
( ( iPr_def_23 = sk_c3 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_599,negated_conjecture,
( ( iPr_def_23 = sk_c3 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_600,negated_conjecture,
( ( iPr_def_23 = sk_c3 )
| ( iPr_def_20 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_131]) ).
tcf(c_601,negated_conjecture,
( ( iPr_def_23 = sk_c3 )
| ( iPr_def_21 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_602,negated_conjecture,
( ( iPr_def_23 = sk_c3 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_603,negated_conjecture,
( ( iPr_def_23 = sk_c3 )
| ( iPr_def_13 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_604,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_127,c_578]) ).
tcf(c_605,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_126]) ).
tcf(c_606,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_125]) ).
tcf(c_607,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_124]) ).
tcf(c_608,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_609,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_20 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_610,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_21 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_611,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_612,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_13 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_613,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_118,c_579]) ).
tcf(c_614,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_615,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_616,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_617,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_618,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_20 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_619,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_21 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_620,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_621,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_13 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_622,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_109,c_580]) ).
tcf(c_623,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_624,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_625,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_626,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_627,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_20 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_628,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_21 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_629,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_630,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_13 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_631,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_633,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = inverse(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_635,plain,
( ( inverse(sk_c10) = inverse(sk_c10) )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_637,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_919,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_586,c_588]) ).
tcf(c_931,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_587,c_590]) ).
tcf(c_939,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_589,c_591]) ).
tcf(c_949,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_592,c_591]) ).
tcf(c_950,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_592,c_589]) ).
tcf(c_955,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_592,c_567]) ).
tcf(c_956,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_591,c_567]) ).
tcf(c_957,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_589,c_567]) ).
tcf(c_964,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_588,c_570]) ).
tcf(c_965,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_586,c_570]) ).
tcf(c_970,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_590,c_568]) ).
tcf(c_971,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_587,c_568]) ).
tcf(c_983,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_593,c_567]) ).
tcf(c_984,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_593,c_592]) ).
tcf(c_985,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_593,c_591]) ).
tcf(c_986,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_593,c_589]) ).
tcf(c_999,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_594,c_581]) ).
tcf(c_1009,plain,
( ( sk_c3 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_595,c_570]) ).
tcf(c_1010,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_595,c_588]) ).
tcf(c_1026,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_597,c_595]) ).
tcf(c_1027,plain,
( ( sk_c3 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_597,c_570]) ).
tcf(c_1045,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_590,c_572]) ).
tcf(c_1046,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_587,c_572]) ).
tcf(c_1047,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_594,c_572]) ).
tcf(c_1054,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_574]) ).
tcf(c_1055,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_574]) ).
tcf(c_1060,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_594,c_575]) ).
tcf(c_1063,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_593,c_577]) ).
tcf(c_1064,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_592,c_577]) ).
tcf(c_1065,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_591,c_577]) ).
tcf(c_1066,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_589,c_577]) ).
tcf(c_1075,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_593,c_578]) ).
tcf(c_1076,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_592,c_578]) ).
tcf(c_1077,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_591,c_578]) ).
tcf(c_1078,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_589,c_578]) ).
tcf(c_1079,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_600,c_578]) ).
tcf(c_1080,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_599,c_578]) ).
tcf(c_1081,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_598,c_578]) ).
tcf(c_1082,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_596,c_578]) ).
tcf(c_1099,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_594,c_579]) ).
tcf(c_1102,plain,
multiply(iPr_def_26,sk_c1) = identity,
inference(superposition,[status(thm)],[c_580,c_99]) ).
tcf(c_1103,plain,
multiply(iPr_def_13,sk_c10) = identity,
inference(superposition,[status(thm)],[c_567,c_99]) ).
tcf(c_1104,plain,
multiply(iPr_def_22,sk_c4) = identity,
inference(superposition,[status(thm)],[c_576,c_99]) ).
tcf(c_1105,plain,
multiply(iPr_def_19,sk_c5) = identity,
inference(superposition,[status(thm)],[c_573,c_99]) ).
tcf(c_1106,plain,
multiply(iPr_def_17,sk_c7) = identity,
inference(superposition,[status(thm)],[c_571,c_99]) ).
tcf(c_1107,plain,
multiply(iPr_def_16,sk_c6) = identity,
inference(superposition,[status(thm)],[c_570,c_99]) ).
tcf(c_1108,plain,
multiply(iPr_def_15,sk_c2) = identity,
inference(superposition,[status(thm)],[c_569,c_99]) ).
tcf(c_1109,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_593,c_1103]) ).
tcf(c_1110,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_592,c_1103]) ).
tcf(c_1111,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_591,c_1103]) ).
tcf(c_1112,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_589,c_1103]) ).
tcf(c_1125,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_601,c_578]) ).
tcf(c_1132,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_602,c_578]) ).
tcf(c_1139,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_603,c_578]) ).
tcf(c_1149,plain,
( ( sk_c9 = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_604,c_570]) ).
tcf(c_1150,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_604,c_588]) ).
tcf(c_1156,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c10 )
| ( sk_c10 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_1162,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_605,c_574]) ).
tcf(c_1163,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_605,c_572]) ).
tcf(c_1164,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_605,c_568]) ).
tcf(c_1165,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_605,c_590]) ).
tcf(c_1176,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_1179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_1188,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_606,c_604]) ).
tcf(c_1190,plain,
( ( sk_c9 = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_606,c_570]) ).
tcf(c_1201,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_607,c_579]) ).
tcf(c_1202,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_607,c_575]) ).
tcf(c_1203,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_607,c_572]) ).
tcf(c_1204,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_607,c_594]) ).
tcf(c_1205,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_18 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_607,c_581]) ).
tcf(c_1227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1179]) ).
tcf(c_1239,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_608,c_605]) ).
tcf(c_1240,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_608,c_574]) ).
tcf(c_1241,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_608,c_572]) ).
tcf(c_1242,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_608,c_568]) ).
tcf(c_1257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = inverse(X0) )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_1259,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_13 )
| ( iPr_def_13 != inverse(sk_c10) )
| ( inverse(X0) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_1227]) ).
tcf(c_1260,plain,
( ( inverse(sk_c10) = iPr_def_13 )
| ( iPr_def_13 != inverse(sk_c10) )
| ( inverse(sk_c10) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_1259]) ).
tcf(c_1261,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_15 )
| ( iPr_def_15 != inverse(sk_c2) )
| ( inverse(X0) != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_1227]) ).
tcf(c_1263,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c6) )
| ( inverse(X0) != inverse(sk_c6) ) ),
inference(instantiation,[status(thm)],[c_1227]) ).
tcf(c_1271,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_26 )
| ( iPr_def_26 != inverse(sk_c1) )
| ( inverse(X0) != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_1227]) ).
tcf(c_1279,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_609,c_579]) ).
tcf(c_1280,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_609,c_575]) ).
tcf(c_1281,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_609,c_572]) ).
tcf(c_1282,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_609,c_594]) ).
tcf(c_1283,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_20 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_609,c_581]) ).
tcf(c_1303,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_610,c_579]) ).
tcf(c_1304,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_610,c_575]) ).
tcf(c_1305,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_610,c_572]) ).
tcf(c_1306,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_610,c_594]) ).
tcf(c_1307,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_21 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_610,c_581]) ).
tcf(c_1327,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_611,c_579]) ).
tcf(c_1328,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_611,c_575]) ).
tcf(c_1329,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_611,c_572]) ).
tcf(c_1330,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_611,c_594]) ).
tcf(c_1331,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_22 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_611,c_581]) ).
tcf(c_1349,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c10 )
| ( sk_c10 != iPr_def_13 )
| ( inverse(X0) != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_1156]) ).
tcf(c_1350,plain,
( ( inverse(sk_c10) = sk_c10 )
| ( sk_c10 != iPr_def_13 )
| ( inverse(sk_c10) != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_1349]) ).
tcf(c_1357,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_612,c_579]) ).
tcf(c_1358,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_612,c_575]) ).
tcf(c_1359,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_612,c_572]) ).
tcf(c_1360,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_612,c_594]) ).
tcf(c_1361,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c9 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_612,c_581]) ).
tcf(c_1378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = inverse(X0) )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1257]) ).
tcf(c_1390,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_613,c_570]) ).
tcf(c_1391,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_613,c_588]) ).
tcf(c_1398,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(X0) )
| ( X1 != iPr_def_15 )
| ( inverse(X0) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1257]) ).
tcf(c_1401,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c10 )
| ( sk_c10 != iPr_def_15 )
| ( inverse(X0) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1156]) ).
tcf(c_1404,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_613,c_1107]) ).
tcf(c_1405,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_606,c_1107]) ).
tcf(c_1406,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_604,c_1107]) ).
tcf(c_1407,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_597,c_1107]) ).
tcf(c_1408,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_595,c_1107]) ).
tcf(c_1409,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_588,c_1107]) ).
tcf(c_1410,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_586,c_1107]) ).
tcf(c_1427,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = X1 )
| ( X1 != iPr_def_16 )
| ( inverse(X0) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_1179]) ).
tcf(c_1438,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_614,c_574]) ).
tcf(c_1439,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_614,c_572]) ).
tcf(c_1440,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_614,c_568]) ).
tcf(c_1441,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_614,c_590]) ).
tcf(c_1459,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_615,c_1107]) ).
tcf(c_1460,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_615,c_613]) ).
tcf(c_1463,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_615,c_570]) ).
tcf(c_1485,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_616,c_1103]) ).
tcf(c_1486,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_616,c_578]) ).
tcf(c_1487,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_616,c_577]) ).
tcf(c_1488,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_616,c_593]) ).
tcf(c_1489,plain,
( ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_616,c_567]) ).
tcf(c_1490,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_616,c_592]) ).
tcf(c_1491,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_616,c_591]) ).
tcf(c_1492,plain,
( ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_616,c_589]) ).
tcf(c_1513,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(X0) )
| ( X1 != iPr_def_19 )
| ( inverse(X0) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1257]) ).
tcf(c_1526,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_617,c_614]) ).
tcf(c_1528,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_617,c_574]) ).
tcf(c_1529,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_617,c_572]) ).
tcf(c_1530,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_617,c_568]) ).
tcf(c_1554,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_618,c_1103]) ).
tcf(c_1555,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_618,c_578]) ).
tcf(c_1556,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_618,c_577]) ).
tcf(c_1557,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_618,c_593]) ).
tcf(c_1558,plain,
( ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_618,c_567]) ).
tcf(c_1559,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_618,c_592]) ).
tcf(c_1560,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_618,c_591]) ).
tcf(c_1561,plain,
( ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_618,c_589]) ).
tcf(c_1582,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(X0) )
| ( X1 != iPr_def_26 )
| ( inverse(X0) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1257]) ).
tcf(c_1585,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c10 )
| ( sk_c10 != iPr_def_26 )
| ( inverse(X0) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1156]) ).
tcf(c_1596,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_619,c_1103]) ).
tcf(c_1597,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_619,c_578]) ).
tcf(c_1598,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_619,c_577]) ).
tcf(c_1599,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_619,c_593]) ).
tcf(c_1600,plain,
( ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_619,c_567]) ).
tcf(c_1601,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_619,c_592]) ).
tcf(c_1602,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_619,c_591]) ).
tcf(c_1603,plain,
( ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_619,c_589]) ).
tcf(c_1645,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_620,c_1103]) ).
tcf(c_1646,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_620,c_578]) ).
tcf(c_1647,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_620,c_577]) ).
tcf(c_1648,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_620,c_593]) ).
tcf(c_1649,plain,
( ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_620,c_567]) ).
tcf(c_1650,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_620,c_592]) ).
tcf(c_1651,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_620,c_591]) ).
tcf(c_1652,plain,
( ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_620,c_589]) ).
tcf(c_1689,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_13 )
| ( iPr_def_13 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_1700,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_621,c_612]) ).
tcf(c_1701,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_621,c_611]) ).
tcf(c_1702,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_621,c_610]) ).
tcf(c_1703,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_621,c_609]) ).
tcf(c_1704,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_621,c_607]) ).
tcf(c_1705,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_621,c_579]) ).
tcf(c_1706,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_621,c_575]) ).
tcf(c_1707,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_621,c_572]) ).
tcf(c_1708,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_621,c_581]) ).
tcf(c_1739,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_16 )
| ( iPr_def_16 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_1748,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_622,c_615]) ).
tcf(c_1749,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_622,c_1107]) ).
tcf(c_1752,plain,
( ( sk_c10 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_622,c_570]) ).
tcf(c_1753,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_622,c_588]) ).
tcf(c_1776,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_623,c_617]) ).
tcf(c_1778,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_623,c_574]) ).
tcf(c_1779,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_623,c_572]) ).
tcf(c_1780,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_623,c_568]) ).
tcf(c_1781,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_623,c_590]) ).
tcf(c_1798,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_19 )
| ( iPr_def_19 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_1808,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_624,c_622]) ).
tcf(c_1809,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_624,c_1107]) ).
tcf(c_1813,plain,
( ( sk_c10 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_624,c_570]) ).
tcf(c_1826,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_26 )
| ( iPr_def_26 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_1839,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_625,c_620]) ).
tcf(c_1840,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_625,c_619]) ).
tcf(c_1841,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_625,c_618]) ).
tcf(c_1842,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_625,c_616]) ).
tcf(c_1843,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_625,c_1103]) ).
tcf(c_1844,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_625,c_578]) ).
tcf(c_1845,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_625,c_577]) ).
tcf(c_1846,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_625,c_593]) ).
tcf(c_1847,plain,
( ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_625,c_567]) ).
tcf(c_1848,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_625,c_592]) ).
tcf(c_1849,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_625,c_591]) ).
tcf(c_1850,plain,
( ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_625,c_589]) ).
tcf(c_1901,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_626,c_623]) ).
tcf(c_1904,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_626,c_574]) ).
tcf(c_1905,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_626,c_572]) ).
tcf(c_1906,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_626,c_568]) ).
tcf(c_1921,plain,
( ( inverse(sk_c2) = iPr_def_15 )
| ( iPr_def_15 != inverse(sk_c2) )
| ( inverse(sk_c2) != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_1261]) ).
tcf(c_1922,plain,
inverse(sk_c2) = inverse(sk_c2),
inference(instantiation,[status(thm)],[c_1176]) ).
tcf(c_1953,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_627,c_620]) ).
tcf(c_1954,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_627,c_619]) ).
tcf(c_1955,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_627,c_618]) ).
tcf(c_1957,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_627,c_1103]) ).
tcf(c_1958,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_627,c_578]) ).
tcf(c_1959,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_627,c_577]) ).
tcf(c_1960,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_627,c_593]) ).
tcf(c_1961,plain,
( ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_627,c_567]) ).
tcf(c_1962,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_627,c_592]) ).
tcf(c_1963,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_627,c_591]) ).
tcf(c_1964,plain,
( ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_627,c_589]) ).
tcf(c_1998,plain,
( ( inverse(sk_c6) = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c6) )
| ( inverse(sk_c6) != inverse(sk_c6) ) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_1999,plain,
inverse(sk_c6) = inverse(sk_c6),
inference(instantiation,[status(thm)],[c_1176]) ).
tcf(c_2023,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_628,c_620]) ).
tcf(c_2024,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_628,c_619]) ).
tcf(c_2027,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_628,c_1103]) ).
tcf(c_2028,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_628,c_578]) ).
tcf(c_2029,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_628,c_577]) ).
tcf(c_2030,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_628,c_593]) ).
tcf(c_2031,plain,
( ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_628,c_567]) ).
tcf(c_2032,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_628,c_592]) ).
tcf(c_2033,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_628,c_591]) ).
tcf(c_2034,plain,
( ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_628,c_589]) ).
tcf(c_2098,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_629,c_620]) ).
tcf(c_2102,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_629,c_1103]) ).
tcf(c_2103,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_629,c_578]) ).
tcf(c_2104,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_629,c_577]) ).
tcf(c_2105,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_629,c_593]) ).
tcf(c_2106,plain,
( ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_629,c_567]) ).
tcf(c_2107,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_629,c_592]) ).
tcf(c_2108,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_629,c_591]) ).
tcf(c_2109,plain,
( ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_629,c_589]) ).
tcf(c_2153,plain,
( ( inverse(sk_c1) = iPr_def_26 )
| ( iPr_def_26 != inverse(sk_c1) )
| ( inverse(sk_c1) != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_1271]) ).
tcf(c_2154,plain,
inverse(sk_c1) = inverse(sk_c1),
inference(instantiation,[status(thm)],[c_1176]) ).
tcf(c_2194,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_630,c_612]) ).
tcf(c_2195,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_630,c_611]) ).
tcf(c_2196,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_630,c_610]) ).
tcf(c_2197,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_630,c_609]) ).
tcf(c_2198,plain,
( ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_630,c_607]) ).
tcf(c_2199,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_630,c_579]) ).
tcf(c_2200,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_630,c_575]) ).
tcf(c_2201,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_630,c_572]) ).
tcf(c_2202,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_630,c_581]) ).
tcf(c_2255,plain,
iPr_def_16 = iPr_def_16,
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_2264,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_21 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_575,c_585]) ).
tcf(c_2265,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(sk_c8) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_572,c_585]) ).
tcf(c_2266,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_25 )
| ( inverse(sk_c1) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_579,c_585]) ).
tcf(c_2267,plain,
( ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_98,c_585]) ).
tcf(c_2268,plain,
( ~ iPr_def_10
| ( sk_c10 != identity )
| ( inverse(inverse(sk_c9)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_99,c_585]) ).
tcf(c_2269,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_13) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_630,c_585]) ).
tcf(c_2270,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_13) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_621,c_585]) ).
tcf(c_2271,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_612,c_585]) ).
tcf(c_2272,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_611,c_585]) ).
tcf(c_2273,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_610,c_585]) ).
tcf(c_2274,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_609,c_585]) ).
tcf(c_2275,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_607,c_585]) ).
tcf(c_2276,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_13) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_594,c_585]) ).
tcf(c_2280,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_2266,c_580]) ).
tcf(c_2287,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_22 )
| ( sk_c10 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_2264,c_576]) ).
tcf(c_2342,plain,
! [X0: $i] :
( ( iPr_def_19 = inverse(X0) )
| ( iPr_def_19 != iPr_def_19 )
| ( inverse(X0) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1513]) ).
tcf(c_2343,plain,
iPr_def_19 = iPr_def_19,
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_2350,plain,
iPr_def_26 = iPr_def_26,
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_2360,plain,
! [X0: $i] :
( ( iPr_def_15 = inverse(X0) )
| ( iPr_def_15 != inverse(sk_c2) )
| ( inverse(X0) != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_1378]) ).
tcf(c_2393,plain,
( ~ iPr_def_12
| ( inverse(sk_c2) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_577,c_582]) ).
tcf(c_2394,plain,
( ~ iPr_def_12
| ( inverse(identity) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_98,c_582]) ).
tcf(c_2395,plain,
( ~ iPr_def_12
| ( multiply(sk_c10,identity) != sk_c9 )
| ( inverse(inverse(sk_c10)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_99,c_582]) ).
tcf(c_2396,plain,
( ~ iPr_def_12
| ( inverse(iPr_def_13) != sk_c10 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1103,c_582]) ).
tcf(c_2397,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_629,c_582]) ).
tcf(c_2398,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_628,c_582]) ).
tcf(c_2399,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_627,c_582]) ).
tcf(c_2400,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_625,c_582]) ).
tcf(c_2401,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_25,multiply(X0,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_620,c_582]) ).
tcf(c_2402,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_25,multiply(X0,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_619,c_582]) ).
tcf(c_2403,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_25,multiply(X0,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_618,c_582]) ).
tcf(c_2404,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_25,multiply(X0,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_616,c_582]) ).
tcf(c_2405,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_593,c_582]) ).
tcf(c_2406,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_592,c_582]) ).
tcf(c_2407,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_591,c_582]) ).
tcf(c_2408,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_18,multiply(X0,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_589,c_582]) ).
tcf(c_2415,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_2393,c_569]) ).
tcf(c_2530,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != inverse(identity) )
| ( inverse(inverse(identity)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_98,c_584]) ).
tcf(c_2531,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( inverse(inverse(inverse(X0))) != identity )
| ( multiply(X0,inverse(X0)) != sk_c10 )
| ( inverse(inverse(inverse(inverse(X0)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_99,c_584]) ).
tcf(c_2532,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c1) )
| ( multiply(sk_c1,inverse(sk_c1)) != sk_c10 )
| ( multiply(inverse(sk_c1),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_580,c_584]) ).
tcf(c_2533,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c10) )
| ( multiply(sk_c10,inverse(sk_c10)) != sk_c10 )
| ( multiply(inverse(sk_c10),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_567,c_584]) ).
tcf(c_2534,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c4) )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c10 )
| ( multiply(inverse(sk_c4),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_576,c_584]) ).
tcf(c_2535,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c5) )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c10 )
| ( multiply(inverse(sk_c5),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_573,c_584]) ).
tcf(c_2536,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c7) )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c10 )
| ( multiply(inverse(sk_c7),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_571,c_584]) ).
tcf(c_2537,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c6) )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c10 )
| ( multiply(inverse(sk_c6),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_570,c_584]) ).
tcf(c_2538,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c2) )
| ( multiply(sk_c2,inverse(sk_c2)) != sk_c10 )
| ( multiply(inverse(sk_c2),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_569,c_584]) ).
tcf(c_2544,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(iPr_def_15,sk_c9) != sk_c10 )
| ( multiply(sk_c2,iPr_def_15) != sk_c10 )
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_2538,c_569]) ).
tcf(c_2550,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(iPr_def_16,sk_c9) != sk_c10 )
| ( multiply(sk_c6,iPr_def_16) != sk_c10 )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2537,c_570]) ).
tcf(c_2556,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(iPr_def_17,sk_c9) != sk_c10 )
| ( multiply(sk_c7,iPr_def_17) != sk_c10 )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2536,c_571]) ).
tcf(c_2562,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(iPr_def_19,sk_c9) != sk_c10 )
| ( multiply(sk_c5,iPr_def_19) != sk_c10 )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2535,c_573]) ).
tcf(c_2568,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(iPr_def_22,sk_c9) != sk_c10 )
| ( multiply(sk_c4,iPr_def_22) != sk_c10 )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2534,c_576]) ).
tcf(c_2574,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(iPr_def_13,sk_c9) != sk_c10 )
| ( multiply(sk_c10,iPr_def_13) != sk_c10 )
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2533,c_567]) ).
tcf(c_2580,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(iPr_def_26,sk_c9) != sk_c10 )
| ( multiply(sk_c1,iPr_def_26) != sk_c10 )
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_2532,c_580]) ).
tcf(c_2604,plain,
! [X0: $i] :
( ( X0 = inverse(sk_c2) )
| ( X0 != iPr_def_15 )
| ( inverse(sk_c2) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1398]) ).
tcf(c_2607,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c2) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1401]) ).
tcf(c_2639,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_919,c_582]) ).
tcf(c_2640,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_919,c_629]) ).
tcf(c_2641,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_919,c_628]) ).
tcf(c_2642,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_919,c_627]) ).
tcf(c_2643,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_919,c_625]) ).
tcf(c_2644,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_919,c_620]) ).
tcf(c_2645,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_919,c_619]) ).
tcf(c_2646,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_919,c_618]) ).
tcf(c_2647,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_919,c_616]) ).
tcf(c_2648,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_919,c_1103]) ).
tcf(c_2649,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_919,c_578]) ).
tcf(c_2650,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_577]) ).
tcf(c_2652,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_919,c_567]) ).
tcf(c_2783,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_931,c_582]) ).
tcf(c_2784,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_931,c_629]) ).
tcf(c_2785,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_931,c_628]) ).
tcf(c_2786,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_931,c_627]) ).
tcf(c_2787,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_931,c_625]) ).
tcf(c_2788,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_931,c_620]) ).
tcf(c_2789,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_931,c_619]) ).
tcf(c_2790,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_931,c_618]) ).
tcf(c_2791,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_931,c_616]) ).
tcf(c_2792,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_931,c_1103]) ).
tcf(c_2793,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_578]) ).
tcf(c_2794,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_577]) ).
tcf(c_2795,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_931,c_593]) ).
tcf(c_2796,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_931,c_567]) ).
tcf(c_2797,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_931,c_592]) ).
tcf(c_2798,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_931,c_591]) ).
tcf(c_2799,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_931,c_589]) ).
tcf(c_2893,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = X0 )
| ( iPr_def_16 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_2921,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_575,c_100]) ).
tcf(c_2922,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_574,c_100]) ).
tcf(c_2923,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_572,c_100]) ).
tcf(c_2924,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_568,c_100]) ).
tcf(c_2925,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_579,c_100]) ).
tcf(c_2926,plain,
! [X0: $i] : multiply(sk_c10,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_578,c_100]) ).
tcf(c_2927,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_577,c_100]) ).
tcf(c_2928,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_98,c_100]) ).
tcf(c_2929,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_99,c_100]) ).
tcf(c_2931,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1102,c_100]) ).
tcf(c_2932,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1103,c_100]) ).
tcf(c_2933,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1104,c_100]) ).
tcf(c_2934,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1105,c_100]) ).
tcf(c_2935,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1106,c_100]) ).
tcf(c_2936,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1107,c_100]) ).
tcf(c_2937,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1108,c_100]) ).
tcf(c_2938,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( inverse(multiply(X0,X1)) != sk_c10 )
| ( multiply(X0,multiply(X1,sk_c9)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_100,c_585]) ).
tcf(c_2939,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_100,c_100]) ).
tcf(c_2940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_11
| ( multiply(inverse(X2),sk_c9) != sk_c10 )
| ( multiply(X2,inverse(X2)) != sk_c10 )
| ( inverse(inverse(multiply(X0,X1))) != inverse(X2) )
| ( multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_100,c_584]) ).
tcf(c_2941,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( inverse(multiply(X0,X1)) != sk_c10 )
| ( multiply(sk_c10,multiply(X0,multiply(X1,sk_c10))) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_100,c_582]) ).
tcf(c_2942,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2937,c_98]) ).
tcf(c_2943,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2936,c_98]) ).
tcf(c_2944,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2935,c_98]) ).
tcf(c_2945,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2934,c_98]) ).
tcf(c_2946,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2933,c_98]) ).
tcf(c_2947,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2932,c_98]) ).
tcf(c_2948,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2931,c_98]) ).
tcf(c_2980,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_19 = X0 )
| ( iPr_def_19 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_2984,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = X0 )
| ( iPr_def_26 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_3024,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_939,c_582]) ).
tcf(c_3025,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_939,c_629]) ).
tcf(c_3026,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_939,c_628]) ).
tcf(c_3027,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_939,c_627]) ).
tcf(c_3028,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_939,c_625]) ).
tcf(c_3029,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_939,c_620]) ).
tcf(c_3030,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_939,c_619]) ).
tcf(c_3031,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_939,c_618]) ).
tcf(c_3032,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_939,c_616]) ).
tcf(c_3033,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_939,c_1103]) ).
tcf(c_3034,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_578]) ).
tcf(c_3035,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_577]) ).
tcf(c_3036,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_939,c_593]) ).
tcf(c_3037,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_939,c_567]) ).
tcf(c_3038,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_939,c_592]) ).
tcf(c_3039,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_939,c_591]) ).
tcf(c_3040,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_939,c_589]) ).
tcf(c_3166,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_949,c_582]) ).
tcf(c_3167,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_949,c_629]) ).
tcf(c_3168,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_949,c_628]) ).
tcf(c_3169,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_949,c_627]) ).
tcf(c_3170,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_949,c_625]) ).
tcf(c_3171,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_949,c_620]) ).
tcf(c_3172,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_949,c_619]) ).
tcf(c_3173,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_949,c_618]) ).
tcf(c_3174,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_949,c_616]) ).
tcf(c_3175,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_949,c_1103]) ).
tcf(c_3176,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_578]) ).
tcf(c_3177,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_577]) ).
tcf(c_3178,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_949,c_593]) ).
tcf(c_3179,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_949,c_567]) ).
tcf(c_3180,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_949,c_592]) ).
tcf(c_3181,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_949,c_591]) ).
tcf(c_3182,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_949,c_589]) ).
tcf(c_3239,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ( iPr_def_13 != inverse(sk_c10) )
| ( X0 != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_1689]) ).
tcf(c_3240,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ( iPr_def_13 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1689]) ).
tcf(c_3275,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_950,c_582]) ).
tcf(c_3276,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_950,c_629]) ).
tcf(c_3277,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_950,c_628]) ).
tcf(c_3278,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_950,c_627]) ).
tcf(c_3279,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_950,c_625]) ).
tcf(c_3280,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_950,c_620]) ).
tcf(c_3281,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_950,c_619]) ).
tcf(c_3282,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_950,c_618]) ).
tcf(c_3283,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_950,c_616]) ).
tcf(c_3284,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_950,c_1103]) ).
tcf(c_3285,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_578]) ).
tcf(c_3286,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_577]) ).
tcf(c_3287,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_950,c_593]) ).
tcf(c_3288,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_950,c_567]) ).
tcf(c_3289,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_950,c_592]) ).
tcf(c_3290,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_950,c_591]) ).
tcf(c_3291,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_950,c_589]) ).
tcf(c_3380,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_984,c_582]) ).
tcf(c_3381,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_984,c_629]) ).
tcf(c_3382,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_984,c_628]) ).
tcf(c_3383,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_984,c_627]) ).
tcf(c_3384,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_984,c_625]) ).
tcf(c_3385,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_984,c_620]) ).
tcf(c_3386,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_984,c_619]) ).
tcf(c_3387,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_984,c_618]) ).
tcf(c_3388,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_984,c_616]) ).
tcf(c_3389,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_984,c_1103]) ).
tcf(c_3390,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_578]) ).
tcf(c_3391,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_984,c_577]) ).
tcf(c_3392,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_984,c_593]) ).
tcf(c_3393,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_984,c_567]) ).
tcf(c_3394,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_984,c_592]) ).
tcf(c_3395,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_984,c_591]) ).
tcf(c_3396,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_984,c_589]) ).
tcf(c_3449,plain,
! [X0: $i] :
( ( X0 = iPr_def_19 )
| ( iPr_def_19 != sk_c8 )
| ( X0 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_1798]) ).
tcf(c_3452,plain,
! [X0: $i] :
( ( X0 = iPr_def_26 )
| ( iPr_def_26 != inverse(sk_c1) )
| ( X0 != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_1826]) ).
tcf(c_3465,plain,
multiply(iPr_def_15,sk_c2) = identity,
inference(superposition,[status(thm)],[c_569,c_99]) ).
tcf(c_3499,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_985,c_582]) ).
tcf(c_3500,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_985,c_629]) ).
tcf(c_3501,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_985,c_628]) ).
tcf(c_3502,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_985,c_627]) ).
tcf(c_3503,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_985,c_625]) ).
tcf(c_3504,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_985,c_620]) ).
tcf(c_3505,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_985,c_619]) ).
tcf(c_3506,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_985,c_618]) ).
tcf(c_3507,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_985,c_616]) ).
tcf(c_3508,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_985,c_1103]) ).
tcf(c_3509,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_578]) ).
tcf(c_3510,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_985,c_577]) ).
tcf(c_3511,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_985,c_593]) ).
tcf(c_3512,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_985,c_567]) ).
tcf(c_3513,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_985,c_592]) ).
tcf(c_3514,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_985,c_591]) ).
tcf(c_3515,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_985,c_589]) ).
tcf(c_3611,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_986,c_582]) ).
tcf(c_3612,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_986,c_629]) ).
tcf(c_3613,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_986,c_628]) ).
tcf(c_3614,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_986,c_627]) ).
tcf(c_3615,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_986,c_625]) ).
tcf(c_3616,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_986,c_620]) ).
tcf(c_3617,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_986,c_619]) ).
tcf(c_3618,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_986,c_618]) ).
tcf(c_3619,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_986,c_616]) ).
tcf(c_3620,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_986,c_1103]) ).
tcf(c_3621,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_578]) ).
tcf(c_3622,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_986,c_577]) ).
tcf(c_3623,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_986,c_593]) ).
tcf(c_3624,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_986,c_567]) ).
tcf(c_3625,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_986,c_592]) ).
tcf(c_3626,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_986,c_591]) ).
tcf(c_3627,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_986,c_589]) ).
tcf(c_3720,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1026,c_578]) ).
tcf(c_3730,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1188,c_585]) ).
tcf(c_3731,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1188,c_630]) ).
tcf(c_3732,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1188,c_621]) ).
tcf(c_3733,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1188,c_579]) ).
tcf(c_3734,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1188,c_575]) ).
tcf(c_3735,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1188,c_572]) ).
tcf(c_3736,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1188,c_594]) ).
tcf(c_3737,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1188,c_581]) ).
tcf(c_3813,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1239,c_585]) ).
tcf(c_3814,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1239,c_630]) ).
tcf(c_3815,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1239,c_621]) ).
tcf(c_3816,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1239,c_579]) ).
tcf(c_3817,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1239,c_575]) ).
tcf(c_3818,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1239,c_572]) ).
tcf(c_3819,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1239,c_594]) ).
tcf(c_3820,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1239,c_581]) ).
tcf(c_3902,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1460,c_919]) ).
tcf(c_3903,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_25,multiply(X0,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1460,c_582]) ).
tcf(c_3904,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1460,c_629]) ).
tcf(c_3905,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1460,c_628]) ).
tcf(c_3906,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1460,c_627]) ).
tcf(c_3907,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1460,c_625]) ).
tcf(c_3908,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_1460,c_1103]) ).
tcf(c_3909,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1460,c_578]) ).
tcf(c_3910,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1460,c_577]) ).
tcf(c_3912,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1460,c_567]) ).
tcf(c_3980,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1526,c_931]) ).
tcf(c_3982,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_25,multiply(X0,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1526,c_582]) ).
tcf(c_3983,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1526,c_629]) ).
tcf(c_3984,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1526,c_628]) ).
tcf(c_3985,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1526,c_627]) ).
tcf(c_3986,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1526,c_625]) ).
tcf(c_3987,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_1526,c_1103]) ).
tcf(c_3988,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1526,c_578]) ).
tcf(c_3989,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1526,c_577]) ).
tcf(c_3991,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1526,c_567]) ).
tcf(c_4081,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1808,c_1526]) ).
tcf(c_4082,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1808,c_1460]) ).
tcf(c_4090,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1808,c_919]) ).
tcf(c_4091,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1808,c_582]) ).
tcf(c_4096,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_1808,c_1103]) ).
tcf(c_4097,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1808,c_578]) ).
tcf(c_4098,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1808,c_577]) ).
tcf(c_4100,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1808,c_567]) ).
tcf(c_4196,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1842,c_1808]) ).
tcf(c_4197,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1842,c_1526]) ).
tcf(c_4198,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1842,c_1460]) ).
tcf(c_4199,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_986]) ).
tcf(c_4200,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_985]) ).
tcf(c_4201,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_984]) ).
tcf(c_4202,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_950]) ).
tcf(c_4203,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_949]) ).
tcf(c_4204,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_939]) ).
tcf(c_4205,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_931]) ).
tcf(c_4206,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1842,c_919]) ).
tcf(c_4207,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_18,multiply(X0,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1842,c_582]) ).
tcf(c_4208,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1842,c_629]) ).
tcf(c_4209,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1842,c_628]) ).
tcf(c_4210,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1842,c_627]) ).
tcf(c_4211,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_625]) ).
tcf(c_4212,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1842,c_620]) ).
tcf(c_4213,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1842,c_619]) ).
tcf(c_4214,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1842,c_618]) ).
tcf(c_4215,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_616]) ).
tcf(c_4216,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_1842,c_1103]) ).
tcf(c_4217,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1842,c_578]) ).
tcf(c_4218,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1842,c_577]) ).
tcf(c_4220,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( inverse(iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1842,c_567]) ).
tcf(c_4331,plain,
( ( inverse(sk_c1) = sk_c10 )
| ( sk_c10 != iPr_def_26 )
| ( inverse(sk_c1) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1585]) ).
tcf(c_4341,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = iPr_def_26 )
| ( iPr_def_26 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_1826]) ).
tcf(c_4342,plain,
( ( inverse(sk_c10) = iPr_def_26 )
| ( iPr_def_26 != sk_c10 )
| ( inverse(sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_4341]) ).
tcf(c_4406,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1901,c_1842]) ).
tcf(c_4407,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1901,c_1526]) ).
tcf(c_4415,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1901,c_931]) ).
tcf(c_4417,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1901,c_582]) ).
tcf(c_4422,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_1901,c_1103]) ).
tcf(c_4423,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1901,c_578]) ).
tcf(c_4424,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1901,c_577]) ).
tcf(c_4426,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1901,c_567]) ).
tcf(c_4506,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1955,c_1901]) ).
tcf(c_4507,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1955,c_1842]) ).
tcf(c_4508,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1955,c_1808]) ).
tcf(c_4509,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1955,c_1526]) ).
tcf(c_4510,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1955,c_1460]) ).
tcf(c_4511,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1955,c_986]) ).
tcf(c_4512,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1955,c_985]) ).
tcf(c_4513,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1955,c_984]) ).
tcf(c_4514,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1955,c_950]) ).
tcf(c_4515,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1955,c_949]) ).
tcf(c_4518,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1955,c_919]) ).
tcf(c_4519,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1955,c_582]) ).
tcf(c_4520,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1955,c_629]) ).
tcf(c_4521,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1955,c_628]) ).
tcf(c_4522,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1955,c_627]) ).
tcf(c_4523,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1955,c_625]) ).
tcf(c_4524,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1955,c_620]) ).
tcf(c_4525,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1955,c_619]) ).
tcf(c_4526,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1955,c_618]) ).
tcf(c_4527,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1955,c_616]) ).
tcf(c_4528,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_1955,c_1103]) ).
tcf(c_4529,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1955,c_578]) ).
tcf(c_4530,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1955,c_577]) ).
tcf(c_4532,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1955,c_567]) ).
tcf(c_4714,plain,
( ( sk_c9 = iPr_def_13 )
| ( iPr_def_13 != sk_c9 )
| ( sk_c9 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_3240]) ).
tcf(c_4715,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_4755,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_21) )
| ( multiply(iPr_def_21,inverse(iPr_def_21)) != sk_c10 )
| ( multiply(inverse(iPr_def_21),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_955,c_584]) ).
tcf(c_4792,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2024,c_1955]) ).
tcf(c_4793,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2024,c_1901]) ).
tcf(c_4794,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2024,c_1842]) ).
tcf(c_4795,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2024,c_1808]) ).
tcf(c_4796,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2024,c_1526]) ).
tcf(c_4797,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2024,c_1460]) ).
tcf(c_4798,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2024,c_986]) ).
tcf(c_4799,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2024,c_985]) ).
tcf(c_4800,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2024,c_984]) ).
tcf(c_4805,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2024,c_919]) ).
tcf(c_4806,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2024,c_582]) ).
tcf(c_4807,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2024,c_629]) ).
tcf(c_4808,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2024,c_628]) ).
tcf(c_4809,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2024,c_627]) ).
tcf(c_4810,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2024,c_625]) ).
tcf(c_4811,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2024,c_620]) ).
tcf(c_4812,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2024,c_619]) ).
tcf(c_4813,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2024,c_618]) ).
tcf(c_4814,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2024,c_616]) ).
tcf(c_4815,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_2024,c_1103]) ).
tcf(c_4816,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2024,c_578]) ).
tcf(c_4817,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2024,c_577]) ).
tcf(c_4819,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2024,c_567]) ).
tcf(c_4893,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_19 != sk_c8 )
| ( iPr_def_16 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_3449]) ).
tcf(c_4909,plain,
! [X0: $i] :
( ( inverse(sk_c1) = X0 )
| ( X0 != sk_c10 )
| ( inverse(sk_c1) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1179]) ).
tcf(c_4975,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2098,c_2024]) ).
tcf(c_4976,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2098,c_1955]) ).
tcf(c_4977,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2098,c_1901]) ).
tcf(c_4978,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2098,c_1842]) ).
tcf(c_4979,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2098,c_1808]) ).
tcf(c_4980,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2098,c_1526]) ).
tcf(c_4981,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2098,c_1460]) ).
tcf(c_4989,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2098,c_919]) ).
tcf(c_4990,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2098,c_582]) ).
tcf(c_4991,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2098,c_629]) ).
tcf(c_4992,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2098,c_628]) ).
tcf(c_4993,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2098,c_627]) ).
tcf(c_4994,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2098,c_625]) ).
tcf(c_4995,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2098,c_620]) ).
tcf(c_4996,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2098,c_619]) ).
tcf(c_4997,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2098,c_618]) ).
tcf(c_4998,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2098,c_616]) ).
tcf(c_4999,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_2098,c_1103]) ).
tcf(c_5000,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2098,c_578]) ).
tcf(c_5001,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2098,c_577]) ).
tcf(c_5002,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2098,c_567]) ).
tcf(c_5120,plain,
multiply(iPr_def_15,iPr_def_23) = sk_c10,
inference(superposition,[status(thm)],[c_577,c_2942]) ).
tcf(c_5121,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_15,multiply(multiply(sk_c2,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2942,c_100]) ).
tcf(c_5123,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_5120,c_100]) ).
tcf(c_5125,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_624,c_2943]) ).
tcf(c_5126,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_622,c_2943]) ).
tcf(c_5127,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_615,c_2943]) ).
tcf(c_5128,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_613,c_2943]) ).
tcf(c_5129,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_606,c_2943]) ).
tcf(c_5130,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_604,c_2943]) ).
tcf(c_5131,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_597,c_2943]) ).
tcf(c_5132,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_595,c_2943]) ).
tcf(c_5133,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_588,c_2943]) ).
tcf(c_5134,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_586,c_2943]) ).
tcf(c_5135,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(multiply(sk_c6,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2943,c_100]) ).
tcf(c_5198,plain,
multiply(iPr_def_17,iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_568,c_2944]) ).
tcf(c_5199,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(sk_c7,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2944,c_100]) ).
tcf(c_5201,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_5198,c_100]) ).
tcf(c_5211,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_574,c_2945]) ).
tcf(c_5212,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(multiply(sk_c5,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2945,c_100]) ).
tcf(c_5219,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c10 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_956,c_584]) ).
tcf(c_5253,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c10 )
| ( multiply(inverse(iPr_def_18),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_957,c_584]) ).
tcf(c_5266,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c10 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_964,c_584]) ).
tcf(c_5279,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c10 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_965,c_584]) ).
tcf(c_5293,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c10 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_983,c_584]) ).
tcf(c_5316,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c10 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1009,c_584]) ).
tcf(c_5329,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c10 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1027,c_584]) ).
tcf(c_5342,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c10 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1149,c_584]) ).
tcf(c_5354,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_970,c_100]) ).
tcf(c_5355,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_970,c_2944]) ).
tcf(c_5356,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5355,c_5198]) ).
tcf(c_5362,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_5211,c_100]) ).
tcf(c_5364,plain,
multiply(iPr_def_22,iPr_def_21) = sk_c9,
inference(superposition,[status(thm)],[c_575,c_2946]) ).
tcf(c_5365,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_22,multiply(multiply(sk_c4,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2946,c_100]) ).
tcf(c_5372,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_21,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_5364,c_100]) ).
tcf(c_5374,plain,
multiply(iPr_def_13,iPr_def_24) = sk_c3,
inference(superposition,[status(thm)],[c_578,c_2947]) ).
tcf(c_5375,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2098,c_2947]) ).
tcf(c_5376,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2024,c_2947]) ).
tcf(c_5377,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1955,c_2947]) ).
tcf(c_5378,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1901,c_2947]) ).
tcf(c_5379,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1842,c_2947]) ).
tcf(c_5380,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1808,c_2947]) ).
tcf(c_5381,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1526,c_2947]) ).
tcf(c_5382,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1460,c_2947]) ).
tcf(c_5383,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_986,c_2947]) ).
tcf(c_5384,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_985,c_2947]) ).
tcf(c_5385,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_984,c_2947]) ).
tcf(c_5386,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_950,c_2947]) ).
tcf(c_5387,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_949,c_2947]) ).
tcf(c_5388,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_939,c_2947]) ).
tcf(c_5389,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_931,c_2947]) ).
tcf(c_5390,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_919,c_2947]) ).
tcf(c_5391,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_629,c_2947]) ).
tcf(c_5392,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_628,c_2947]) ).
tcf(c_5393,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_627,c_2947]) ).
tcf(c_5394,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_625,c_2947]) ).
tcf(c_5395,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_620,c_2947]) ).
tcf(c_5396,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_619,c_2947]) ).
tcf(c_5397,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_618,c_2947]) ).
tcf(c_5398,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_616,c_2947]) ).
tcf(c_5399,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_593,c_2947]) ).
tcf(c_5400,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_592,c_2947]) ).
tcf(c_5401,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_591,c_2947]) ).
tcf(c_5402,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_589,c_2947]) ).
tcf(c_5403,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_13,multiply(multiply(sk_c10,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2947,c_100]) ).
tcf(c_5564,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(iPr_def_24,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_5374,c_100]) ).
tcf(c_5612,plain,
multiply(iPr_def_26,iPr_def_25) = sk_c9,
inference(superposition,[status(thm)],[c_579,c_2948]) ).
tcf(c_5613,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_26,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2948,c_100]) ).
tcf(c_5615,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_5612,c_100]) ).
tcf(c_5621,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3902,c_5612]) ).
tcf(c_5629,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c10 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1190,c_584]) ).
tcf(c_5642,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c10 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1390,c_584]) ).
tcf(c_5655,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c10 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1463,c_584]) ).
tcf(c_5667,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3902,c_1489]) ).
tcf(c_5669,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1489,c_584]) ).
tcf(c_5684,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3902,c_1558]) ).
tcf(c_5686,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1558,c_584]) ).
tcf(c_5737,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3902,c_1600]) ).
tcf(c_5739,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1600,c_584]) ).
tcf(c_5754,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3902,c_1649]) ).
tcf(c_5756,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1649,c_584]) ).
tcf(c_5855,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c10 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1752,c_584]) ).
tcf(c_5867,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_971,c_100]) ).
tcf(c_5868,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_971,c_2944]) ).
tcf(c_5869,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5868,c_5198]) ).
tcf(c_5880,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c10 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1813,c_584]) ).
tcf(c_5893,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c10 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1847,c_584]) ).
tcf(c_5906,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c10 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1961,c_584]) ).
tcf(c_5919,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c10 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2031,c_584]) ).
tcf(c_5931,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3980,c_1649]) ).
tcf(c_5932,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3980,c_1600]) ).
tcf(c_5933,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3980,c_1558]) ).
tcf(c_5934,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3980,c_1489]) ).
tcf(c_5935,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3980,c_5612]) ).
tcf(c_5957,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4082,c_5612]) ).
tcf(c_5958,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4082,c_2948]) ).
tcf(c_5959,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4082,c_1102]) ).
tcf(c_5976,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4090,c_5612]) ).
tcf(c_5977,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4090,c_2948]) ).
tcf(c_5978,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4090,c_1102]) ).
tcf(c_5995,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4407,c_5612]) ).
tcf(c_5996,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4407,c_2948]) ).
tcf(c_5997,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4407,c_1102]) ).
tcf(c_6013,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c10 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2106,c_584]) ).
tcf(c_6029,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_612,c_1045]) ).
tcf(c_6030,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_611,c_1045]) ).
tcf(c_6031,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_610,c_1045]) ).
tcf(c_6032,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_609,c_1045]) ).
tcf(c_6033,plain,
( ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_607,c_1045]) ).
tcf(c_6034,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_594,c_1045]) ).
tcf(c_6035,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_19) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1045,c_585]) ).
tcf(c_6036,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1045,c_100]) ).
tcf(c_6069,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_612,c_1046]) ).
tcf(c_6070,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_611,c_1046]) ).
tcf(c_6071,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_610,c_1046]) ).
tcf(c_6072,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_609,c_1046]) ).
tcf(c_6073,plain,
( ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_607,c_1046]) ).
tcf(c_6074,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_594,c_1046]) ).
tcf(c_6075,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_16) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1046,c_585]) ).
tcf(c_6076,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1046,c_100]) ).
tcf(c_6113,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1047,c_100]) ).
tcf(c_6121,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1054,c_100]) ).
tcf(c_6122,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1054,c_2945]) ).
tcf(c_6131,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1055,c_100]) ).
tcf(c_6132,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1055,c_2945]) ).
tcf(c_6141,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1060,c_100]) ).
tcf(c_6142,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1060,c_2946]) ).
tcf(c_6143,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_6142,c_5364]) ).
tcf(c_6153,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1063,c_100]) ).
tcf(c_6154,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1063,c_2942]) ).
tcf(c_6155,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_6154,c_5120]) ).
tcf(c_6168,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c10 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2652,c_584]) ).
tcf(c_6181,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c10 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2796,c_584]) ).
tcf(c_6194,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c10 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3037,c_584]) ).
tcf(c_6207,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c10 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3179,c_584]) ).
tcf(c_6227,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4415,c_5612]) ).
tcf(c_6228,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4415,c_2948]) ).
tcf(c_6229,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4415,c_1102]) ).
tcf(c_6249,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4507,c_5612]) ).
tcf(c_6250,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4507,c_2948]) ).
tcf(c_6251,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4507,c_1102]) ).
tcf(c_6271,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4792,c_5612]) ).
tcf(c_6272,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4792,c_2948]) ).
tcf(c_6273,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4792,c_1102]) ).
tcf(c_6293,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4794,c_5612]) ).
tcf(c_6294,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4794,c_2948]) ).
tcf(c_6295,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4794,c_1102]) ).
tcf(c_6307,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1064,c_100]) ).
tcf(c_6308,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1064,c_2942]) ).
tcf(c_6309,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_6308,c_5120]) ).
tcf(c_6319,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1065,c_100]) ).
tcf(c_6320,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1065,c_2942]) ).
tcf(c_6321,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_6320,c_5120]) ).
tcf(c_6331,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1066,c_100]) ).
tcf(c_6332,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1066,c_2942]) ).
tcf(c_6333,plain,
( ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_6332,c_5120]) ).
tcf(c_6351,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1075,c_100]) ).
tcf(c_6367,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1076,c_100]) ).
tcf(c_6383,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1077,c_100]) ).
tcf(c_6399,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1078,c_100]) ).
tcf(c_6415,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_1079]) ).
tcf(c_6416,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_1079]) ).
tcf(c_6417,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_1079]) ).
tcf(c_6418,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_1079]) ).
tcf(c_6419,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_1079]) ).
tcf(c_6420,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_1079]) ).
tcf(c_6421,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_1079]) ).
tcf(c_6422,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_919,c_1079]) ).
tcf(c_6425,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_627,c_1079]) ).
tcf(c_6426,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_625,c_1079]) ).
tcf(c_6429,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_618,c_1079]) ).
tcf(c_6430,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_616,c_1079]) ).
tcf(c_6435,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1079,c_100]) ).
tcf(c_6436,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1079,c_2947]) ).
tcf(c_6437,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6436,c_5374]) ).
tcf(c_6452,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6422,c_5120]) ).
tcf(c_6456,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6421,c_5120]) ).
tcf(c_6460,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6420,c_5120]) ).
tcf(c_6464,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6419,c_5120]) ).
tcf(c_6468,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6418,c_5120]) ).
tcf(c_6472,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6417,c_5120]) ).
tcf(c_6476,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6416,c_5120]) ).
tcf(c_6480,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6415,c_5120]) ).
tcf(c_6489,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2098,c_1080]) ).
tcf(c_6490,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2024,c_1080]) ).
tcf(c_6491,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1955,c_1080]) ).
tcf(c_6492,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1901,c_1080]) ).
tcf(c_6493,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1842,c_1080]) ).
tcf(c_6494,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1808,c_1080]) ).
tcf(c_6495,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1526,c_1080]) ).
tcf(c_6496,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1460,c_1080]) ).
tcf(c_6497,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_1080]) ).
tcf(c_6498,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_1080]) ).
tcf(c_6499,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_1080]) ).
tcf(c_6500,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_1080]) ).
tcf(c_6501,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_1080]) ).
tcf(c_6502,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_1080]) ).
tcf(c_6503,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_1080]) ).
tcf(c_6504,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_919,c_1080]) ).
tcf(c_6505,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_629,c_1080]) ).
tcf(c_6506,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_628,c_1080]) ).
tcf(c_6508,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_625,c_1080]) ).
tcf(c_6509,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_620,c_1080]) ).
tcf(c_6510,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_619,c_1080]) ).
tcf(c_6512,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_616,c_1080]) ).
tcf(c_6517,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1080,c_100]) ).
tcf(c_6518,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1080,c_2947]) ).
tcf(c_6519,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6518,c_5374]) ).
tcf(c_6542,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6504,c_5120]) ).
tcf(c_6546,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6503,c_5120]) ).
tcf(c_6550,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6502,c_5120]) ).
tcf(c_6554,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6501,c_5120]) ).
tcf(c_6558,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6500,c_5120]) ).
tcf(c_6562,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6499,c_5120]) ).
tcf(c_6566,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6498,c_5120]) ).
tcf(c_6570,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6497,c_5120]) ).
tcf(c_6661,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c10 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3288,c_584]) ).
tcf(c_6674,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c10 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3393,c_584]) ).
tcf(c_6687,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c10 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3512,c_584]) ).
tcf(c_6700,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c10 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3624,c_584]) ).
tcf(c_6720,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4975,c_5612]) ).
tcf(c_6721,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4975,c_2948]) ).
tcf(c_6722,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4975,c_1102]) ).
tcf(c_6742,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4976,c_5612]) ).
tcf(c_6743,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4976,c_2948]) ).
tcf(c_6744,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4976,c_1102]) ).
tcf(c_6800,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4978,c_5612]) ).
tcf(c_6801,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4978,c_2948]) ).
tcf(c_6802,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4978,c_1102]) ).
tcf(c_6838,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_1081]) ).
tcf(c_6839,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_1081]) ).
tcf(c_6840,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_1081]) ).
tcf(c_6841,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_1081]) ).
tcf(c_6842,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_1081]) ).
tcf(c_6843,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_1081]) ).
tcf(c_6844,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_1081]) ).
tcf(c_6845,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_919,c_1081]) ).
tcf(c_6849,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_625,c_1081]) ).
tcf(c_6853,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_616,c_1081]) ).
tcf(c_6858,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1081,c_100]) ).
tcf(c_6859,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1081,c_2947]) ).
tcf(c_6860,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6859,c_5374]) ).
tcf(c_6869,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6845,c_5120]) ).
tcf(c_6873,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6844,c_5120]) ).
tcf(c_6877,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6843,c_5120]) ).
tcf(c_6881,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6842,c_5120]) ).
tcf(c_6885,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6841,c_5120]) ).
tcf(c_6889,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6840,c_5120]) ).
tcf(c_6893,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6839,c_5120]) ).
tcf(c_6897,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6838,c_5120]) ).
tcf(c_6906,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2098,c_1082]) ).
tcf(c_6907,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2024,c_1082]) ).
tcf(c_6908,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1955,c_1082]) ).
tcf(c_6909,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1901,c_1082]) ).
tcf(c_6910,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1842,c_1082]) ).
tcf(c_6911,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1808,c_1082]) ).
tcf(c_6912,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1526,c_1082]) ).
tcf(c_6913,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1460,c_1082]) ).
tcf(c_6914,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_1082]) ).
tcf(c_6915,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_1082]) ).
tcf(c_6916,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_1082]) ).
tcf(c_6917,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_1082]) ).
tcf(c_6918,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_1082]) ).
tcf(c_6919,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_1082]) ).
tcf(c_6920,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_1082]) ).
tcf(c_6921,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_919,c_1082]) ).
tcf(c_6922,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_629,c_1082]) ).
tcf(c_6923,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_628,c_1082]) ).
tcf(c_6926,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_620,c_1082]) ).
tcf(c_6927,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_619,c_1082]) ).
tcf(c_6934,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1082,c_100]) ).
tcf(c_6935,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1082,c_2947]) ).
tcf(c_6936,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_6935,c_5374]) ).
tcf(c_6953,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6921,c_5120]) ).
tcf(c_6957,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6920,c_5120]) ).
tcf(c_6961,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6919,c_5120]) ).
tcf(c_6965,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6918,c_5120]) ).
tcf(c_6969,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6917,c_5120]) ).
tcf(c_6973,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6916,c_5120]) ).
tcf(c_6977,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6915,c_5120]) ).
tcf(c_6981,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6914,c_5120]) ).
tcf(c_7129,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1099,c_100]) ).
tcf(c_7130,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1099,c_2948]) ).
tcf(c_7139,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1109,c_100]) ).
tcf(c_7145,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1110,c_100]) ).
tcf(c_7151,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1111,c_100]) ).
tcf(c_7157,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1112,c_100]) ).
tcf(c_7171,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_1125]) ).
tcf(c_7172,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_1125]) ).
tcf(c_7173,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_1125]) ).
tcf(c_7174,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_1125]) ).
tcf(c_7175,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_1125]) ).
tcf(c_7176,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_1125]) ).
tcf(c_7177,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_1125]) ).
tcf(c_7178,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_919,c_1125]) ).
tcf(c_7180,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_628,c_1125]) ).
tcf(c_7184,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_619,c_1125]) ).
tcf(c_7191,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1125,c_100]) ).
tcf(c_7192,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1125,c_2947]) ).
tcf(c_7193,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7192,c_5374]) ).
tcf(c_7202,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7178,c_5120]) ).
tcf(c_7206,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7177,c_5120]) ).
tcf(c_7210,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7176,c_5120]) ).
tcf(c_7214,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7175,c_5120]) ).
tcf(c_7218,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7174,c_5120]) ).
tcf(c_7222,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7173,c_5120]) ).
tcf(c_7226,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7172,c_5120]) ).
tcf(c_7230,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7171,c_5120]) ).
tcf(c_7247,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_1132]) ).
tcf(c_7248,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_1132]) ).
tcf(c_7249,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_1132]) ).
tcf(c_7250,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_1132]) ).
tcf(c_7251,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_1132]) ).
tcf(c_7252,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_1132]) ).
tcf(c_7253,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_1132]) ).
tcf(c_7254,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_919,c_1132]) ).
tcf(c_7255,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_629,c_1132]) ).
tcf(c_7259,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_620,c_1132]) ).
tcf(c_7267,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1132,c_100]) ).
tcf(c_7268,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1132,c_2947]) ).
tcf(c_7269,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7268,c_5374]) ).
tcf(c_7278,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7254,c_5120]) ).
tcf(c_7282,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7253,c_5120]) ).
tcf(c_7286,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7252,c_5120]) ).
tcf(c_7290,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7251,c_5120]) ).
tcf(c_7294,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7250,c_5120]) ).
tcf(c_7298,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7249,c_5120]) ).
tcf(c_7302,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7248,c_5120]) ).
tcf(c_7306,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7247,c_5120]) ).
tcf(c_7318,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3912,c_584]) ).
tcf(c_7333,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3991,c_584]) ).
tcf(c_7356,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c10 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_4100,c_584]) ).
tcf(c_7369,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c10 )
| ( multiply(inverse(iPr_def_18),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_4220,c_584]) ).
tcf(c_7564,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2098,c_1139]) ).
tcf(c_7565,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2024,c_1139]) ).
tcf(c_7566,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1955,c_1139]) ).
tcf(c_7567,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1901,c_1139]) ).
tcf(c_7568,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1842,c_1139]) ).
tcf(c_7569,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1808,c_1139]) ).
tcf(c_7570,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1526,c_1139]) ).
tcf(c_7571,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1460,c_1139]) ).
tcf(c_7572,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_1139]) ).
tcf(c_7573,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_1139]) ).
tcf(c_7574,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_1139]) ).
tcf(c_7575,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_1139]) ).
tcf(c_7576,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_1139]) ).
tcf(c_7577,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_1139]) ).
tcf(c_7578,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_1139]) ).
tcf(c_7579,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_919,c_1139]) ).
tcf(c_7592,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1139,c_100]) ).
tcf(c_7593,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1139,c_2947]) ).
tcf(c_7594,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_7593,c_5374]) ).
tcf(c_7599,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7579,c_5120]) ).
tcf(c_7603,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7578,c_5120]) ).
tcf(c_7607,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7577,c_5120]) ).
tcf(c_7611,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7576,c_5120]) ).
tcf(c_7615,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7575,c_5120]) ).
tcf(c_7619,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7574,c_5120]) ).
tcf(c_7623,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7573,c_5120]) ).
tcf(c_7627,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7572,c_5120]) ).
tcf(c_7696,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c5,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1162,c_100]) ).
tcf(c_7697,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1162,c_2945]) ).
tcf(c_7698,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c9 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7697,c_5211]) ).
tcf(c_7711,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_630,c_1163]) ).
tcf(c_7712,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_621,c_1163]) ).
tcf(c_7713,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_612,c_1163]) ).
tcf(c_7714,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_611,c_1163]) ).
tcf(c_7715,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_610,c_1163]) ).
tcf(c_7716,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_609,c_1163]) ).
tcf(c_7717,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_607,c_1163]) ).
tcf(c_7719,plain,
( ( sk_c9 = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_16) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1163,c_585]) ).
tcf(c_7720,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1163,c_100]) ).
tcf(c_7796,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1164,c_100]) ).
tcf(c_7797,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1164,c_2944]) ).
tcf(c_7806,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1201,c_100]) ).
tcf(c_7807,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1201,c_2948]) ).
tcf(c_7808,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_7807,c_5612]) ).
tcf(c_7818,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,multiply(iPr_def_24,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1202,c_100]) ).
tcf(c_7819,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1202,c_2946]) ).
tcf(c_7830,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_626,c_1203]) ).
tcf(c_7831,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_623,c_1203]) ).
tcf(c_7832,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_617,c_1203]) ).
tcf(c_7833,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_614,c_1203]) ).
tcf(c_7838,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1203,c_100]) ).
tcf(c_7858,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1240,c_100]) ).
tcf(c_7859,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1240,c_2945]) ).
tcf(c_7860,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c9 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7859,c_5211]) ).
tcf(c_7883,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c10 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_4426,c_584]) ).
tcf(c_7896,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c10 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_4532,c_584]) ).
tcf(c_7933,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_21) )
| ( multiply(iPr_def_21,inverse(iPr_def_21)) != sk_c10 )
| ( multiply(inverse(iPr_def_21),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_4819,c_584]) ).
tcf(c_7946,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c10 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_5002,c_584]) ).
tcf(c_8127,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_630,c_1241]) ).
tcf(c_8128,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_621,c_1241]) ).
tcf(c_8129,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_612,c_1241]) ).
tcf(c_8130,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_611,c_1241]) ).
tcf(c_8131,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_610,c_1241]) ).
tcf(c_8132,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_609,c_1241]) ).
tcf(c_8135,plain,
( ( sk_c9 = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_19) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1241,c_585]) ).
tcf(c_8136,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1241,c_100]) ).
tcf(c_8176,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1242,c_100]) ).
tcf(c_8177,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1242,c_2944]) ).
tcf(c_8186,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1279,c_100]) ).
tcf(c_8187,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1279,c_2948]) ).
tcf(c_8188,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_8187,c_5612]) ).
tcf(c_8223,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_24,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1280,c_100]) ).
tcf(c_8224,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1280,c_2946]) ).
tcf(c_8235,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_626,c_1281]) ).
tcf(c_8236,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_623,c_1281]) ).
tcf(c_8237,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_617,c_1281]) ).
tcf(c_8238,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_614,c_1281]) ).
tcf(c_8243,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1281,c_100]) ).
tcf(c_8274,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1303,c_100]) ).
tcf(c_8275,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1303,c_2948]) ).
tcf(c_8276,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_8275,c_5612]) ).
tcf(c_8296,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_24,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1304,c_100]) ).
tcf(c_8297,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1304,c_2946]) ).
tcf(c_8308,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_626,c_1305]) ).
tcf(c_8309,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_623,c_1305]) ).
tcf(c_8310,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_617,c_1305]) ).
tcf(c_8311,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_614,c_1305]) ).
tcf(c_8316,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1305,c_100]) ).
tcf(c_8349,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1327,c_100]) ).
tcf(c_8350,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1327,c_2948]) ).
tcf(c_8351,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_8350,c_5612]) ).
tcf(c_8369,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_24,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1328,c_100]) ).
tcf(c_8370,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1328,c_2946]) ).
tcf(c_8395,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_626,c_1329]) ).
tcf(c_8396,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_623,c_1329]) ).
tcf(c_8397,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_617,c_1329]) ).
tcf(c_8398,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_614,c_1329]) ).
tcf(c_8403,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1329,c_100]) ).
tcf(c_8445,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1357,c_100]) ).
tcf(c_8446,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1357,c_2948]) ).
tcf(c_8447,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8446,c_5612]) ).
tcf(c_8456,plain,
! [X0: $i] :
( ( iPr_def_16 = X0 )
| ( iPr_def_16 != inverse(sk_c6) )
| ( X0 != inverse(sk_c6) ) ),
inference(instantiation,[status(thm)],[c_2893]) ).
tcf(c_8460,plain,
! [X0: $i] :
( ( iPr_def_16 = X0 )
| ( iPr_def_16 != iPr_def_16 )
| ( X0 != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_2893]) ).
tcf(c_8508,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c4,multiply(iPr_def_24,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1358,c_100]) ).
tcf(c_8509,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1358,c_2946]) ).
tcf(c_8520,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_626,c_1359]) ).
tcf(c_8521,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_623,c_1359]) ).
tcf(c_8522,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_617,c_1359]) ).
tcf(c_8523,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_614,c_1359]) ).
tcf(c_8528,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c8,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1359,c_100]) ).
tcf(c_8561,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1404,c_100]) ).
tcf(c_8567,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1405,c_100]) ).
tcf(c_8573,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1406,c_100]) ).
tcf(c_8579,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1407,c_100]) ).
tcf(c_8585,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1408,c_100]) ).
tcf(c_8591,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1409,c_100]) ).
tcf(c_8597,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1410,c_100]) ).
tcf(c_8603,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c5,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1438,c_100]) ).
tcf(c_8604,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1438,c_2945]) ).
tcf(c_8605,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_8604,c_5211]) ).
tcf(c_8673,plain,
! [X0: $i] :
( ( iPr_def_19 = X0 )
| ( iPr_def_19 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_2980]) ).
tcf(c_8689,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_621,c_1439]) ).
tcf(c_8696,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_16) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1439,c_585]) ).
tcf(c_8697,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1439,c_100]) ).
tcf(c_8711,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1440,c_100]) ).
tcf(c_8712,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1440,c_2944]) ).
tcf(c_8800,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1459,c_100]) ).
tcf(c_8806,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3980,c_1485]) ).
tcf(c_8807,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3902,c_1485]) ).
tcf(c_8808,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1485,c_100]) ).
tcf(c_8820,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3980,c_1486]) ).
tcf(c_8821,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3902,c_1486]) ).
tcf(c_8837,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1486,c_100]) ).
tcf(c_8901,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_15 )
| ( iPr_def_26 != X0 )
| ( iPr_def_15 != X0 ) ),
inference(instantiation,[status(thm)],[c_2984]) ).
tcf(c_8903,plain,
( ( iPr_def_26 = inverse(sk_c2) )
| ( iPr_def_26 != iPr_def_15 )
| ( inverse(sk_c2) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_2604]) ).
tcf(c_8904,plain,
( ( iPr_def_26 = iPr_def_15 )
| ( iPr_def_26 != sk_c10 )
| ( iPr_def_15 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_8901]) ).
tcf(c_8920,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3980,c_1487]) ).
tcf(c_8921,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3902,c_1487]) ).
tcf(c_8922,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1487,c_100]) ).
tcf(c_8923,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1487,c_2942]) ).
tcf(c_8924,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_8923,c_5120]) ).
tcf(c_8940,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1528,c_100]) ).
tcf(c_8941,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1528,c_2945]) ).
tcf(c_8942,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_8941,c_5211]) ).
tcf(c_8957,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_621,c_1529]) ).
tcf(c_8964,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_19) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1529,c_585]) ).
tcf(c_8965,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1529,c_100]) ).
tcf(c_8979,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1530,c_100]) ).
tcf(c_8980,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1530,c_2944]) ).
tcf(c_8989,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3980,c_1554]) ).
tcf(c_8990,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3902,c_1554]) ).
tcf(c_8991,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1554,c_100]) ).
tcf(c_9003,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3980,c_1555]) ).
tcf(c_9004,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3902,c_1555]) ).
tcf(c_9020,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1555,c_100]) ).
tcf(c_9034,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3980,c_1556]) ).
tcf(c_9035,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3902,c_1556]) ).
tcf(c_9036,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1556,c_100]) ).
tcf(c_9037,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1556,c_2942]) ).
tcf(c_9038,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_9037,c_5120]) ).
tcf(c_9054,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3980,c_1596]) ).
tcf(c_9055,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3902,c_1596]) ).
tcf(c_9056,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1596,c_100]) ).
tcf(c_9068,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3980,c_1597]) ).
tcf(c_9069,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3902,c_1597]) ).
tcf(c_9085,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1597,c_100]) ).
tcf(c_9191,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3980,c_1598]) ).
tcf(c_9192,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3902,c_1598]) ).
tcf(c_9193,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1598,c_100]) ).
tcf(c_9194,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1598,c_2942]) ).
tcf(c_9195,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_9194,c_5120]) ).
tcf(c_9211,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3980,c_1645]) ).
tcf(c_9212,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3902,c_1645]) ).
tcf(c_9213,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1645,c_100]) ).
tcf(c_9225,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3980,c_1646]) ).
tcf(c_9226,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3902,c_1646]) ).
tcf(c_9242,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1646,c_100]) ).
tcf(c_9256,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3980,c_1647]) ).
tcf(c_9257,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3902,c_1647]) ).
tcf(c_9258,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1647,c_100]) ).
tcf(c_9259,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1647,c_2942]) ).
tcf(c_9260,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_9259,c_5120]) ).
tcf(c_9276,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1705,c_100]) ).
tcf(c_9277,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1705,c_2948]) ).
tcf(c_9278,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_9277,c_5612]) ).
tcf(c_9288,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1706,c_100]) ).
tcf(c_9289,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1706,c_2946]) ).
tcf(c_9310,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1707,c_100]) ).
tcf(c_9318,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1749,c_100]) ).
tcf(c_9324,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c5,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1778,c_100]) ).
tcf(c_9325,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1778,c_2945]) ).
tcf(c_9326,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_9325,c_5211]) ).
tcf(c_9344,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_630,c_1779]) ).
tcf(c_9352,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_16) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1779,c_585]) ).
tcf(c_9353,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1779,c_100]) ).
tcf(c_9367,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1780,c_100]) ).
tcf(c_9368,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1780,c_2944]) ).
tcf(c_9377,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1809,c_100]) ).
tcf(c_9585,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1843,c_100]) ).
tcf(c_9616,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1844,c_100]) ).
tcf(c_9634,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1845,c_100]) ).
tcf(c_9635,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1845,c_2942]) ).
tcf(c_9636,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_9635,c_5120]) ).
tcf(c_9646,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1904,c_100]) ).
tcf(c_9647,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1904,c_2945]) ).
tcf(c_9648,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_9647,c_5211]) ).
tcf(c_9666,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_630,c_1905]) ).
tcf(c_9674,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_19) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1905,c_585]) ).
tcf(c_9675,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1905,c_100]) ).
tcf(c_9712,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1906,c_100]) ).
tcf(c_9713,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1906,c_2944]) ).
tcf(c_9732,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1957,c_100]) ).
tcf(c_9763,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1958,c_100]) ).
tcf(c_9781,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1959,c_100]) ).
tcf(c_9782,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1959,c_2942]) ).
tcf(c_9783,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_9782,c_5120]) ).
tcf(c_9803,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2027,c_100]) ).
tcf(c_9834,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2028,c_100]) ).
tcf(c_9852,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_2029,c_100]) ).
tcf(c_9853,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2029,c_2942]) ).
tcf(c_9854,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_9853,c_5120]) ).
tcf(c_10081,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2102,c_100]) ).
tcf(c_10112,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2103,c_100]) ).
tcf(c_10130,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_2104,c_100]) ).
tcf(c_10131,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2104,c_2942]) ).
tcf(c_10132,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_10131,c_5120]) ).
tcf(c_10142,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_2199,c_100]) ).
tcf(c_10143,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2199,c_2948]) ).
tcf(c_10144,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_10143,c_5612]) ).
tcf(c_10160,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_2200,c_100]) ).
tcf(c_10161,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2200,c_2946]) ).
tcf(c_10185,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2201,c_100]) ).
tcf(c_10201,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_6034,c_100]) ).
tcf(c_10209,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_6074,c_100]) ).
tcf(c_10233,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1026,c_2649]) ).
tcf(c_10241,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2649,c_100]) ).
tcf(c_10242,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_10233,c_5120]) ).
tcf(c_10270,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_2650,c_100]) ).
tcf(c_10271,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2650,c_2942]) ).
tcf(c_10287,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1026,c_2793]) ).
tcf(c_10295,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2793,c_100]) ).
tcf(c_10304,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_2794,c_100]) ).
tcf(c_10305,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2794,c_2942]) ).
tcf(c_10638,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_6425,c_100]) ).
tcf(c_10648,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_6429,c_100]) ).
tcf(c_10666,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_6849,c_100]) ).
tcf(c_10676,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_6853,c_100]) ).
tcf(c_10694,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_7180,c_100]) ).
tcf(c_10705,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_7184,c_100]) ).
tcf(c_10729,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_7255,c_100]) ).
tcf(c_10739,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_7259,c_100]) ).
tcf(c_10761,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_24,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1239,c_2921]) ).
tcf(c_10762,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_24,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1188,c_2921]) ).
tcf(c_10771,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_21,X0),X1),
inference(superposition,[status(thm)],[c_2921,c_100]) ).
tcf(c_10789,plain,
multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,sk_c9),
inference(superposition,[status(thm)],[c_572,c_2922]) ).
tcf(c_10790,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2201,c_2922]) ).
tcf(c_10791,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1707,c_2922]) ).
tcf(c_10792,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1047,c_2922]) ).
tcf(c_10793,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1359,c_2922]) ).
tcf(c_10794,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1329,c_2922]) ).
tcf(c_10795,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1305,c_2922]) ).
tcf(c_10796,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1281,c_2922]) ).
tcf(c_10797,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1203,c_2922]) ).
tcf(c_10814,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1),
inference(superposition,[status(thm)],[c_2922,c_100]) ).
tcf(c_10850,plain,
! [X0: $i] :
( ( iPr_def_26 = X0 )
| ( iPr_def_26 != iPr_def_26 )
| ( X0 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_2984]) ).
tcf(c_10851,plain,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_26 != iPr_def_26 )
| ( sk_c10 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_10850]) ).
tcf(c_10856,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c9),X0) = multiply(sk_c5,multiply(iPr_def_18,X0)),
inference(superposition,[status(thm)],[c_10789,c_100]) ).
tcf(c_10857,plain,
multiply(iPr_def_19,multiply(iPr_def_20,sk_c9)) = iPr_def_18,
inference(superposition,[status(thm)],[c_10789,c_2945]) ).
tcf(c_10882,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1239,c_2923]) ).
tcf(c_10883,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1188,c_2923]) ).
tcf(c_10892,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1),
inference(superposition,[status(thm)],[c_2923,c_100]) ).
tcf(c_10893,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,multiply(sk_c9,X0)),
inference(superposition,[status(thm)],[c_2923,c_2922]) ).
tcf(c_11103,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10242,c_1139]) ).
tcf(c_11106,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10242,c_1132]) ).
tcf(c_11107,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10242,c_1125]) ).
tcf(c_11108,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10242,c_1082]) ).
tcf(c_11109,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10242,c_1081]) ).
tcf(c_11110,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10242,c_1080]) ).
tcf(c_11111,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10242,c_1079]) ).
tcf(c_11112,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10242,c_2947]) ).
tcf(c_11113,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10242,c_2098]) ).
tcf(c_11114,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10242,c_2024]) ).
tcf(c_11115,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10242,c_1955]) ).
tcf(c_11116,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10242,c_1901]) ).
tcf(c_11117,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10242,c_1842]) ).
tcf(c_11118,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10242,c_1808]) ).
tcf(c_11119,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10242,c_1526]) ).
tcf(c_11120,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10242,c_1460]) ).
tcf(c_11128,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10242,c_919]) ).
tcf(c_11129,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_24,multiply(X0,iPr_def_24)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_10242,c_582]) ).
tcf(c_11138,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_10242,c_1103]) ).
tcf(c_11139,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10242,c_578]) ).
tcf(c_11140,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_577]) ).
tcf(c_11142,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_10242,c_567]) ).
tcf(c_11158,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = identity ) ),
inference(light_normalisation,[status(thm)],[c_11138,c_5374]) ).
tcf(c_11179,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_11112,c_5564]) ).
tcf(c_11307,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8689,c_100]) ).
tcf(c_11315,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8957,c_100]) ).
tcf(c_11323,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9344,c_100]) ).
tcf(c_11337,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9666,c_100]) ).
tcf(c_11361,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_1205,c_1205,c_2280,c_8924,c_9636]) ).
tcf(c_11362,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_18 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(renaming,[status(thm)],[c_11361]) ).
tcf(c_11371,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_1283,c_1283,c_2280,c_9038,c_9783]) ).
tcf(c_11372,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_20 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(renaming,[status(thm)],[c_11371]) ).
tcf(c_11381,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_1307,c_1307,c_2280,c_9195,c_9854]) ).
tcf(c_11382,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_21 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(renaming,[status(thm)],[c_11381]) ).
tcf(c_11391,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_1331,c_1331,c_2280,c_9260,c_10132]) ).
tcf(c_11392,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_22 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(renaming,[status(thm)],[c_11391]) ).
tcf(c_11408,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c10 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_11142,c_584]) ).
tcf(c_11416,plain,
multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,sk_c9),
inference(superposition,[status(thm)],[c_572,c_2924]) ).
tcf(c_11417,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2201,c_2924]) ).
tcf(c_11418,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1707,c_2924]) ).
tcf(c_11419,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1047,c_2924]) ).
tcf(c_11420,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1359,c_2924]) ).
tcf(c_11421,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1329,c_2924]) ).
tcf(c_11422,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1305,c_2924]) ).
tcf(c_11423,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1281,c_2924]) ).
tcf(c_11424,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1203,c_2924]) ).
tcf(c_11425,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_14,multiply(sk_c9,X0)),
inference(superposition,[status(thm)],[c_2923,c_2924]) ).
tcf(c_11442,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1),
inference(superposition,[status(thm)],[c_2924,c_100]) ).
tcf(c_11471,plain,
! [X0: $i] : multiply(multiply(iPr_def_14,sk_c9),X0) = multiply(sk_c7,multiply(iPr_def_18,X0)),
inference(superposition,[status(thm)],[c_11416,c_100]) ).
tcf(c_11472,plain,
multiply(iPr_def_17,multiply(iPr_def_14,sk_c9)) = iPr_def_18,
inference(superposition,[status(thm)],[c_11416,c_2944]) ).
tcf(c_11473,plain,
! [X0: $i] : multiply(multiply(iPr_def_14,sk_c9),X0) = multiply(iPr_def_14,multiply(sk_c9,X0)),
inference(light_normalisation,[status(thm)],[c_11471,c_11425]) ).
tcf(c_11485,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1239,c_2925]) ).
tcf(c_11486,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1188,c_2925]) ).
tcf(c_11495,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_25,X0),X1),
inference(superposition,[status(thm)],[c_2925,c_100]) ).
tcf(c_11522,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_2104]) ).
tcf(c_11523,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11118,c_2103]) ).
tcf(c_11524,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_11118,c_2102]) ).
tcf(c_11525,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_2029]) ).
tcf(c_11526,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11118,c_2028]) ).
tcf(c_11527,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_11118,c_2027]) ).
tcf(c_11528,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_1959]) ).
tcf(c_11529,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11118,c_1958]) ).
tcf(c_11530,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_11118,c_1957]) ).
tcf(c_11531,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_1845]) ).
tcf(c_11532,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11118,c_1844]) ).
tcf(c_11533,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_11118,c_1843]) ).
tcf(c_11536,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_11118,c_4978]) ).
tcf(c_11537,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_11118,c_4976]) ).
tcf(c_11538,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_11118,c_4975]) ).
tcf(c_11539,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_11118,c_4794]) ).
tcf(c_11540,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_11118,c_4792]) ).
tcf(c_11541,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_11118,c_4507]) ).
tcf(c_11543,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11118,c_2106]) ).
tcf(c_11547,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11118,c_2031]) ).
tcf(c_11548,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11118,c_1961]) ).
tcf(c_11549,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11118,c_1847]) ).
tcf(c_11550,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_11118,c_5612]) ).
tcf(c_11551,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11118,c_2948]) ).
tcf(c_11552,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_11118,c_1102]) ).
tcf(c_11730,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_24) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_11120,c_5612]) ).
tcf(c_11738,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11128,c_11392]) ).
tcf(c_11739,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11128,c_11382]) ).
tcf(c_11740,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11128,c_11372]) ).
tcf(c_11741,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11128,c_11362]) ).
tcf(c_11742,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_11128,c_1359]) ).
tcf(c_11743,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_11128,c_1358]) ).
tcf(c_11744,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11128,c_1357]) ).
tcf(c_11745,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_11128,c_1329]) ).
tcf(c_11746,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_11128,c_1328]) ).
tcf(c_11747,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11128,c_1327]) ).
tcf(c_11748,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_11128,c_1305]) ).
tcf(c_11749,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_11128,c_1304]) ).
tcf(c_11750,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11128,c_1303]) ).
tcf(c_11751,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_11128,c_1281]) ).
tcf(c_11752,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_11128,c_1280]) ).
tcf(c_11753,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11128,c_1279]) ).
tcf(c_11754,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_11128,c_1203]) ).
tcf(c_11755,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_11128,c_1202]) ).
tcf(c_11756,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11128,c_1201]) ).
tcf(c_11757,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_11128,c_5374]) ).
tcf(c_11897,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_2649]) ).
tcf(c_11898,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_2103]) ).
tcf(c_11899,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_2028]) ).
tcf(c_11900,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_1958]) ).
tcf(c_11901,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_1844]) ).
tcf(c_11902,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_1646]) ).
tcf(c_11903,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_1597]) ).
tcf(c_11904,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_1555]) ).
tcf(c_11905,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_1486]) ).
tcf(c_11917,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11158,c_1026]) ).
tcf(c_11921,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_578]) ).
tcf(c_11999,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_1361,c_1361,c_2280,c_9278,c_10144]) ).
tcf(c_12000,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(renaming,[status(thm)],[c_11999]) ).
tcf(c_12009,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11128,c_12000]) ).
tcf(c_12015,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_10242,c_2926]) ).
tcf(c_12028,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2098,c_2926]) ).
tcf(c_12029,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2024,c_2926]) ).
tcf(c_12030,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1955,c_2926]) ).
tcf(c_12031,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1901,c_2926]) ).
tcf(c_12032,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1842,c_2926]) ).
tcf(c_12033,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1808,c_2926]) ).
tcf(c_12034,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1526,c_2926]) ).
tcf(c_12035,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1460,c_2926]) ).
tcf(c_12036,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_986,c_2926]) ).
tcf(c_12037,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_985,c_2926]) ).
tcf(c_12038,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_984,c_2926]) ).
tcf(c_12039,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_950,c_2926]) ).
tcf(c_12040,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_949,c_2926]) ).
tcf(c_12041,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_939,c_2926]) ).
tcf(c_12056,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(identity,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_11158,c_2926]) ).
tcf(c_12064,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1026,c_2926]) ).
tcf(c_12072,plain,
! [X0: $i,X1: $i] : multiply(sk_c10,multiply(multiply(sk_c3,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1),
inference(superposition,[status(thm)],[c_2926,c_100]) ).
tcf(c_12073,plain,
( ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2926,c_582]) ).
tcf(c_12077,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_12056,c_98]) ).
tcf(c_12170,plain,
multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,sk_c3),
inference(superposition,[status(thm)],[c_578,c_2927]) ).
tcf(c_12171,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1139,c_2927]) ).
tcf(c_12172,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1132,c_2927]) ).
tcf(c_12173,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1125,c_2927]) ).
tcf(c_12174,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1082,c_2927]) ).
tcf(c_12175,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1081,c_2927]) ).
tcf(c_12176,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1080,c_2927]) ).
tcf(c_12177,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1079,c_2927]) ).
tcf(c_12178,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_23,multiply(sk_c3,X0)),
inference(superposition,[status(thm)],[c_2926,c_2927]) ).
tcf(c_12179,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_10242,c_2927]) ).
tcf(c_12192,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_2098,c_2927]) ).
tcf(c_12193,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_2024,c_2927]) ).
tcf(c_12194,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1955,c_2927]) ).
tcf(c_12195,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1901,c_2927]) ).
tcf(c_12196,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1842,c_2927]) ).
tcf(c_12197,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1808,c_2927]) ).
tcf(c_12198,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1526,c_2927]) ).
tcf(c_12199,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_1460,c_2927]) ).
tcf(c_12200,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_986,c_2927]) ).
tcf(c_12201,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_985,c_2927]) ).
tcf(c_12202,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_984,c_2927]) ).
tcf(c_12203,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_950,c_2927]) ).
tcf(c_12204,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_949,c_2927]) ).
tcf(c_12205,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_939,c_2927]) ).
tcf(c_12220,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1),
inference(superposition,[status(thm)],[c_2927,c_100]) ).
tcf(c_12383,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_11128,c_12170]) ).
tcf(c_12384,plain,
! [X0: $i] : multiply(multiply(iPr_def_23,sk_c3),X0) = multiply(sk_c2,multiply(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_12170,c_100]) ).
tcf(c_12385,plain,
multiply(iPr_def_15,multiply(iPr_def_23,sk_c3)) = iPr_def_24,
inference(superposition,[status(thm)],[c_12170,c_2942]) ).
tcf(c_12386,plain,
! [X0: $i] : multiply(multiply(iPr_def_23,sk_c3),X0) = multiply(iPr_def_23,multiply(sk_c3,X0)),
inference(light_normalisation,[status(thm)],[c_12384,c_12178]) ).
tcf(c_12401,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1026,c_3034]) ).
tcf(c_12415,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_11917,c_98]) ).
tcf(c_12423,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2648,c_100]) ).
tcf(c_12430,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3035,c_2942]) ).
tcf(c_12444,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1026,c_3176]) ).
tcf(c_12459,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3177,c_2942]) ).
tcf(c_12473,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1026,c_3285]) ).
tcf(c_12487,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2792,c_100]) ).
tcf(c_12493,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3033,c_100]) ).
tcf(c_12499,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3175,c_100]) ).
tcf(c_12505,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3284,c_100]) ).
tcf(c_12522,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3286,c_2942]) ).
tcf(c_12536,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1026,c_3390]) ).
tcf(c_12551,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3391,c_2942]) ).
tcf(c_12565,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1026,c_3509]) ).
tcf(c_12579,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3389,c_100]) ).
tcf(c_12585,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3508,c_100]) ).
tcf(c_12592,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3510,c_2942]) ).
tcf(c_12598,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3620,c_100]) ).
tcf(c_12620,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1026,c_3621]) ).
tcf(c_12635,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3622,c_2942]) ).
tcf(c_12641,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10242,c_3720]) ).
tcf(c_12659,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1808,c_3720]) ).
tcf(c_12661,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1460,c_3720]) ).
tcf(c_12683,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_3720,c_2927]) ).
tcf(c_12684,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3720,c_2947]) ).
tcf(c_12692,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_12683,c_12170]) ).
tcf(c_12718,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11128,c_3733]) ).
tcf(c_12720,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3733,c_2948]) ).
tcf(c_12728,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_11128,c_3734]) ).
tcf(c_12730,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3734,c_2946]) ).
tcf(c_12754,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_11128,c_3735]) ).
tcf(c_12756,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_3735,c_2924]) ).
tcf(c_12757,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_3735,c_2922]) ).
tcf(c_12760,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_12757,c_10789]) ).
tcf(c_12763,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_12756,c_11416]) ).
tcf(c_12811,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_2948]) ).
tcf(c_12819,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3817,c_2946]) ).
tcf(c_12845,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_3818,c_2924]) ).
tcf(c_12846,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_3818,c_2922]) ).
tcf(c_12847,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_12846,c_10789]) ).
tcf(c_12850,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_12845,c_11416]) ).
tcf(c_12860,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_3909]) ).
tcf(c_12887,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3910,c_2942]) ).
tcf(c_12920,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3908,c_100]) ).
tcf(c_12926,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_11120,c_3987]) ).
tcf(c_12929,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3987,c_100]) ).
tcf(c_12940,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3989,c_2942]) ).
tcf(c_12957,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4096,c_100]) ).
tcf(c_12976,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_4097]) ).
tcf(c_13011,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4098,c_2942]) ).
tcf(c_13039,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4218,c_2942]) ).
tcf(c_13045,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4216,c_100]) ).
tcf(c_13062,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4422,c_100]) ).
tcf(c_13112,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4424,c_2942]) ).
tcf(c_13158,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4530,c_2942]) ).
tcf(c_13186,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4817,c_2942]) ).
tcf(c_13192,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4528,c_100]) ).
tcf(c_13198,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4815,c_100]) ).
tcf(c_13204,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4999,c_100]) ).
tcf(c_13250,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_5001,c_2942]) ).
tcf(c_13252,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_15,multiply(multiply(iPr_def_23,X0),X1)) = multiply(multiply(sk_c10,X0),X1),
inference(superposition,[status(thm)],[c_5123,c_100]) ).
tcf(c_13254,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(iPr_def_14,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_5201,c_100]) ).
tcf(c_13256,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c8,sk_c3) = multiply(iPr_def_19,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_4529,c_5362]) ).
tcf(c_13257,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,sk_c3) = multiply(iPr_def_19,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1077,c_5362]) ).
tcf(c_13258,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(multiply(iPr_def_20,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_5362,c_100]) ).
tcf(c_13264,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_22,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_4816,c_5372]) ).
tcf(c_13265,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_22,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1076,c_5372]) ).
tcf(c_13266,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_22,multiply(multiply(iPr_def_21,X0),X1)) = multiply(multiply(sk_c9,X0),X1),
inference(superposition,[status(thm)],[c_5372,c_100]) ).
tcf(c_13272,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_11128,c_5564]) ).
tcf(c_13273,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_13,multiply(multiply(iPr_def_24,X0),X1)) = multiply(multiply(sk_c3,X0),X1),
inference(superposition,[status(thm)],[c_5564,c_100]) ).
tcf(c_13278,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_11118,c_5615]) ).
tcf(c_13279,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4978,c_5615]) ).
tcf(c_13280,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4976,c_5615]) ).
tcf(c_13281,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4975,c_5615]) ).
tcf(c_13282,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4794,c_5615]) ).
tcf(c_13283,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4792,c_5615]) ).
tcf(c_13284,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4507,c_5615]) ).
tcf(c_13285,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4415,c_5615]) ).
tcf(c_13286,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4407,c_5615]) ).
tcf(c_13287,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4090,c_5615]) ).
tcf(c_13288,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4082,c_5615]) ).
tcf(c_13289,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_3988,c_5615]) ).
tcf(c_13290,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_3909,c_5615]) ).
tcf(c_13291,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1646,c_5615]) ).
tcf(c_13292,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1597,c_5615]) ).
tcf(c_13293,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1555,c_5615]) ).
tcf(c_13294,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1486,c_5615]) ).
tcf(c_13295,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c9,iPr_def_23) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7259,c_5615]) ).
tcf(c_13296,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_23) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7184,c_5615]) ).
tcf(c_13297,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_23) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_6853,c_5615]) ).
tcf(c_13298,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_23) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_6429,c_5615]) ).
tcf(c_13299,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_24,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_11120,c_5615]) ).
tcf(c_13300,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_3980,c_5615]) ).
tcf(c_13301,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_3902,c_5615]) ).
tcf(c_13302,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_26,multiply(multiply(iPr_def_25,X0),X1)) = multiply(multiply(sk_c9,X0),X1),
inference(superposition,[status(thm)],[c_5615,c_100]) ).
tcf(c_13498,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_11118,c_5621]) ).
tcf(c_13507,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4090,c_5621]) ).
tcf(c_13508,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4082,c_5621]) ).
tcf(c_13563,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3025,c_2927]) ).
tcf(c_13564,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3025,c_2926]) ).
tcf(c_13576,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3025,c_1139]) ).
tcf(c_13580,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3025,c_1082]) ).
tcf(c_13582,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3025,c_1080]) ).
tcf(c_13584,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3025,c_2947]) ).
tcf(c_13597,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3025,c_939]) ).
tcf(c_13600,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3025,c_582]) ).
tcf(c_13609,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3025,c_1103]) ).
tcf(c_13610,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3025,c_578]) ).
tcf(c_13611,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3025,c_577]) ).
tcf(c_13612,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3025,c_567]) ).
tcf(c_13613,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3025,c_592]) ).
tcf(c_13614,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3025,c_591]) ).
tcf(c_13615,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3025,c_589]) ).
tcf(c_13741,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3026,c_3025]) ).
tcf(c_13743,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3026,c_2927]) ).
tcf(c_13744,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3026,c_2926]) ).
tcf(c_13756,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3026,c_1139]) ).
tcf(c_13760,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3026,c_1082]) ).
tcf(c_13762,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3026,c_1080]) ).
tcf(c_13764,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3026,c_2947]) ).
tcf(c_13777,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3026,c_939]) ).
tcf(c_13780,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3026,c_582]) ).
tcf(c_13789,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_3026,c_1103]) ).
tcf(c_13790,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3026,c_578]) ).
tcf(c_13791,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3026,c_577]) ).
tcf(c_13793,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3026,c_567]) ).
tcf(c_13794,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3026,c_591]) ).
tcf(c_13795,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3026,c_589]) ).
tcf(c_13956,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3027,c_3026]) ).
tcf(c_13957,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3027,c_3025]) ).
tcf(c_13959,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3027,c_2927]) ).
tcf(c_13960,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3027,c_2926]) ).
tcf(c_13971,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3027,c_1139]) ).
tcf(c_13976,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3027,c_1082]) ).
tcf(c_13978,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3027,c_1080]) ).
tcf(c_13980,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3027,c_2947]) ).
tcf(c_13993,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3027,c_939]) ).
tcf(c_13996,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3027,c_582]) ).
tcf(c_14005,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_3027,c_1103]) ).
tcf(c_14006,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3027,c_578]) ).
tcf(c_14007,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3027,c_577]) ).
tcf(c_14009,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3027,c_567]) ).
tcf(c_14011,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3027,c_589]) ).
tcf(c_14212,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3028,c_3027]) ).
tcf(c_14322,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3029,c_2927]) ).
tcf(c_14323,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3029,c_2926]) ).
tcf(c_14335,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3029,c_1139]) ).
tcf(c_14339,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3029,c_1082]) ).
tcf(c_14341,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3029,c_1080]) ).
tcf(c_14343,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3029,c_2947]) ).
tcf(c_14356,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3029,c_939]) ).
tcf(c_14359,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3029,c_582]) ).
tcf(c_14368,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3029,c_1103]) ).
tcf(c_14369,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3029,c_578]) ).
tcf(c_14370,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3029,c_577]) ).
tcf(c_14371,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3029,c_567]) ).
tcf(c_14372,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3029,c_592]) ).
tcf(c_14373,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3029,c_591]) ).
tcf(c_14374,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3029,c_589]) ).
tcf(c_14560,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3030,c_3029]) ).
tcf(c_14564,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3030,c_2927]) ).
tcf(c_14565,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3030,c_2926]) ).
tcf(c_14577,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3030,c_1139]) ).
tcf(c_14581,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3030,c_1082]) ).
tcf(c_14583,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3030,c_1080]) ).
tcf(c_14585,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3030,c_2947]) ).
tcf(c_14598,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3030,c_939]) ).
tcf(c_14601,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3030,c_582]) ).
tcf(c_14610,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_3030,c_1103]) ).
tcf(c_14611,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3030,c_578]) ).
tcf(c_14612,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3030,c_577]) ).
tcf(c_14614,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3030,c_567]) ).
tcf(c_14615,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3030,c_591]) ).
tcf(c_14616,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3030,c_589]) ).
tcf(c_14756,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3031,c_3030]) ).
tcf(c_14757,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3031,c_3029]) ).
tcf(c_14761,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3031,c_2927]) ).
tcf(c_14762,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3031,c_2926]) ).
tcf(c_14773,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3031,c_1139]) ).
tcf(c_14778,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3031,c_1082]) ).
tcf(c_14780,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3031,c_1080]) ).
tcf(c_14782,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3031,c_2947]) ).
tcf(c_14795,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3031,c_939]) ).
tcf(c_14798,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3031,c_582]) ).
tcf(c_14807,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_3031,c_1103]) ).
tcf(c_14808,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3031,c_578]) ).
tcf(c_14809,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3031,c_577]) ).
tcf(c_14811,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3031,c_567]) ).
tcf(c_14813,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3031,c_589]) ).
tcf(c_14868,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2929,c_98]) ).
tcf(c_14915,plain,
multiply(inverse(sk_c4),iPr_def_21) = sk_c9,
inference(superposition,[status(thm)],[c_575,c_14868]) ).
tcf(c_14916,plain,
multiply(inverse(sk_c5),iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_574,c_14868]) ).
tcf(c_14917,plain,
multiply(inverse(sk_c8),iPr_def_18) = sk_c9,
inference(superposition,[status(thm)],[c_572,c_14868]) ).
tcf(c_14918,plain,
multiply(inverse(sk_c7),iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_568,c_14868]) ).
tcf(c_14919,plain,
multiply(inverse(sk_c1),iPr_def_25) = sk_c9,
inference(superposition,[status(thm)],[c_579,c_14868]) ).
tcf(c_14920,plain,
multiply(inverse(sk_c10),iPr_def_24) = sk_c3,
inference(superposition,[status(thm)],[c_578,c_14868]) ).
tcf(c_14921,plain,
multiply(inverse(sk_c2),iPr_def_23) = sk_c10,
inference(superposition,[status(thm)],[c_577,c_14868]) ).
tcf(c_14922,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_98,c_14868]) ).
tcf(c_14923,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_99,c_14868]) ).
tcf(c_14924,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_100,c_14868]) ).
tcf(c_14925,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1906,c_14868]) ).
tcf(c_14926,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1530,c_14868]) ).
tcf(c_14927,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1242,c_14868]) ).
tcf(c_14928,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_970,c_14868]) ).
tcf(c_14929,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1780,c_14868]) ).
tcf(c_14930,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1440,c_14868]) ).
tcf(c_14931,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1164,c_14868]) ).
tcf(c_14932,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_971,c_14868]) ).
tcf(c_14933,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1905,c_14868]) ).
tcf(c_14934,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1529,c_14868]) ).
tcf(c_14935,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1241,c_14868]) ).
tcf(c_14936,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1045,c_14868]) ).
tcf(c_14937,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1779,c_14868]) ).
tcf(c_14938,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1439,c_14868]) ).
tcf(c_14939,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1163,c_14868]) ).
tcf(c_14940,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1046,c_14868]) ).
tcf(c_14941,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2201,c_14868]) ).
tcf(c_14942,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1707,c_14868]) ).
tcf(c_14943,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1047,c_14868]) ).
tcf(c_14944,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1904,c_14868]) ).
tcf(c_14945,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1528,c_14868]) ).
tcf(c_14946,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1240,c_14868]) ).
tcf(c_14947,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1054,c_14868]) ).
tcf(c_14948,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1778,c_14868]) ).
tcf(c_14949,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1438,c_14868]) ).
tcf(c_14950,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1162,c_14868]) ).
tcf(c_14951,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1055,c_14868]) ).
tcf(c_14952,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2200,c_14868]) ).
tcf(c_14953,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1706,c_14868]) ).
tcf(c_14954,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1060,c_14868]) ).
tcf(c_14955,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_5001,c_14868]) ).
tcf(c_14956,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1063,c_14868]) ).
tcf(c_14957,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4817,c_14868]) ).
tcf(c_14958,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1064,c_14868]) ).
tcf(c_14959,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4530,c_14868]) ).
tcf(c_14960,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1065,c_14868]) ).
tcf(c_14961,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4218,c_14868]) ).
tcf(c_14962,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1066,c_14868]) ).
tcf(c_14963,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_22),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_5000,c_14868]) ).
tcf(c_14964,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1075,c_14868]) ).
tcf(c_14965,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4816,c_14868]) ).
tcf(c_14966,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1076,c_14868]) ).
tcf(c_14967,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4529,c_14868]) ).
tcf(c_14968,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1077,c_14868]) ).
tcf(c_14969,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4217,c_14868]) ).
tcf(c_14970,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1078,c_14868]) ).
tcf(c_14971,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3720,c_14868]) ).
tcf(c_14972,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1139,c_14868]) ).
tcf(c_14973,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1132,c_14868]) ).
tcf(c_14974,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1125,c_14868]) ).
tcf(c_14975,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1082,c_14868]) ).
tcf(c_14976,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1081,c_14868]) ).
tcf(c_14977,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1080,c_14868]) ).
tcf(c_14978,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1079,c_14868]) ).
tcf(c_14979,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2199,c_14868]) ).
tcf(c_14980,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1705,c_14868]) ).
tcf(c_14981,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1099,c_14868]) ).
tcf(c_14982,plain,
multiply(inverse(iPr_def_26),identity) = sk_c1,
inference(superposition,[status(thm)],[c_1102,c_14868]) ).
tcf(c_14983,plain,
multiply(inverse(iPr_def_13),identity) = sk_c10,
inference(superposition,[status(thm)],[c_1103,c_14868]) ).
tcf(c_14984,plain,
multiply(inverse(iPr_def_22),identity) = sk_c4,
inference(superposition,[status(thm)],[c_1104,c_14868]) ).
tcf(c_14985,plain,
multiply(inverse(iPr_def_19),identity) = sk_c5,
inference(superposition,[status(thm)],[c_1105,c_14868]) ).
tcf(c_14986,plain,
multiply(inverse(iPr_def_17),identity) = sk_c7,
inference(superposition,[status(thm)],[c_1106,c_14868]) ).
tcf(c_14987,plain,
multiply(inverse(iPr_def_16),identity) = sk_c6,
inference(superposition,[status(thm)],[c_1107,c_14868]) ).
tcf(c_14988,plain,
multiply(inverse(iPr_def_15),identity) = sk_c2,
inference(superposition,[status(thm)],[c_1108,c_14868]) ).
tcf(c_14989,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4999,c_14868]) ).
tcf(c_14990,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1109,c_14868]) ).
tcf(c_14991,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4815,c_14868]) ).
tcf(c_14992,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1110,c_14868]) ).
tcf(c_14993,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4528,c_14868]) ).
tcf(c_14994,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1111,c_14868]) ).
tcf(c_14995,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4216,c_14868]) ).
tcf(c_14996,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1112,c_14868]) ).
tcf(c_14997,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_14868]) ).
tcf(c_14998,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3733,c_14868]) ).
tcf(c_14999,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1357,c_14868]) ).
tcf(c_15000,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1327,c_14868]) ).
tcf(c_15001,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1303,c_14868]) ).
tcf(c_15002,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1279,c_14868]) ).
tcf(c_15003,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1201,c_14868]) ).
tcf(c_15004,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3817,c_14868]) ).
tcf(c_15005,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3734,c_14868]) ).
tcf(c_15006,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1358,c_14868]) ).
tcf(c_15007,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1328,c_14868]) ).
tcf(c_15008,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1304,c_14868]) ).
tcf(c_15009,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1280,c_14868]) ).
tcf(c_15010,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1202,c_14868]) ).
tcf(c_15011,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3818,c_14868]) ).
tcf(c_15012,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3735,c_14868]) ).
tcf(c_15013,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1359,c_14868]) ).
tcf(c_15014,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1329,c_14868]) ).
tcf(c_15015,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1305,c_14868]) ).
tcf(c_15016,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1281,c_14868]) ).
tcf(c_15017,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1203,c_14868]) ).
tcf(c_15018,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1749,c_14868]) ).
tcf(c_15019,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1410,c_14868]) ).
tcf(c_15020,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1408,c_14868]) ).
tcf(c_15021,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1406,c_14868]) ).
tcf(c_15022,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1404,c_14868]) ).
tcf(c_15023,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1809,c_14868]) ).
tcf(c_15024,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1459,c_14868]) ).
tcf(c_15025,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1409,c_14868]) ).
tcf(c_15026,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1407,c_14868]) ).
tcf(c_15027,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1405,c_14868]) ).
tcf(c_15028,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3987,c_14868]) ).
tcf(c_15029,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3908,c_14868]) ).
tcf(c_15030,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1645,c_14868]) ).
tcf(c_15031,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1596,c_14868]) ).
tcf(c_15032,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1554,c_14868]) ).
tcf(c_15033,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1485,c_14868]) ).
tcf(c_15034,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3988,c_14868]) ).
tcf(c_15035,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3909,c_14868]) ).
tcf(c_15036,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1646,c_14868]) ).
tcf(c_15037,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1597,c_14868]) ).
tcf(c_15038,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1555,c_14868]) ).
tcf(c_15039,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1486,c_14868]) ).
tcf(c_15040,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3989,c_14868]) ).
tcf(c_15041,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3910,c_14868]) ).
tcf(c_15042,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1647,c_14868]) ).
tcf(c_15043,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1598,c_14868]) ).
tcf(c_15044,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1556,c_14868]) ).
tcf(c_15045,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1487,c_14868]) ).
tcf(c_15046,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4422,c_14868]) ).
tcf(c_15047,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4096,c_14868]) ).
tcf(c_15048,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2102,c_14868]) ).
tcf(c_15049,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2027,c_14868]) ).
tcf(c_15050,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1957,c_14868]) ).
tcf(c_15051,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1843,c_14868]) ).
tcf(c_15052,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4423,c_14868]) ).
tcf(c_15053,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4097,c_14868]) ).
tcf(c_15054,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2103,c_14868]) ).
tcf(c_15055,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2028,c_14868]) ).
tcf(c_15056,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1958,c_14868]) ).
tcf(c_15057,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1844,c_14868]) ).
tcf(c_15058,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4424,c_14868]) ).
tcf(c_15059,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4098,c_14868]) ).
tcf(c_15060,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2104,c_14868]) ).
tcf(c_15061,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2029,c_14868]) ).
tcf(c_15062,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1959,c_14868]) ).
tcf(c_15063,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1845,c_14868]) ).
tcf(c_15064,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3622,c_14868]) ).
tcf(c_15065,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3510,c_14868]) ).
tcf(c_15066,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3391,c_14868]) ).
tcf(c_15067,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3286,c_14868]) ).
tcf(c_15068,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3177,c_14868]) ).
tcf(c_15069,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3035,c_14868]) ).
tcf(c_15070,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2794,c_14868]) ).
tcf(c_15071,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2650,c_14868]) ).
tcf(c_15072,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3620,c_14868]) ).
tcf(c_15073,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3508,c_14868]) ).
tcf(c_15074,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3389,c_14868]) ).
tcf(c_15075,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3284,c_14868]) ).
tcf(c_15076,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3175,c_14868]) ).
tcf(c_15077,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3033,c_14868]) ).
tcf(c_15078,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2792,c_14868]) ).
tcf(c_15079,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_13),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2648,c_14868]) ).
tcf(c_15080,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3621,c_14868]) ).
tcf(c_15081,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3509,c_14868]) ).
tcf(c_15082,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3390,c_14868]) ).
tcf(c_15083,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3285,c_14868]) ).
tcf(c_15084,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3176,c_14868]) ).
tcf(c_15085,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3034,c_14868]) ).
tcf(c_15086,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2793,c_14868]) ).
tcf(c_15087,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2649,c_14868]) ).
tcf(c_15088,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(iPr_def_21,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_2921,c_14868]) ).
tcf(c_15089,plain,
! [X0: $i] : multiply(inverse(sk_c5),multiply(iPr_def_20,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2922,c_14868]) ).
tcf(c_15090,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_18,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_2923,c_14868]) ).
tcf(c_15091,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(iPr_def_14,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2924,c_14868]) ).
tcf(c_15092,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_25,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_2925,c_14868]) ).
tcf(c_15093,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(iPr_def_24,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2926,c_14868]) ).
tcf(c_15094,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_23,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2927,c_14868]) ).
tcf(c_15096,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2948,c_14868]) ).
tcf(c_15097,plain,
! [X0: $i] : multiply(inverse(iPr_def_13),X0) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2947,c_14868]) ).
tcf(c_15098,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2946,c_14868]) ).
tcf(c_15099,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2945,c_14868]) ).
tcf(c_15100,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2944,c_14868]) ).
tcf(c_15101,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2943,c_14868]) ).
tcf(c_15102,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2942,c_14868]) ).
tcf(c_15103,plain,
multiply(inverse(iPr_def_15),sk_c10) = iPr_def_23,
inference(superposition,[status(thm)],[c_5120,c_14868]) ).
tcf(c_15104,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(sk_c10,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_5123,c_14868]) ).
tcf(c_15105,plain,
multiply(inverse(iPr_def_17),sk_c8) = iPr_def_14,
inference(superposition,[status(thm)],[c_5198,c_14868]) ).
tcf(c_15106,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(sk_c8,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_5201,c_14868]) ).
tcf(c_15107,plain,
multiply(inverse(iPr_def_19),sk_c8) = iPr_def_20,
inference(superposition,[status(thm)],[c_5211,c_14868]) ).
tcf(c_15108,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),multiply(sk_c8,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_5362,c_14868]) ).
tcf(c_15109,plain,
multiply(inverse(iPr_def_22),sk_c9) = iPr_def_21,
inference(superposition,[status(thm)],[c_5364,c_14868]) ).
tcf(c_15110,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(sk_c9,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_5372,c_14868]) ).
tcf(c_15111,plain,
multiply(inverse(iPr_def_13),sk_c3) = iPr_def_24,
inference(superposition,[status(thm)],[c_5374,c_14868]) ).
tcf(c_15112,plain,
! [X0: $i] : multiply(inverse(iPr_def_13),multiply(sk_c3,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_5564,c_14868]) ).
tcf(c_15113,plain,
multiply(inverse(iPr_def_26),sk_c9) = iPr_def_25,
inference(superposition,[status(thm)],[c_5612,c_14868]) ).
tcf(c_15114,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c9,X0)) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_5615,c_14868]) ).
tcf(c_15115,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5621,c_14868]) ).
tcf(c_15116,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9666,c_14868]) ).
tcf(c_15117,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8957,c_14868]) ).
tcf(c_15118,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6034,c_14868]) ).
tcf(c_15119,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9344,c_14868]) ).
tcf(c_15120,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8689,c_14868]) ).
tcf(c_15121,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6074,c_14868]) ).
tcf(c_15122,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7255,c_14868]) ).
tcf(c_15123,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7180,c_14868]) ).
tcf(c_15124,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6849,c_14868]) ).
tcf(c_15125,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6425,c_14868]) ).
tcf(c_15126,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7259,c_14868]) ).
tcf(c_15127,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7184,c_14868]) ).
tcf(c_15128,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6853,c_14868]) ).
tcf(c_15129,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6429,c_14868]) ).
tcf(c_15130,plain,
multiply(inverse(sk_c5),multiply(iPr_def_20,sk_c9)) = iPr_def_18,
inference(superposition,[status(thm)],[c_10789,c_14868]) ).
tcf(c_15131,plain,
multiply(inverse(sk_c2),multiply(iPr_def_23,sk_c3)) = iPr_def_24,
inference(superposition,[status(thm)],[c_12170,c_14868]) ).
tcf(c_15132,plain,
multiply(inverse(sk_c7),multiply(iPr_def_14,sk_c9)) = iPr_def_18,
inference(superposition,[status(thm)],[c_11416,c_14868]) ).
tcf(c_15133,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_14868,c_14868]) ).
tcf(c_15134,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_14868,c_100]) ).
tcf(c_15890,plain,
multiply(inverse(inverse(sk_c8)),sk_c9) = iPr_def_18,
inference(superposition,[status(thm)],[c_14917,c_14868]) ).
tcf(c_15908,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_3465,c_100]) ).
tcf(c_15913,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_15908,c_98]) ).
tcf(c_15932,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_11917,c_14922]) ).
tcf(c_15933,plain,
( ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(inverse(identity)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_14922,c_585]) ).
tcf(c_15934,plain,
! [X0: $i] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[status(thm)],[c_14922,c_14868]) ).
tcf(c_15936,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(inverse(identity)) != inverse(X0) )
| ( inverse(inverse(inverse(identity))) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_14922,c_584]) ).
tcf(c_15937,plain,
( ~ iPr_def_12
| ( multiply(sk_c10,sk_c10) != sk_c9 )
| ( inverse(inverse(identity)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_14922,c_582]) ).
tcf(c_15955,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_14923,c_15133]) ).
tcf(c_15959,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_11917,c_15955]) ).
tcf(c_15961,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15955,c_100]) ).
tcf(c_15963,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15955,c_100]) ).
tcf(c_15964,plain,
multiply(sk_c9,identity) = multiply(iPr_def_22,iPr_def_21),
inference(superposition,[status(thm)],[c_15955,c_5372]) ).
tcf(c_15965,plain,
multiply(sk_c1,sk_c9) = multiply(iPr_def_25,identity),
inference(superposition,[status(thm)],[c_15955,c_2925]) ).
tcf(c_15966,plain,
multiply(sk_c8,sk_c9) = multiply(iPr_def_18,identity),
inference(superposition,[status(thm)],[c_15955,c_2923]) ).
tcf(c_15967,plain,
multiply(sk_c4,sk_c9) = multiply(iPr_def_21,identity),
inference(superposition,[status(thm)],[c_15955,c_2921]) ).
tcf(c_15968,plain,
multiply(sk_c8,identity) = multiply(iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_15955,c_5362]) ).
tcf(c_15969,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_15955,c_2924]) ).
tcf(c_15970,plain,
multiply(sk_c5,sk_c8) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_15955,c_2922]) ).
tcf(c_15971,plain,
multiply(sk_c8,identity) = multiply(iPr_def_17,iPr_def_14),
inference(superposition,[status(thm)],[c_15955,c_5201]) ).
tcf(c_15972,plain,
multiply(sk_c9,identity) = multiply(iPr_def_26,iPr_def_25),
inference(superposition,[status(thm)],[c_15955,c_5615]) ).
tcf(c_15973,plain,
multiply(sk_c3,identity) = multiply(iPr_def_13,iPr_def_24),
inference(superposition,[status(thm)],[c_15955,c_5564]) ).
tcf(c_15974,plain,
multiply(sk_c10,sk_c3) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_15955,c_2926]) ).
tcf(c_15975,plain,
multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_23),
inference(superposition,[status(thm)],[c_15955,c_5123]) ).
tcf(c_15976,plain,
multiply(sk_c2,sk_c10) = multiply(iPr_def_23,identity),
inference(superposition,[status(thm)],[c_15955,c_2927]) ).
tcf(c_15984,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_15955,c_14922]) ).
tcf(c_15985,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_15976,c_577]) ).
tcf(c_15986,plain,
multiply(sk_c10,identity) = sk_c10,
inference(light_normalisation,[status(thm)],[c_15975,c_5120]) ).
tcf(c_15987,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_15974,c_578]) ).
tcf(c_15988,plain,
multiply(sk_c3,identity) = sk_c3,
inference(light_normalisation,[status(thm)],[c_15973,c_5374]) ).
tcf(c_15989,plain,
multiply(sk_c9,identity) = sk_c9,
inference(light_normalisation,[status(thm)],[c_15972,c_5612]) ).
tcf(c_15990,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_15971,c_5198]) ).
tcf(c_15991,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_15970,c_574]) ).
tcf(c_15992,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_15969,c_568]) ).
tcf(c_15994,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_15967,c_575]) ).
tcf(c_15995,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_15966,c_572]) ).
tcf(c_15996,plain,
multiply(iPr_def_25,identity) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_15965,c_579]) ).
tcf(c_16008,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11128,c_11139]) ).
tcf(c_16009,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_11139]) ).
tcf(c_16025,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_11139,c_14868]) ).
tcf(c_16027,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,sk_c3) = multiply(iPr_def_13,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_11139,c_5564]) ).
tcf(c_16032,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_16027,c_5374]) ).
tcf(c_16035,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11917,c_15984]) ).
tcf(c_16036,plain,
! [X0: $i] : multiply(identity,multiply(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_15984,c_14868]) ).
tcf(c_16037,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_15984,c_99]) ).
tcf(c_16038,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,identity) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(identity) )
| ( multiply(identity,inverse(identity)) != sk_c10 )
| ( multiply(inverse(identity),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15984,c_584]) ).
tcf(c_16042,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != X0 )
| ( multiply(identity,identity) != sk_c10 )
| ( multiply(identity,sk_c9) != sk_c10 )
| ( inverse(inverse(X0)) != identity ) ),
inference(light_normalisation,[status(thm)],[c_16038,c_15955,c_15984]) ).
tcf(c_16277,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3032,c_3031]) ).
tcf(c_16402,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3167,c_2927]) ).
tcf(c_16403,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3167,c_2926]) ).
tcf(c_16415,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3167,c_1139]) ).
tcf(c_16419,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3167,c_1082]) ).
tcf(c_16421,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3167,c_1080]) ).
tcf(c_16423,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3167,c_2947]) ).
tcf(c_16431,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3167,c_986]) ).
tcf(c_16434,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3167,c_950]) ).
tcf(c_16435,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3167,c_949]) ).
tcf(c_16439,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3167,c_582]) ).
tcf(c_16448,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3167,c_1103]) ).
tcf(c_16449,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3167,c_578]) ).
tcf(c_16450,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3167,c_577]) ).
tcf(c_16451,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3167,c_567]) ).
tcf(c_16452,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3167,c_592]) ).
tcf(c_16453,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3167,c_591]) ).
tcf(c_16454,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3167,c_589]) ).
tcf(c_16569,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3168,c_3167]) ).
tcf(c_16575,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3168,c_2927]) ).
tcf(c_16576,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3168,c_2926]) ).
tcf(c_16588,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3168,c_1139]) ).
tcf(c_16592,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3168,c_1082]) ).
tcf(c_16594,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3168,c_1080]) ).
tcf(c_16596,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3168,c_2947]) ).
tcf(c_16604,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3168,c_986]) ).
tcf(c_16607,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3168,c_950]) ).
tcf(c_16608,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3168,c_949]) ).
tcf(c_16612,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3168,c_582]) ).
tcf(c_16621,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_3168,c_1103]) ).
tcf(c_16622,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3168,c_578]) ).
tcf(c_16623,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3168,c_577]) ).
tcf(c_16625,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3168,c_567]) ).
tcf(c_16626,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3168,c_591]) ).
tcf(c_16627,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3168,c_589]) ).
tcf(c_16741,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3169,c_3168]) ).
tcf(c_16805,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_11140,c_12170]) ).
tcf(c_16812,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11158,c_16805]) ).
tcf(c_16820,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1026,c_16805]) ).
tcf(c_16821,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_603,c_16805]) ).
tcf(c_16822,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_602,c_16805]) ).
tcf(c_16823,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_601,c_16805]) ).
tcf(c_16824,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_600,c_16805]) ).
tcf(c_16825,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_599,c_16805]) ).
tcf(c_16826,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_598,c_16805]) ).
tcf(c_16827,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_596,c_16805]) ).
tcf(c_16828,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_16805,c_14868]) ).
tcf(c_16829,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c3,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_16805,c_100]) ).
tcf(c_16830,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,sk_c3) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_16805,c_5123]) ).
tcf(c_16867,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_12415,c_585]) ).
tcf(c_16869,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_12415,c_100]) ).
tcf(c_16870,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != inverse(iPr_def_23) )
| ( inverse(inverse(iPr_def_23)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_12415,c_584]) ).
tcf(c_16871,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_23) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_12415,c_582]) ).
tcf(c_16872,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_12415,c_5123]) ).
tcf(c_16953,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3171,c_2927]) ).
tcf(c_16954,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3171,c_2926]) ).
tcf(c_16966,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3171,c_1139]) ).
tcf(c_16970,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3171,c_1082]) ).
tcf(c_16972,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3171,c_1080]) ).
tcf(c_16974,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3171,c_2947]) ).
tcf(c_16982,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3171,c_986]) ).
tcf(c_16985,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3171,c_950]) ).
tcf(c_16986,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3171,c_949]) ).
tcf(c_16990,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3171,c_582]) ).
tcf(c_16999,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3171,c_1103]) ).
tcf(c_17000,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3171,c_578]) ).
tcf(c_17001,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3171,c_577]) ).
tcf(c_17002,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3171,c_567]) ).
tcf(c_17003,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3171,c_592]) ).
tcf(c_17004,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3171,c_591]) ).
tcf(c_17005,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3171,c_589]) ).
tcf(c_17130,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3172,c_3171]) ).
tcf(c_17137,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3172,c_2927]) ).
tcf(c_17138,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3172,c_2926]) ).
tcf(c_17150,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3172,c_1139]) ).
tcf(c_17154,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3172,c_1082]) ).
tcf(c_17156,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3172,c_1080]) ).
tcf(c_17158,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3172,c_2947]) ).
tcf(c_17166,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3172,c_986]) ).
tcf(c_17169,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3172,c_950]) ).
tcf(c_17170,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3172,c_949]) ).
tcf(c_17174,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3172,c_582]) ).
tcf(c_17183,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_3172,c_1103]) ).
tcf(c_17184,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3172,c_578]) ).
tcf(c_17185,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3172,c_577]) ).
tcf(c_17187,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3172,c_567]) ).
tcf(c_17188,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3172,c_591]) ).
tcf(c_17189,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3172,c_589]) ).
tcf(c_17260,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ( iPr_def_16 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1739]) ).
tcf(c_17395,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3173,c_3172]) ).
tcf(c_17471,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_2280,c_2287,c_2280,c_9195,c_9260]) ).
tcf(c_17473,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_17471,c_2287,c_9854,c_10132,c_17471]) ).
tcf(c_17475,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_26 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2202,c_17473]) ).
tcf(c_17476,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_25 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1708,c_17473]) ).
tcf(c_17477,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_15 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_999,c_17473]) ).
tcf(c_17478,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 != iPr_def_13 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_581,c_17473]) ).
tcf(c_17515,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != iPr_def_24 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_12000,c_17478]) ).
tcf(c_17527,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1239,c_17478]) ).
tcf(c_17528,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1188,c_17478]) ).
tcf(c_17596,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3276,c_3168]) ).
tcf(c_17602,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3276,c_2927]) ).
tcf(c_17603,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3276,c_2926]) ).
tcf(c_17615,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3276,c_1139]) ).
tcf(c_17619,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3276,c_1082]) ).
tcf(c_17621,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3276,c_1080]) ).
tcf(c_17623,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3276,c_2947]) ).
tcf(c_17634,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3276,c_950]) ).
tcf(c_17639,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3276,c_582]) ).
tcf(c_17648,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3276,c_1103]) ).
tcf(c_17649,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3276,c_578]) ).
tcf(c_17650,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3276,c_577]) ).
tcf(c_17651,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3276,c_567]) ).
tcf(c_17652,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3276,c_592]) ).
tcf(c_17653,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3276,c_591]) ).
tcf(c_17654,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3276,c_589]) ).
tcf(c_17820,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3277,c_3276]) ).
tcf(c_17828,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3277,c_2927]) ).
tcf(c_17829,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3277,c_2926]) ).
tcf(c_17841,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3277,c_1139]) ).
tcf(c_17845,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3277,c_1082]) ).
tcf(c_17847,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3277,c_1080]) ).
tcf(c_17849,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3277,c_2947]) ).
tcf(c_17860,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3277,c_950]) ).
tcf(c_17865,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3277,c_582]) ).
tcf(c_17874,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_3277,c_1103]) ).
tcf(c_17875,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3277,c_578]) ).
tcf(c_17876,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3277,c_577]) ).
tcf(c_17878,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3277,c_567]) ).
tcf(c_17880,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3277,c_589]) ).
tcf(c_17999,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3278,c_3276]) ).
tcf(c_18002,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3278,c_3168]) ).
tcf(c_18009,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3278,c_2927]) ).
tcf(c_18010,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3278,c_2926]) ).
tcf(c_18021,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3278,c_1139]) ).
tcf(c_18026,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3278,c_1082]) ).
tcf(c_18028,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3278,c_1080]) ).
tcf(c_18030,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3278,c_2947]) ).
tcf(c_18041,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3278,c_950]) ).
tcf(c_18046,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3278,c_582]) ).
tcf(c_18055,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_3278,c_1103]) ).
tcf(c_18056,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3278,c_578]) ).
tcf(c_18057,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3278,c_577]) ).
tcf(c_18059,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3278,c_567]) ).
tcf(c_18118,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c8 )
| ( sk_c8 != iPr_def_16 )
| ( inverse(X0) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_1427]) ).
tcf(c_18292,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3279,c_3277]) ).
tcf(c_18416,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3280,c_3172]) ).
tcf(c_18423,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3280,c_2927]) ).
tcf(c_18424,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3280,c_2926]) ).
tcf(c_18436,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3280,c_1139]) ).
tcf(c_18440,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3280,c_1082]) ).
tcf(c_18442,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3280,c_1080]) ).
tcf(c_18444,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3280,c_2947]) ).
tcf(c_18455,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3280,c_950]) ).
tcf(c_18460,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3280,c_582]) ).
tcf(c_18469,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3280,c_1103]) ).
tcf(c_18470,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3280,c_578]) ).
tcf(c_18471,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3280,c_577]) ).
tcf(c_18472,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3280,c_567]) ).
tcf(c_18473,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3280,c_592]) ).
tcf(c_18474,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3280,c_591]) ).
tcf(c_18475,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3280,c_589]) ).
tcf(c_18590,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3281,c_3280]) ).
tcf(c_18600,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3281,c_2927]) ).
tcf(c_18601,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3281,c_2926]) ).
tcf(c_18613,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3281,c_1139]) ).
tcf(c_18617,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3281,c_1082]) ).
tcf(c_18619,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3281,c_1080]) ).
tcf(c_18621,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3281,c_2947]) ).
tcf(c_18632,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3281,c_950]) ).
tcf(c_18637,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3281,c_582]) ).
tcf(c_18646,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_3281,c_1103]) ).
tcf(c_18647,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3281,c_578]) ).
tcf(c_18648,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3281,c_577]) ).
tcf(c_18650,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3281,c_567]) ).
tcf(c_18652,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3281,c_589]) ).
tcf(c_18761,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3282,c_3280]) ).
tcf(c_18764,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3282,c_3172]) ).
tcf(c_18773,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3282,c_2927]) ).
tcf(c_18774,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3282,c_2926]) ).
tcf(c_18785,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3282,c_1139]) ).
tcf(c_18790,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3282,c_1082]) ).
tcf(c_18792,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3282,c_1080]) ).
tcf(c_18794,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3282,c_2947]) ).
tcf(c_18805,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3282,c_950]) ).
tcf(c_18810,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3282,c_582]) ).
tcf(c_18819,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_3282,c_1103]) ).
tcf(c_18820,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3282,c_578]) ).
tcf(c_18821,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3282,c_577]) ).
tcf(c_18823,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3282,c_567]) ).
tcf(c_18938,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3283,c_3281]) ).
tcf(c_19025,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11128,c_17515]) ).
tcf(c_19097,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3381,c_2927]) ).
tcf(c_19098,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3381,c_2926]) ).
tcf(c_19110,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3381,c_1139]) ).
tcf(c_19114,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3381,c_1082]) ).
tcf(c_19116,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3381,c_1080]) ).
tcf(c_19118,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3381,c_2947]) ).
tcf(c_19126,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3381,c_986]) ).
tcf(c_19127,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3381,c_985]) ).
tcf(c_19128,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3381,c_984]) ).
tcf(c_19134,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3381,c_582]) ).
tcf(c_19143,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3381,c_1103]) ).
tcf(c_19144,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3381,c_578]) ).
tcf(c_19145,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3381,c_577]) ).
tcf(c_19146,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3381,c_567]) ).
tcf(c_19147,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3381,c_592]) ).
tcf(c_19148,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3381,c_591]) ).
tcf(c_19149,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3381,c_589]) ).
tcf(c_19269,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3382,c_3381]) ).
tcf(c_19407,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3385,c_2927]) ).
tcf(c_19408,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3385,c_2926]) ).
tcf(c_19420,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3385,c_1139]) ).
tcf(c_19424,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3385,c_1082]) ).
tcf(c_19426,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3385,c_1080]) ).
tcf(c_19428,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3385,c_2947]) ).
tcf(c_19436,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3385,c_986]) ).
tcf(c_19437,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3385,c_985]) ).
tcf(c_19438,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3385,c_984]) ).
tcf(c_19444,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3385,c_582]) ).
tcf(c_19453,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3385,c_1103]) ).
tcf(c_19454,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3385,c_578]) ).
tcf(c_19455,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3385,c_577]) ).
tcf(c_19456,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3385,c_567]) ).
tcf(c_19457,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3385,c_592]) ).
tcf(c_19458,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3385,c_591]) ).
tcf(c_19459,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3385,c_589]) ).
tcf(c_19580,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3386,c_3385]) ).
tcf(c_19676,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_14212,c_5615]) ).
tcf(c_19688,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_14212,c_2104]) ).
tcf(c_19689,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_14212,c_2103]) ).
tcf(c_19690,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_14212,c_2102]) ).
tcf(c_19691,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_14212,c_2029]) ).
tcf(c_19692,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_14212,c_2028]) ).
tcf(c_19693,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_14212,c_2027]) ).
tcf(c_19694,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_14212,c_1959]) ).
tcf(c_19695,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_14212,c_1958]) ).
tcf(c_19696,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_14212,c_1957]) ).
tcf(c_19697,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_14212,c_1845]) ).
tcf(c_19698,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_14212,c_1844]) ).
tcf(c_19699,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_14212,c_1843]) ).
tcf(c_19708,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_14212,c_2106]) ).
tcf(c_19711,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_14212,c_2031]) ).
tcf(c_19712,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_14212,c_1961]) ).
tcf(c_19713,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_14212,c_1847]) ).
tcf(c_19714,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14212,c_5612]) ).
tcf(c_19715,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_14212,c_2948]) ).
tcf(c_19716,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_14212,c_1102]) ).
tcf(c_19862,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_16277,c_5615]) ).
tcf(c_19892,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_16277,c_5612]) ).
tcf(c_19955,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3500,c_2927]) ).
tcf(c_19956,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3500,c_2926]) ).
tcf(c_19968,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3500,c_1139]) ).
tcf(c_19972,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3500,c_1082]) ).
tcf(c_19974,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3500,c_1080]) ).
tcf(c_19976,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3500,c_2947]) ).
tcf(c_19984,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3500,c_986]) ).
tcf(c_19985,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3500,c_985]) ).
tcf(c_19992,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3500,c_582]) ).
tcf(c_20001,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3500,c_1103]) ).
tcf(c_20002,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3500,c_578]) ).
tcf(c_20003,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3500,c_577]) ).
tcf(c_20004,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3500,c_567]) ).
tcf(c_20006,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3500,c_591]) ).
tcf(c_20007,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3500,c_589]) ).
tcf(c_20119,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3501,c_3381]) ).
tcf(c_20127,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3501,c_2927]) ).
tcf(c_20128,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3501,c_2926]) ).
tcf(c_20140,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3501,c_1139]) ).
tcf(c_20144,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3501,c_1082]) ).
tcf(c_20146,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3501,c_1080]) ).
tcf(c_20148,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3501,c_2947]) ).
tcf(c_20156,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3501,c_986]) ).
tcf(c_20157,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3501,c_985]) ).
tcf(c_20164,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3501,c_582]) ).
tcf(c_20173,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_3501,c_1103]) ).
tcf(c_20174,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3501,c_578]) ).
tcf(c_20175,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3501,c_577]) ).
tcf(c_20177,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3501,c_567]) ).
tcf(c_20370,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3502,c_3500]) ).
tcf(c_20500,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3504,c_2927]) ).
tcf(c_20501,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3504,c_2926]) ).
tcf(c_20513,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3504,c_1139]) ).
tcf(c_20517,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3504,c_1082]) ).
tcf(c_20519,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3504,c_1080]) ).
tcf(c_20521,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3504,c_2947]) ).
tcf(c_20529,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3504,c_986]) ).
tcf(c_20530,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3504,c_985]) ).
tcf(c_20537,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3504,c_582]) ).
tcf(c_20546,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3504,c_1103]) ).
tcf(c_20547,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3504,c_578]) ).
tcf(c_20548,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3504,c_577]) ).
tcf(c_20549,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3504,c_567]) ).
tcf(c_20551,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3504,c_591]) ).
tcf(c_20552,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3504,c_589]) ).
tcf(c_20682,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3505,c_3385]) ).
tcf(c_20691,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3505,c_2927]) ).
tcf(c_20692,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3505,c_2926]) ).
tcf(c_20704,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3505,c_1139]) ).
tcf(c_20708,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3505,c_1082]) ).
tcf(c_20710,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3505,c_1080]) ).
tcf(c_20712,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3505,c_2947]) ).
tcf(c_20720,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3505,c_986]) ).
tcf(c_20721,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3505,c_985]) ).
tcf(c_20728,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3505,c_582]) ).
tcf(c_20737,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_3505,c_1103]) ).
tcf(c_20738,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3505,c_578]) ).
tcf(c_20739,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3505,c_577]) ).
tcf(c_20741,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3505,c_567]) ).
tcf(c_20815,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( iPr_def_26 != X0 )
| ( sk_c9 != X0 ) ),
inference(instantiation,[status(thm)],[c_1826]) ).
tcf(c_20816,plain,
( ( sk_c9 = iPr_def_26 )
| ( iPr_def_26 != sk_c10 )
| ( sk_c9 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_20815]) ).
tcf(c_20906,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3506,c_3504]) ).
tcf(c_21040,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3612,c_3501]) ).
tcf(c_21046,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3612,c_3168]) ).
tcf(c_21048,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3612,c_2927]) ).
tcf(c_21049,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3612,c_2926]) ).
tcf(c_21061,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3612,c_1139]) ).
tcf(c_21065,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3612,c_1082]) ).
tcf(c_21067,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3612,c_1080]) ).
tcf(c_21069,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3612,c_2947]) ).
tcf(c_21077,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3612,c_986]) ).
tcf(c_21085,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3612,c_582]) ).
tcf(c_21094,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3612,c_1103]) ).
tcf(c_21095,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3612,c_578]) ).
tcf(c_21096,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3612,c_577]) ).
tcf(c_21097,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3612,c_567]) ).
tcf(c_21100,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3612,c_589]) ).
tcf(c_21171,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_16741,c_5615]) ).
tcf(c_21183,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16741,c_2104]) ).
tcf(c_21184,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_16741,c_2103]) ).
tcf(c_21185,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_16741,c_2102]) ).
tcf(c_21186,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16741,c_2029]) ).
tcf(c_21187,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_16741,c_2028]) ).
tcf(c_21188,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_16741,c_2027]) ).
tcf(c_21189,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16741,c_1959]) ).
tcf(c_21190,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_16741,c_1958]) ).
tcf(c_21191,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_16741,c_1957]) ).
tcf(c_21192,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16741,c_1845]) ).
tcf(c_21193,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_16741,c_1844]) ).
tcf(c_21194,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_16741,c_1843]) ).
tcf(c_21197,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_16741,c_4978]) ).
tcf(c_21203,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_16741,c_2106]) ).
tcf(c_21206,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_16741,c_2031]) ).
tcf(c_21207,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_16741,c_1961]) ).
tcf(c_21208,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_16741,c_1847]) ).
tcf(c_21209,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_16741,c_5612]) ).
tcf(c_21210,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16741,c_2948]) ).
tcf(c_21211,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_16741,c_1102]) ).
tcf(c_21309,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_17395,c_5615]) ).
tcf(c_21339,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_17395,c_5612]) ).
tcf(c_21359,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_18292,c_5615]) ).
tcf(c_21371,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18292,c_2104]) ).
tcf(c_21372,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18292,c_2103]) ).
tcf(c_21373,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18292,c_2102]) ).
tcf(c_21374,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18292,c_2029]) ).
tcf(c_21375,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18292,c_2028]) ).
tcf(c_21376,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18292,c_2027]) ).
tcf(c_21377,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18292,c_1959]) ).
tcf(c_21378,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18292,c_1958]) ).
tcf(c_21379,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18292,c_1957]) ).
tcf(c_21380,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18292,c_1845]) ).
tcf(c_21381,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18292,c_1844]) ).
tcf(c_21382,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18292,c_1843]) ).
tcf(c_21391,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_18292,c_2106]) ).
tcf(c_21394,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_18292,c_2031]) ).
tcf(c_21395,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_18292,c_1961]) ).
tcf(c_21396,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_18292,c_1847]) ).
tcf(c_21397,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_18292,c_5612]) ).
tcf(c_21398,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18292,c_2948]) ).
tcf(c_21399,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_18292,c_1102]) ).
tcf(c_21544,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_18938,c_5615]) ).
tcf(c_21574,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_18938,c_5612]) ).
tcf(c_21633,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3613,c_3381]) ).
tcf(c_21635,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3613,c_2927]) ).
tcf(c_21636,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3613,c_2926]) ).
tcf(c_21648,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3613,c_1139]) ).
tcf(c_21652,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3613,c_1082]) ).
tcf(c_21654,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3613,c_1080]) ).
tcf(c_21656,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3613,c_2947]) ).
tcf(c_21664,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3613,c_986]) ).
tcf(c_21672,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3613,c_582]) ).
tcf(c_21681,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_3613,c_1103]) ).
tcf(c_21682,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3613,c_578]) ).
tcf(c_21683,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3613,c_577]) ).
tcf(c_21685,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3613,c_567]) ).
tcf(c_21802,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3614,c_3613]) ).
tcf(c_21807,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3614,c_3500]) ).
tcf(c_21811,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3614,c_2927]) ).
tcf(c_21812,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3614,c_2926]) ).
tcf(c_21823,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3614,c_1139]) ).
tcf(c_21828,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3614,c_1082]) ).
tcf(c_21830,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3614,c_1080]) ).
tcf(c_21832,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3614,c_2947]) ).
tcf(c_21840,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3614,c_986]) ).
tcf(c_21848,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3614,c_582]) ).
tcf(c_21857,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_3614,c_1103]) ).
tcf(c_21858,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3614,c_578]) ).
tcf(c_21859,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3614,c_577]) ).
tcf(c_21861,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3614,c_567]) ).
tcf(c_21977,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3615,c_3612]) ).
tcf(c_22097,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3616,c_3505]) ).
tcf(c_22100,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3616,c_2927]) ).
tcf(c_22101,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3616,c_2926]) ).
tcf(c_22113,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3616,c_1139]) ).
tcf(c_22117,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3616,c_1082]) ).
tcf(c_22119,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3616,c_1080]) ).
tcf(c_22121,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3616,c_2947]) ).
tcf(c_22129,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3616,c_986]) ).
tcf(c_22137,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3616,c_582]) ).
tcf(c_22146,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3616,c_1103]) ).
tcf(c_22147,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3616,c_578]) ).
tcf(c_22148,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3616,c_577]) ).
tcf(c_22149,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3616,c_567]) ).
tcf(c_22152,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3616,c_589]) ).
tcf(c_22210,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_22278,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3617,c_3385]) ).
tcf(c_22281,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3617,c_2927]) ).
tcf(c_22282,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3617,c_2926]) ).
tcf(c_22294,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3617,c_1139]) ).
tcf(c_22298,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3617,c_1082]) ).
tcf(c_22300,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3617,c_1080]) ).
tcf(c_22302,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3617,c_2947]) ).
tcf(c_22310,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3617,c_986]) ).
tcf(c_22318,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3617,c_582]) ).
tcf(c_22327,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_3617,c_1103]) ).
tcf(c_22328,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3617,c_578]) ).
tcf(c_22329,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3617,c_577]) ).
tcf(c_22331,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3617,c_567]) ).
tcf(c_22454,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3618,c_3504]) ).
tcf(c_22460,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_3618,c_2927]) ).
tcf(c_22461,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3618,c_2926]) ).
tcf(c_22472,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3618,c_1139]) ).
tcf(c_22477,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3618,c_1082]) ).
tcf(c_22479,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3618,c_1080]) ).
tcf(c_22481,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3618,c_2947]) ).
tcf(c_22489,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3618,c_986]) ).
tcf(c_22497,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_3618,c_582]) ).
tcf(c_22506,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_3618,c_1103]) ).
tcf(c_22507,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3618,c_578]) ).
tcf(c_22508,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3618,c_577]) ).
tcf(c_22510,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3618,c_567]) ).
tcf(c_22642,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3619,c_3616]) ).
tcf(c_22736,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_19269,c_5615]) ).
tcf(c_22748,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19269,c_2104]) ).
tcf(c_22749,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19269,c_2103]) ).
tcf(c_22750,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_19269,c_2102]) ).
tcf(c_22751,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19269,c_2029]) ).
tcf(c_22752,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19269,c_2028]) ).
tcf(c_22753,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_19269,c_2027]) ).
tcf(c_22754,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19269,c_1959]) ).
tcf(c_22755,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19269,c_1958]) ).
tcf(c_22756,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_19269,c_1957]) ).
tcf(c_22757,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19269,c_1845]) ).
tcf(c_22758,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19269,c_1844]) ).
tcf(c_22759,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_19269,c_1843]) ).
tcf(c_22768,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_19269,c_2106]) ).
tcf(c_22771,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_19269,c_2031]) ).
tcf(c_22772,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_19269,c_1961]) ).
tcf(c_22773,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_19269,c_1847]) ).
tcf(c_22774,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_19269,c_5612]) ).
tcf(c_22775,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_19269,c_2948]) ).
tcf(c_22776,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_19269,c_1102]) ).
tcf(c_22931,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_26 != inverse(sk_c1) )
| ( iPr_def_15 != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_3452]) ).
tcf(c_22932,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_26 != X0 )
| ( iPr_def_15 != X0 ) ),
inference(instantiation,[status(thm)],[c_1826]) ).
tcf(c_22933,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_26 != sk_c10 )
| ( iPr_def_15 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_22932]) ).
tcf(c_23020,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_19580,c_5615]) ).
tcf(c_23050,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_19580,c_5612]) ).
tcf(c_23070,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_20370,c_5615]) ).
tcf(c_23082,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20370,c_2104]) ).
tcf(c_23083,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20370,c_2103]) ).
tcf(c_23084,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20370,c_2102]) ).
tcf(c_23085,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20370,c_2029]) ).
tcf(c_23086,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20370,c_2028]) ).
tcf(c_23087,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20370,c_2027]) ).
tcf(c_23088,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20370,c_1959]) ).
tcf(c_23089,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20370,c_1958]) ).
tcf(c_23090,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20370,c_1957]) ).
tcf(c_23091,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20370,c_1845]) ).
tcf(c_23092,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20370,c_1844]) ).
tcf(c_23093,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20370,c_1843]) ).
tcf(c_23102,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_20370,c_2106]) ).
tcf(c_23105,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_20370,c_2031]) ).
tcf(c_23106,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_20370,c_1961]) ).
tcf(c_23107,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_20370,c_1847]) ).
tcf(c_23108,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20370,c_5612]) ).
tcf(c_23109,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20370,c_2948]) ).
tcf(c_23110,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_20370,c_1102]) ).
tcf(c_23318,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_20906,c_5615]) ).
tcf(c_23348,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20906,c_5612]) ).
tcf(c_23394,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_21977,c_5615]) ).
tcf(c_23406,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_21977,c_2104]) ).
tcf(c_23407,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21977,c_2103]) ).
tcf(c_23408,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21977,c_2102]) ).
tcf(c_23409,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_21977,c_2029]) ).
tcf(c_23410,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21977,c_2028]) ).
tcf(c_23411,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21977,c_2027]) ).
tcf(c_23412,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_21977,c_1959]) ).
tcf(c_23413,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21977,c_1958]) ).
tcf(c_23414,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21977,c_1957]) ).
tcf(c_23415,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_21977,c_1845]) ).
tcf(c_23416,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21977,c_1844]) ).
tcf(c_23417,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21977,c_1843]) ).
tcf(c_23426,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_21977,c_2106]) ).
tcf(c_23429,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_21977,c_2031]) ).
tcf(c_23430,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_21977,c_1961]) ).
tcf(c_23431,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_21977,c_1847]) ).
tcf(c_23432,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21977,c_5612]) ).
tcf(c_23433,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21977,c_2948]) ).
tcf(c_23434,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_21977,c_1102]) ).
tcf(c_23498,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_22642,c_5615]) ).
tcf(c_23528,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_22642,c_5612]) ).
tcf(c_23537,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_4426,c_15096]) ).
tcf(c_23538,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_4100,c_15096]) ).
tcf(c_23539,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2106,c_15096]) ).
tcf(c_23540,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2031,c_15096]) ).
tcf(c_23541,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1961,c_15096]) ).
tcf(c_23542,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1847,c_15096]) ).
tcf(c_23543,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_21977,c_15096]) ).
tcf(c_23544,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_20370,c_15096]) ).
tcf(c_23545,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_19269,c_15096]) ).
tcf(c_23546,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_18292,c_15096]) ).
tcf(c_23547,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_16741,c_15096]) ).
tcf(c_23548,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_14212,c_15096]) ).
tcf(c_23549,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_11118,c_15096]) ).
tcf(c_23550,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_4978,c_15096]) ).
tcf(c_23551,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_4976,c_15096]) ).
tcf(c_23552,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_4975,c_15096]) ).
tcf(c_23553,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_4794,c_15096]) ).
tcf(c_23554,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_4792,c_15096]) ).
tcf(c_23555,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_4507,c_15096]) ).
tcf(c_23556,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_4415,c_15096]) ).
tcf(c_23557,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_4407,c_15096]) ).
tcf(c_23558,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_4090,c_15096]) ).
tcf(c_23559,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_4082,c_15096]) ).
tcf(c_23560,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_26)),multiply(sk_c1,X0)) = X0,
inference(superposition,[status(thm)],[c_15096,c_14868]) ).
tcf(c_23561,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_26),multiply(X0,X1)) = multiply(multiply(sk_c1,X0),X1),
inference(superposition,[status(thm)],[c_15096,c_100]) ).
tcf(c_23562,plain,
multiply(sk_c1,iPr_def_26) = identity,
inference(superposition,[status(thm)],[c_15096,c_99]) ).
tcf(c_23563,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(inverse(inverse(iPr_def_26))) != inverse(X0) )
| ( multiply(sk_c1,inverse(X0)) != inverse(inverse(iPr_def_26)) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15096,c_584]) ).
tcf(c_23564,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_26)) != sk_c10 )
| ( multiply(sk_c10,multiply(sk_c1,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_15096,c_582]) ).
tcf(c_23565,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_26,X0)) = X0,
inference(superposition,[status(thm)],[c_15096,c_14868]) ).
tcf(c_23566,plain,
multiply(sk_c1,identity) = inverse(iPr_def_26),
inference(superposition,[status(thm)],[c_15096,c_15955]) ).
tcf(c_23581,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,X0) = multiply(sk_c2,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23558,c_15102]) ).
tcf(c_23586,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,X0) = multiply(sk_c2,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23556,c_15102]) ).
tcf(c_23603,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,X0) = multiply(sk_c2,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23548,c_15102]) ).
tcf(c_23606,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,X0) = multiply(sk_c2,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23547,c_15102]) ).
tcf(c_23609,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,X0) = multiply(sk_c2,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23546,c_15102]) ).
tcf(c_23612,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,X0) = multiply(sk_c2,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23545,c_15102]) ).
tcf(c_23615,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,X0) = multiply(sk_c2,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23544,c_15102]) ).
tcf(c_23618,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,X0) = multiply(sk_c2,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23543,c_15102]) ).
tcf(c_23668,plain,
( ( inverse(sk_c1) = inverse(sk_c2) )
| ( inverse(sk_c2) != sk_c10 )
| ( inverse(sk_c1) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_4909]) ).
tcf(c_23669,plain,
( ( iPr_def_15 = inverse(sk_c1) )
| ( iPr_def_15 != inverse(sk_c2) )
| ( inverse(sk_c1) != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_2360]) ).
tcf(c_23766,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21977,c_23562]) ).
tcf(c_23767,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20370,c_23562]) ).
tcf(c_23768,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_19269,c_23562]) ).
tcf(c_23769,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18292,c_23562]) ).
tcf(c_23770,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_16741,c_23562]) ).
tcf(c_23771,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_14212,c_23562]) ).
tcf(c_23772,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_11118,c_23562]) ).
tcf(c_23773,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4978,c_23562]) ).
tcf(c_23774,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4976,c_23562]) ).
tcf(c_23775,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4975,c_23562]) ).
tcf(c_23776,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4794,c_23562]) ).
tcf(c_23777,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4792,c_23562]) ).
tcf(c_23778,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4507,c_23562]) ).
tcf(c_23779,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4415,c_23562]) ).
tcf(c_23780,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4407,c_23562]) ).
tcf(c_23781,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4090,c_23562]) ).
tcf(c_23782,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4082,c_23562]) ).
tcf(c_23783,plain,
multiply(inverse(sk_c1),identity) = iPr_def_26,
inference(superposition,[status(thm)],[c_23562,c_14868]) ).
tcf(c_23784,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_23562,c_100]) ).
tcf(c_23785,plain,
multiply(iPr_def_26,identity) = iPr_def_26,
inference(superposition,[status(thm)],[c_23562,c_2948]) ).
tcf(c_23929,plain,
inverse(iPr_def_26) = sk_c1,
inference(demodulation,[status(thm)],[c_23566,c_15955]) ).
tcf(c_23931,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_4426,c_23929]) ).
tcf(c_23932,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_4100,c_23929]) ).
tcf(c_23933,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c1 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2106,c_23929]) ).
tcf(c_23934,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c1 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2031,c_23929]) ).
tcf(c_23935,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_1961,c_23929]) ).
tcf(c_23936,plain,
( ( sk_c10 = iPr_def_18 )
| ( sk_c1 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_1847,c_23929]) ).
tcf(c_23949,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_21977,c_23929]) ).
tcf(c_23950,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_20370,c_23929]) ).
tcf(c_23951,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_19269,c_23929]) ).
tcf(c_23952,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_18292,c_23929]) ).
tcf(c_23953,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_16741,c_23929]) ).
tcf(c_23954,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_14212,c_23929]) ).
tcf(c_23955,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_11118,c_23929]) ).
tcf(c_23956,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_25) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4978,c_23929]) ).
tcf(c_23957,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_25) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4976,c_23929]) ).
tcf(c_23958,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_25) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4975,c_23929]) ).
tcf(c_23959,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_25) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4794,c_23929]) ).
tcf(c_23960,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_25) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4792,c_23929]) ).
tcf(c_23961,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_25) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4507,c_23929]) ).
tcf(c_23962,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4415,c_23929]) ).
tcf(c_23963,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4407,c_23929]) ).
tcf(c_23964,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4090,c_23929]) ).
tcf(c_23965,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4082,c_23929]) ).
tcf(c_23968,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c10 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23929,c_584]) ).
tcf(c_24003,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( sk_c10 != iPr_def_25 )
| ( sk_c10 != identity )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_23968,c_579,c_1102,c_23929]) ).
tcf(c_24047,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_1102,c_23565]) ).
tcf(c_24048,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4423,c_23565]) ).
tcf(c_24049,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4097,c_23565]) ).
tcf(c_24050,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2103,c_23565]) ).
tcf(c_24051,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2028,c_23565]) ).
tcf(c_24052,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1958,c_23565]) ).
tcf(c_24053,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1844,c_23565]) ).
tcf(c_24054,plain,
multiply(sk_c1,sk_c9) = iPr_def_25,
inference(superposition,[status(thm)],[c_5612,c_23565]) ).
tcf(c_24056,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5621,c_23565]) ).
tcf(c_24057,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7255,c_23565]) ).
tcf(c_24058,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7180,c_23565]) ).
tcf(c_24059,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6849,c_23565]) ).
tcf(c_24060,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6425,c_23565]) ).
tcf(c_24062,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21977,c_23565]) ).
tcf(c_24063,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20370,c_23565]) ).
tcf(c_24064,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_19269,c_23565]) ).
tcf(c_24065,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18292,c_23565]) ).
tcf(c_24066,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16741,c_23565]) ).
tcf(c_24067,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_14212,c_23565]) ).
tcf(c_24068,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11118,c_23565]) ).
tcf(c_24069,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4978,c_23565]) ).
tcf(c_24070,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4976,c_23565]) ).
tcf(c_24071,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4975,c_23565]) ).
tcf(c_24072,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4794,c_23565]) ).
tcf(c_24073,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4792,c_23565]) ).
tcf(c_24074,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4507,c_23565]) ).
tcf(c_24075,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4415,c_23565]) ).
tcf(c_24076,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4407,c_23565]) ).
tcf(c_24077,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4090,c_23565]) ).
tcf(c_24078,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4082,c_23565]) ).
tcf(c_24079,plain,
! [X0: $i] : multiply(inverse(sk_c1),X0) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_23565,c_14868]) ).
tcf(c_24080,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_26,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_23565,c_100]) ).
tcf(c_24201,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23931,c_3816]) ).
tcf(c_24202,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23931,c_3733]) ).
tcf(c_24203,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_23931,c_2925]) ).
tcf(c_24206,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23931,c_1357]) ).
tcf(c_24207,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23931,c_1327]) ).
tcf(c_24208,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23931,c_1303]) ).
tcf(c_24209,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23931,c_1279]) ).
tcf(c_24210,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23931,c_1201]) ).
tcf(c_24212,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23931,c_2948]) ).
tcf(c_24213,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_23931,c_1102]) ).
tcf(c_24214,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23931,c_579]) ).
tcf(c_24215,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23931,c_580]) ).
tcf(c_24222,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_24201,c_5374]) ).
tcf(c_24234,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_24202,c_5374]) ).
tcf(c_24310,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(iPr_def_13,inverse(iPr_def_13)) != sk_c10 )
| ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24215,c_584]) ).
tcf(c_24340,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24214,c_14868]) ).
tcf(c_24356,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23932,c_3733]) ).
tcf(c_24357,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_23932,c_2925]) ).
tcf(c_24360,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23932,c_1357]) ).
tcf(c_24361,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23932,c_1327]) ).
tcf(c_24362,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23932,c_1303]) ).
tcf(c_24363,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23932,c_1279]) ).
tcf(c_24364,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23932,c_1201]) ).
tcf(c_24366,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23932,c_2948]) ).
tcf(c_24367,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_23932,c_1102]) ).
tcf(c_24368,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23932,c_579]) ).
tcf(c_24369,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23932,c_580]) ).
tcf(c_24376,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_24356,c_5374]) ).
tcf(c_24417,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_23933,c_2925]) ).
tcf(c_24420,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23933,c_1357]) ).
tcf(c_24421,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23933,c_1327]) ).
tcf(c_24422,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23933,c_1303]) ).
tcf(c_24423,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23933,c_1279]) ).
tcf(c_24424,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23933,c_1201]) ).
tcf(c_24426,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23933,c_2948]) ).
tcf(c_24427,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_23933,c_1102]) ).
tcf(c_24428,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23933,c_579]) ).
tcf(c_24429,plain,
( ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23933,c_580]) ).
tcf(c_24436,plain,
( ( sk_c3 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_24421,c_5374]) ).
tcf(c_24444,plain,
( ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_24420,c_5374]) ).
tcf(c_24461,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_23934,c_2925]) ).
tcf(c_24464,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23934,c_1357]) ).
tcf(c_24466,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23934,c_1303]) ).
tcf(c_24467,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23934,c_1279]) ).
tcf(c_24468,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23934,c_1201]) ).
tcf(c_24470,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23934,c_2948]) ).
tcf(c_24471,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_23934,c_1102]) ).
tcf(c_24472,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23934,c_579]) ).
tcf(c_24473,plain,
( ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23934,c_580]) ).
tcf(c_24480,plain,
( ( sk_c3 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_24466,c_5374]) ).
tcf(c_24487,plain,
( ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_24464,c_5374]) ).
tcf(c_24504,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_23935,c_2925]) ).
tcf(c_24507,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23935,c_1357]) ).
tcf(c_24510,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23935,c_1279]) ).
tcf(c_24511,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23935,c_1201]) ).
tcf(c_24513,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23935,c_2948]) ).
tcf(c_24514,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_23935,c_1102]) ).
tcf(c_24515,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23935,c_579]) ).
tcf(c_24516,plain,
( ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23935,c_580]) ).
tcf(c_24523,plain,
( ( sk_c3 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_24510,c_5374]) ).
tcf(c_24529,plain,
( ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_24507,c_5374]) ).
tcf(c_24690,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(iPr_def_13,inverse(iPr_def_13)) != sk_c10 )
| ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24369,c_584]) ).
tcf(c_24704,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(iPr_def_13,inverse(iPr_def_13)) != sk_c10 )
| ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24429,c_584]) ).
tcf(c_24718,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(iPr_def_13,inverse(iPr_def_13)) != sk_c10 )
| ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24473,c_584]) ).
tcf(c_24732,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(iPr_def_13,inverse(iPr_def_13)) != sk_c10 )
| ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24516,c_584]) ).
tcf(c_24749,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_23936,c_2925]) ).
tcf(c_24752,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23936,c_1357]) ).
tcf(c_24756,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23936,c_1201]) ).
tcf(c_24758,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23936,c_2948]) ).
tcf(c_24759,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_23936,c_1102]) ).
tcf(c_24760,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23936,c_579]) ).
tcf(c_24761,plain,
( ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23936,c_580]) ).
tcf(c_24768,plain,
( ( sk_c3 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_24756,c_5374]) ).
tcf(c_24773,plain,
( ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_24752,c_5374]) ).
tcf(c_24840,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24222,c_16805]) ).
tcf(c_24841,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_11139]) ).
tcf(c_24847,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_4097]) ).
tcf(c_24848,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_3988]) ).
tcf(c_24849,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_3909]) ).
tcf(c_24856,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_24222,c_2926]) ).
tcf(c_24857,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24222,c_11158]) ).
tcf(c_24858,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_2793]) ).
tcf(c_24859,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_2649]) ).
tcf(c_24860,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_2103]) ).
tcf(c_24861,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_2028]) ).
tcf(c_24862,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_1958]) ).
tcf(c_24863,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_1844]) ).
tcf(c_24864,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_1646]) ).
tcf(c_24865,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_1597]) ).
tcf(c_24866,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_1555]) ).
tcf(c_24867,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_1486]) ).
tcf(c_24879,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24222,c_1026]) ).
tcf(c_24880,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_24222,c_603]) ).
tcf(c_24881,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_24222,c_602]) ).
tcf(c_24882,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24222,c_601]) ).
tcf(c_24883,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24222,c_578]) ).
tcf(c_24884,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24222,c_600]) ).
tcf(c_24885,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_24222,c_599]) ).
tcf(c_24886,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24222,c_598]) ).
tcf(c_24887,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_24222,c_596]) ).
tcf(c_25012,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24376,c_16805]) ).
tcf(c_25013,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_11139]) ).
tcf(c_25021,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_3909]) ).
tcf(c_25028,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_24376,c_2926]) ).
tcf(c_25029,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24376,c_11158]) ).
tcf(c_25031,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_2649]) ).
tcf(c_25032,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_2103]) ).
tcf(c_25033,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_2028]) ).
tcf(c_25034,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_1958]) ).
tcf(c_25035,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_1844]) ).
tcf(c_25036,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_1646]) ).
tcf(c_25037,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_1597]) ).
tcf(c_25038,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_1555]) ).
tcf(c_25039,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_1486]) ).
tcf(c_25051,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24376,c_1026]) ).
tcf(c_25055,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24376,c_578]) ).
tcf(c_25241,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24436,c_16805]) ).
tcf(c_25242,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_11139]) ).
tcf(c_25251,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_3621]) ).
tcf(c_25252,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_3509]) ).
tcf(c_25253,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_3390]) ).
tcf(c_25254,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_3285]) ).
tcf(c_25255,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_3176]) ).
tcf(c_25256,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_3034]) ).
tcf(c_25257,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_24436,c_2926]) ).
tcf(c_25259,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_2793]) ).
tcf(c_25260,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_2649]) ).
tcf(c_25262,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_2028]) ).
tcf(c_25263,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_1958]) ).
tcf(c_25264,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_1844]) ).
tcf(c_25265,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_1646]) ).
tcf(c_25266,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_1597]) ).
tcf(c_25267,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_1555]) ).
tcf(c_25268,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_1486]) ).
tcf(c_25281,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_24436,c_603]) ).
tcf(c_25282,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_24436,c_602]) ).
tcf(c_25284,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24436,c_578]) ).
tcf(c_25286,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_24436,c_599]) ).
tcf(c_25288,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_24436,c_596]) ).
tcf(c_25459,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_25282,c_2927]) ).
tcf(c_25460,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_25282,c_2926]) ).
tcf(c_25461,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25282,c_10242]) ).
tcf(c_25472,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25282,c_1139]) ).
tcf(c_25475,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25282,c_1125]) ).
tcf(c_25476,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25282,c_1082]) ).
tcf(c_25477,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25282,c_1081]) ).
tcf(c_25478,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25282,c_1080]) ).
tcf(c_25479,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25282,c_1079]) ).
tcf(c_25480,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25282,c_2947]) ).
tcf(c_25481,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_2024]) ).
tcf(c_25482,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_1955]) ).
tcf(c_25483,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_25282,c_1901]) ).
tcf(c_25484,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_1842]) ).
tcf(c_25485,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25282,c_1808]) ).
tcf(c_25486,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_25282,c_1526]) ).
tcf(c_25487,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25282,c_1460]) ).
tcf(c_25488,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_986]) ).
tcf(c_25489,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_985]) ).
tcf(c_25490,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_984]) ).
tcf(c_25491,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_950]) ).
tcf(c_25492,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_949]) ).
tcf(c_25493,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_939]) ).
tcf(c_25494,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_931]) ).
tcf(c_25495,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25282,c_919]) ).
tcf(c_25496,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_25282,c_582]) ).
tcf(c_25497,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_629]) ).
tcf(c_25498,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_25282,c_628]) ).
tcf(c_25499,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25282,c_627]) ).
tcf(c_25500,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25282,c_625]) ).
tcf(c_25501,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_620]) ).
tcf(c_25502,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_25282,c_619]) ).
tcf(c_25503,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25282,c_618]) ).
tcf(c_25504,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25282,c_616]) ).
tcf(c_25505,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_25282,c_1103]) ).
tcf(c_25506,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25282,c_578]) ).
tcf(c_25507,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25282,c_577]) ).
tcf(c_25508,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_25282,c_567]) ).
tcf(c_25919,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1106,c_5125]) ).
tcf(c_25920,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2944,c_5125]) ).
tcf(c_25921,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5198,c_5125]) ).
tcf(c_25922,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5201,c_5125]) ).
tcf(c_25924,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5125,c_14868]) ).
tcf(c_25925,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5125,c_100]) ).
tcf(c_25932,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_25924,c_15101]) ).
tcf(c_25948,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5126,c_14868]) ).
tcf(c_25949,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5126,c_100]) ).
tcf(c_25950,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_25948,c_15101]) ).
tcf(c_25961,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1106,c_5127]) ).
tcf(c_25962,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2944,c_5127]) ).
tcf(c_25963,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5198,c_5127]) ).
tcf(c_25964,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5201,c_5127]) ).
tcf(c_25966,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5127,c_14868]) ).
tcf(c_25967,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5127,c_100]) ).
tcf(c_25974,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_25966,c_15101]) ).
tcf(c_26003,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5128,c_14868]) ).
tcf(c_26004,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5128,c_100]) ).
tcf(c_26005,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_26003,c_15101]) ).
tcf(c_26016,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1106,c_5129]) ).
tcf(c_26017,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2944,c_5129]) ).
tcf(c_26018,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5198,c_5129]) ).
tcf(c_26019,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5201,c_5129]) ).
tcf(c_26021,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5129,c_14868]) ).
tcf(c_26022,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5129,c_100]) ).
tcf(c_26029,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_26021,c_15101]) ).
tcf(c_26117,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5130,c_14868]) ).
tcf(c_26118,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5130,c_100]) ).
tcf(c_26119,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_26117,c_15101]) ).
tcf(c_26130,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1106,c_5131]) ).
tcf(c_26131,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2944,c_5131]) ).
tcf(c_26132,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5198,c_5131]) ).
tcf(c_26133,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5201,c_5131]) ).
tcf(c_26135,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5131,c_14868]) ).
tcf(c_26136,plain,
! [X0: $i,X1: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5131,c_100]) ).
tcf(c_26143,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_26135,c_15101]) ).
tcf(c_26173,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(iPr_def_13,inverse(iPr_def_13)) != sk_c10 )
| ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24761,c_584]) ).
tcf(c_26190,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c10 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_25508,c_584]) ).
tcf(c_26329,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24368,c_14868]) ).
tcf(c_26355,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24428,c_14868]) ).
tcf(c_26379,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24480,c_16805]) ).
tcf(c_26380,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_11139]) ).
tcf(c_26389,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_3621]) ).
tcf(c_26390,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_3509]) ).
tcf(c_26391,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_3390]) ).
tcf(c_26392,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_3285]) ).
tcf(c_26393,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_3176]) ).
tcf(c_26394,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_3034]) ).
tcf(c_26395,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_24480,c_2926]) ).
tcf(c_26397,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_2793]) ).
tcf(c_26398,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_2649]) ).
tcf(c_26401,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_1958]) ).
tcf(c_26402,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_1844]) ).
tcf(c_26404,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_1597]) ).
tcf(c_26405,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_1555]) ).
tcf(c_26406,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_1486]) ).
tcf(c_26419,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24480,c_603]) ).
tcf(c_26421,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24480,c_601]) ).
tcf(c_26422,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24480,c_578]) ).
tcf(c_26424,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24480,c_599]) ).
tcf(c_26426,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24480,c_596]) ).
tcf(c_26503,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24523,c_16805]) ).
tcf(c_26504,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_11139]) ).
tcf(c_26513,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_3621]) ).
tcf(c_26514,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_3509]) ).
tcf(c_26515,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_3390]) ).
tcf(c_26516,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_3285]) ).
tcf(c_26517,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_3176]) ).
tcf(c_26518,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_3034]) ).
tcf(c_26519,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_24523,c_2926]) ).
tcf(c_26521,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_2793]) ).
tcf(c_26522,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_2649]) ).
tcf(c_26526,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_1844]) ).
tcf(c_26529,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_1555]) ).
tcf(c_26530,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_1486]) ).
tcf(c_26543,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24523,c_603]) ).
tcf(c_26546,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24523,c_578]) ).
tcf(c_26547,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24523,c_600]) ).
tcf(c_26548,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24523,c_599]) ).
tcf(c_26550,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24523,c_596]) ).
tcf(c_26745,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24768,c_16805]) ).
tcf(c_26746,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_11139]) ).
tcf(c_26755,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_3621]) ).
tcf(c_26756,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_3509]) ).
tcf(c_26757,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_3390]) ).
tcf(c_26758,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_3285]) ).
tcf(c_26759,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_3176]) ).
tcf(c_26760,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_3034]) ).
tcf(c_26761,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_24768,c_2926]) ).
tcf(c_26763,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_2793]) ).
tcf(c_26764,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_2649]) ).
tcf(c_26772,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_1486]) ).
tcf(c_26785,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24768,c_603]) ).
tcf(c_26788,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24768,c_578]) ).
tcf(c_26790,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24768,c_599]) ).
tcf(c_26791,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24768,c_598]) ).
tcf(c_26792,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24768,c_596]) ).
tcf(c_26846,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25029,c_15984]) ).
tcf(c_26847,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_25) = X0 ) ),
inference(superposition,[status(thm)],[c_25029,c_15955]) ).
tcf(c_26849,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_25029,c_98]) ).
tcf(c_26916,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26421,c_25282]) ).
tcf(c_26918,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_26421,c_2927]) ).
tcf(c_26919,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_26421,c_2926]) ).
tcf(c_26920,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26421,c_10242]) ).
tcf(c_26931,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26421,c_1139]) ).
tcf(c_26935,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26421,c_1082]) ).
tcf(c_26937,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26421,c_1080]) ).
tcf(c_26939,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26421,c_2947]) ).
tcf(c_26941,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_1955]) ).
tcf(c_26942,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26421,c_1901]) ).
tcf(c_26943,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_1842]) ).
tcf(c_26944,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26421,c_1808]) ).
tcf(c_26945,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26421,c_1526]) ).
tcf(c_26946,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26421,c_1460]) ).
tcf(c_26947,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_986]) ).
tcf(c_26948,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_985]) ).
tcf(c_26950,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_950]) ).
tcf(c_26951,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_949]) ).
tcf(c_26952,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_939]) ).
tcf(c_26953,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_931]) ).
tcf(c_26954,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26421,c_919]) ).
tcf(c_26955,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26421,c_582]) ).
tcf(c_26956,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26421,c_629]) ).
tcf(c_26957,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_628]) ).
tcf(c_26958,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26421,c_627]) ).
tcf(c_26959,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26421,c_625]) ).
tcf(c_26960,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26421,c_620]) ).
tcf(c_26961,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_619]) ).
tcf(c_26962,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26421,c_618]) ).
tcf(c_26963,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26421,c_616]) ).
tcf(c_26964,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_26421,c_1103]) ).
tcf(c_26965,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26421,c_578]) ).
tcf(c_26966,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26421,c_577]) ).
tcf(c_26968,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_26421,c_567]) ).
tcf(c_27276,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26547,c_26421]) ).
tcf(c_27277,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26547,c_25282]) ).
tcf(c_27279,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_26547,c_2927]) ).
tcf(c_27280,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_26547,c_2926]) ).
tcf(c_27281,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26547,c_10242]) ).
tcf(c_27291,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26547,c_1139]) ).
tcf(c_27296,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26547,c_1082]) ).
tcf(c_27298,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26547,c_1080]) ).
tcf(c_27300,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26547,c_2947]) ).
tcf(c_27303,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26547,c_1901]) ).
tcf(c_27304,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26547,c_1842]) ).
tcf(c_27305,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26547,c_1808]) ).
tcf(c_27306,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26547,c_1526]) ).
tcf(c_27307,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26547,c_1460]) ).
tcf(c_27308,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26547,c_986]) ).
tcf(c_27311,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26547,c_950]) ).
tcf(c_27313,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26547,c_939]) ).
tcf(c_27314,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26547,c_931]) ).
tcf(c_27315,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26547,c_919]) ).
tcf(c_27316,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26547,c_582]) ).
tcf(c_27317,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26547,c_629]) ).
tcf(c_27318,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26547,c_628]) ).
tcf(c_27319,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26547,c_627]) ).
tcf(c_27320,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26547,c_625]) ).
tcf(c_27321,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26547,c_620]) ).
tcf(c_27322,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26547,c_619]) ).
tcf(c_27323,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26547,c_618]) ).
tcf(c_27324,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26547,c_616]) ).
tcf(c_27325,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_26547,c_1103]) ).
tcf(c_27326,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26547,c_578]) ).
tcf(c_27327,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26547,c_577]) ).
tcf(c_27329,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_26547,c_567]) ).
tcf(c_27656,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26791,c_26547]) ).
tcf(c_27657,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26791,c_26421]) ).
tcf(c_27658,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26791,c_25282]) ).
tcf(c_27660,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_26791,c_2927]) ).
tcf(c_27661,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_26791,c_2926]) ).
tcf(c_27662,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26791,c_10242]) ).
tcf(c_27672,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26791,c_1139]) ).
tcf(c_27677,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26791,c_1082]) ).
tcf(c_27679,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26791,c_1080]) ).
tcf(c_27681,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26791,c_2947]) ).
tcf(c_27685,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26791,c_1901]) ).
tcf(c_27686,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26791,c_1808]) ).
tcf(c_27687,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26791,c_1526]) ).
tcf(c_27688,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26791,c_1460]) ).
tcf(c_27695,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26791,c_931]) ).
tcf(c_27696,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26791,c_919]) ).
tcf(c_27697,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_18,multiply(X0,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26791,c_582]) ).
tcf(c_27698,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26791,c_629]) ).
tcf(c_27699,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26791,c_628]) ).
tcf(c_27700,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26791,c_627]) ).
tcf(c_27701,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26791,c_625]) ).
tcf(c_27702,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26791,c_620]) ).
tcf(c_27703,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26791,c_619]) ).
tcf(c_27704,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26791,c_618]) ).
tcf(c_27705,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26791,c_616]) ).
tcf(c_27706,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_26791,c_1103]) ).
tcf(c_27707,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26791,c_578]) ).
tcf(c_27708,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26791,c_577]) ).
tcf(c_27710,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( inverse(iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_26791,c_567]) ).
tcf(c_27958,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5132,c_14868]) ).
tcf(c_27959,plain,
! [X0: $i,X1: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5132,c_100]) ).
tcf(c_27960,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_27958,c_15101]) ).
tcf(c_27971,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1106,c_5133]) ).
tcf(c_27972,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2944,c_5133]) ).
tcf(c_27973,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5198,c_5133]) ).
tcf(c_27974,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5201,c_5133]) ).
tcf(c_27976,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5133,c_14868]) ).
tcf(c_27977,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5133,c_100]) ).
tcf(c_27984,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_27976,c_15101]) ).
tcf(c_28000,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5134,c_14868]) ).
tcf(c_28001,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5134,c_100]) ).
tcf(c_28002,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28000,c_15101]) ).
tcf(c_28013,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_1102,c_5391]) ).
tcf(c_28023,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5621,c_5391]) ).
tcf(c_28025,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7180,c_5391]) ).
tcf(c_28026,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6849,c_5391]) ).
tcf(c_28027,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6425,c_5391]) ).
tcf(c_28029,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21977,c_5391]) ).
tcf(c_28030,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20370,c_5391]) ).
tcf(c_28031,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_19269,c_5391]) ).
tcf(c_28032,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18292,c_5391]) ).
tcf(c_28033,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16741,c_5391]) ).
tcf(c_28034,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_14212,c_5391]) ).
tcf(c_28035,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11118,c_5391]) ).
tcf(c_28042,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4415,c_5391]) ).
tcf(c_28044,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4090,c_5391]) ).
tcf(c_28046,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5391,c_14868]) ).
tcf(c_28047,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5391,c_100]) ).
tcf(c_28050,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_26,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28046,c_15097]) ).
tcf(c_28067,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_28035,c_5564]) ).
tcf(c_28306,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_1102,c_5392]) ).
tcf(c_28316,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5621,c_5392]) ).
tcf(c_28319,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6849,c_5392]) ).
tcf(c_28320,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6425,c_5392]) ).
tcf(c_28322,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21977,c_5392]) ).
tcf(c_28323,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20370,c_5392]) ).
tcf(c_28324,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_19269,c_5392]) ).
tcf(c_28325,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18292,c_5392]) ).
tcf(c_28326,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16741,c_5392]) ).
tcf(c_28327,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_14212,c_5392]) ).
tcf(c_28328,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11118,c_5392]) ).
tcf(c_28335,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4415,c_5392]) ).
tcf(c_28337,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4090,c_5392]) ).
tcf(c_28339,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5392,c_14868]) ).
tcf(c_28340,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5392,c_100]) ).
tcf(c_28343,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_26,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28339,c_15097]) ).
tcf(c_28359,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_28328,c_5564]) ).
tcf(c_28398,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_21) )
| ( multiply(iPr_def_21,inverse(iPr_def_21)) != sk_c10 )
| ( multiply(inverse(iPr_def_21),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26968,c_584]) ).
tcf(c_28412,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c10 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_27329,c_584]) ).
tcf(c_28426,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c10 )
| ( multiply(inverse(iPr_def_18),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_27710,c_584]) ).
tcf(c_28456,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24472,c_14868]) ).
tcf(c_28479,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_25051,c_5615]) ).
tcf(c_28482,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_25051,c_3908]) ).
tcf(c_28484,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25051,c_3910]) ).
tcf(c_28485,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_3909]) ).
tcf(c_28486,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25051,c_11120]) ).
tcf(c_28487,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_7259]) ).
tcf(c_28488,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_7184]) ).
tcf(c_28489,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_6853]) ).
tcf(c_28490,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_6429]) ).
tcf(c_28491,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25051,c_1647]) ).
tcf(c_28492,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_1646]) ).
tcf(c_28493,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_25051,c_1645]) ).
tcf(c_28494,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25051,c_1598]) ).
tcf(c_28495,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_1597]) ).
tcf(c_28496,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_25051,c_1596]) ).
tcf(c_28497,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25051,c_1556]) ).
tcf(c_28498,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_1555]) ).
tcf(c_28499,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_25051,c_1554]) ).
tcf(c_28500,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25051,c_1487]) ).
tcf(c_28501,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_1486]) ).
tcf(c_28502,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_25051,c_1485]) ).
tcf(c_28504,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_25051,c_3912]) ).
tcf(c_28506,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_25051,c_1649]) ).
tcf(c_28507,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_25051,c_1600]) ).
tcf(c_28508,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_25051,c_1558]) ).
tcf(c_28509,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_25051,c_1489]) ).
tcf(c_28510,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25051,c_3902]) ).
tcf(c_28511,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_25051,c_5612]) ).
tcf(c_28665,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_22642]) ).
tcf(c_28666,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_20906]) ).
tcf(c_28667,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_19580]) ).
tcf(c_28668,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_18938]) ).
tcf(c_28669,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_17395]) ).
tcf(c_28670,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_16277]) ).
tcf(c_28671,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_26916,c_5615]) ).
tcf(c_28672,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_3989]) ).
tcf(c_28673,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_26916,c_3987]) ).
tcf(c_28675,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_3988]) ).
tcf(c_28678,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26916,c_11120]) ).
tcf(c_28679,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_7259]) ).
tcf(c_28680,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_7184]) ).
tcf(c_28681,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_6853]) ).
tcf(c_28682,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_6429]) ).
tcf(c_28683,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_1647]) ).
tcf(c_28684,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_1646]) ).
tcf(c_28685,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_26916,c_1645]) ).
tcf(c_28686,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_1598]) ).
tcf(c_28687,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_1597]) ).
tcf(c_28688,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_26916,c_1596]) ).
tcf(c_28689,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_1556]) ).
tcf(c_28690,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_1555]) ).
tcf(c_28691,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_26916,c_1554]) ).
tcf(c_28692,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_1487]) ).
tcf(c_28693,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_1486]) ).
tcf(c_28694,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_26916,c_1485]) ).
tcf(c_28695,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_26916,c_3991]) ).
tcf(c_28697,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_3980]) ).
tcf(c_28698,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_26916,c_1649]) ).
tcf(c_28699,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_26916,c_1600]) ).
tcf(c_28700,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_26916,c_1558]) ).
tcf(c_28701,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_26916,c_1489]) ).
tcf(c_28703,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26916,c_5612]) ).
tcf(c_28892,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_22642]) ).
tcf(c_28895,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_18938]) ).
tcf(c_28896,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_17395]) ).
tcf(c_28897,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_16277]) ).
tcf(c_28898,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_27276,c_5615]) ).
tcf(c_28899,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_3989]) ).
tcf(c_28900,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27276,c_3987]) ).
tcf(c_28902,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_3988]) ).
tcf(c_28905,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27276,c_11120]) ).
tcf(c_28906,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_7259]) ).
tcf(c_28907,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_7184]) ).
tcf(c_28908,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_6853]) ).
tcf(c_28909,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_6429]) ).
tcf(c_28910,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_1647]) ).
tcf(c_28911,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_1646]) ).
tcf(c_28912,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27276,c_1645]) ).
tcf(c_28913,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_1598]) ).
tcf(c_28914,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_1597]) ).
tcf(c_28915,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27276,c_1596]) ).
tcf(c_28916,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_1556]) ).
tcf(c_28917,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_1555]) ).
tcf(c_28918,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27276,c_1554]) ).
tcf(c_28919,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_1487]) ).
tcf(c_28920,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_1486]) ).
tcf(c_28921,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27276,c_1485]) ).
tcf(c_28922,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27276,c_3991]) ).
tcf(c_28924,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_3980]) ).
tcf(c_28925,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27276,c_1649]) ).
tcf(c_28926,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27276,c_1600]) ).
tcf(c_28927,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27276,c_1558]) ).
tcf(c_28928,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27276,c_1489]) ).
tcf(c_28930,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27276,c_5612]) ).
tcf(c_29410,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_22642]) ).
tcf(c_29411,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_20906]) ).
tcf(c_29413,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_18938]) ).
tcf(c_29415,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_16277]) ).
tcf(c_29416,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_27277,c_5615]) ).
tcf(c_29417,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_3989]) ).
tcf(c_29418,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27277,c_3987]) ).
tcf(c_29420,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_3988]) ).
tcf(c_29423,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27277,c_11120]) ).
tcf(c_29424,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_7259]) ).
tcf(c_29425,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_7184]) ).
tcf(c_29426,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_6853]) ).
tcf(c_29427,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_6429]) ).
tcf(c_29428,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_1647]) ).
tcf(c_29429,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_1646]) ).
tcf(c_29430,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27277,c_1645]) ).
tcf(c_29431,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_1598]) ).
tcf(c_29432,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_1597]) ).
tcf(c_29433,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27277,c_1596]) ).
tcf(c_29434,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_1556]) ).
tcf(c_29435,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_1555]) ).
tcf(c_29436,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27277,c_1554]) ).
tcf(c_29437,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_1487]) ).
tcf(c_29438,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_1486]) ).
tcf(c_29439,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27277,c_1485]) ).
tcf(c_29440,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27277,c_3991]) ).
tcf(c_29442,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_3980]) ).
tcf(c_29443,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27277,c_1649]) ).
tcf(c_29444,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27277,c_1600]) ).
tcf(c_29445,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27277,c_1558]) ).
tcf(c_29446,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27277,c_1489]) ).
tcf(c_29448,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27277,c_5612]) ).
tcf(c_29753,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_1102,c_5393]) ).
tcf(c_29763,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5621,c_5393]) ).
tcf(c_29766,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6849,c_5393]) ).
tcf(c_29769,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21977,c_5393]) ).
tcf(c_29770,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20370,c_5393]) ).
tcf(c_29771,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_19269,c_5393]) ).
tcf(c_29772,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18292,c_5393]) ).
tcf(c_29773,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16741,c_5393]) ).
tcf(c_29774,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_14212,c_5393]) ).
tcf(c_29775,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11118,c_5393]) ).
tcf(c_29782,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4415,c_5393]) ).
tcf(c_29784,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4090,c_5393]) ).
tcf(c_29786,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5393,c_14868]) ).
tcf(c_29787,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5393,c_100]) ).
tcf(c_29790,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_26,X0) ) ),
inference(light_normalisation,[status(thm)],[c_29786,c_15097]) ).
tcf(c_29805,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_29775,c_5564]) ).
tcf(c_29862,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_1102,c_5394]) ).
tcf(c_29872,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5621,c_5394]) ).
tcf(c_29878,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21977,c_5394]) ).
tcf(c_29879,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20370,c_5394]) ).
tcf(c_29880,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_19269,c_5394]) ).
tcf(c_29881,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18292,c_5394]) ).
tcf(c_29882,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16741,c_5394]) ).
tcf(c_29883,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_14212,c_5394]) ).
tcf(c_29884,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11118,c_5394]) ).
tcf(c_29891,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4415,c_5394]) ).
tcf(c_29893,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4090,c_5394]) ).
tcf(c_29895,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5394,c_14868]) ).
tcf(c_29896,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5394,c_100]) ).
tcf(c_29899,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_26,X0) ) ),
inference(light_normalisation,[status(thm)],[c_29895,c_15097]) ).
tcf(c_29913,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_29884,c_5564]) ).
tcf(c_30041,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27277,c_5395]) ).
tcf(c_30042,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27276,c_5395]) ).
tcf(c_30043,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26916,c_5395]) ).
tcf(c_30044,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_5395]) ).
tcf(c_30054,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5395,c_14868]) ).
tcf(c_30055,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5395,c_100]) ).
tcf(c_30056,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_30054,c_15097]) ).
tcf(c_30094,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27277,c_5396]) ).
tcf(c_30095,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27276,c_5396]) ).
tcf(c_30096,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26916,c_5396]) ).
tcf(c_30097,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_5396]) ).
tcf(c_30107,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5396,c_14868]) ).
tcf(c_30108,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5396,c_100]) ).
tcf(c_30109,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_30107,c_15097]) ).
tcf(c_30161,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27277,c_5397]) ).
tcf(c_30162,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27276,c_5397]) ).
tcf(c_30163,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26916,c_5397]) ).
tcf(c_30164,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_5397]) ).
tcf(c_30174,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5397,c_14868]) ).
tcf(c_30175,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5397,c_100]) ).
tcf(c_30176,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_30174,c_15097]) ).
tcf(c_30332,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27277,c_5398]) ).
tcf(c_30333,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27276,c_5398]) ).
tcf(c_30334,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26916,c_5398]) ).
tcf(c_30335,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_5398]) ).
tcf(c_30345,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5398,c_14868]) ).
tcf(c_30346,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5398,c_100]) ).
tcf(c_30347,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_30345,c_15097]) ).
tcf(c_30376,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,identity) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_1104,c_5399]) ).
tcf(c_30377,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2946,c_5399]) ).
tcf(c_30378,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_5364,c_5399]) ).
tcf(c_30379,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_5372,c_5399]) ).
tcf(c_30381,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_5399,c_14868]) ).
tcf(c_30382,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_22,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5399,c_100]) ).
tcf(c_30389,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_22,X0) ) ),
inference(light_normalisation,[status(thm)],[c_30381,c_15097]) ).
tcf(c_30421,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_5400,c_14868]) ).
tcf(c_30422,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_21,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5400,c_100]) ).
tcf(c_30423,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_21,X0) ) ),
inference(light_normalisation,[status(thm)],[c_30421,c_15097]) ).
tcf(c_30452,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24515,c_14868]) ).
tcf(c_30478,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24760,c_14868]) ).
tcf(c_30486,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_18,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26791,c_24883]) ).
tcf(c_30487,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26547,c_24883]) ).
tcf(c_30488,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26421,c_24883]) ).
tcf(c_30489,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25282,c_24883]) ).
tcf(c_30531,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_24883]) ).
tcf(c_30532,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_24883]) ).
tcf(c_30533,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_24883]) ).
tcf(c_30541,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11120,c_24883]) ).
tcf(c_30542,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3980,c_24883]) ).
tcf(c_30543,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3902,c_24883]) ).
tcf(c_30544,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24883,c_14868]) ).
tcf(c_30546,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_24883,c_2927]) ).
tcf(c_30551,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_30546,c_12170]) ).
tcf(c_30654,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11120,c_25055]) ).
tcf(c_30656,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3902,c_25055]) ).
tcf(c_30657,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25055,c_14868]) ).
tcf(c_30659,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_25055,c_2927]) ).
tcf(c_30666,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_30659,c_12170]) ).
tcf(c_30683,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_24883]) ).
tcf(c_30684,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27656,c_5398]) ).
tcf(c_30685,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27656,c_5397]) ).
tcf(c_30686,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27656,c_5396]) ).
tcf(c_30687,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27656,c_5395]) ).
tcf(c_30693,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27656,c_16277]) ).
tcf(c_30694,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_27656,c_5615]) ).
tcf(c_30695,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27656,c_3989]) ).
tcf(c_30696,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27656,c_3987]) ).
tcf(c_30698,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_3988]) ).
tcf(c_30701,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27656,c_11120]) ).
tcf(c_30702,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_7259]) ).
tcf(c_30703,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_7184]) ).
tcf(c_30704,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_6853]) ).
tcf(c_30705,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_6429]) ).
tcf(c_30706,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27656,c_1647]) ).
tcf(c_30707,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_1646]) ).
tcf(c_30708,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27656,c_1645]) ).
tcf(c_30709,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27656,c_1598]) ).
tcf(c_30710,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_1597]) ).
tcf(c_30711,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27656,c_1596]) ).
tcf(c_30712,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27656,c_1556]) ).
tcf(c_30713,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_1555]) ).
tcf(c_30714,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27656,c_1554]) ).
tcf(c_30715,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27656,c_1487]) ).
tcf(c_30716,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_1486]) ).
tcf(c_30717,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27656,c_1485]) ).
tcf(c_30718,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27656,c_3991]) ).
tcf(c_30720,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27656,c_3980]) ).
tcf(c_30721,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27656,c_1649]) ).
tcf(c_30722,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27656,c_1600]) ).
tcf(c_30723,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27656,c_1558]) ).
tcf(c_30724,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27656,c_1489]) ).
tcf(c_30726,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27656,c_5612]) ).
tcf(c_30934,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_24883]) ).
tcf(c_30935,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27657,c_5398]) ).
tcf(c_30936,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27657,c_5397]) ).
tcf(c_30937,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27657,c_5396]) ).
tcf(c_30938,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27657,c_5395]) ).
tcf(c_30942,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27657,c_18938]) ).
tcf(c_30945,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_27657,c_5615]) ).
tcf(c_30946,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27657,c_3989]) ).
tcf(c_30947,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_3987]) ).
tcf(c_30949,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_3988]) ).
tcf(c_30952,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27657,c_11120]) ).
tcf(c_30953,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_7259]) ).
tcf(c_30954,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_7184]) ).
tcf(c_30955,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_6853]) ).
tcf(c_30956,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_6429]) ).
tcf(c_30957,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27657,c_1647]) ).
tcf(c_30958,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_1646]) ).
tcf(c_30959,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_1645]) ).
tcf(c_30960,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27657,c_1598]) ).
tcf(c_30961,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_1597]) ).
tcf(c_30962,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_1596]) ).
tcf(c_30963,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27657,c_1556]) ).
tcf(c_30964,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_1555]) ).
tcf(c_30965,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_1554]) ).
tcf(c_30966,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27657,c_1487]) ).
tcf(c_30967,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_1486]) ).
tcf(c_30968,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_1485]) ).
tcf(c_30969,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27657,c_3991]) ).
tcf(c_30971,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27657,c_3980]) ).
tcf(c_30972,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27657,c_1649]) ).
tcf(c_30973,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27657,c_1600]) ).
tcf(c_30974,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27657,c_1558]) ).
tcf(c_30975,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27657,c_1489]) ).
tcf(c_30977,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27657,c_5612]) ).
tcf(c_31254,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_24883]) ).
tcf(c_31255,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27658,c_5398]) ).
tcf(c_31256,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27658,c_5397]) ).
tcf(c_31257,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27658,c_5396]) ).
tcf(c_31258,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27658,c_5395]) ).
tcf(c_31259,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27658,c_22642]) ).
tcf(c_31265,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_27658,c_5615]) ).
tcf(c_31266,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27658,c_3989]) ).
tcf(c_31267,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27658,c_3987]) ).
tcf(c_31269,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_3988]) ).
tcf(c_31272,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27658,c_11120]) ).
tcf(c_31273,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_7259]) ).
tcf(c_31274,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_7184]) ).
tcf(c_31275,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_6853]) ).
tcf(c_31276,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_6429]) ).
tcf(c_31277,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27658,c_1647]) ).
tcf(c_31278,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_1646]) ).
tcf(c_31279,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27658,c_1645]) ).
tcf(c_31280,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27658,c_1598]) ).
tcf(c_31281,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_1597]) ).
tcf(c_31282,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27658,c_1596]) ).
tcf(c_31283,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27658,c_1556]) ).
tcf(c_31284,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_1555]) ).
tcf(c_31285,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27658,c_1554]) ).
tcf(c_31286,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27658,c_1487]) ).
tcf(c_31287,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_1486]) ).
tcf(c_31288,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_27658,c_1485]) ).
tcf(c_31289,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27658,c_3991]) ).
tcf(c_31291,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27658,c_3980]) ).
tcf(c_31292,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27658,c_1649]) ).
tcf(c_31293,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27658,c_1600]) ).
tcf(c_31294,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27658,c_1558]) ).
tcf(c_31295,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27658,c_1489]) ).
tcf(c_31297,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27658,c_5612]) ).
tcf(c_31402,plain,
multiply(iPr_def_15,iPr_def_23) = sk_c10,
inference(superposition,[status(thm)],[c_577,c_15913]) ).
tcf(c_31486,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28486,c_17515]) ).
tcf(c_31488,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_28486,c_5564]) ).
tcf(c_31492,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28486,c_3735]) ).
tcf(c_31493,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28486,c_3734]) ).
tcf(c_31494,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28486,c_3733]) ).
tcf(c_31495,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_23) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_28486,c_12170]) ).
tcf(c_31498,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28486,c_1359]) ).
tcf(c_31499,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28486,c_1358]) ).
tcf(c_31500,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28486,c_1357]) ).
tcf(c_31501,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28486,c_1329]) ).
tcf(c_31502,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28486,c_1328]) ).
tcf(c_31503,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28486,c_1327]) ).
tcf(c_31504,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28486,c_1305]) ).
tcf(c_31505,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28486,c_1304]) ).
tcf(c_31506,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28486,c_1303]) ).
tcf(c_31507,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28486,c_1281]) ).
tcf(c_31508,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28486,c_1280]) ).
tcf(c_31509,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28486,c_1279]) ).
tcf(c_31510,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28486,c_1203]) ).
tcf(c_31511,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28486,c_1202]) ).
tcf(c_31512,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28486,c_1201]) ).
tcf(c_31513,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_28486,c_5374]) ).
tcf(c_31608,plain,
( ( iPr_def_16 = sk_c8 )
| ( iPr_def_16 != iPr_def_16 )
| ( sk_c8 != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_8460]) ).
tcf(c_31663,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_5401,c_14868]) ).
tcf(c_31664,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_20,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5401,c_100]) ).
tcf(c_31665,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_31663,c_15097]) ).
tcf(c_31679,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_5402,c_14868]) ).
tcf(c_31680,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5402,c_100]) ).
tcf(c_31681,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_31679,c_15097]) ).
tcf(c_31763,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22642,c_25284]) ).
tcf(c_31764,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20906,c_25284]) ).
tcf(c_31765,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19580,c_25284]) ).
tcf(c_31766,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18938,c_25284]) ).
tcf(c_31767,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17395,c_25284]) ).
tcf(c_31768,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_16277,c_25284]) ).
tcf(c_31769,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11120,c_25284]) ).
tcf(c_31770,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3980,c_25284]) ).
tcf(c_31771,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3902,c_25284]) ).
tcf(c_31772,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25284,c_14868]) ).
tcf(c_31774,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_25284,c_2927]) ).
tcf(c_31777,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_31774,c_12170]) ).
tcf(c_31867,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_22),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_25506,c_14868]) ).
tcf(c_31888,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25507,c_14868]) ).
tcf(c_31890,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25507,c_2942]) ).
tcf(c_31949,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22642,c_26422]) ).
tcf(c_31950,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20906,c_26422]) ).
tcf(c_31951,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19580,c_26422]) ).
tcf(c_31952,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18938,c_26422]) ).
tcf(c_31953,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17395,c_26422]) ).
tcf(c_31954,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_16277,c_26422]) ).
tcf(c_31955,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11120,c_26422]) ).
tcf(c_31956,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3980,c_26422]) ).
tcf(c_31957,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3902,c_26422]) ).
tcf(c_31958,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26422,c_14868]) ).
tcf(c_31960,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_26422,c_2927]) ).
tcf(c_31963,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_31960,c_12170]) ).
tcf(c_32077,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28510,c_12415]) ).
tcf(c_32079,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_28510,c_5123]) ).
tcf(c_32081,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_7259]) ).
tcf(c_32082,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_7255]) ).
tcf(c_32083,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_7184]) ).
tcf(c_32084,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_7180]) ).
tcf(c_32085,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_6853]) ).
tcf(c_32086,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_6849]) ).
tcf(c_32087,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_6429]) ).
tcf(c_32088,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_6425]) ).
tcf(c_32089,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_1139]) ).
tcf(c_32092,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_1082]) ).
tcf(c_32093,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_1081]) ).
tcf(c_32094,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_1080]) ).
tcf(c_32095,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28510,c_1079]) ).
tcf(c_32096,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28510,c_5120]) ).
tcf(c_32265,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_28667,c_5123]) ).
tcf(c_32267,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_7259]) ).
tcf(c_32268,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_7255]) ).
tcf(c_32269,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_7184]) ).
tcf(c_32270,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_7180]) ).
tcf(c_32271,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_6853]) ).
tcf(c_32272,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_6849]) ).
tcf(c_32273,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_6429]) ).
tcf(c_32274,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_6425]) ).
tcf(c_32275,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_1139]) ).
tcf(c_32278,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_1082]) ).
tcf(c_32279,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_1081]) ).
tcf(c_32280,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_1080]) ).
tcf(c_32281,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28667,c_1079]) ).
tcf(c_32282,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28667,c_5120]) ).
tcf(c_32521,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_28896,c_5123]) ).
tcf(c_32523,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_7259]) ).
tcf(c_32524,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_7255]) ).
tcf(c_32525,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_7184]) ).
tcf(c_32526,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_7180]) ).
tcf(c_32527,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_6853]) ).
tcf(c_32528,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_6849]) ).
tcf(c_32529,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_6429]) ).
tcf(c_32530,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_6425]) ).
tcf(c_32531,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_1139]) ).
tcf(c_32534,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_1082]) ).
tcf(c_32535,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_1081]) ).
tcf(c_32536,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_1080]) ).
tcf(c_32537,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28896,c_1079]) ).
tcf(c_32538,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28896,c_5120]) ).
tcf(c_32659,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_29411,c_5123]) ).
tcf(c_32661,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_7259]) ).
tcf(c_32662,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_7255]) ).
tcf(c_32663,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_7184]) ).
tcf(c_32664,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_7180]) ).
tcf(c_32665,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_6853]) ).
tcf(c_32666,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_6849]) ).
tcf(c_32667,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_6429]) ).
tcf(c_32668,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_6425]) ).
tcf(c_32669,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_1139]) ).
tcf(c_32672,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_1082]) ).
tcf(c_32673,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_1081]) ).
tcf(c_32674,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_1080]) ).
tcf(c_32675,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29411,c_1079]) ).
tcf(c_32676,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_29411,c_5120]) ).
tcf(c_32843,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24880,c_24214]) ).
tcf(c_32845,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_24880,c_17478]) ).
tcf(c_32846,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_24880,c_2925]) ).
tcf(c_32847,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_24880,c_2923]) ).
tcf(c_32848,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_24880,c_2921]) ).
tcf(c_32862,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24880,c_1239]) ).
tcf(c_32869,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24880,c_579]) ).
tcf(c_32870,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24880,c_575]) ).
tcf(c_32871,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24880,c_572]) ).
tcf(c_32975,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_14,sk_c5) ) ),
inference(superposition,[status(thm)],[c_1105,c_5354]) ).
tcf(c_32976,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c5,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_2945,c_5354]) ).
tcf(c_32977,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,sk_c8) = multiply(iPr_def_14,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_5211,c_5354]) ).
tcf(c_32978,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_14,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_5362,c_5354]) ).
tcf(c_32982,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_14,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_5354]) ).
tcf(c_32983,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5354,c_14868]) ).
tcf(c_32984,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_19,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_5354,c_100]) ).
tcf(c_32985,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5354,c_2944]) ).
tcf(c_32988,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_20) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_32977,c_568]) ).
tcf(c_32993,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_32985,c_5201]) ).
tcf(c_32999,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_20,X0)) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_32978,c_2924]) ).
tcf(c_33118,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22642,c_26546]) ).
tcf(c_33121,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18938,c_26546]) ).
tcf(c_33123,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_16277,c_26546]) ).
tcf(c_33124,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11120,c_26546]) ).
tcf(c_33125,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3980,c_26546]) ).
tcf(c_33127,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26546,c_14868]) ).
tcf(c_33129,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_26546,c_2927]) ).
tcf(c_33132,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_33129,c_12170]) ).
tcf(c_33372,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22642,c_26788]) ).
tcf(c_33375,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18938,c_26788]) ).
tcf(c_33377,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_16277,c_26788]) ).
tcf(c_33378,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11120,c_26788]) ).
tcf(c_33379,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3980,c_26788]) ).
tcf(c_33381,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26788,c_14868]) ).
tcf(c_33383,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_26788,c_2927]) ).
tcf(c_33386,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_33383,c_12170]) ).
tcf(c_33432,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_11120,c_26849]) ).
tcf(c_33435,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26849,c_14868]) ).
tcf(c_33436,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_26849,c_100]) ).
tcf(c_33437,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != inverse(iPr_def_25) )
| ( inverse(inverse(iPr_def_25)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26849,c_584]) ).
tcf(c_33438,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_25) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26849,c_582]) ).
tcf(c_33440,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26849,c_3909]) ).
tcf(c_33445,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26849,c_5398]) ).
tcf(c_33446,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26849,c_5397]) ).
tcf(c_33447,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26849,c_5396]) ).
tcf(c_33448,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26849,c_5395]) ).
tcf(c_33449,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_26849,c_5615]) ).
tcf(c_33522,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_21),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_26965,c_14868]) ).
tcf(c_33525,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_22,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_26965,c_5372]) ).
tcf(c_33536,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_30693,c_5123]) ).
tcf(c_33538,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_7259]) ).
tcf(c_33539,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_7255]) ).
tcf(c_33540,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_7184]) ).
tcf(c_33541,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_7180]) ).
tcf(c_33542,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_6853]) ).
tcf(c_33543,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_6849]) ).
tcf(c_33544,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_6429]) ).
tcf(c_33545,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_6425]) ).
tcf(c_33546,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_1139]) ).
tcf(c_33549,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_1082]) ).
tcf(c_33551,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30693,c_1080]) ).
tcf(c_33553,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_30693,c_5120]) ).
tcf(c_33598,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_30942,c_5123]) ).
tcf(c_33600,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_7259]) ).
tcf(c_33601,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_7255]) ).
tcf(c_33602,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_7184]) ).
tcf(c_33603,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_7180]) ).
tcf(c_33604,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_6853]) ).
tcf(c_33605,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_6849]) ).
tcf(c_33606,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_6429]) ).
tcf(c_33607,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_6425]) ).
tcf(c_33608,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_1139]) ).
tcf(c_33611,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_1082]) ).
tcf(c_33613,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30942,c_1080]) ).
tcf(c_33615,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_30942,c_5120]) ).
tcf(c_33660,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_31259,c_5123]) ).
tcf(c_33662,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_7259]) ).
tcf(c_33663,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_7255]) ).
tcf(c_33664,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_7184]) ).
tcf(c_33665,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_7180]) ).
tcf(c_33666,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_6853]) ).
tcf(c_33667,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_6849]) ).
tcf(c_33668,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_6429]) ).
tcf(c_33669,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_6425]) ).
tcf(c_33670,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_1139]) ).
tcf(c_33673,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_1082]) ).
tcf(c_33675,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31259,c_1080]) ).
tcf(c_33677,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_31259,c_5120]) ).
tcf(c_33800,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33440,c_16805]) ).
tcf(c_33801,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_11139]) ).
tcf(c_33807,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_4097]) ).
tcf(c_33809,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_3909]) ).
tcf(c_33816,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_33440,c_2926]) ).
tcf(c_33817,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_11158]) ).
tcf(c_33819,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_2649]) ).
tcf(c_33820,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_2103]) ).
tcf(c_33821,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_2028]) ).
tcf(c_33822,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_1958]) ).
tcf(c_33823,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_1844]) ).
tcf(c_33824,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_1646]) ).
tcf(c_33825,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_1597]) ).
tcf(c_33826,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_1555]) ).
tcf(c_33827,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_1486]) ).
tcf(c_34004,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24885,c_14917]) ).
tcf(c_34005,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24885,c_3818]) ).
tcf(c_34007,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_24885,c_2924]) ).
tcf(c_34008,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_24885,c_2923]) ).
tcf(c_34009,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_24885,c_2922]) ).
tcf(c_34025,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24885,c_574]) ).
tcf(c_34026,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24885,c_572]) ).
tcf(c_34027,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24885,c_568]) ).
tcf(c_34158,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_24887,c_24885]) ).
tcf(c_34198,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26966,c_14868]) ).
tcf(c_34200,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26966,c_2942]) ).
tcf(c_34230,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_27326,c_14868]) ).
tcf(c_34233,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c8,sk_c3) = multiply(iPr_def_19,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_27326,c_5362]) ).
tcf(c_34242,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27327,c_14868]) ).
tcf(c_34244,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27327,c_2942]) ).
tcf(c_34274,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_27707,c_14868]) ).
tcf(c_34286,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33817,c_15984]) ).
tcf(c_34287,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_33817,c_15955]) ).
tcf(c_34314,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_24883]) ).
tcf(c_34315,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34158,c_5398]) ).
tcf(c_34316,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34158,c_5397]) ).
tcf(c_34317,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34158,c_5396]) ).
tcf(c_34318,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34158,c_5395]) ).
tcf(c_34325,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_34158,c_5615]) ).
tcf(c_34326,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_34158,c_3989]) ).
tcf(c_34327,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_34158,c_3987]) ).
tcf(c_34329,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_3988]) ).
tcf(c_34332,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_34158,c_11120]) ).
tcf(c_34333,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_7259]) ).
tcf(c_34334,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_7184]) ).
tcf(c_34335,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_6853]) ).
tcf(c_34336,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_6429]) ).
tcf(c_34337,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_34158,c_1647]) ).
tcf(c_34338,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_1646]) ).
tcf(c_34339,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_34158,c_1645]) ).
tcf(c_34340,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_34158,c_1598]) ).
tcf(c_34341,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_1597]) ).
tcf(c_34342,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_34158,c_1596]) ).
tcf(c_34343,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_34158,c_1556]) ).
tcf(c_34344,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_1555]) ).
tcf(c_34345,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_34158,c_1554]) ).
tcf(c_34346,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_34158,c_1487]) ).
tcf(c_34347,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_1486]) ).
tcf(c_34348,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_34158,c_1485]) ).
tcf(c_34349,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34158,c_3991]) ).
tcf(c_34351,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_34158,c_3980]) ).
tcf(c_34352,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34158,c_1649]) ).
tcf(c_34353,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34158,c_1600]) ).
tcf(c_34354,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34158,c_1558]) ).
tcf(c_34355,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34158,c_1489]) ).
tcf(c_34357,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34158,c_5612]) ).
tcf(c_34460,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_34351,c_5123]) ).
tcf(c_34462,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_7259]) ).
tcf(c_34463,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_7255]) ).
tcf(c_34464,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_7184]) ).
tcf(c_34465,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_7180]) ).
tcf(c_34466,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_6853]) ).
tcf(c_34467,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_6849]) ).
tcf(c_34468,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_6429]) ).
tcf(c_34469,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_6425]) ).
tcf(c_34470,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_1139]) ).
tcf(c_34473,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_1082]) ).
tcf(c_34475,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34351,c_1080]) ).
tcf(c_34477,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34351,c_5120]) ).
tcf(c_34523,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_24369,c_15097]) ).
tcf(c_34524,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_24215,c_15097]) ).
tcf(c_34525,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_13)),multiply(sk_c10,X0)) = X0,
inference(superposition,[status(thm)],[c_15097,c_14868]) ).
tcf(c_34526,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_13),multiply(X0,X1)) = multiply(multiply(sk_c10,X0),X1),
inference(superposition,[status(thm)],[c_15097,c_100]) ).
tcf(c_34527,plain,
multiply(sk_c10,iPr_def_13) = identity,
inference(superposition,[status(thm)],[c_15097,c_99]) ).
tcf(c_34528,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(inverse(inverse(iPr_def_13))) != inverse(X0) )
| ( multiply(sk_c10,inverse(X0)) != inverse(inverse(iPr_def_13)) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15097,c_584]) ).
tcf(c_34529,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_13)) != sk_c10 )
| ( multiply(sk_c10,multiply(sk_c10,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_15097,c_582]) ).
tcf(c_34530,plain,
! [X0: $i] : multiply(sk_c10,multiply(iPr_def_13,X0)) = X0,
inference(superposition,[status(thm)],[c_15097,c_14868]) ).
tcf(c_34531,plain,
multiply(sk_c10,identity) = inverse(iPr_def_13),
inference(superposition,[status(thm)],[c_15097,c_15955]) ).
tcf(c_34574,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,identity) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_1104,c_5375]) ).
tcf(c_34575,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c4,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2946,c_5375]) ).
tcf(c_34576,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_5364,c_5375]) ).
tcf(c_34577,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_5372,c_5375]) ).
tcf(c_34579,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_5375,c_14868]) ).
tcf(c_34580,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_22,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5375,c_100]) ).
tcf(c_34587,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_22,X0) ) ),
inference(light_normalisation,[status(thm)],[c_34579,c_15097]) ).
tcf(c_34601,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_18,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_26791,c_34527]) ).
tcf(c_34602,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_26547,c_34527]) ).
tcf(c_34603,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_26421,c_34527]) ).
tcf(c_34604,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_22,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_25282,c_34527]) ).
tcf(c_34605,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_10242,c_34527]) ).
tcf(c_34618,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_2098,c_34527]) ).
tcf(c_34619,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_2024,c_34527]) ).
tcf(c_34620,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_1955,c_34527]) ).
tcf(c_34622,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_1842,c_34527]) ).
tcf(c_34624,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_1526,c_34527]) ).
tcf(c_34625,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_1460,c_34527]) ).
tcf(c_34626,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_986,c_34527]) ).
tcf(c_34627,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_985,c_34527]) ).
tcf(c_34628,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_984,c_34527]) ).
tcf(c_34629,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_950,c_34527]) ).
tcf(c_34630,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_949,c_34527]) ).
tcf(c_34631,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_939,c_34527]) ).
tcf(c_34632,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_931,c_34527]) ).
tcf(c_34633,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_919,c_34527]) ).
tcf(c_34638,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_620,c_34527]) ).
tcf(c_34639,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_619,c_34527]) ).
tcf(c_34640,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_618,c_34527]) ).
tcf(c_34641,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_616,c_34527]) ).
tcf(c_34642,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_593,c_34527]) ).
tcf(c_34643,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_592,c_34527]) ).
tcf(c_34644,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_591,c_34527]) ).
tcf(c_34645,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_589,c_34527]) ).
tcf(c_34646,plain,
multiply(inverse(sk_c10),identity) = iPr_def_13,
inference(superposition,[status(thm)],[c_34527,c_14868]) ).
tcf(c_34647,plain,
! [X0: $i] : multiply(sk_c10,multiply(iPr_def_13,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_34527,c_100]) ).
tcf(c_34648,plain,
multiply(sk_c2,identity) = multiply(iPr_def_23,iPr_def_13),
inference(superposition,[status(thm)],[c_34527,c_2927]) ).
tcf(c_34649,plain,
multiply(iPr_def_13,identity) = iPr_def_13,
inference(superposition,[status(thm)],[c_34527,c_2947]) ).
tcf(c_34892,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27708,c_14868]) ).
tcf(c_34894,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27708,c_2942]) ).
tcf(c_34902,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_34158,c_34638]) ).
tcf(c_34903,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27658,c_34638]) ).
tcf(c_34904,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_34638]) ).
tcf(c_34905,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27656,c_34638]) ).
tcf(c_34906,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27277,c_34638]) ).
tcf(c_34907,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27276,c_34638]) ).
tcf(c_34908,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_26916,c_34638]) ).
tcf(c_34909,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_25051,c_34638]) ).
tcf(c_34910,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_22642,c_34638]) ).
tcf(c_34911,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_20906,c_34638]) ).
tcf(c_34912,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_19580,c_34638]) ).
tcf(c_34913,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_18938,c_34638]) ).
tcf(c_34914,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_17395,c_34638]) ).
tcf(c_34915,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_16277,c_34638]) ).
tcf(c_34916,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_11120,c_34638]) ).
tcf(c_34917,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_3980,c_34638]) ).
tcf(c_34918,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_3902,c_34638]) ).
tcf(c_34919,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34638,c_14868]) ).
tcf(c_34920,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_34638,c_100]) ).
tcf(c_34921,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_34638,c_26849]) ).
tcf(c_34922,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34638,c_5398]) ).
tcf(c_34923,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34638,c_5397]) ).
tcf(c_34924,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34638,c_5396]) ).
tcf(c_34925,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34638,c_5395]) ).
tcf(c_34926,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c9,iPr_def_13) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_34638,c_5615]) ).
tcf(c_34934,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_34920,c_98]) ).
tcf(c_35305,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_34158,c_34639]) ).
tcf(c_35306,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27658,c_34639]) ).
tcf(c_35307,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_34639]) ).
tcf(c_35308,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27656,c_34639]) ).
tcf(c_35309,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27277,c_34639]) ).
tcf(c_35310,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27276,c_34639]) ).
tcf(c_35311,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_26916,c_34639]) ).
tcf(c_35312,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_25051,c_34639]) ).
tcf(c_35313,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_22642,c_34639]) ).
tcf(c_35314,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_20906,c_34639]) ).
tcf(c_35315,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_19580,c_34639]) ).
tcf(c_35316,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_18938,c_34639]) ).
tcf(c_35317,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_17395,c_34639]) ).
tcf(c_35318,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_16277,c_34639]) ).
tcf(c_35319,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_11120,c_34639]) ).
tcf(c_35320,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_3980,c_34639]) ).
tcf(c_35321,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_3902,c_34639]) ).
tcf(c_35322,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34639,c_14868]) ).
tcf(c_35323,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_34639,c_100]) ).
tcf(c_35324,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_34639,c_26849]) ).
tcf(c_35325,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34639,c_5398]) ).
tcf(c_35326,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34639,c_5397]) ).
tcf(c_35327,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34639,c_5396]) ).
tcf(c_35329,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_13) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_34639,c_5615]) ).
tcf(c_35337,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_35323,c_98]) ).
tcf(c_35515,plain,
inverse(iPr_def_13) = sk_c10,
inference(demodulation,[status(thm)],[c_34531,c_15955]) ).
tcf(c_35525,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(iPr_def_13,inverse(iPr_def_13)) != sk_c10 )
| ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_35515,c_584]) ).
tcf(c_35526,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( sk_c10 != identity )
| ( multiply(sk_c10,sk_c9) != sk_c10 )
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_35525,c_1103,c_35515]) ).
tcf(c_35533,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26791,c_34530]) ).
tcf(c_35534,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26547,c_34530]) ).
tcf(c_35535,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26421,c_34530]) ).
tcf(c_35536,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25282,c_34530]) ).
tcf(c_35537,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10242,c_34530]) ).
tcf(c_35550,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2098,c_34530]) ).
tcf(c_35551,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2024,c_34530]) ).
tcf(c_35552,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1955,c_34530]) ).
tcf(c_35554,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1842,c_34530]) ).
tcf(c_35556,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1526,c_34530]) ).
tcf(c_35557,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1460,c_34530]) ).
tcf(c_35558,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_986,c_34530]) ).
tcf(c_35559,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_985,c_34530]) ).
tcf(c_35560,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_984,c_34530]) ).
tcf(c_35561,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_950,c_34530]) ).
tcf(c_35562,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_949,c_34530]) ).
tcf(c_35563,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_939,c_34530]) ).
tcf(c_35564,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_931,c_34530]) ).
tcf(c_35565,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_919,c_34530]) ).
tcf(c_35572,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_618,c_34530]) ).
tcf(c_35573,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_616,c_34530]) ).
tcf(c_35574,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_593,c_34530]) ).
tcf(c_35575,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_592,c_34530]) ).
tcf(c_35576,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_591,c_34530]) ).
tcf(c_35577,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_589,c_34530]) ).
tcf(c_35579,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c10,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4999,c_34530]) ).
tcf(c_35580,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1109,c_34530]) ).
tcf(c_35581,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c10,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4815,c_34530]) ).
tcf(c_35582,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1110,c_34530]) ).
tcf(c_35583,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c10,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4528,c_34530]) ).
tcf(c_35584,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1111,c_34530]) ).
tcf(c_35585,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c10,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4216,c_34530]) ).
tcf(c_35586,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1112,c_34530]) ).
tcf(c_35587,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3987,c_34530]) ).
tcf(c_35588,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3908,c_34530]) ).
tcf(c_35589,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1645,c_34530]) ).
tcf(c_35590,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1596,c_34530]) ).
tcf(c_35591,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1554,c_34530]) ).
tcf(c_35592,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1485,c_34530]) ).
tcf(c_35593,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4422,c_34530]) ).
tcf(c_35594,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4096,c_34530]) ).
tcf(c_35595,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2102,c_34530]) ).
tcf(c_35596,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2027,c_34530]) ).
tcf(c_35597,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1957,c_34530]) ).
tcf(c_35598,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1843,c_34530]) ).
tcf(c_35599,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24760,c_34530]) ).
tcf(c_35600,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24515,c_34530]) ).
tcf(c_35601,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24472,c_34530]) ).
tcf(c_35602,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24428,c_34530]) ).
tcf(c_35603,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24368,c_34530]) ).
tcf(c_35604,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24214,c_34530]) ).
tcf(c_35605,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3620,c_34530]) ).
tcf(c_35606,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3508,c_34530]) ).
tcf(c_35607,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3389,c_34530]) ).
tcf(c_35608,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3284,c_34530]) ).
tcf(c_35609,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3175,c_34530]) ).
tcf(c_35610,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3033,c_34530]) ).
tcf(c_35611,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2792,c_34530]) ).
tcf(c_35612,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2648,c_34530]) ).
tcf(c_35613,plain,
multiply(sk_c10,sk_c3) = iPr_def_24,
inference(superposition,[status(thm)],[c_5374,c_34530]) ).
tcf(c_35629,plain,
! [X0: $i] : multiply(inverse(sk_c10),X0) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_34530,c_14868]) ).
tcf(c_35630,plain,
! [X0: $i,X1: $i] : multiply(sk_c10,multiply(multiply(iPr_def_13,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_34530,c_100]) ).
tcf(c_35631,plain,
( ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_13) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_34530,c_582]) ).
tcf(c_35632,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_13,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_34530,c_2927]) ).
tcf(c_35752,plain,
( ~ iPr_def_12
| ( sk_c10 != sk_c9 ) ),
inference(ground_joinability,[status(thm)],[c_35631,c_35515]) ).
tcf(c_36119,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1239,c_35752]) ).
tcf(c_36120,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1188,c_35752]) ).
tcf(c_36121,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_630,c_35752]) ).
tcf(c_36122,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_621,c_35752]) ).
tcf(c_36123,plain,
( ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_612,c_35752]) ).
tcf(c_36124,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_611,c_35752]) ).
tcf(c_36125,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_610,c_35752]) ).
tcf(c_36126,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_609,c_35752]) ).
tcf(c_36127,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_607,c_35752]) ).
tcf(c_36128,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_594,c_35752]) ).
tcf(c_36179,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_34158,c_34640]) ).
tcf(c_36180,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27658,c_34640]) ).
tcf(c_36181,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_34640]) ).
tcf(c_36182,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27656,c_34640]) ).
tcf(c_36183,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27277,c_34640]) ).
tcf(c_36184,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27276,c_34640]) ).
tcf(c_36185,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_26916,c_34640]) ).
tcf(c_36186,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_25051,c_34640]) ).
tcf(c_36187,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_22642,c_34640]) ).
tcf(c_36188,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_20906,c_34640]) ).
tcf(c_36189,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_19580,c_34640]) ).
tcf(c_36190,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_18938,c_34640]) ).
tcf(c_36191,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_17395,c_34640]) ).
tcf(c_36192,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_16277,c_34640]) ).
tcf(c_36193,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_11120,c_34640]) ).
tcf(c_36194,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_3980,c_34640]) ).
tcf(c_36195,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_3902,c_34640]) ).
tcf(c_36196,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34640,c_14868]) ).
tcf(c_36197,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_34640,c_100]) ).
tcf(c_36198,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34640,c_26849]) ).
tcf(c_36199,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34640,c_5398]) ).
tcf(c_36200,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34640,c_5397]) ).
tcf(c_36203,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_13) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_34640,c_5615]) ).
tcf(c_36425,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_34158,c_34641]) ).
tcf(c_36426,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27658,c_34641]) ).
tcf(c_36427,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_34641]) ).
tcf(c_36428,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27656,c_34641]) ).
tcf(c_36429,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27277,c_34641]) ).
tcf(c_36430,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_27276,c_34641]) ).
tcf(c_36431,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_26916,c_34641]) ).
tcf(c_36432,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_25051,c_34641]) ).
tcf(c_36433,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_22642,c_34641]) ).
tcf(c_36434,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_20906,c_34641]) ).
tcf(c_36435,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_19580,c_34641]) ).
tcf(c_36436,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_18938,c_34641]) ).
tcf(c_36437,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_17395,c_34641]) ).
tcf(c_36438,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_16277,c_34641]) ).
tcf(c_36439,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_11120,c_34641]) ).
tcf(c_36440,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_3980,c_34641]) ).
tcf(c_36441,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_3902,c_34641]) ).
tcf(c_36442,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_25),identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34641,c_14868]) ).
tcf(c_36443,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_34641,c_100]) ).
tcf(c_36444,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_34641,c_26849]) ).
tcf(c_36445,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34641,c_5398]) ).
tcf(c_36449,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_13) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_34641,c_5615]) ).
tcf(c_36589,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34642,c_14868]) ).
tcf(c_36590,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(iPr_def_13,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_34642,c_100]) ).
tcf(c_36591,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34642,c_5375]) ).
tcf(c_36592,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34642,c_5399]) ).
tcf(c_36600,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34643,c_14868]) ).
tcf(c_36601,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_13,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_34643,c_100]) ).
tcf(c_36603,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,iPr_def_13) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_34643,c_5372]) ).
tcf(c_36613,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34644,c_14868]) ).
tcf(c_36614,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_13,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_34644,c_100]) ).
tcf(c_36616,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_13) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_34644,c_5362]) ).
tcf(c_36626,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34645,c_14868]) ).
tcf(c_36627,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_13,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_34645,c_100]) ).
tcf(c_36638,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26791,c_36121]) ).
tcf(c_36639,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26547,c_36121]) ).
tcf(c_36640,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_36121]) ).
tcf(c_36641,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_36121]) ).
tcf(c_36655,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2098,c_36121]) ).
tcf(c_36656,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2024,c_36121]) ).
tcf(c_36657,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1955,c_36121]) ).
tcf(c_36659,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_36121]) ).
tcf(c_36663,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_986,c_36121]) ).
tcf(c_36664,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_985,c_36121]) ).
tcf(c_36665,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_984,c_36121]) ).
tcf(c_36666,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_950,c_36121]) ).
tcf(c_36667,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_949,c_36121]) ).
tcf(c_36668,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_939,c_36121]) ).
tcf(c_36679,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_593,c_36121]) ).
tcf(c_36680,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_592,c_36121]) ).
tcf(c_36681,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_591,c_36121]) ).
tcf(c_36682,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_589,c_36121]) ).
tcf(c_36783,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26791,c_36122]) ).
tcf(c_36784,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26547,c_36122]) ).
tcf(c_36785,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26421,c_36122]) ).
tcf(c_36786,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25282,c_36122]) ).
tcf(c_36800,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2098,c_36122]) ).
tcf(c_36801,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2024,c_36122]) ).
tcf(c_36802,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1955,c_36122]) ).
tcf(c_36804,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1842,c_36122]) ).
tcf(c_36808,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_986,c_36122]) ).
tcf(c_36809,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_985,c_36122]) ).
tcf(c_36810,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_984,c_36122]) ).
tcf(c_36811,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_950,c_36122]) ).
tcf(c_36812,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_949,c_36122]) ).
tcf(c_36813,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_939,c_36122]) ).
tcf(c_36824,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_593,c_36122]) ).
tcf(c_36825,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_592,c_36122]) ).
tcf(c_36826,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_591,c_36122]) ).
tcf(c_36827,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_589,c_36122]) ).
tcf(c_37056,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_5376,c_14868]) ).
tcf(c_37057,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_21,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5376,c_100]) ).
tcf(c_37058,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_5376,c_34530]) ).
tcf(c_37103,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_18 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26791,c_36123]) ).
tcf(c_37104,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_20 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26547,c_36123]) ).
tcf(c_37105,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_21 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26421,c_36123]) ).
tcf(c_37106,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25282,c_36123]) ).
tcf(c_37107,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_10242,c_36123]) ).
tcf(c_37120,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2098,c_36123]) ).
tcf(c_37121,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_21 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2024,c_36123]) ).
tcf(c_37122,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_20 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1955,c_36123]) ).
tcf(c_37123,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1901,c_36123]) ).
tcf(c_37124,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_18 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1842,c_36123]) ).
tcf(c_37126,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1526,c_36123]) ).
tcf(c_37128,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_36123]) ).
tcf(c_37129,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_36123]) ).
tcf(c_37130,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_36123]) ).
tcf(c_37131,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_36123]) ).
tcf(c_37132,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_36123]) ).
tcf(c_37133,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_36123]) ).
tcf(c_37134,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_36123]) ).
tcf(c_37136,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_629,c_36123]) ).
tcf(c_37137,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_628,c_36123]) ).
tcf(c_37138,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_627,c_36123]) ).
tcf(c_37139,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_625,c_36123]) ).
tcf(c_37140,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_36123]) ).
tcf(c_37141,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_36123]) ).
tcf(c_37142,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_36123]) ).
tcf(c_37143,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_36123]) ).
tcf(c_37396,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_10242,c_36124]) ).
tcf(c_37417,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_36124]) ).
tcf(c_37418,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_36124]) ).
tcf(c_37419,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_36124]) ).
tcf(c_37420,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_36124]) ).
tcf(c_37421,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_36124]) ).
tcf(c_37422,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_36124]) ).
tcf(c_37423,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_36124]) ).
tcf(c_37425,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_629,c_36124]) ).
tcf(c_37426,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_628,c_36124]) ).
tcf(c_37427,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_627,c_36124]) ).
tcf(c_37428,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_625,c_36124]) ).
tcf(c_37429,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_36124]) ).
tcf(c_37430,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_36124]) ).
tcf(c_37431,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_36124]) ).
tcf(c_37432,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_36124]) ).
tcf(c_37806,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_10242,c_36125]) ).
tcf(c_37827,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_36125]) ).
tcf(c_37828,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_36125]) ).
tcf(c_37829,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_36125]) ).
tcf(c_37830,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_36125]) ).
tcf(c_37831,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_36125]) ).
tcf(c_37832,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_36125]) ).
tcf(c_37833,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_36125]) ).
tcf(c_37836,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_628,c_36125]) ).
tcf(c_37837,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_627,c_36125]) ).
tcf(c_37838,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_625,c_36125]) ).
tcf(c_37840,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_36125]) ).
tcf(c_37841,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_36125]) ).
tcf(c_37842,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_36125]) ).
tcf(c_37932,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_10242,c_36126]) ).
tcf(c_37953,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_36126]) ).
tcf(c_37954,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_36126]) ).
tcf(c_37955,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_36126]) ).
tcf(c_37956,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_36126]) ).
tcf(c_37957,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_36126]) ).
tcf(c_37958,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_36126]) ).
tcf(c_37959,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_36126]) ).
tcf(c_37963,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_627,c_36126]) ).
tcf(c_37964,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_625,c_36126]) ).
tcf(c_37967,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_36126]) ).
tcf(c_37968,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_36126]) ).
tcf(c_38018,plain,
multiply(iPr_def_23,iPr_def_13) = sk_c2,
inference(demodulation,[status(thm)],[c_34648,c_15955]) ).
tcf(c_38020,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_34351,c_38018]) ).
tcf(c_38021,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_31259,c_38018]) ).
tcf(c_38022,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_30942,c_38018]) ).
tcf(c_38023,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_30693,c_38018]) ).
tcf(c_38024,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_29411,c_38018]) ).
tcf(c_38025,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_28896,c_38018]) ).
tcf(c_38026,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_28667,c_38018]) ).
tcf(c_38027,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_28510,c_38018]) ).
tcf(c_38028,plain,
multiply(inverse(iPr_def_23),sk_c2) = iPr_def_13,
inference(superposition,[status(thm)],[c_38018,c_14868]) ).
tcf(c_38030,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_38018,c_12415]) ).
tcf(c_38031,plain,
multiply(sk_c10,iPr_def_13) = multiply(iPr_def_15,sk_c2),
inference(superposition,[status(thm)],[c_38018,c_5123]) ).
tcf(c_38070,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34351,c_38028]) ).
tcf(c_38071,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_31259,c_38028]) ).
tcf(c_38072,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_30942,c_38028]) ).
tcf(c_38073,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_30693,c_38028]) ).
tcf(c_38074,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_29411,c_38028]) ).
tcf(c_38075,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_28896,c_38028]) ).
tcf(c_38076,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_28667,c_38028]) ).
tcf(c_38077,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_28510,c_38028]) ).
tcf(c_38078,plain,
multiply(inverse(inverse(iPr_def_23)),iPr_def_13) = sk_c2,
inference(superposition,[status(thm)],[c_38028,c_14868]) ).
tcf(c_38079,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_38028,c_100]) ).
tcf(c_38101,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_38030,c_38028]) ).
tcf(c_38111,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_4098]) ).
tcf(c_38113,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_3910]) ).
tcf(c_38120,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_38030,c_12170]) ).
tcf(c_38121,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_38030,c_2927]) ).
tcf(c_38123,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_2650]) ).
tcf(c_38124,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_2104]) ).
tcf(c_38125,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_2029]) ).
tcf(c_38126,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_1959]) ).
tcf(c_38127,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_1845]) ).
tcf(c_38128,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_1647]) ).
tcf(c_38129,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_1598]) ).
tcf(c_38130,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_1556]) ).
tcf(c_38131,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_1487]) ).
tcf(c_38138,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_577]) ).
tcf(c_38139,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38030,c_569]) ).
tcf(c_38150,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_38120,c_5374]) ).
tcf(c_38205,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_10242,c_36127]) ).
tcf(c_38226,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_986,c_36127]) ).
tcf(c_38227,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_36127]) ).
tcf(c_38228,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_984,c_36127]) ).
tcf(c_38229,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_950,c_36127]) ).
tcf(c_38230,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_949,c_36127]) ).
tcf(c_38231,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_939,c_36127]) ).
tcf(c_38232,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_931,c_36127]) ).
tcf(c_38237,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_625,c_36127]) ).
tcf(c_38241,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_36127]) ).
tcf(c_38330,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_593,c_36128]) ).
tcf(c_38331,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_592,c_36128]) ).
tcf(c_38332,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_591,c_36128]) ).
tcf(c_38333,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_589,c_36128]) ).
tcf(c_38375,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_37429]) ).
tcf(c_38376,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_37429]) ).
tcf(c_38377,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_37429]) ).
tcf(c_38378,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_37429]) ).
tcf(c_38379,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_37429]) ).
tcf(c_38380,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_37429]) ).
tcf(c_38381,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_37429]) ).
tcf(c_38455,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_37840]) ).
tcf(c_38456,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_37840]) ).
tcf(c_38457,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_37840]) ).
tcf(c_38458,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_37840]) ).
tcf(c_38459,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_37840]) ).
tcf(c_38460,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_37840]) ).
tcf(c_38461,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_37840]) ).
tcf(c_38535,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_37967]) ).
tcf(c_38536,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_37967]) ).
tcf(c_38537,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_37967]) ).
tcf(c_38538,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_37967]) ).
tcf(c_38539,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_37967]) ).
tcf(c_38540,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_37967]) ).
tcf(c_38541,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_37967]) ).
tcf(c_38589,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_5377,c_14868]) ).
tcf(c_38590,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_20,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5377,c_100]) ).
tcf(c_38591,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_5377,c_34530]) ).
tcf(c_38605,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_34351,c_38079]) ).
tcf(c_38606,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_31259,c_38079]) ).
tcf(c_38607,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_30942,c_38079]) ).
tcf(c_38608,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_30693,c_38079]) ).
tcf(c_38609,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_29411,c_38079]) ).
tcf(c_38610,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_28896,c_38079]) ).
tcf(c_38611,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_28667,c_38079]) ).
tcf(c_38612,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_28510,c_38079]) ).
tcf(c_38613,plain,
multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,sk_c10),
inference(superposition,[status(thm)],[c_577,c_38079]) ).
tcf(c_38614,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_25507,c_38079]) ).
tcf(c_38615,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_5001,c_38079]) ).
tcf(c_38616,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1063,c_38079]) ).
tcf(c_38617,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_26966,c_38079]) ).
tcf(c_38618,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_4817,c_38079]) ).
tcf(c_38619,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_1064,c_38079]) ).
tcf(c_38620,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_27327,c_38079]) ).
tcf(c_38621,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_4530,c_38079]) ).
tcf(c_38622,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1065,c_38079]) ).
tcf(c_38623,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_27708,c_38079]) ).
tcf(c_38624,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_4218,c_38079]) ).
tcf(c_38625,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_1066,c_38079]) ).
tcf(c_38626,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_3989,c_38079]) ).
tcf(c_38627,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_3910,c_38079]) ).
tcf(c_38628,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1647,c_38079]) ).
tcf(c_38629,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1598,c_38079]) ).
tcf(c_38630,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1556,c_38079]) ).
tcf(c_38631,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_1487,c_38079]) ).
tcf(c_38632,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_4424,c_38079]) ).
tcf(c_38633,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_4098,c_38079]) ).
tcf(c_38634,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_2104,c_38079]) ).
tcf(c_38635,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_2029,c_38079]) ).
tcf(c_38636,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1959,c_38079]) ).
tcf(c_38637,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1845,c_38079]) ).
tcf(c_38638,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_3622,c_38079]) ).
tcf(c_38639,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_3510,c_38079]) ).
tcf(c_38640,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_3391,c_38079]) ).
tcf(c_38641,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_3286,c_38079]) ).
tcf(c_38642,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_3177,c_38079]) ).
tcf(c_38643,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_3035,c_38079]) ).
tcf(c_38644,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_2794,c_38079]) ).
tcf(c_38645,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_2650,c_38079]) ).
tcf(c_38646,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = multiply(iPr_def_13,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_2927,c_38079]) ).
tcf(c_38647,plain,
multiply(inverse(iPr_def_23),multiply(iPr_def_23,sk_c3)) = multiply(iPr_def_13,iPr_def_24),
inference(superposition,[status(thm)],[c_12170,c_38079]) ).
tcf(c_38648,plain,
multiply(inverse(iPr_def_23),sk_c2) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_15955,c_38079]) ).
tcf(c_38649,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_13,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_38030,c_38079]) ).
tcf(c_38650,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_23)),multiply(iPr_def_13,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_38079,c_14868]) ).
tcf(c_38651,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_23),multiply(multiply(sk_c2,X0),X1)) = multiply(multiply(iPr_def_13,X0),X1),
inference(superposition,[status(thm)],[c_38079,c_100]) ).
tcf(c_38653,plain,
multiply(inverse(iPr_def_23),iPr_def_23) = identity,
inference(light_normalisation,[status(thm)],[c_38613,c_1103]) ).
tcf(c_38654,plain,
multiply(inverse(iPr_def_23),multiply(iPr_def_23,sk_c3)) = sk_c3,
inference(light_normalisation,[status(thm)],[c_38647,c_5374]) ).
tcf(c_38655,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_38646,c_2947]) ).
tcf(c_38759,plain,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_19 != iPr_def_19 )
| ( sk_c8 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_8673]) ).
tcf(c_39036,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_38241]) ).
tcf(c_39037,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_38241]) ).
tcf(c_39038,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_38241]) ).
tcf(c_39039,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_38241]) ).
tcf(c_39040,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_38241]) ).
tcf(c_39041,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_38241]) ).
tcf(c_39042,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_38241]) ).
tcf(c_39101,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c4,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_25508,c_15098]) ).
tcf(c_39104,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_22)),multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_15098,c_14868]) ).
tcf(c_39105,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_22),multiply(X0,X1)) = multiply(multiply(sk_c4,X0),X1),
inference(superposition,[status(thm)],[c_15098,c_100]) ).
tcf(c_39106,plain,
multiply(sk_c4,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_15098,c_99]) ).
tcf(c_39107,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(inverse(inverse(iPr_def_22))) != inverse(X0) )
| ( multiply(sk_c4,inverse(X0)) != inverse(inverse(iPr_def_22)) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15098,c_584]) ).
tcf(c_39108,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_22)) != sk_c10 )
| ( multiply(sk_c10,multiply(sk_c4,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_15098,c_582]) ).
tcf(c_39109,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_15098,c_14868]) ).
tcf(c_39110,plain,
multiply(sk_c4,identity) = inverse(iPr_def_22),
inference(superposition,[status(thm)],[c_15098,c_15955]) ).
tcf(c_39237,plain,
multiply(inverse(sk_c4),identity) = iPr_def_22,
inference(superposition,[status(thm)],[c_39106,c_14868]) ).
tcf(c_39238,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_22,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_39106,c_100]) ).
tcf(c_39239,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(superposition,[status(thm)],[c_39106,c_2946]) ).
tcf(c_39242,plain,
inverse(iPr_def_22) = sk_c4,
inference(demodulation,[status(thm)],[c_39110,c_15955]) ).
tcf(c_39244,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c4 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_25508,c_39242]) ).
tcf(c_39245,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c4 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_5002,c_39242]) ).
tcf(c_39246,plain,
( ( sk_c4 = iPr_def_13 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_983,c_39242]) ).
tcf(c_39255,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c10 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_39242,c_584]) ).
tcf(c_39256,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( sk_c10 != iPr_def_21 )
| ( sk_c10 != identity )
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_39255,c_575,c_1104,c_39242]) ).
tcf(c_39263,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_25506,c_39109]) ).
tcf(c_39264,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_5000,c_39109]) ).
tcf(c_39265,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1075,c_39109]) ).
tcf(c_39266,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_1104,c_39109]) ).
tcf(c_39267,plain,
multiply(sk_c4,sk_c9) = iPr_def_21,
inference(superposition,[status(thm)],[c_5364,c_39109]) ).
tcf(c_39270,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34642,c_39109]) ).
tcf(c_39271,plain,
! [X0: $i] : multiply(inverse(sk_c4),X0) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_39109,c_14868]) ).
tcf(c_39272,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(iPr_def_22,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_39109,c_100]) ).
tcf(c_39335,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_1102,c_5378]) ).
tcf(c_39345,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5621,c_5378]) ).
tcf(c_39346,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7255,c_5378]) ).
tcf(c_39347,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7180,c_5378]) ).
tcf(c_39348,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6849,c_5378]) ).
tcf(c_39349,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6425,c_5378]) ).
tcf(c_39357,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11118,c_5378]) ).
tcf(c_39368,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5378,c_14868]) ).
tcf(c_39369,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5378,c_100]) ).
tcf(c_39396,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_13,multiply(sk_c10,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_5403,c_34526,c_35515]) ).
tcf(c_39397,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_26,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_5613,c_23561,c_23929]) ).
tcf(c_39398,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c9),X0) = multiply(iPr_def_20,multiply(sk_c9,X0)),
inference(light_normalisation,[status(thm)],[c_10856,c_10893]) ).
tcf(c_39429,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_39244,c_2921]) ).
tcf(c_39430,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39244,c_2200]) ).
tcf(c_39431,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39244,c_1706]) ).
tcf(c_39432,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39244,c_1358]) ).
tcf(c_39437,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39244,c_1060]) ).
tcf(c_39440,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39244,c_575]) ).
tcf(c_39441,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( inverse(iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_39244,c_576]) ).
tcf(c_39448,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c3 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_39432,c_5374]) ).
tcf(c_39480,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39245,c_2200]) ).
tcf(c_39481,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39245,c_1706]) ).
tcf(c_39482,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39245,c_1358]) ).
tcf(c_39487,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39245,c_1060]) ).
tcf(c_39491,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( inverse(iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_39245,c_576]) ).
tcf(c_39496,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c3 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_39482,c_5374]) ).
tcf(c_39541,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39246,c_1060]) ).
tcf(c_39545,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_39246,c_576]) ).
tcf(c_39574,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_5379,c_14868]) ).
tcf(c_39575,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5379,c_100]) ).
tcf(c_39576,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_5379,c_34530]) ).
tcf(c_39612,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_13),iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_39440,c_14868]) ).
tcf(c_39620,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_39440,c_34530]) ).
tcf(c_39633,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_19)),multiply(sk_c5,X0)) = X0,
inference(superposition,[status(thm)],[c_15099,c_14868]) ).
tcf(c_39634,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_19),multiply(X0,X1)) = multiply(multiply(sk_c5,X0),X1),
inference(superposition,[status(thm)],[c_15099,c_100]) ).
tcf(c_39635,plain,
multiply(sk_c5,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_15099,c_99]) ).
tcf(c_39636,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(inverse(inverse(iPr_def_19))) != inverse(X0) )
| ( multiply(sk_c5,inverse(X0)) != inverse(inverse(iPr_def_19)) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15099,c_584]) ).
tcf(c_39637,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_19)) != sk_c10 )
| ( multiply(sk_c10,multiply(sk_c5,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_15099,c_582]) ).
tcf(c_39638,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_15099,c_14868]) ).
tcf(c_39639,plain,
multiply(sk_c5,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_15099,c_15955]) ).
tcf(c_39648,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_1904,c_39635]) ).
tcf(c_39649,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_1528,c_39635]) ).
tcf(c_39650,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1240,c_39635]) ).
tcf(c_39651,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1054,c_39635]) ).
tcf(c_39669,plain,
( ( sk_c8 = iPr_def_16 )
| ( iPr_def_16 != iPr_def_19 )
| ( sk_c8 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_17260]) ).
tcf(c_39682,plain,
multiply(inverse(sk_c5),identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_39635,c_14868]) ).
tcf(c_39683,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_39635,c_100]) ).
tcf(c_39684,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_39635,c_2945]) ).
tcf(c_39687,plain,
inverse(iPr_def_19) = sk_c5,
inference(demodulation,[status(thm)],[c_39639,c_15955]) ).
tcf(c_39691,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,sk_c5) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c10 )
| ( multiply(inverse(iPr_def_19),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_39687,c_584]) ).
tcf(c_39692,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( sk_c10 != identity )
| ( multiply(sk_c5,sk_c9) != sk_c10 )
| ( multiply(X0,sk_c5) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_39691,c_1105,c_39687]) ).
tcf(c_39699,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1905,c_39638]) ).
tcf(c_39700,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1529,c_39638]) ).
tcf(c_39701,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1241,c_39638]) ).
tcf(c_39702,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1045,c_39638]) ).
tcf(c_39703,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm)],[c_1105,c_39638]) ).
tcf(c_39704,plain,
multiply(sk_c5,sk_c8) = iPr_def_20,
inference(superposition,[status(thm)],[c_5211,c_39638]) ).
tcf(c_39706,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9666,c_39638]) ).
tcf(c_39707,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8957,c_39638]) ).
tcf(c_39708,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6034,c_39638]) ).
tcf(c_39710,plain,
! [X0: $i] : multiply(inverse(sk_c5),X0) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_39638,c_14868]) ).
tcf(c_39711,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_39638,c_100]) ).
tcf(c_39713,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_39708,c_10789]) ).
tcf(c_39716,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_39707,c_10789]) ).
tcf(c_39719,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_39706,c_10789]) ).
tcf(c_39722,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_39702,c_10789]) ).
tcf(c_39725,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_39701,c_10789]) ).
tcf(c_39728,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_39700,c_10789]) ).
tcf(c_39731,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_39699,c_10789]) ).
tcf(c_39753,negated_conjecture,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != sk_c9 ) ),
inference(global_subsumption_just,[status(thm)],[c_581,c_581,c_2287,c_9854,c_10132,c_17471]) ).
tcf(c_39770,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_586,c_588]) ).
tcf(c_39782,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_587,c_590]) ).
tcf(c_40018,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_606,c_604]) ).
tcf(c_40085,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39782,c_578]) ).
tcf(c_40086,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39770,c_578]) ).
tcf(c_40997,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_577,c_100]) ).
tcf(c_41772,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_596,c_40085]) ).
tcf(c_41776,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_41772,c_31402]) ).
tcf(c_41904,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_40018,c_39753]) ).
tcf(c_43184,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_603,c_40086]) ).
tcf(c_43210,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_43184,c_31402]) ).
tcf(c_43602,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_1102,c_5380]) ).
tcf(c_43612,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5621,c_5380]) ).
tcf(c_43613,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7255,c_5380]) ).
tcf(c_43614,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7180,c_5380]) ).
tcf(c_43615,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6849,c_5380]) ).
tcf(c_43616,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6425,c_5380]) ).
tcf(c_43635,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5380,c_14868]) ).
tcf(c_43636,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5380,c_100]) ).
tcf(c_43747,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_39648,c_36123]) ).
tcf(c_43751,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_39648,c_34530]) ).
tcf(c_43752,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_39648,c_34527]) ).
tcf(c_43753,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_26788]) ).
tcf(c_43754,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_26546]) ).
tcf(c_43755,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_26422]) ).
tcf(c_43756,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_25284]) ).
tcf(c_43757,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_25055]) ).
tcf(c_43758,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_24883]) ).
tcf(c_43759,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39648,c_26791]) ).
tcf(c_43760,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39648,c_26547]) ).
tcf(c_43761,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39648,c_26421]) ).
tcf(c_43762,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39648,c_25282]) ).
tcf(c_43763,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_3720]) ).
tcf(c_43764,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_39648,c_2927]) ).
tcf(c_43765,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_39648,c_2926]) ).
tcf(c_43773,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_1139]) ).
tcf(c_43778,plain,
( ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_1082]) ).
tcf(c_43780,plain,
( ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_1080]) ).
tcf(c_43782,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_39648,c_2947]) ).
tcf(c_43783,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39648,c_2098]) ).
tcf(c_43784,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39648,c_2024]) ).
tcf(c_43785,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39648,c_1955]) ).
tcf(c_43786,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39648,c_1842]) ).
tcf(c_43797,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39648,c_582]) ).
tcf(c_43798,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_39648,c_620]) ).
tcf(c_43799,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39648,c_619]) ).
tcf(c_43800,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39648,c_618]) ).
tcf(c_43801,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_39648,c_616]) ).
tcf(c_43802,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_39648,c_1103]) ).
tcf(c_43803,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39648,c_578]) ).
tcf(c_43804,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39648,c_577]) ).
tcf(c_43806,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_39648,c_567]) ).
tcf(c_43810,plain,
( ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_43806,c_23929]) ).
tcf(c_44007,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39649,c_39648]) ).
tcf(c_44013,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39649,c_36123]) ).
tcf(c_44017,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_39649,c_34530]) ).
tcf(c_44018,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_39649,c_34527]) ).
tcf(c_44023,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39649,c_25055]) ).
tcf(c_44024,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39649,c_24883]) ).
tcf(c_44025,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39649,c_26791]) ).
tcf(c_44026,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39649,c_26547]) ).
tcf(c_44027,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39649,c_26421]) ).
tcf(c_44028,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39649,c_25282]) ).
tcf(c_44029,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39649,c_3720]) ).
tcf(c_44030,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_39649,c_2927]) ).
tcf(c_44031,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_39649,c_2926]) ).
tcf(c_44039,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39649,c_1139]) ).
tcf(c_44044,plain,
( ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39649,c_1082]) ).
tcf(c_44046,plain,
( ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39649,c_1080]) ).
tcf(c_44048,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_39649,c_2947]) ).
tcf(c_44049,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39649,c_2098]) ).
tcf(c_44050,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39649,c_2024]) ).
tcf(c_44051,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39649,c_1955]) ).
tcf(c_44053,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39649,c_1842]) ).
tcf(c_44063,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_25,multiply(X0,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39649,c_582]) ).
tcf(c_44068,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_39649,c_1103]) ).
tcf(c_44069,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39649,c_578]) ).
tcf(c_44070,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39649,c_577]) ).
tcf(c_44072,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_39649,c_567]) ).
tcf(c_44186,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39650,c_39440]) ).
tcf(c_44188,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39650,c_35752]) ).
tcf(c_44189,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39650,c_24760]) ).
tcf(c_44190,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39650,c_24515]) ).
tcf(c_44191,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39650,c_24472]) ).
tcf(c_44192,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39650,c_24428]) ).
tcf(c_44193,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39650,c_24368]) ).
tcf(c_44194,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39650,c_24214]) ).
tcf(c_44196,plain,
( iPr_def_12
| iPr_def_11
| ( identity = iPr_def_20 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39650,c_17478]) ).
tcf(c_44197,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_39650,c_2925]) ).
tcf(c_44199,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_39650,c_2923]) ).
tcf(c_44200,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_24,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_39650,c_2921]) ).
tcf(c_44213,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39650,c_579]) ).
tcf(c_44214,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39650,c_575]) ).
tcf(c_44215,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_39650,c_572]) ).
tcf(c_44236,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_44194,c_5374]) ).
tcf(c_44240,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_44193,c_5374]) ).
tcf(c_44248,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_44186,c_5374]) ).
tcf(c_44363,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39651,c_39649]) ).
tcf(c_44364,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39651,c_39648]) ).
tcf(c_44366,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_36127]) ).
tcf(c_44367,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_36126]) ).
tcf(c_44368,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_36125]) ).
tcf(c_44369,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_36124]) ).
tcf(c_44370,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_36123]) ).
tcf(c_44374,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_39651,c_34530]) ).
tcf(c_44375,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_39651,c_34527]) ).
tcf(c_44376,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_26788]) ).
tcf(c_44377,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_26546]) ).
tcf(c_44378,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_26422]) ).
tcf(c_44379,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_25284]) ).
tcf(c_44380,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_25055]) ).
tcf(c_44381,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_24883]) ).
tcf(c_44382,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39651,c_26791]) ).
tcf(c_44383,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39651,c_26547]) ).
tcf(c_44384,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39651,c_26421]) ).
tcf(c_44385,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39651,c_25282]) ).
tcf(c_44386,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_3720]) ).
tcf(c_44387,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_39651,c_2927]) ).
tcf(c_44388,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_39651,c_2926]) ).
tcf(c_44400,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_1139]) ).
tcf(c_44403,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_1132]) ).
tcf(c_44404,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_1125]) ).
tcf(c_44405,plain,
( ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_1082]) ).
tcf(c_44406,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_1081]) ).
tcf(c_44407,plain,
( ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_1080]) ).
tcf(c_44408,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_1079]) ).
tcf(c_44409,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_39651,c_2947]) ).
tcf(c_44410,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39651,c_2098]) ).
tcf(c_44411,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39651,c_2024]) ).
tcf(c_44412,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39651,c_1955]) ).
tcf(c_44414,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39651,c_1842]) ).
tcf(c_44418,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39651,c_582]) ).
tcf(c_44427,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_39651,c_1103]) ).
tcf(c_44428,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39651,c_578]) ).
tcf(c_44429,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_577]) ).
tcf(c_44431,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_39651,c_567]) ).
tcf(c_44477,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_44408,c_5120]) ).
tcf(c_44481,plain,
( ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_44407,c_5120]) ).
tcf(c_44485,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_44406,c_5120]) ).
tcf(c_44489,plain,
( ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_44405,c_5120]) ).
tcf(c_44493,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_44404,c_5120]) ).
tcf(c_44497,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_44403,c_5120]) ).
tcf(c_44501,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_44400,c_5120]) ).
tcf(c_44509,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_44386,c_5120]) ).
tcf(c_44736,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_43810,c_2925]) ).
tcf(c_44739,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_43810,c_1357]) ).
tcf(c_44747,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_43810,c_579]) ).
tcf(c_44748,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_43810,c_580]) ).
tcf(c_44752,plain,
( ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_44739,c_5374]) ).
tcf(c_44836,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44007,c_15984]) ).
tcf(c_44837,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_44007,c_15955]) ).
tcf(c_44838,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_44007,c_11917]) ).
tcf(c_44839,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_44007,c_98]) ).
tcf(c_44884,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44363,c_15984]) ).
tcf(c_44885,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_44363,c_15955]) ).
tcf(c_44887,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_44363,c_98]) ).
tcf(c_44968,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26849,c_5381]) ).
tcf(c_44974,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34641,c_5381]) ).
tcf(c_44975,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34640,c_5381]) ).
tcf(c_44976,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34639,c_5381]) ).
tcf(c_44977,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34638,c_5381]) ).
tcf(c_44978,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34158,c_5381]) ).
tcf(c_44985,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_5381]) ).
tcf(c_44995,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5381,c_14868]) ).
tcf(c_44996,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5381,c_100]) ).
tcf(c_44997,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5381,c_34530]) ).
tcf(c_45019,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34158,c_44072]) ).
tcf(c_45020,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27658,c_44072]) ).
tcf(c_45021,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27657,c_44072]) ).
tcf(c_45022,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27656,c_44072]) ).
tcf(c_45023,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27277,c_44072]) ).
tcf(c_45024,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27276,c_44072]) ).
tcf(c_45025,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_26916,c_44072]) ).
tcf(c_45026,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_25051,c_44072]) ).
tcf(c_45033,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11120,c_44072]) ).
tcf(c_45038,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_44072,c_584]) ).
tcf(c_45160,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c10 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_44431,c_584]) ).
tcf(c_45237,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11118,c_43803]) ).
tcf(c_45248,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_43803]) ).
tcf(c_45255,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_43803]) ).
tcf(c_45271,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_43803,c_14868]) ).
tcf(c_45279,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_43803,c_23565]) ).
tcf(c_45296,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_43804]) ).
tcf(c_45303,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_43804]) ).
tcf(c_45314,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_43804,c_14868]) ).
tcf(c_45316,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_43804,c_38079]) ).
tcf(c_45317,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_43804,c_2942]) ).
tcf(c_45322,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_45303,c_12170]) ).
tcf(c_45345,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44364,c_15984]) ).
tcf(c_45346,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_44364,c_15955]) ).
tcf(c_45348,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_44364,c_98]) ).
tcf(c_45365,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_17)),multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_15100,c_14868]) ).
tcf(c_45366,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_17),multiply(X0,X1)) = multiply(multiply(sk_c7,X0),X1),
inference(superposition,[status(thm)],[c_15100,c_100]) ).
tcf(c_45367,plain,
multiply(sk_c7,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_15100,c_99]) ).
tcf(c_45368,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(inverse(inverse(iPr_def_17))) != inverse(X0) )
| ( multiply(sk_c7,inverse(X0)) != inverse(inverse(iPr_def_17)) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15100,c_584]) ).
tcf(c_45369,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_17)) != sk_c10 )
| ( multiply(sk_c10,multiply(sk_c7,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_15100,c_582]) ).
tcf(c_45370,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_15100,c_14868]) ).
tcf(c_45371,plain,
multiply(sk_c7,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_15100,c_15955]) ).
tcf(c_45391,plain,
multiply(inverse(sk_c7),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_45367,c_14868]) ).
tcf(c_45392,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_45367,c_100]) ).
tcf(c_45393,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_45367,c_2944]) ).
tcf(c_45396,plain,
inverse(iPr_def_17) = sk_c7,
inference(demodulation,[status(thm)],[c_45371,c_15955]) ).
tcf(c_45398,plain,
( ( sk_c7 = iPr_def_16 )
| ( sk_c10 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_1813,c_45396]) ).
tcf(c_45399,plain,
( ( sk_c7 = iPr_def_16 )
| ( sk_c10 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_1463,c_45396]) ).
tcf(c_45400,plain,
( ( sk_c7 = iPr_def_16 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1190,c_45396]) ).
tcf(c_45401,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c7 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1027,c_45396]) ).
tcf(c_45402,plain,
( ( sk_c7 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_964,c_45396]) ).
tcf(c_45415,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c10 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_45396,c_584]) ).
tcf(c_45416,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( sk_c10 != identity )
| ( multiply(sk_c7,sk_c9) != sk_c10 )
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_45415,c_1106,c_45396]) ).
tcf(c_45430,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34158,c_35572]) ).
tcf(c_45431,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27658,c_35572]) ).
tcf(c_45432,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27657,c_35572]) ).
tcf(c_45433,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27656,c_35572]) ).
tcf(c_45434,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27277,c_35572]) ).
tcf(c_45435,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27276,c_35572]) ).
tcf(c_45436,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26916,c_35572]) ).
tcf(c_45437,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_35572]) ).
tcf(c_45438,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22642,c_35572]) ).
tcf(c_45439,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20906,c_35572]) ).
tcf(c_45440,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_19580,c_35572]) ).
tcf(c_45441,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18938,c_35572]) ).
tcf(c_45442,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_17395,c_35572]) ).
tcf(c_45443,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16277,c_35572]) ).
tcf(c_45444,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11120,c_35572]) ).
tcf(c_45445,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3980,c_35572]) ).
tcf(c_45446,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3902,c_35572]) ).
tcf(c_45447,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1103,c_35572]) ).
tcf(c_45456,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3987,c_35572]) ).
tcf(c_45457,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3908,c_35572]) ).
tcf(c_45458,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1645,c_35572]) ).
tcf(c_45459,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1596,c_35572]) ).
tcf(c_45460,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1554,c_35572]) ).
tcf(c_45461,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1485,c_35572]) ).
tcf(c_45466,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1957,c_35572]) ).
tcf(c_45467,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1843,c_35572]) ).
tcf(c_45469,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24760,c_35572]) ).
tcf(c_45470,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24515,c_35572]) ).
tcf(c_45475,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3620,c_35572]) ).
tcf(c_45476,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3508,c_35572]) ).
tcf(c_45477,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3389,c_35572]) ).
tcf(c_45478,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3284,c_35572]) ).
tcf(c_45479,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3175,c_35572]) ).
tcf(c_45480,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3033,c_35572]) ).
tcf(c_45481,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2792,c_35572]) ).
tcf(c_45482,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2648,c_35572]) ).
tcf(c_45493,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5394,c_35572]) ).
tcf(c_45494,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5393,c_35572]) ).
tcf(c_45501,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_35572,c_14868]) ).
tcf(c_45502,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(multiply(iPr_def_13,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_35572,c_100]) ).
tcf(c_45504,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_13,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_35572,c_5615]) ).
tcf(c_45579,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45437,c_35632]) ).
tcf(c_45583,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45436,c_35632]) ).
tcf(c_45587,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45435,c_35632]) ).
tcf(c_45591,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45434,c_35632]) ).
tcf(c_45595,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45433,c_35632]) ).
tcf(c_45599,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45432,c_35632]) ).
tcf(c_45603,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45431,c_35632]) ).
tcf(c_45607,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45430,c_35632]) ).
tcf(c_45975,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( iPr_def_22 != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_45976,plain,
( ( sk_c10 = iPr_def_22 )
| ( iPr_def_22 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_45975]) ).
tcf(c_45982,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34158,c_35573]) ).
tcf(c_45983,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27658,c_35573]) ).
tcf(c_45984,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27657,c_35573]) ).
tcf(c_45985,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27656,c_35573]) ).
tcf(c_45986,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27277,c_35573]) ).
tcf(c_45987,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27276,c_35573]) ).
tcf(c_45988,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26916,c_35573]) ).
tcf(c_45989,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_35573]) ).
tcf(c_45990,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22642,c_35573]) ).
tcf(c_45991,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20906,c_35573]) ).
tcf(c_45992,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_19580,c_35573]) ).
tcf(c_45993,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18938,c_35573]) ).
tcf(c_45994,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_17395,c_35573]) ).
tcf(c_45995,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16277,c_35573]) ).
tcf(c_45996,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11120,c_35573]) ).
tcf(c_45997,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3980,c_35573]) ).
tcf(c_45998,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3902,c_35573]) ).
tcf(c_45999,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1103,c_35573]) ).
tcf(c_46008,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3987,c_35573]) ).
tcf(c_46009,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3908,c_35573]) ).
tcf(c_46010,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1645,c_35573]) ).
tcf(c_46011,plain,
( ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1596,c_35573]) ).
tcf(c_46013,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1485,c_35573]) ).
tcf(c_46019,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1843,c_35573]) ).
tcf(c_46021,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24760,c_35573]) ).
tcf(c_46027,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3620,c_35573]) ).
tcf(c_46028,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3508,c_35573]) ).
tcf(c_46029,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3389,c_35573]) ).
tcf(c_46030,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3284,c_35573]) ).
tcf(c_46031,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3175,c_35573]) ).
tcf(c_46032,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3033,c_35573]) ).
tcf(c_46033,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2792,c_35573]) ).
tcf(c_46034,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2648,c_35573]) ).
tcf(c_46045,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5394,c_35573]) ).
tcf(c_46053,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_35573,c_14868]) ).
tcf(c_46054,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(multiply(iPr_def_13,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_35573,c_100]) ).
tcf(c_46056,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_13,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_35573,c_5615]) ).
tcf(c_46122,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45989,c_35632]) ).
tcf(c_46126,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45988,c_35632]) ).
tcf(c_46130,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45987,c_35632]) ).
tcf(c_46134,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45986,c_35632]) ).
tcf(c_46138,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45985,c_35632]) ).
tcf(c_46142,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45984,c_35632]) ).
tcf(c_46146,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45983,c_35632]) ).
tcf(c_46150,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_45982,c_35632]) ).
tcf(c_46384,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1103,c_35574]) ).
tcf(c_46385,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4999,c_35574]) ).
tcf(c_46386,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1109,c_35574]) ).
tcf(c_46388,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1110,c_35574]) ).
tcf(c_46390,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1111,c_35574]) ).
tcf(c_46392,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1112,c_35574]) ).
tcf(c_46423,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_5400,c_35574]) ).
tcf(c_46425,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_5401,c_35574]) ).
tcf(c_46433,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_5402,c_35574]) ).
tcf(c_46441,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_35574,c_14868]) ).
tcf(c_46442,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(multiply(iPr_def_13,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_35574,c_100]) ).
tcf(c_46508,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1103,c_35575]) ).
tcf(c_46510,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1109,c_35575]) ).
tcf(c_46511,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4815,c_35575]) ).
tcf(c_46512,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1110,c_35575]) ).
tcf(c_46514,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1111,c_35575]) ).
tcf(c_46516,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1112,c_35575]) ).
tcf(c_46529,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_39440,c_35575]) ).
tcf(c_46549,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_5401,c_35575]) ).
tcf(c_46557,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_5402,c_35575]) ).
tcf(c_46565,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_35575,c_14868]) ).
tcf(c_46566,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(multiply(iPr_def_13,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_35575,c_100]) ).
tcf(c_46567,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_13,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_35575,c_5372]) ).
tcf(c_46598,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1103,c_35576]) ).
tcf(c_46600,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1109,c_35576]) ).
tcf(c_46602,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1110,c_35576]) ).
tcf(c_46603,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4528,c_35576]) ).
tcf(c_46604,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1111,c_35576]) ).
tcf(c_46606,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1112,c_35576]) ).
tcf(c_46619,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_39440,c_35576]) ).
tcf(c_46647,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_5402,c_35576]) ).
tcf(c_46655,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_35576,c_14868]) ).
tcf(c_46656,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(multiply(iPr_def_13,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_35576,c_100]) ).
tcf(c_46657,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_35576,c_5362]) ).
tcf(c_46685,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1103,c_35577]) ).
tcf(c_46687,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1109,c_35577]) ).
tcf(c_46689,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1110,c_35577]) ).
tcf(c_46691,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1111,c_35577]) ).
tcf(c_46692,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4216,c_35577]) ).
tcf(c_46693,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1112,c_35577]) ).
tcf(c_46706,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_39440,c_35577]) ).
tcf(c_46742,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_35577,c_14868]) ).
tcf(c_46743,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_13,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_35577,c_100]) ).
tcf(c_46773,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26849,c_5382]) ).
tcf(c_46779,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34641,c_5382]) ).
tcf(c_46780,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34640,c_5382]) ).
tcf(c_46781,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34639,c_5382]) ).
tcf(c_46782,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34638,c_5382]) ).
tcf(c_46790,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_5382]) ).
tcf(c_46800,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5382,c_14868]) ).
tcf(c_46801,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5382,c_100]) ).
tcf(c_46806,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5382,c_34530]) ).
tcf(c_46825,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_44069]) ).
tcf(c_46826,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_44069]) ).
tcf(c_46827,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_44069]) ).
tcf(c_46828,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_44069]) ).
tcf(c_46829,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_44069]) ).
tcf(c_46830,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_44069]) ).
tcf(c_46831,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_44069]) ).
tcf(c_46832,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_44069]) ).
tcf(c_46842,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_44069]) ).
tcf(c_46849,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_44069]) ).
tcf(c_46865,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_44069,c_14868]) ).
tcf(c_46869,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44069,c_26849]) ).
tcf(c_46874,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_44069,c_5615]) ).
tcf(c_46939,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_44070]) ).
tcf(c_46940,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_34158,c_44070]) ).
tcf(c_46941,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27658,c_44070]) ).
tcf(c_46942,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27657,c_44070]) ).
tcf(c_46943,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27656,c_44070]) ).
tcf(c_46944,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27277,c_44070]) ).
tcf(c_46945,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27276,c_44070]) ).
tcf(c_46946,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26916,c_44070]) ).
tcf(c_46947,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25051,c_44070]) ).
tcf(c_46957,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_44070,c_14868]) ).
tcf(c_46959,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_44070,c_38079]) ).
tcf(c_46960,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_44070,c_2942]) ).
tcf(c_47014,plain,
( ( sk_c9 = iPr_def_13 )
| ( iPr_def_13 != inverse(sk_c10) )
| ( sk_c9 != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_3239]) ).
tcf(c_47033,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_43810,c_44213]) ).
tcf(c_47040,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28486,c_44213]) ).
tcf(c_47041,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11128,c_44213]) ).
tcf(c_47042,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44213,c_14868]) ).
tcf(c_47044,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44213,c_2948]) ).
tcf(c_47046,plain,
( ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_47033,c_5374]) ).
tcf(c_47063,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28486,c_44214]) ).
tcf(c_47064,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_11128,c_44214]) ).
tcf(c_47065,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44214,c_14868]) ).
tcf(c_47067,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44214,c_2946]) ).
tcf(c_47076,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm)],[c_1106,c_45370]) ).
tcf(c_47077,plain,
multiply(sk_c7,sk_c8) = iPr_def_14,
inference(superposition,[status(thm)],[c_5198,c_45370]) ).
tcf(c_47080,plain,
! [X0: $i] : multiply(inverse(sk_c7),X0) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_45370,c_14868]) ).
tcf(c_47081,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_45370,c_100]) ).
tcf(c_47110,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_45398,c_5354]) ).
tcf(c_47111,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_45398,c_11416]) ).
tcf(c_47113,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45398,c_1906]) ).
tcf(c_47114,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45398,c_1780]) ).
tcf(c_47115,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45398,c_1530]) ).
tcf(c_47116,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45398,c_1440]) ).
tcf(c_47119,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45398,c_971]) ).
tcf(c_47120,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45398,c_970]) ).
tcf(c_47121,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45398,c_2944]) ).
tcf(c_47122,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_45398,c_1106]) ).
tcf(c_47124,plain,
( ( sk_c10 = iPr_def_26 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45398,c_571]) ).
tcf(c_47183,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_45399,c_5354]) ).
tcf(c_47184,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_45399,c_11416]) ).
tcf(c_47188,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45399,c_1530]) ).
tcf(c_47189,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45399,c_1440]) ).
tcf(c_47192,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45399,c_971]) ).
tcf(c_47193,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45399,c_970]) ).
tcf(c_47194,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45399,c_2944]) ).
tcf(c_47195,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_45399,c_1106]) ).
tcf(c_47197,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45399,c_571]) ).
tcf(c_47948,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,identity) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_1108,c_5383]) ).
tcf(c_47957,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2942,c_5383]) ).
tcf(c_47958,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5120,c_5383]) ).
tcf(c_47959,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_5123,c_5383]) ).
tcf(c_47961,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5383,c_14868]) ).
tcf(c_47962,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5383,c_100]) ).
tcf(c_47967,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5383,c_35573]) ).
tcf(c_47968,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5383,c_35572]) ).
tcf(c_47969,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5383,c_34530]) ).
tcf(c_47970,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_47958,c_1103]) ).
tcf(c_47980,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_47959,c_2947]) ).
tcf(c_48107,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c10 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_47124,c_584]) ).
tcf(c_48130,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c10 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_47197,c_584]) ).
tcf(c_48158,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28486,c_44215]) ).
tcf(c_48159,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_11128,c_44215]) ).
tcf(c_48160,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44215,c_14868]) ).
tcf(c_48162,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_44215,c_2924]) ).
tcf(c_48163,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_44215,c_2922]) ).
tcf(c_48165,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_48163,c_10789]) ).
tcf(c_48168,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_48162,c_11416]) ).
tcf(c_48192,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33440,c_44428]) ).
tcf(c_48199,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11158,c_44428]) ).
tcf(c_48215,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_44428,c_14868]) ).
tcf(c_48260,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_45400,c_5354]) ).
tcf(c_48261,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_45400,c_11416]) ).
tcf(c_48267,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45400,c_1242]) ).
tcf(c_48268,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45400,c_1164]) ).
tcf(c_48269,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45400,c_971]) ).
tcf(c_48270,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45400,c_970]) ).
tcf(c_48271,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45400,c_2944]) ).
tcf(c_48272,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_45400,c_1106]) ).
tcf(c_48274,plain,
( ( sk_c9 = iPr_def_24 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45400,c_571]) ).
tcf(c_48333,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_45401,c_5354]) ).
tcf(c_48334,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_45401,c_11416]) ).
tcf(c_48342,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45401,c_971]) ).
tcf(c_48343,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45401,c_970]) ).
tcf(c_48344,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45401,c_2944]) ).
tcf(c_48345,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_45401,c_1106]) ).
tcf(c_48347,plain,
( ( sk_c3 = iPr_def_23 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45401,c_571]) ).
tcf(c_48374,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_45402,c_5354]) ).
tcf(c_48375,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_45402,c_11416]) ).
tcf(c_48383,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45402,c_971]) ).
tcf(c_48384,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45402,c_970]) ).
tcf(c_48385,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45402,c_2944]) ).
tcf(c_48386,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_45402,c_1106]) ).
tcf(c_48388,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_45402,c_571]) ).
tcf(c_48426,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_47046,c_44428]) ).
tcf(c_48427,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_47046,c_44069]) ).
tcf(c_48430,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_47046,c_27707]) ).
tcf(c_48431,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_47046,c_27326]) ).
tcf(c_48433,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_47046,c_26965]) ).
tcf(c_48434,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_47046,c_25506]) ).
tcf(c_48435,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_47046,c_16805]) ).
tcf(c_48436,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_47046,c_11139]) ).
tcf(c_48451,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_47046,c_2926]) ).
tcf(c_48475,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_47046,c_603]) ).
tcf(c_48476,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_47046,c_602]) ).
tcf(c_48477,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_47046,c_601]) ).
tcf(c_48478,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_47046,c_578]) ).
tcf(c_48479,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_47046,c_600]) ).
tcf(c_48480,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_47046,c_599]) ).
tcf(c_48481,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_47046,c_598]) ).
tcf(c_48482,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_47046,c_596]) ).
tcf(c_48577,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48475,c_39650]) ).
tcf(c_48578,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_48475,c_39440]) ).
tcf(c_48580,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_48475,c_35752]) ).
tcf(c_48588,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48475,c_17478]) ).
tcf(c_48589,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_48475,c_2925]) ).
tcf(c_48590,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_48475,c_2923]) ).
tcf(c_48591,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_48475,c_2921]) ).
tcf(c_48612,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48475,c_579]) ).
tcf(c_48613,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_48475,c_575]) ).
tcf(c_48614,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_48475,c_572]) ).
tcf(c_48733,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48480,c_574]) ).
tcf(c_48743,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_48733,c_39635]) ).
tcf(c_48758,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,identity) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_1108,c_5384]) ).
tcf(c_48768,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2942,c_5384]) ).
tcf(c_48769,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5120,c_5384]) ).
tcf(c_48770,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_5123,c_5384]) ).
tcf(c_48772,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5384,c_14868]) ).
tcf(c_48773,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5384,c_100]) ).
tcf(c_48778,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5384,c_35573]) ).
tcf(c_48779,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5384,c_35572]) ).
tcf(c_48780,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5384,c_34530]) ).
tcf(c_48781,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_48769,c_1103]) ).
tcf(c_48791,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_48770,c_2947]) ).
tcf(c_48861,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48743,c_15984]) ).
tcf(c_48862,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_48743,c_15955]) ).
tcf(c_48863,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48743,c_11917]) ).
tcf(c_48864,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48743,c_98]) ).
tcf(c_48882,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c10 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_48274,c_584]) ).
tcf(c_48922,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c10 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_48347,c_584]) ).
tcf(c_48936,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c10 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_48388,c_584]) ).
tcf(c_48954,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_47970,c_48743]) ).
tcf(c_48957,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_47970,c_44007]) ).
tcf(c_48960,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_47970,c_15984]) ).
tcf(c_48961,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_47970,c_15955]) ).
tcf(c_48984,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_48781,c_48743]) ).
tcf(c_48987,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_48781,c_44007]) ).
tcf(c_48990,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_48781,c_15984]) ).
tcf(c_48991,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_48781,c_15955]) ).
tcf(c_49045,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_16)),multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_15101,c_14868]) ).
tcf(c_49046,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_16),multiply(X0,X1)) = multiply(multiply(sk_c6,X0),X1),
inference(superposition,[status(thm)],[c_15101,c_100]) ).
tcf(c_49047,plain,
multiply(sk_c6,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_15101,c_99]) ).
tcf(c_49048,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(inverse(inverse(iPr_def_16))) != inverse(X0) )
| ( multiply(sk_c6,inverse(X0)) != inverse(inverse(iPr_def_16)) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15101,c_584]) ).
tcf(c_49049,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_16)) != sk_c10 )
| ( multiply(sk_c10,multiply(sk_c6,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_15101,c_582]) ).
tcf(c_49050,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_15101,c_14868]) ).
tcf(c_49051,plain,
multiply(sk_c6,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_15101,c_15955]) ).
tcf(c_49092,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_622,c_49047]) ).
tcf(c_49094,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_613,c_49047]) ).
tcf(c_49096,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_604,c_49047]) ).
tcf(c_49098,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_595,c_49047]) ).
tcf(c_49100,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_586,c_49047]) ).
tcf(c_49101,plain,
multiply(inverse(sk_c6),identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_49047,c_14868]) ).
tcf(c_49102,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_49047,c_100]) ).
tcf(c_49103,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_49047,c_2943]) ).
tcf(c_49129,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49092,c_14868]) ).
tcf(c_49130,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_49092,c_100]) ).
tcf(c_49131,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49092,c_5134]) ).
tcf(c_49132,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49092,c_5132]) ).
tcf(c_49133,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49092,c_5130]) ).
tcf(c_49134,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49092,c_5128]) ).
tcf(c_49135,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49092,c_5126]) ).
tcf(c_49136,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_49092,c_5201]) ).
tcf(c_49141,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_49130,c_98]) ).
tcf(c_49179,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49094,c_14868]) ).
tcf(c_49180,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_49094,c_100]) ).
tcf(c_49181,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49094,c_5134]) ).
tcf(c_49182,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49094,c_5132]) ).
tcf(c_49183,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49094,c_5130]) ).
tcf(c_49184,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49094,c_5128]) ).
tcf(c_49186,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_49094,c_5201]) ).
tcf(c_49191,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_49180,c_98]) ).
tcf(c_49199,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49096,c_14868]) ).
tcf(c_49200,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_49096,c_100]) ).
tcf(c_49201,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49096,c_5134]) ).
tcf(c_49202,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49096,c_5132]) ).
tcf(c_49203,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49096,c_5130]) ).
tcf(c_49206,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_49096,c_5201]) ).
tcf(c_49211,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_49200,c_98]) ).
tcf(c_49254,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49098,c_14868]) ).
tcf(c_49255,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_49098,c_100]) ).
tcf(c_49256,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49098,c_5134]) ).
tcf(c_49257,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49098,c_5132]) ).
tcf(c_49261,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_49098,c_5201]) ).
tcf(c_49266,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_49255,c_98]) ).
tcf(c_49300,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49100,c_14868]) ).
tcf(c_49301,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_49100,c_100]) ).
tcf(c_49302,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49100,c_5134]) ).
tcf(c_49307,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_49100,c_5201]) ).
tcf(c_49312,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_49301,c_98]) ).
tcf(c_49326,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,identity) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_1108,c_5385]) ).
tcf(c_49336,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2942,c_5385]) ).
tcf(c_49337,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5120,c_5385]) ).
tcf(c_49338,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_5123,c_5385]) ).
tcf(c_49340,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5385,c_14868]) ).
tcf(c_49341,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5385,c_100]) ).
tcf(c_49346,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5385,c_35573]) ).
tcf(c_49347,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5385,c_35572]) ).
tcf(c_49348,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5385,c_34530]) ).
tcf(c_49349,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_49337,c_1103]) ).
tcf(c_49359,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_49338,c_2947]) ).
tcf(c_49413,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_38030,c_44429]) ).
tcf(c_49414,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44429,c_14868]) ).
tcf(c_49416,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_44429,c_38079]) ).
tcf(c_49417,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44429,c_2942]) ).
tcf(c_49449,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_44747,c_14868]) ).
tcf(c_49458,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_44747,c_34530]) ).
tcf(c_49499,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_44839,c_14868]) ).
tcf(c_49500,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_44839,c_100]) ).
tcf(c_49501,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_44839,c_584]) ).
tcf(c_49502,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_44839,c_582]) ).
tcf(c_49503,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44839,c_27326]) ).
tcf(c_49504,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44839,c_4529]) ).
tcf(c_49506,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_44839,c_5377]) ).
tcf(c_49508,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_44839,c_5362]) ).
tcf(c_49509,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44839,c_34644]) ).
tcf(c_49511,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_44839,c_35576]) ).
tcf(c_49593,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_44887,c_14868]) ).
tcf(c_49594,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_44887,c_100]) ).
tcf(c_49595,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_44887,c_584]) ).
tcf(c_49596,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_44887,c_582]) ).
tcf(c_49597,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44887,c_27326]) ).
tcf(c_49598,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44887,c_4529]) ).
tcf(c_49599,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c3 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44887,c_1077]) ).
tcf(c_49600,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_44887,c_5377]) ).
tcf(c_49602,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_44887,c_5362]) ).
tcf(c_49603,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44887,c_34644]) ).
tcf(c_49605,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_44887,c_35576]) ).
tcf(c_49776,plain,
inverse(iPr_def_16) = sk_c6,
inference(demodulation,[status(thm)],[c_49051,c_15955]) ).
tcf(c_49778,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_48388,c_49776]) ).
tcf(c_49779,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c6 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_48347,c_49776]) ).
tcf(c_49780,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_48274,c_49776]) ).
tcf(c_49781,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c10 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_47197,c_49776]) ).
tcf(c_49782,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c10 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_47124,c_49776]) ).
tcf(c_49795,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,sk_c6) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c10 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_49776,c_584]) ).
tcf(c_49796,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( sk_c10 != identity )
| ( multiply(sk_c6,sk_c9) != sk_c10 )
| ( multiply(X0,sk_c6) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_49795,c_1107,c_49776]) ).
tcf(c_49813,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1779,c_49050]) ).
tcf(c_49814,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1439,c_49050]) ).
tcf(c_49815,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1163,c_49050]) ).
tcf(c_49816,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1046,c_49050]) ).
tcf(c_49817,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm)],[c_1107,c_49050]) ).
tcf(c_49818,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c6,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1749,c_49050]) ).
tcf(c_49819,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1410,c_49050]) ).
tcf(c_49820,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(sk_c6,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1408,c_49050]) ).
tcf(c_49821,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c6,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1406,c_49050]) ).
tcf(c_49822,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1404,c_49050]) ).
tcf(c_49823,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c6,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1809,c_49050]) ).
tcf(c_49824,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1459,c_49050]) ).
tcf(c_49825,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1409,c_49050]) ).
tcf(c_49826,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(sk_c6,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1407,c_49050]) ).
tcf(c_49827,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c6,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1405,c_49050]) ).
tcf(c_49838,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9344,c_49050]) ).
tcf(c_49839,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8689,c_49050]) ).
tcf(c_49840,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6074,c_49050]) ).
tcf(c_49842,plain,
! [X0: $i] : multiply(inverse(sk_c6),X0) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_49050,c_14868]) ).
tcf(c_49843,plain,
! [X0: $i,X1: $i] : multiply(sk_c6,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_49050,c_100]) ).
tcf(c_50055,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_49349,c_44364]) ).
tcf(c_50056,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_49349,c_44363]) ).
tcf(c_50060,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_49349,c_15984]) ).
tcf(c_50061,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_49349,c_15955]) ).
tcf(c_50220,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_24 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_49504,c_47046]) ).
tcf(c_50225,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_27707]) ).
tcf(c_50226,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_27326]) ).
tcf(c_50227,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_26965]) ).
tcf(c_50228,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_25506]) ).
tcf(c_50229,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_24 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_49504,c_24768]) ).
tcf(c_50230,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_24 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_49504,c_24523]) ).
tcf(c_50231,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_24 = iPr_def_25 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_49504,c_24480]) ).
tcf(c_50232,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_24 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_49504,c_24436]) ).
tcf(c_50234,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_49504,c_24222]) ).
tcf(c_50237,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_5000]) ).
tcf(c_50238,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_4816]) ).
tcf(c_50239,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_4529]) ).
tcf(c_50241,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_4217]) ).
tcf(c_50251,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_49504,c_2926]) ).
tcf(c_50270,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_1078]) ).
tcf(c_50271,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_1077]) ).
tcf(c_50272,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_1076]) ).
tcf(c_50273,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_1075]) ).
tcf(c_50275,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_49504,c_603]) ).
tcf(c_50276,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_49504,c_602]) ).
tcf(c_50277,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_49504,c_601]) ).
tcf(c_50278,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_49504,c_578]) ).
tcf(c_50279,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_49504,c_600]) ).
tcf(c_50280,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_49504,c_599]) ).
tcf(c_50281,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_49504,c_598]) ).
tcf(c_50282,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49504,c_596]) ).
tcf(c_50550,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_44747]) ).
tcf(c_50551,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50275,c_39650]) ).
tcf(c_50552,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_50275,c_39440]) ).
tcf(c_50554,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_50275,c_35752]) ).
tcf(c_50560,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_24214]) ).
tcf(c_50562,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50275,c_17478]) ).
tcf(c_50563,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_50275,c_2925]) ).
tcf(c_50564,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_50275,c_2923]) ).
tcf(c_50565,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_50275,c_2921]) ).
tcf(c_50575,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_50275,c_1241]) ).
tcf(c_50576,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_50275,c_1163]) ).
tcf(c_50579,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50275,c_1239]) ).
tcf(c_50581,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_50275,c_612]) ).
tcf(c_50582,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50275,c_611]) ).
tcf(c_50583,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_50275,c_610]) ).
tcf(c_50584,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50275,c_609]) ).
tcf(c_50585,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_50275,c_607]) ).
tcf(c_50586,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_579]) ).
tcf(c_50587,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_50275,c_575]) ).
tcf(c_50588,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_50275,c_572]) ).
tcf(c_50719,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_50280,c_14917]) ).
tcf(c_50720,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_50280,c_3818]) ).
tcf(c_50722,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_50280,c_2924]) ).
tcf(c_50723,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_50280,c_2923]) ).
tcf(c_50724,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_50280,c_2922]) ).
tcf(c_50740,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50280,c_574]) ).
tcf(c_50741,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_50280,c_572]) ).
tcf(c_50742,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50280,c_568]) ).
tcf(c_50750,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_50740,c_39635]) ).
tcf(c_50758,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_50724,c_39638]) ).
tcf(c_50821,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_50282,c_50280]) ).
tcf(c_50825,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_50282,c_14917]) ).
tcf(c_50828,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_50282,c_2924]) ).
tcf(c_50829,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_50282,c_2923]) ).
tcf(c_50830,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c5,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_50282,c_2922]) ).
tcf(c_50846,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50282,c_574]) ).
tcf(c_50847,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_50282,c_572]) ).
tcf(c_50848,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50282,c_568]) ).
tcf(c_50862,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_50825,c_49776]) ).
tcf(c_50924,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,identity) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_1108,c_5386]) ).
tcf(c_50934,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2942,c_5386]) ).
tcf(c_50935,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5120,c_5386]) ).
tcf(c_50936,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_5123,c_5386]) ).
tcf(c_50938,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5386,c_14868]) ).
tcf(c_50939,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5386,c_100]) ).
tcf(c_50944,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5386,c_35573]) ).
tcf(c_50945,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5386,c_35572]) ).
tcf(c_50946,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5386,c_34530]) ).
tcf(c_50947,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_50935,c_1103]) ).
tcf(c_50957,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_50936,c_2947]) ).
tcf(c_51003,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45348,c_14868]) ).
tcf(c_51004,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_45348,c_100]) ).
tcf(c_51005,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_45348,c_584]) ).
tcf(c_51006,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_45348,c_582]) ).
tcf(c_51007,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_45348,c_27326]) ).
tcf(c_51008,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_45348,c_4529]) ).
tcf(c_51009,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c3 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_45348,c_1077]) ).
tcf(c_51010,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45348,c_5377]) ).
tcf(c_51012,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_45348,c_5362]) ).
tcf(c_51013,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_45348,c_34644]) ).
tcf(c_51015,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_45348,c_35576]) ).
tcf(c_51412,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34158,c_48478]) ).
tcf(c_51413,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27658,c_48478]) ).
tcf(c_51414,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27657,c_48478]) ).
tcf(c_51415,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27656,c_48478]) ).
tcf(c_51416,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27277,c_48478]) ).
tcf(c_51417,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27276,c_48478]) ).
tcf(c_51418,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26916,c_48478]) ).
tcf(c_51419,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_25051,c_48478]) ).
tcf(c_51420,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22642,c_48478]) ).
tcf(c_51421,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20906,c_48478]) ).
tcf(c_51422,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19580,c_48478]) ).
tcf(c_51423,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18938,c_48478]) ).
tcf(c_51424,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17395,c_48478]) ).
tcf(c_51425,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_16277,c_48478]) ).
tcf(c_51426,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11120,c_48478]) ).
tcf(c_51427,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3980,c_48478]) ).
tcf(c_51428,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3902,c_48478]) ).
tcf(c_51429,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48478,c_14868]) ).
tcf(c_51431,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_48478,c_2927]) ).
tcf(c_51434,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_51431,c_12170]) ).
tcf(c_51498,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48864,c_14868]) ).
tcf(c_51499,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_48864,c_100]) ).
tcf(c_51500,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_48864,c_584]) ).
tcf(c_51501,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_48864,c_582]) ).
tcf(c_51502,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_48864,c_27326]) ).
tcf(c_51505,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48864,c_5377]) ).
tcf(c_51507,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_48864,c_5362]) ).
tcf(c_51508,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48864,c_34644]) ).
tcf(c_51510,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_48864,c_35576]) ).
tcf(c_51598,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50278,c_14868]) ).
tcf(c_51600,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_50278,c_2927]) ).
tcf(c_51601,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50278,c_2947]) ).
tcf(c_51604,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_51600,c_12170]) ).
tcf(c_51693,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,identity) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_1108,c_5387]) ).
tcf(c_51703,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2942,c_5387]) ).
tcf(c_51704,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5120,c_5387]) ).
tcf(c_51705,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_5123,c_5387]) ).
tcf(c_51707,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5387,c_14868]) ).
tcf(c_51708,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5387,c_100]) ).
tcf(c_51713,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5387,c_35573]) ).
tcf(c_51714,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5387,c_35572]) ).
tcf(c_51715,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5387,c_34530]) ).
tcf(c_51716,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_51704,c_1103]) ).
tcf(c_51726,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_51705,c_2947]) ).
tcf(c_51767,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34158,c_34934]) ).
tcf(c_51768,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27658,c_34934]) ).
tcf(c_51769,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27657,c_34934]) ).
tcf(c_51770,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27656,c_34934]) ).
tcf(c_51771,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27277,c_34934]) ).
tcf(c_51772,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27276,c_34934]) ).
tcf(c_51773,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26916,c_34934]) ).
tcf(c_51774,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_34934]) ).
tcf(c_51775,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22642,c_34934]) ).
tcf(c_51776,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20906,c_34934]) ).
tcf(c_51777,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_19580,c_34934]) ).
tcf(c_51778,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18938,c_34934]) ).
tcf(c_51779,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_17395,c_34934]) ).
tcf(c_51780,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16277,c_34934]) ).
tcf(c_51781,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11120,c_34934]) ).
tcf(c_51782,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3980,c_34934]) ).
tcf(c_51783,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3902,c_34934]) ).
tcf(c_51784,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1103,c_34934]) ).
tcf(c_51793,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3987,c_34934]) ).
tcf(c_51794,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3908,c_34934]) ).
tcf(c_51795,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1645,c_34934]) ).
tcf(c_51796,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1596,c_34934]) ).
tcf(c_51801,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2102,c_34934]) ).
tcf(c_51802,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2027,c_34934]) ).
tcf(c_51809,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24472,c_34934]) ).
tcf(c_51810,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24428,c_34934]) ).
tcf(c_51813,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3620,c_34934]) ).
tcf(c_51814,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3508,c_34934]) ).
tcf(c_51815,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3389,c_34934]) ).
tcf(c_51816,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3284,c_34934]) ).
tcf(c_51817,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3175,c_34934]) ).
tcf(c_51818,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3033,c_34934]) ).
tcf(c_51819,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2792,c_34934]) ).
tcf(c_51820,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2648,c_34934]) ).
tcf(c_51833,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5392,c_34934]) ).
tcf(c_51834,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5391,c_34934]) ).
tcf(c_51837,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5387,c_34934]) ).
tcf(c_51838,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5386,c_34934]) ).
tcf(c_51839,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5385,c_34934]) ).
tcf(c_51840,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5384,c_34934]) ).
tcf(c_51841,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5383,c_34934]) ).
tcf(c_51844,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_34934,c_14868]) ).
tcf(c_51845,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(multiply(iPr_def_13,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_34934,c_100]) ).
tcf(c_51847,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_13,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_34934,c_5615]) ).
tcf(c_51937,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_51774,c_35632]) ).
tcf(c_51941,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_51773,c_35632]) ).
tcf(c_51945,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_51772,c_35632]) ).
tcf(c_51949,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_51771,c_35632]) ).
tcf(c_51953,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_51770,c_35632]) ).
tcf(c_51957,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_51769,c_35632]) ).
tcf(c_51961,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_51768,c_35632]) ).
tcf(c_51965,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_51767,c_35632]) ).
tcf(c_52148,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34158,c_35337]) ).
tcf(c_52149,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27658,c_35337]) ).
tcf(c_52150,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27657,c_35337]) ).
tcf(c_52151,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27656,c_35337]) ).
tcf(c_52152,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27277,c_35337]) ).
tcf(c_52153,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27276,c_35337]) ).
tcf(c_52154,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26916,c_35337]) ).
tcf(c_52155,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_35337]) ).
tcf(c_52156,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22642,c_35337]) ).
tcf(c_52157,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20906,c_35337]) ).
tcf(c_52158,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_19580,c_35337]) ).
tcf(c_52159,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18938,c_35337]) ).
tcf(c_52160,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_17395,c_35337]) ).
tcf(c_52161,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16277,c_35337]) ).
tcf(c_52162,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_11120,c_35337]) ).
tcf(c_52163,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3980,c_35337]) ).
tcf(c_52164,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3902,c_35337]) ).
tcf(c_52165,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1103,c_35337]) ).
tcf(c_52174,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3987,c_35337]) ).
tcf(c_52175,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3908,c_35337]) ).
tcf(c_52177,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1596,c_35337]) ).
tcf(c_52183,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2027,c_35337]) ).
tcf(c_52190,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24472,c_35337]) ).
tcf(c_52194,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3620,c_35337]) ).
tcf(c_52195,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3508,c_35337]) ).
tcf(c_52196,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3389,c_35337]) ).
tcf(c_52197,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3284,c_35337]) ).
tcf(c_52198,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3175,c_35337]) ).
tcf(c_52199,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3033,c_35337]) ).
tcf(c_52200,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2792,c_35337]) ).
tcf(c_52201,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2648,c_35337]) ).
tcf(c_52214,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5392,c_35337]) ).
tcf(c_52218,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5387,c_35337]) ).
tcf(c_52219,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5386,c_35337]) ).
tcf(c_52220,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5385,c_35337]) ).
tcf(c_52221,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5384,c_35337]) ).
tcf(c_52222,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5383,c_35337]) ).
tcf(c_52225,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_35337,c_14868]) ).
tcf(c_52226,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(multiply(iPr_def_13,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_35337,c_100]) ).
tcf(c_52228,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c9,multiply(iPr_def_13,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_35337,c_5615]) ).
tcf(c_52309,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_52155,c_35632]) ).
tcf(c_52313,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_52154,c_35632]) ).
tcf(c_52317,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_52153,c_35632]) ).
tcf(c_52321,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_52152,c_35632]) ).
tcf(c_52325,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_52151,c_35632]) ).
tcf(c_52329,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_52150,c_35632]) ).
tcf(c_52333,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_52149,c_35632]) ).
tcf(c_52337,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_52148,c_35632]) ).
tcf(c_52384,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_22210]) ).
tcf(c_52385,plain,
( ( sk_c9 = sk_c10 )
| ( sk_c9 != sk_c9 )
| ( sk_c10 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_52384]) ).
tcf(c_52546,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_50947,c_48743]) ).
tcf(c_52549,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_50947,c_44007]) ).
tcf(c_52552,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_50947,c_15984]) ).
tcf(c_52553,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_50947,c_15955]) ).
tcf(c_52607,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51502,c_27707]) ).
tcf(c_52608,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51502,c_27326]) ).
tcf(c_52609,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51502,c_26965]) ).
tcf(c_52610,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51502,c_25506]) ).
tcf(c_52633,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_51502,c_2926]) ).
tcf(c_52652,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51502,c_1078]) ).
tcf(c_52653,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51502,c_1077]) ).
tcf(c_52654,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51502,c_1076]) ).
tcf(c_52655,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51502,c_1075]) ).
tcf(c_52657,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_51502,c_603]) ).
tcf(c_52658,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_51502,c_602]) ).
tcf(c_52659,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_51502,c_601]) ).
tcf(c_52660,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51502,c_578]) ).
tcf(c_52661,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_51502,c_600]) ).
tcf(c_52662,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_51502,c_599]) ).
tcf(c_52663,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_51502,c_598]) ).
tcf(c_52664,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_51502,c_596]) ).
tcf(c_52800,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_51716,c_48743]) ).
tcf(c_52803,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_51716,c_44007]) ).
tcf(c_52806,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_51716,c_15984]) ).
tcf(c_52807,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_51716,c_15955]) ).
tcf(c_52868,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_44747]) ).
tcf(c_52869,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52657,c_39650]) ).
tcf(c_52870,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_52657,c_39440]) ).
tcf(c_52872,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_52657,c_35752]) ).
tcf(c_52878,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_24214]) ).
tcf(c_52880,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_52657,c_17478]) ).
tcf(c_52881,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_52657,c_2925]) ).
tcf(c_52882,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_52657,c_2923]) ).
tcf(c_52883,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_52657,c_2921]) ).
tcf(c_52893,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_52657,c_1241]) ).
tcf(c_52894,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_52657,c_1163]) ).
tcf(c_52897,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_52657,c_1239]) ).
tcf(c_52899,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_52657,c_612]) ).
tcf(c_52900,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_52657,c_611]) ).
tcf(c_52901,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_52657,c_610]) ).
tcf(c_52902,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52657,c_609]) ).
tcf(c_52903,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_52657,c_607]) ).
tcf(c_52904,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_579]) ).
tcf(c_52905,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_52657,c_575]) ).
tcf(c_52906,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_52657,c_572]) ).
tcf(c_53089,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_52662,c_50282]) ).
tcf(c_53093,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_52662,c_14917]) ).
tcf(c_53094,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_52662,c_3818]) ).
tcf(c_53096,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_52662,c_2924]) ).
tcf(c_53097,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_52662,c_2923]) ).
tcf(c_53098,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_52662,c_2922]) ).
tcf(c_53114,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52662,c_574]) ).
tcf(c_53115,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_52662,c_572]) ).
tcf(c_53116,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_52662,c_568]) ).
tcf(c_53124,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_53114,c_39635]) ).
tcf(c_53136,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_53098,c_39638]) ).
tcf(c_53262,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_52664,c_52662]) ).
tcf(c_53267,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_52664,c_14917]) ).
tcf(c_53270,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_52664,c_2924]) ).
tcf(c_53271,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_52664,c_2923]) ).
tcf(c_53272,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c5,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_52664,c_2922]) ).
tcf(c_53288,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52664,c_574]) ).
tcf(c_53289,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_52664,c_572]) ).
tcf(c_53290,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_52664,c_568]) ).
tcf(c_53304,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_53267,c_49776]) ).
tcf(c_53368,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_1108,c_5388]) ).
tcf(c_53378,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2942,c_5388]) ).
tcf(c_53379,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5120,c_5388]) ).
tcf(c_53380,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_5123,c_5388]) ).
tcf(c_53382,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5388,c_14868]) ).
tcf(c_53383,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5388,c_100]) ).
tcf(c_53384,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5388,c_35337]) ).
tcf(c_53385,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5388,c_34934]) ).
tcf(c_53390,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5388,c_35573]) ).
tcf(c_53391,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5388,c_35572]) ).
tcf(c_53392,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5388,c_34530]) ).
tcf(c_53393,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_53379,c_1103]) ).
tcf(c_53403,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_53380,c_2947]) ).
tcf(c_53710,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_52660,c_14868]) ).
tcf(c_53712,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_52660,c_2927]) ).
tcf(c_53713,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_52660,c_2947]) ).
tcf(c_53716,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_53712,c_12170]) ).
tcf(c_53723,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1779,c_49141]) ).
tcf(c_53724,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1439,c_49141]) ).
tcf(c_53726,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1046,c_49141]) ).
tcf(c_53727,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1107,c_49141]) ).
tcf(c_53728,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1749,c_49141]) ).
tcf(c_53729,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1410,c_49141]) ).
tcf(c_53730,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1408,c_49141]) ).
tcf(c_53731,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1406,c_49141]) ).
tcf(c_53732,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1404,c_49141]) ).
tcf(c_53733,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1809,c_49141]) ).
tcf(c_53734,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1459,c_49141]) ).
tcf(c_53735,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1409,c_49141]) ).
tcf(c_53739,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5133,c_49141]) ).
tcf(c_53742,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5127,c_49141]) ).
tcf(c_53743,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5125,c_49141]) ).
tcf(c_53744,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9344,c_49141]) ).
tcf(c_53745,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8689,c_49141]) ).
tcf(c_53746,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6074,c_49141]) ).
tcf(c_53748,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_49141,c_14868]) ).
tcf(c_53749,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_49141,c_100]) ).
tcf(c_53750,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_49141,c_5201]) ).
tcf(c_53829,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_53393,c_48743]) ).
tcf(c_53832,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_53393,c_44007]) ).
tcf(c_53835,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53393,c_15984]) ).
tcf(c_53836,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_53393,c_15955]) ).
tcf(c_53855,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_44431,c_15102]) ).
tcf(c_53862,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2796,c_15102]) ).
tcf(c_53863,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2652,c_15102]) ).
tcf(c_53864,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_15)),multiply(sk_c2,X0)) = X0,
inference(superposition,[status(thm)],[c_15102,c_14868]) ).
tcf(c_53865,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_15),multiply(X0,X1)) = multiply(multiply(sk_c2,X0),X1),
inference(superposition,[status(thm)],[c_15102,c_100]) ).
tcf(c_53866,plain,
multiply(sk_c2,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_15102,c_99]) ).
tcf(c_53867,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(inverse(inverse(iPr_def_15))) != inverse(X0) )
| ( multiply(sk_c2,inverse(X0)) != inverse(inverse(iPr_def_15)) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15102,c_584]) ).
tcf(c_53868,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_15)) != sk_c10 )
| ( multiply(sk_c10,multiply(sk_c2,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_15102,c_582]) ).
tcf(c_53869,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_15102,c_14868]) ).
tcf(c_53870,plain,
multiply(sk_c2,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_15102,c_15955]) ).
tcf(c_53877,plain,
( ~ iPr_def_12
| ( multiply(sk_c10,iPr_def_23) != sk_c9 )
| ( inverse(inverse(iPr_def_15)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_53868,c_577]) ).
tcf(c_53886,plain,
( ( identity = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_44429,c_53866]) ).
tcf(c_53893,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_2794,c_53866]) ).
tcf(c_53921,plain,
multiply(inverse(sk_c2),identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_53866,c_14868]) ).
tcf(c_53922,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_53866,c_100]) ).
tcf(c_53923,plain,
multiply(inverse(iPr_def_23),identity) = multiply(iPr_def_13,iPr_def_15),
inference(superposition,[status(thm)],[c_53866,c_38079]) ).
tcf(c_53924,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_53866,c_2942]) ).
tcf(c_53942,plain,
inverse(iPr_def_15) = sk_c2,
inference(demodulation,[status(thm)],[c_53870,c_15955]) ).
tcf(c_53944,plain,
( ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_44431,c_53942]) ).
tcf(c_53945,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c2 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3624,c_53942]) ).
tcf(c_53946,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3512,c_53942]) ).
tcf(c_53947,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c2 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3393,c_53942]) ).
tcf(c_53948,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3288,c_53942]) ).
tcf(c_53949,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c2 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3179,c_53942]) ).
tcf(c_53950,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3037,c_53942]) ).
tcf(c_53951,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2796,c_53942]) ).
tcf(c_53971,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c10 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_53942,c_584]) ).
tcf(c_53972,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( sk_c10 != identity )
| ( multiply(sk_c2,sk_c9) != sk_c10 )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_53971,c_1108,c_53942]) ).
tcf(c_53983,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,identity) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_1108,c_5389]) ).
tcf(c_53994,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5120,c_5389]) ).
tcf(c_53995,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_5123,c_5389]) ).
tcf(c_53997,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5389,c_14868]) ).
tcf(c_53998,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5389,c_100]) ).
tcf(c_53999,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5389,c_35337]) ).
tcf(c_54000,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5389,c_34934]) ).
tcf(c_54005,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5389,c_35573]) ).
tcf(c_54006,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_5389,c_35572]) ).
tcf(c_54007,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_5389,c_34530]) ).
tcf(c_54014,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_53995,c_2947]) ).
tcf(c_54050,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_53886,c_48743]) ).
tcf(c_54053,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_53886,c_44007]) ).
tcf(c_54056,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53886,c_15984]) ).
tcf(c_54057,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_53886,c_15955]) ).
tcf(c_54058,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_53886,c_98]) ).
tcf(c_54151,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_53893,c_48743]) ).
tcf(c_54154,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_53893,c_44007]) ).
tcf(c_54157,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53893,c_15984]) ).
tcf(c_54158,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_53893,c_15955]) ).
tcf(c_54212,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34351,c_54058]) ).
tcf(c_54213,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31259,c_54058]) ).
tcf(c_54214,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_30942,c_54058]) ).
tcf(c_54215,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_30693,c_54058]) ).
tcf(c_54216,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29411,c_54058]) ).
tcf(c_54217,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28896,c_54058]) ).
tcf(c_54218,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28667,c_54058]) ).
tcf(c_54219,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28510,c_54058]) ).
tcf(c_54220,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_54058,c_14868]) ).
tcf(c_54221,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_54058,c_100]) ).
tcf(c_54222,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != inverse(iPr_def_23) )
| ( inverse(inverse(iPr_def_23)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_54058,c_584]) ).
tcf(c_54223,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(iPr_def_23) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_54058,c_582]) ).
tcf(c_54224,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_54058,c_5123]) ).
tcf(c_54225,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_54058,c_16805]) ).
tcf(c_54406,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1439,c_49191]) ).
tcf(c_54408,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1046,c_49191]) ).
tcf(c_54409,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1107,c_49191]) ).
tcf(c_54411,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1410,c_49191]) ).
tcf(c_54412,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1408,c_49191]) ).
tcf(c_54413,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1406,c_49191]) ).
tcf(c_54414,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1404,c_49191]) ).
tcf(c_54416,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1459,c_49191]) ).
tcf(c_54417,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1409,c_49191]) ).
tcf(c_54421,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5133,c_49191]) ).
tcf(c_54424,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5127,c_49191]) ).
tcf(c_54427,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8689,c_49191]) ).
tcf(c_54428,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6074,c_49191]) ).
tcf(c_54430,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_49191,c_14868]) ).
tcf(c_54431,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_49191,c_100]) ).
tcf(c_54432,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_49191,c_5201]) ).
tcf(c_54503,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_1108,c_53869]) ).
tcf(c_54504,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_44428,c_53869]) ).
tcf(c_54505,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3621,c_53869]) ).
tcf(c_54506,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3509,c_53869]) ).
tcf(c_54507,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3390,c_53869]) ).
tcf(c_54508,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3285,c_53869]) ).
tcf(c_54509,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3176,c_53869]) ).
tcf(c_54510,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3034,c_53869]) ).
tcf(c_54511,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2793,c_53869]) ).
tcf(c_54512,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2649,c_53869]) ).
tcf(c_54513,plain,
multiply(sk_c2,sk_c10) = iPr_def_23,
inference(superposition,[status(thm)],[c_5120,c_53869]) ).
tcf(c_54516,plain,
! [X0: $i] : multiply(inverse(sk_c2),X0) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_53869,c_14868]) ).
tcf(c_54517,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_53869,c_100]) ).
tcf(c_54518,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(inverse(iPr_def_23),X0),
inference(superposition,[status(thm)],[c_53869,c_38079]) ).
tcf(c_54521,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_54511,c_12170]) ).
tcf(c_54524,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_54510,c_12170]) ).
tcf(c_54527,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_54509,c_12170]) ).
tcf(c_54530,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_54508,c_12170]) ).
tcf(c_54533,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_54507,c_12170]) ).
tcf(c_54536,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_54506,c_12170]) ).
tcf(c_54539,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_54505,c_12170]) ).
tcf(c_54542,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_54504,c_12170]) ).
tcf(c_54545,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_5389,c_54518]) ).
tcf(c_54546,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_5388,c_54518]) ).
tcf(c_54547,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_5387,c_54518]) ).
tcf(c_54548,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_5386,c_54518]) ).
tcf(c_54549,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_5385,c_54518]) ).
tcf(c_54550,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_5384,c_54518]) ).
tcf(c_54551,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_5383,c_54518]) ).
tcf(c_54722,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_44070]) ).
tcf(c_54723,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_43804]) ).
tcf(c_54724,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_13,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_53944,c_38079]) ).
tcf(c_54725,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_53944,c_38028]) ).
tcf(c_54738,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_53944,c_12170]) ).
tcf(c_54739,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_53944,c_2927]) ).
tcf(c_54740,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_2104]) ).
tcf(c_54741,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_2029]) ).
tcf(c_54742,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_1959]) ).
tcf(c_54743,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_1845]) ).
tcf(c_54744,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_1647]) ).
tcf(c_54745,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_1598]) ).
tcf(c_54746,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_1556]) ).
tcf(c_54747,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_1487]) ).
tcf(c_54754,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53944,c_577]) ).
tcf(c_54755,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53944,c_569]) ).
tcf(c_54826,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_13,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_53945,c_38079]) ).
tcf(c_54827,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_53945,c_38028]) ).
tcf(c_54835,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_4424]) ).
tcf(c_54838,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_3989]) ).
tcf(c_54840,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_53945,c_12170]) ).
tcf(c_54842,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_2104]) ).
tcf(c_54843,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_2029]) ).
tcf(c_54844,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_1959]) ).
tcf(c_54845,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_1845]) ).
tcf(c_54846,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_1647]) ).
tcf(c_54847,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_1598]) ).
tcf(c_54848,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_1556]) ).
tcf(c_54849,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_1487]) ).
tcf(c_54857,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53945,c_569]) ).
tcf(c_55055,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1163,c_49211]) ).
tcf(c_55056,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1046,c_49211]) ).
tcf(c_55057,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1107,c_49211]) ).
tcf(c_55059,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1410,c_49211]) ).
tcf(c_55060,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1408,c_49211]) ).
tcf(c_55061,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1406,c_49211]) ).
tcf(c_55065,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1409,c_49211]) ).
tcf(c_55067,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1405,c_49211]) ).
tcf(c_55069,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5133,c_49211]) ).
tcf(c_55071,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5129,c_49211]) ).
tcf(c_55076,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6074,c_49211]) ).
tcf(c_55078,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_49211,c_14868]) ).
tcf(c_55079,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_49211,c_100]) ).
tcf(c_55080,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_49211,c_5201]) ).
tcf(c_55154,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1046,c_49266]) ).
tcf(c_55155,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1107,c_49266]) ).
tcf(c_55157,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1410,c_49266]) ).
tcf(c_55158,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1408,c_49266]) ).
tcf(c_55163,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1409,c_49266]) ).
tcf(c_55164,plain,
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1407,c_49266]) ).
tcf(c_55167,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5133,c_49266]) ).
tcf(c_55168,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5131,c_49266]) ).
tcf(c_55174,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6074,c_49266]) ).
tcf(c_55176,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_49266,c_14868]) ).
tcf(c_55177,plain,
! [X0: $i,X1: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_49266,c_100]) ).
tcf(c_55178,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_49266,c_5201]) ).
tcf(c_55210,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( sk_c8 != iPr_def_16 )
| ( inverse(sk_c6) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_18118]) ).
tcf(c_55302,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1046,c_49312]) ).
tcf(c_55303,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1107,c_49312]) ).
tcf(c_55305,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1410,c_49312]) ).
tcf(c_55311,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1409,c_49312]) ).
tcf(c_55315,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_5133,c_49312]) ).
tcf(c_55322,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6074,c_49312]) ).
tcf(c_55324,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_49312,c_14868]) ).
tcf(c_55325,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_49312,c_100]) ).
tcf(c_55326,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_49312,c_5201]) ).
tcf(c_55356,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_13,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_53946,c_38079]) ).
tcf(c_55357,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_53946,c_38028]) ).
tcf(c_55365,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_4424]) ).
tcf(c_55368,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_3989]) ).
tcf(c_55370,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_53946,c_12170]) ).
tcf(c_55372,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_2104]) ).
tcf(c_55373,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_2029]) ).
tcf(c_55374,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_1959]) ).
tcf(c_55375,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_1845]) ).
tcf(c_55376,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_1647]) ).
tcf(c_55377,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_1598]) ).
tcf(c_55378,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_1556]) ).
tcf(c_55379,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_1487]) ).
tcf(c_55387,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53946,c_569]) ).
tcf(c_55434,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_13,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_53947,c_38079]) ).
tcf(c_55435,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_53947,c_38028]) ).
tcf(c_55443,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_4424]) ).
tcf(c_55446,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_3989]) ).
tcf(c_55448,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_53947,c_12170]) ).
tcf(c_55450,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_2104]) ).
tcf(c_55451,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_2029]) ).
tcf(c_55452,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_1959]) ).
tcf(c_55453,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_1845]) ).
tcf(c_55454,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_1647]) ).
tcf(c_55455,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_1598]) ).
tcf(c_55456,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_1556]) ).
tcf(c_55457,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_1487]) ).
tcf(c_55465,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53947,c_569]) ).
tcf(c_55585,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_13,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_53948,c_38079]) ).
tcf(c_55586,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_53948,c_38028]) ).
tcf(c_55594,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_4424]) ).
tcf(c_55597,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_3989]) ).
tcf(c_55599,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_53948,c_12170]) ).
tcf(c_55601,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_2104]) ).
tcf(c_55602,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_2029]) ).
tcf(c_55603,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_1959]) ).
tcf(c_55604,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_1845]) ).
tcf(c_55605,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_1647]) ).
tcf(c_55606,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_1598]) ).
tcf(c_55607,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_1556]) ).
tcf(c_55608,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_1487]) ).
tcf(c_55616,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53948,c_569]) ).
tcf(c_55706,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_13,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_53949,c_38079]) ).
tcf(c_55707,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_53949,c_38028]) ).
tcf(c_55715,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_4424]) ).
tcf(c_55718,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_3989]) ).
tcf(c_55720,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_53949,c_12170]) ).
tcf(c_55722,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_2104]) ).
tcf(c_55723,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_2029]) ).
tcf(c_55724,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_1959]) ).
tcf(c_55725,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_1845]) ).
tcf(c_55726,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_1647]) ).
tcf(c_55727,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_1598]) ).
tcf(c_55728,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_1556]) ).
tcf(c_55729,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_1487]) ).
tcf(c_55737,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53949,c_569]) ).
tcf(c_55844,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_13,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_53950,c_38079]) ).
tcf(c_55845,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_53950,c_38028]) ).
tcf(c_55853,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_4424]) ).
tcf(c_55856,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_3989]) ).
tcf(c_55858,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_53950,c_12170]) ).
tcf(c_55860,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_2104]) ).
tcf(c_55861,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_2029]) ).
tcf(c_55862,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_1959]) ).
tcf(c_55863,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_1845]) ).
tcf(c_55864,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_1647]) ).
tcf(c_55865,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_1598]) ).
tcf(c_55866,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_1556]) ).
tcf(c_55867,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_1487]) ).
tcf(c_55875,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53950,c_569]) ).
tcf(c_56036,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_13,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_53951,c_38079]) ).
tcf(c_56037,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_53951,c_38028]) ).
tcf(c_56045,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53951,c_4424]) ).
tcf(c_56048,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53951,c_3989]) ).
tcf(c_56050,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_53951,c_12170]) ).
tcf(c_56052,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53951,c_2104]) ).
tcf(c_56053,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53951,c_2029]) ).
tcf(c_56054,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53951,c_1959]) ).
tcf(c_56055,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53951,c_1845]) ).
tcf(c_56056,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53951,c_1647]) ).
tcf(c_56057,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53951,c_1598]) ).
tcf(c_56058,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53951,c_1556]) ).
tcf(c_56059,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53951,c_1487]) ).
tcf(c_56067,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_53951,c_569]) ).
tcf(c_56107,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34351,c_16035]) ).
tcf(c_56108,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31259,c_16035]) ).
tcf(c_56109,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30942,c_16035]) ).
tcf(c_56110,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30693,c_16035]) ).
tcf(c_56111,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_29411,c_16035]) ).
tcf(c_56112,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28896,c_16035]) ).
tcf(c_56113,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28667,c_16035]) ).
tcf(c_56114,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28510,c_16035]) ).
tcf(c_56115,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_16035,c_14868]) ).
tcf(c_56116,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_16035,c_99]) ).
tcf(c_56117,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_16035,c_584]) ).
tcf(c_56118,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_16035,c_38079]) ).
tcf(c_56119,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_16035,c_38028]) ).
tcf(c_56120,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_56114,c_53942]) ).
tcf(c_56171,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_44070]) ).
tcf(c_56172,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_43804]) ).
tcf(c_56173,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_56120,c_38079]) ).
tcf(c_56174,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56120,c_38030]) ).
tcf(c_56175,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_56120,c_38028]) ).
tcf(c_56185,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_4098]) ).
tcf(c_56187,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_3910]) ).
tcf(c_56188,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_56120,c_12170]) ).
tcf(c_56189,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_56120,c_2927]) ).
tcf(c_56190,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_2104]) ).
tcf(c_56191,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_2029]) ).
tcf(c_56192,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_1959]) ).
tcf(c_56193,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_1845]) ).
tcf(c_56194,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_1647]) ).
tcf(c_56195,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_1598]) ).
tcf(c_56196,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_1556]) ).
tcf(c_56197,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_1487]) ).
tcf(c_56202,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56120,c_2942]) ).
tcf(c_56203,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56120,c_1108]) ).
tcf(c_56204,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56120,c_577]) ).
tcf(c_56312,plain,
multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,sk_c3),
inference(superposition,[status(thm)],[c_578,c_40997]) ).
tcf(c_56444,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56116,c_14868]) ).
tcf(c_56445,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_56116,c_100]) ).
tcf(c_56448,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_56116,c_5123]) ).
tcf(c_56461,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_56204]) ).
tcf(c_56468,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_56204]) ).
tcf(c_56496,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_56204]) ).
tcf(c_56509,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_56204,c_14868]) ).
tcf(c_56511,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_15) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_56204,c_582]) ).
tcf(c_56512,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_56204,c_53869]) ).
tcf(c_56523,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != sk_c2 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_56511,c_53942]) ).
tcf(c_56604,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56174,c_45370]) ).
tcf(c_56605,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_14) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_56174,c_45396]) ).
tcf(c_56606,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_56174,c_45367]) ).
tcf(c_56612,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_56174,c_5201]) ).
tcf(c_56618,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_14) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_56174,c_5198]) ).
tcf(c_56619,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c7,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56174,c_2944]) ).
tcf(c_56620,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c7) = identity ) ),
inference(superposition,[status(thm)],[c_56174,c_1106]) ).
tcf(c_56889,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_23949,c_53942]) ).
tcf(c_56906,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56889,c_56120]) ).
tcf(c_56908,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_56889,c_53950]) ).
tcf(c_56910,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_56889,c_53948]) ).
tcf(c_56913,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_56889,c_53945]) ).
tcf(c_56918,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_44070]) ).
tcf(c_56919,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_43804]) ).
tcf(c_56920,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_56889,c_38079]) ).
tcf(c_56922,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),sk_c1) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_56889,c_38028]) ).
tcf(c_56930,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_4424]) ).
tcf(c_56932,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_4098]) ).
tcf(c_56933,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_3989]) ).
tcf(c_56934,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_3910]) ).
tcf(c_56935,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_56889,c_12170]) ).
tcf(c_56936,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_56889,c_2927]) ).
tcf(c_56937,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_2104]) ).
tcf(c_56938,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_2029]) ).
tcf(c_56939,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_1959]) ).
tcf(c_56940,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_1845]) ).
tcf(c_56941,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_1647]) ).
tcf(c_56942,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_1598]) ).
tcf(c_56943,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_1556]) ).
tcf(c_56944,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_1487]) ).
tcf(c_56951,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56889,c_577]) ).
tcf(c_56952,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(sk_c1) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56889,c_569]) ).
tcf(c_57086,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56913,c_44213]) ).
tcf(c_57088,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56913,c_23565]) ).
tcf(c_57089,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_56913,c_23562]) ).
tcf(c_57090,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56913,c_3816]) ).
tcf(c_57091,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56913,c_3733]) ).
tcf(c_57092,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_56913,c_2925]) ).
tcf(c_57094,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56913,c_1705]) ).
tcf(c_57095,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56913,c_1357]) ).
tcf(c_57096,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56913,c_1327]) ).
tcf(c_57097,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56913,c_1303]) ).
tcf(c_57098,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56913,c_1279]) ).
tcf(c_57099,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56913,c_1201]) ).
tcf(c_57101,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56913,c_2948]) ).
tcf(c_57102,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_56913,c_1102]) ).
tcf(c_57103,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56913,c_579]) ).
tcf(c_57104,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56913,c_580]) ).
tcf(c_57105,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_57104,c_35515]) ).
tcf(c_57122,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_57095,c_5374]) ).
tcf(c_57289,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_48478]) ).
tcf(c_57297,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57105,c_36123]) ).
tcf(c_57298,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57105,c_36122]) ).
tcf(c_57303,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_26788]) ).
tcf(c_57304,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_26546]) ).
tcf(c_57305,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_26422]) ).
tcf(c_57306,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_25284]) ).
tcf(c_57307,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_25055]) ).
tcf(c_57308,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_24883]) ).
tcf(c_57309,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_57105,c_26791]) ).
tcf(c_57310,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_57105,c_26547]) ).
tcf(c_57311,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_57105,c_26421]) ).
tcf(c_57312,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_57105,c_25282]) ).
tcf(c_57314,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_57105,c_2927]) ).
tcf(c_57315,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_57105,c_2926]) ).
tcf(c_57316,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57105,c_10242]) ).
tcf(c_57323,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_1139]) ).
tcf(c_57328,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_1082]) ).
tcf(c_57330,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_1080]) ).
tcf(c_57333,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_57105,c_2098]) ).
tcf(c_57334,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_57105,c_2024]) ).
tcf(c_57335,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_57105,c_1955]) ).
tcf(c_57336,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_57105,c_1842]) ).
tcf(c_57347,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_57105,c_582]) ).
tcf(c_57353,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57105,c_578]) ).
tcf(c_57354,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_57105,c_577]) ).
tcf(c_57356,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_57105,c_567]) ).
tcf(c_57709,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_43810,c_56951]) ).
tcf(c_57710,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23936,c_56951]) ).
tcf(c_57711,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23935,c_56951]) ).
tcf(c_57712,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23934,c_56951]) ).
tcf(c_57713,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23933,c_56951]) ).
tcf(c_57714,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23932,c_56951]) ).
tcf(c_57715,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23931,c_56951]) ).
tcf(c_57716,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_57105,c_56951]) ).
tcf(c_57717,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_56951]) ).
tcf(c_57724,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_56951]) ).
tcf(c_57745,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_986,c_56951]) ).
tcf(c_57748,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_56951]) ).
tcf(c_57750,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_56951]) ).
tcf(c_57751,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_56951]) ).
tcf(c_57752,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_56951]) ).
tcf(c_57765,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_56951,c_14868]) ).
tcf(c_57767,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c1) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_56951,c_582]) ).
tcf(c_57768,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_56951,c_2948]) ).
tcf(c_57800,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_57767,c_580]) ).
tcf(c_57849,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_57103]) ).
tcf(c_57850,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_57103]) ).
tcf(c_57870,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_57103,c_14868]) ).
tcf(c_57872,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_57103,c_39440]) ).
tcf(c_57881,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_57103,c_34530]) ).
tcf(c_57920,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4978,c_57353]) ).
tcf(c_57923,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4794,c_57353]) ).
tcf(c_57925,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4507,c_57353]) ).
tcf(c_57956,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_57353,c_14868]) ).
tcf(c_57964,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_57353,c_23565]) ).
tcf(c_58223,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_57354]) ).
tcf(c_58225,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_57354]) ).
tcf(c_58228,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53945,c_57354]) ).
tcf(c_58232,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20370,c_57354]) ).
tcf(c_58233,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19269,c_57354]) ).
tcf(c_58234,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18292,c_57354]) ).
tcf(c_58235,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16741,c_57354]) ).
tcf(c_58236,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_14212,c_57354]) ).
tcf(c_58237,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_57354]) ).
tcf(c_58238,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4978,c_57354]) ).
tcf(c_58241,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4794,c_57354]) ).
tcf(c_58243,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_57354]) ).
tcf(c_58244,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4415,c_57354]) ).
tcf(c_58246,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4090,c_57354]) ).
tcf(c_58248,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57354,c_14868]) ).
tcf(c_58250,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_57354,c_38079]) ).
tcf(c_58251,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57354,c_2942]) ).
tcf(c_58280,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_23950,c_53942]) ).
tcf(c_58297,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_57354]) ).
tcf(c_58298,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_58280,c_56120]) ).
tcf(c_58300,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58280,c_53950]) ).
tcf(c_58301,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58280,c_53949]) ).
tcf(c_58302,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58280,c_53948]) ).
tcf(c_58304,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58280,c_53946]) ).
tcf(c_58310,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_44070]) ).
tcf(c_58311,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_43804]) ).
tcf(c_58312,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_58280,c_38079]) ).
tcf(c_58314,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),sk_c1) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58280,c_38028]) ).
tcf(c_58322,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_4424]) ).
tcf(c_58324,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_4098]) ).
tcf(c_58325,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_3989]) ).
tcf(c_58326,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_3910]) ).
tcf(c_58327,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_58280,c_12170]) ).
tcf(c_58328,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_58280,c_2927]) ).
tcf(c_58329,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_2104]) ).
tcf(c_58330,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_2029]) ).
tcf(c_58331,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_1959]) ).
tcf(c_58332,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_1845]) ).
tcf(c_58333,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_1647]) ).
tcf(c_58334,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_1598]) ).
tcf(c_58335,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_1556]) ).
tcf(c_58336,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_1487]) ).
tcf(c_58343,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58280,c_577]) ).
tcf(c_58344,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(sk_c1) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_58280,c_569]) ).
tcf(c_58405,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58304,c_56951]) ).
tcf(c_58406,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58304,c_44213]) ).
tcf(c_58408,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_58304,c_23565]) ).
tcf(c_58409,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_58304,c_23562]) ).
tcf(c_58410,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58304,c_3816]) ).
tcf(c_58411,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58304,c_3733]) ).
tcf(c_58412,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_58304,c_2925]) ).
tcf(c_58414,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58304,c_1705]) ).
tcf(c_58415,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58304,c_1357]) ).
tcf(c_58416,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58304,c_1327]) ).
tcf(c_58417,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58304,c_1303]) ).
tcf(c_58418,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58304,c_1279]) ).
tcf(c_58419,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58304,c_1201]) ).
tcf(c_58421,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_58304,c_2948]) ).
tcf(c_58422,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_58304,c_1102]) ).
tcf(c_58423,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58304,c_579]) ).
tcf(c_58424,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58304,c_580]) ).
tcf(c_58425,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_58424,c_35515]) ).
tcf(c_58442,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_58415,c_5374]) ).
tcf(c_58559,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_48478]) ).
tcf(c_58567,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58425,c_36123]) ).
tcf(c_58568,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58425,c_36122]) ).
tcf(c_58573,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_26788]) ).
tcf(c_58574,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_26546]) ).
tcf(c_58575,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_26422]) ).
tcf(c_58576,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_25284]) ).
tcf(c_58577,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_25055]) ).
tcf(c_58578,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_24883]) ).
tcf(c_58580,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_58425,c_26547]) ).
tcf(c_58581,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_58425,c_26421]) ).
tcf(c_58582,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_58425,c_25282]) ).
tcf(c_58584,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_58425,c_2927]) ).
tcf(c_58585,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_58425,c_2926]) ).
tcf(c_58586,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58425,c_10242]) ).
tcf(c_58593,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_1139]) ).
tcf(c_58598,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_1082]) ).
tcf(c_58600,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_1080]) ).
tcf(c_58603,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_58425,c_2098]) ).
tcf(c_58604,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_58425,c_2024]) ).
tcf(c_58605,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_58425,c_1955]) ).
tcf(c_58617,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_58425,c_582]) ).
tcf(c_58623,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58425,c_578]) ).
tcf(c_58624,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58425,c_577]) ).
tcf(c_58626,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58425,c_567]) ).
tcf(c_58629,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_58425,c_589]) ).
tcf(c_58944,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_23951,c_53942]) ).
tcf(c_58961,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_57354]) ).
tcf(c_58962,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_58944,c_56120]) ).
tcf(c_58964,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58944,c_53950]) ).
tcf(c_58965,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58944,c_53949]) ).
tcf(c_58966,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58944,c_53948]) ).
tcf(c_58967,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58944,c_53947]) ).
tcf(c_58974,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_44070]) ).
tcf(c_58975,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_43804]) ).
tcf(c_58976,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_58944,c_38079]) ).
tcf(c_58978,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),sk_c1) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_58944,c_38028]) ).
tcf(c_58986,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_4424]) ).
tcf(c_58988,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_4098]) ).
tcf(c_58989,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_3989]) ).
tcf(c_58990,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_3910]) ).
tcf(c_58991,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_58944,c_12170]) ).
tcf(c_58992,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_58944,c_2927]) ).
tcf(c_58993,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_2104]) ).
tcf(c_58994,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_2029]) ).
tcf(c_58995,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_1959]) ).
tcf(c_58996,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_1845]) ).
tcf(c_58997,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_1647]) ).
tcf(c_58998,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_1598]) ).
tcf(c_58999,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_1556]) ).
tcf(c_59000,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_1487]) ).
tcf(c_59007,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_577]) ).
tcf(c_59008,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(sk_c1) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_58944,c_569]) ).
tcf(c_59606,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_43810,c_58343]) ).
tcf(c_59607,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23936,c_58343]) ).
tcf(c_59608,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23935,c_58343]) ).
tcf(c_59609,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23934,c_58343]) ).
tcf(c_59610,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23933,c_58343]) ).
tcf(c_59611,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23932,c_58343]) ).
tcf(c_59612,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23931,c_58343]) ).
tcf(c_59613,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58425,c_58343]) ).
tcf(c_59615,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_58343]) ).
tcf(c_59622,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_58343]) ).
tcf(c_59644,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_985,c_58343]) ).
tcf(c_59646,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_58343]) ).
tcf(c_59647,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_58343]) ).
tcf(c_59648,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_58343]) ).
tcf(c_59649,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_58343]) ).
tcf(c_59650,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_58343]) ).
tcf(c_59663,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_58343,c_14868]) ).
tcf(c_59665,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c1) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_58343,c_582]) ).
tcf(c_59666,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_58343,c_2948]) ).
tcf(c_59701,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_59665,c_580]) ).
tcf(c_59777,plain,
( ( iPr_def_14 = iPr_def_17 )
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_41904,c_10242,c_19025,c_36120,c_56174]) ).
tcf(c_59778,plain,
( iPr_def_11
| ( iPr_def_14 = iPr_def_17 ) ),
inference(renaming,[status(thm)],[c_59777]) ).
tcf(c_59788,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_58423]) ).
tcf(c_59789,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_58423]) ).
tcf(c_59809,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_58423,c_14868]) ).
tcf(c_59811,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_58423,c_39440]) ).
tcf(c_59820,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_58423,c_34530]) ).
tcf(c_59877,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4976,c_58623]) ).
tcf(c_59879,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4794,c_58623]) ).
tcf(c_59880,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4792,c_58623]) ).
tcf(c_59881,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4507,c_58623]) ).
tcf(c_59912,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_58623,c_14868]) ).
tcf(c_59920,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_58623,c_23565]) ).
tcf(c_59975,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58944,c_58624]) ).
tcf(c_59980,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_58624]) ).
tcf(c_59981,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_58624]) ).
tcf(c_59982,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_58624]) ).
tcf(c_59984,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53946,c_58624]) ).
tcf(c_59990,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19269,c_58624]) ).
tcf(c_59991,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18292,c_58624]) ).
tcf(c_59992,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16741,c_58624]) ).
tcf(c_59993,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_14212,c_58624]) ).
tcf(c_59994,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_58624]) ).
tcf(c_59996,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4976,c_58624]) ).
tcf(c_59998,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4794,c_58624]) ).
tcf(c_59999,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4792,c_58624]) ).
tcf(c_60000,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_58624]) ).
tcf(c_60001,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4415,c_58624]) ).
tcf(c_60003,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4090,c_58624]) ).
tcf(c_60005,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58624,c_14868]) ).
tcf(c_60007,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_58624,c_38079]) ).
tcf(c_60008,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58624,c_2942]) ).
tcf(c_60358,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58967,c_58343]) ).
tcf(c_60359,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58967,c_56951]) ).
tcf(c_60360,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58967,c_44213]) ).
tcf(c_60362,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_58967,c_23565]) ).
tcf(c_60363,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_58967,c_23562]) ).
tcf(c_60364,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58967,c_3816]) ).
tcf(c_60365,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58967,c_3733]) ).
tcf(c_60366,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_58967,c_2925]) ).
tcf(c_60368,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58967,c_1705]) ).
tcf(c_60369,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58967,c_1357]) ).
tcf(c_60370,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58967,c_1327]) ).
tcf(c_60371,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58967,c_1303]) ).
tcf(c_60372,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58967,c_1279]) ).
tcf(c_60373,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58967,c_1201]) ).
tcf(c_60375,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_58967,c_2948]) ).
tcf(c_60376,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_58967,c_1102]) ).
tcf(c_60377,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58967,c_579]) ).
tcf(c_60378,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58967,c_580]) ).
tcf(c_60379,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_60378,c_35515]) ).
tcf(c_60396,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_60369,c_5374]) ).
tcf(c_60460,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_48478]) ).
tcf(c_60468,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_60379,c_36123]) ).
tcf(c_60469,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_60379,c_36122]) ).
tcf(c_60474,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_26788]) ).
tcf(c_60475,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_26546]) ).
tcf(c_60476,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_26422]) ).
tcf(c_60477,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_25284]) ).
tcf(c_60478,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_25055]) ).
tcf(c_60479,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_24883]) ).
tcf(c_60482,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_60379,c_26421]) ).
tcf(c_60483,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_60379,c_25282]) ).
tcf(c_60485,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_60379,c_2927]) ).
tcf(c_60486,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_60379,c_2926]) ).
tcf(c_60487,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60379,c_10242]) ).
tcf(c_60494,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_1139]) ).
tcf(c_60499,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_1082]) ).
tcf(c_60501,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_1080]) ).
tcf(c_60504,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_60379,c_2098]) ).
tcf(c_60505,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_60379,c_2024]) ).
tcf(c_60518,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60379,c_582]) ).
tcf(c_60524,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60379,c_578]) ).
tcf(c_60525,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60379,c_577]) ).
tcf(c_60527,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_60379,c_567]) ).
tcf(c_60529,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_60379,c_591]) ).
tcf(c_60530,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_60379,c_589]) ).
tcf(c_60801,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_23952,c_53942]) ).
tcf(c_60818,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_58624]) ).
tcf(c_60819,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_57354]) ).
tcf(c_60820,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_60801,c_56120]) ).
tcf(c_60822,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_60801,c_53950]) ).
tcf(c_60824,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_60801,c_53948]) ).
tcf(c_60832,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_44070]) ).
tcf(c_60833,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_43804]) ).
tcf(c_60834,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_60801,c_38079]) ).
tcf(c_60836,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),sk_c1) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_60801,c_38028]) ).
tcf(c_60844,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_4424]) ).
tcf(c_60846,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_4098]) ).
tcf(c_60847,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_3989]) ).
tcf(c_60848,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_3910]) ).
tcf(c_60849,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_60801,c_12170]) ).
tcf(c_60850,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_60801,c_2927]) ).
tcf(c_60851,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_2104]) ).
tcf(c_60852,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_2029]) ).
tcf(c_60853,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_1959]) ).
tcf(c_60854,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_1845]) ).
tcf(c_60855,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_1647]) ).
tcf(c_60856,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_1598]) ).
tcf(c_60857,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_1556]) ).
tcf(c_60858,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_1487]) ).
tcf(c_60865,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_577]) ).
tcf(c_60866,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(sk_c1) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_60801,c_569]) ).
tcf(c_60946,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60824,c_58343]) ).
tcf(c_60947,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60824,c_56951]) ).
tcf(c_60948,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60824,c_44213]) ).
tcf(c_60950,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_60824,c_23565]) ).
tcf(c_60951,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_60824,c_23562]) ).
tcf(c_60952,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60824,c_3816]) ).
tcf(c_60953,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60824,c_3733]) ).
tcf(c_60954,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_60824,c_2925]) ).
tcf(c_60956,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60824,c_1705]) ).
tcf(c_60957,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60824,c_1357]) ).
tcf(c_60958,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60824,c_1327]) ).
tcf(c_60959,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60824,c_1303]) ).
tcf(c_60960,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60824,c_1279]) ).
tcf(c_60961,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60824,c_1201]) ).
tcf(c_60963,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_60824,c_2948]) ).
tcf(c_60964,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_60824,c_1102]) ).
tcf(c_60965,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60824,c_579]) ).
tcf(c_60966,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_60824,c_580]) ).
tcf(c_60967,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_60966,c_35515]) ).
tcf(c_60984,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_60957,c_5374]) ).
tcf(c_61092,plain,
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(sk_c10,sk_c10) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_2394,c_15984]) ).
tcf(c_61153,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60379,c_61092]) ).
tcf(c_61154,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_58425,c_61092]) ).
tcf(c_61155,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_57105,c_61092]) ).
tcf(c_61156,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39651,c_61092]) ).
tcf(c_61157,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_25,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39649,c_61092]) ).
tcf(c_61158,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39648,c_61092]) ).
tcf(c_61159,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_18,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26791,c_61092]) ).
tcf(c_61160,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_20,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26547,c_61092]) ).
tcf(c_61161,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_21,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26421,c_61092]) ).
tcf(c_61162,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_22,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_25282,c_61092]) ).
tcf(c_61163,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_24,iPr_def_24) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_10242,c_61092]) ).
tcf(c_61176,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_22,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2098,c_61092]) ).
tcf(c_61177,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_21,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2024,c_61092]) ).
tcf(c_61178,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_20,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1955,c_61092]) ).
tcf(c_61179,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1901,c_61092]) ).
tcf(c_61180,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_18,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1842,c_61092]) ).
tcf(c_61181,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1808,c_61092]) ).
tcf(c_61182,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_25,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1526,c_61092]) ).
tcf(c_61183,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_25,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1460,c_61092]) ).
tcf(c_61184,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_986,c_61092]) ).
tcf(c_61185,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_985,c_61092]) ).
tcf(c_61186,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_984,c_61092]) ).
tcf(c_61187,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_950,c_61092]) ).
tcf(c_61188,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_949,c_61092]) ).
tcf(c_61189,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_939,c_61092]) ).
tcf(c_61190,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_931,c_61092]) ).
tcf(c_61191,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_919,c_61092]) ).
tcf(c_61192,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_629,c_61092]) ).
tcf(c_61193,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_628,c_61092]) ).
tcf(c_61194,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_627,c_61092]) ).
tcf(c_61195,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_625,c_61092]) ).
tcf(c_61196,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_25,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_620,c_61092]) ).
tcf(c_61197,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_25,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_619,c_61092]) ).
tcf(c_61198,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_25,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_618,c_61092]) ).
tcf(c_61199,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_25,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_616,c_61092]) ).
tcf(c_61200,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_22,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_593,c_61092]) ).
tcf(c_61201,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_21,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_592,c_61092]) ).
tcf(c_61202,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_20,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_591,c_61092]) ).
tcf(c_61203,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_18,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_589,c_61092]) ).
tcf(c_61363,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_26 != inverse(sk_c2) )
| ( iPr_def_15 != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_22932]) ).
tcf(c_61686,plain,
( ~ iPr_def_12
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(ground_joinability,[status(thm)],[c_2396,c_35515]) ).
tcf(c_61694,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_23,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_28486,c_12073]) ).
tcf(c_61695,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_15,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_11128,c_12073]) ).
tcf(c_61696,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60379,c_12073]) ).
tcf(c_61697,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_58425,c_12073]) ).
tcf(c_61698,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_57105,c_12073]) ).
tcf(c_61699,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39651,c_12073]) ).
tcf(c_61700,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39649,c_12073]) ).
tcf(c_61701,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39648,c_12073]) ).
tcf(c_61702,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26791,c_12073]) ).
tcf(c_61703,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26547,c_12073]) ).
tcf(c_61704,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26421,c_12073]) ).
tcf(c_61705,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_25282,c_12073]) ).
tcf(c_61706,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_24) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_10242,c_12073]) ).
tcf(c_61719,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2098,c_12073]) ).
tcf(c_61720,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2024,c_12073]) ).
tcf(c_61721,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1955,c_12073]) ).
tcf(c_61722,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1901,c_12073]) ).
tcf(c_61723,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1842,c_12073]) ).
tcf(c_61724,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1808,c_12073]) ).
tcf(c_61725,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1526,c_12073]) ).
tcf(c_61726,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1460,c_12073]) ).
tcf(c_61727,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_986,c_12073]) ).
tcf(c_61728,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_985,c_12073]) ).
tcf(c_61729,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_984,c_12073]) ).
tcf(c_61730,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_950,c_12073]) ).
tcf(c_61731,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_949,c_12073]) ).
tcf(c_61732,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_939,c_12073]) ).
tcf(c_61733,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_931,c_12073]) ).
tcf(c_61734,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_919,c_12073]) ).
tcf(c_61735,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_629,c_12073]) ).
tcf(c_61736,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_628,c_12073]) ).
tcf(c_61737,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_627,c_12073]) ).
tcf(c_61738,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_625,c_12073]) ).
tcf(c_61739,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_620,c_12073]) ).
tcf(c_61740,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_619,c_12073]) ).
tcf(c_61741,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_618,c_12073]) ).
tcf(c_61742,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_616,c_12073]) ).
tcf(c_61743,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_593,c_12073]) ).
tcf(c_61744,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_592,c_12073]) ).
tcf(c_61745,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_591,c_12073]) ).
tcf(c_61746,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_589,c_12073]) ).
tcf(c_62474,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_45402,c_5867]) ).
tcf(c_62483,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_14,sk_c6) ) ),
inference(superposition,[status(thm)],[c_1107,c_5867]) ).
tcf(c_62485,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_1410,c_5867]) ).
tcf(c_62491,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_1409,c_5867]) ).
tcf(c_62494,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c6,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_2943,c_5867]) ).
tcf(c_62495,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5133,c_5867]) ).
tcf(c_62500,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5134,c_5867]) ).
tcf(c_62508,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_16) = multiply(iPr_def_14,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_5867]) ).
tcf(c_62509,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5867,c_14868]) ).
tcf(c_62510,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_5867,c_100]) ).
tcf(c_62511,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5867,c_2944]) ).
tcf(c_62520,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_62511,c_5201]) ).
tcf(c_62544,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60824,c_59007]) ).
tcf(c_62548,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_43810,c_59007]) ).
tcf(c_62549,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23936,c_59007]) ).
tcf(c_62550,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23935,c_59007]) ).
tcf(c_62551,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23934,c_59007]) ).
tcf(c_62552,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23933,c_59007]) ).
tcf(c_62553,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23932,c_59007]) ).
tcf(c_62554,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23931,c_59007]) ).
tcf(c_62555,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60379,c_59007]) ).
tcf(c_62558,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_59007]) ).
tcf(c_62565,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_59007]) ).
tcf(c_62588,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_984,c_59007]) ).
tcf(c_62589,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_59007]) ).
tcf(c_62590,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_59007]) ).
tcf(c_62591,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_59007]) ).
tcf(c_62592,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_59007]) ).
tcf(c_62593,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_59007]) ).
tcf(c_62606,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_59007,c_14868]) ).
tcf(c_62608,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c1) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_59007,c_582]) ).
tcf(c_62609,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_59007,c_2948]) ).
tcf(c_62645,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_62608,c_580]) ).
tcf(c_62655,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_60377]) ).
tcf(c_62656,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_60377]) ).
tcf(c_62676,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_60377,c_14868]) ).
tcf(c_62678,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_60377,c_39440]) ).
tcf(c_62687,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_60377,c_34530]) ).
tcf(c_62715,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4975,c_60524]) ).
tcf(c_62716,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4794,c_60524]) ).
tcf(c_62717,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4792,c_60524]) ).
tcf(c_62718,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4507,c_60524]) ).
tcf(c_62749,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_60524,c_14868]) ).
tcf(c_62757,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_60524,c_23565]) ).
tcf(c_62776,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60801,c_60525]) ).
tcf(c_62782,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_60525]) ).
tcf(c_62783,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_60525]) ).
tcf(c_62784,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_60525]) ).
tcf(c_62785,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53947,c_60525]) ).
tcf(c_62793,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18292,c_60525]) ).
tcf(c_62794,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16741,c_60525]) ).
tcf(c_62795,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_14212,c_60525]) ).
tcf(c_62796,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_60525]) ).
tcf(c_62799,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4975,c_60525]) ).
tcf(c_62800,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4794,c_60525]) ).
tcf(c_62801,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4792,c_60525]) ).
tcf(c_62802,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_60525]) ).
tcf(c_62803,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4415,c_60525]) ).
tcf(c_62805,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4090,c_60525]) ).
tcf(c_62807,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_60525,c_14868]) ).
tcf(c_62809,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_60525,c_38079]) ).
tcf(c_62810,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_60525,c_2942]) ).
tcf(c_62892,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60967,c_12073]) ).
tcf(c_62893,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60967,c_61092]) ).
tcf(c_62900,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_48478]) ).
tcf(c_62908,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_60967,c_36123]) ).
tcf(c_62909,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_60967,c_36122]) ).
tcf(c_62914,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_26788]) ).
tcf(c_62915,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_26546]) ).
tcf(c_62916,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_26422]) ).
tcf(c_62917,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_25284]) ).
tcf(c_62918,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_25055]) ).
tcf(c_62919,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_24883]) ).
tcf(c_62920,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_60967,c_26791]) ).
tcf(c_62921,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_60967,c_26547]) ).
tcf(c_62922,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_60967,c_26421]) ).
tcf(c_62923,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_60967,c_25282]) ).
tcf(c_62925,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_60967,c_2927]) ).
tcf(c_62926,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_60967,c_2926]) ).
tcf(c_62927,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60967,c_10242]) ).
tcf(c_62934,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_1139]) ).
tcf(c_62939,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_1082]) ).
tcf(c_62941,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_1080]) ).
tcf(c_62944,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_60967,c_2098]) ).
tcf(c_62945,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_60967,c_2024]) ).
tcf(c_62946,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_60967,c_1955]) ).
tcf(c_62947,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_60967,c_1842]) ).
tcf(c_62958,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60967,c_582]) ).
tcf(c_62964,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60967,c_578]) ).
tcf(c_62965,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60967,c_577]) ).
tcf(c_62967,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_60967,c_567]) ).
tcf(c_63377,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_23953,c_53942]) ).
tcf(c_63394,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_60525]) ).
tcf(c_63395,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_58624]) ).
tcf(c_63396,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_57354]) ).
tcf(c_63397,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_63377,c_56120]) ).
tcf(c_63399,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_63377,c_53950]) ).
tcf(c_63400,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_63377,c_53949]) ).
tcf(c_63409,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_44070]) ).
tcf(c_63410,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_43804]) ).
tcf(c_63411,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_63377,c_38079]) ).
tcf(c_63413,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),sk_c1) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_63377,c_38028]) ).
tcf(c_63421,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_4424]) ).
tcf(c_63423,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_4098]) ).
tcf(c_63424,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_3989]) ).
tcf(c_63425,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_3910]) ).
tcf(c_63426,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_63377,c_12170]) ).
tcf(c_63427,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_63377,c_2927]) ).
tcf(c_63428,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_2104]) ).
tcf(c_63429,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_2029]) ).
tcf(c_63430,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_1959]) ).
tcf(c_63431,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_1845]) ).
tcf(c_63432,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_1647]) ).
tcf(c_63433,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_1598]) ).
tcf(c_63434,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_1556]) ).
tcf(c_63435,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_1487]) ).
tcf(c_63442,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63377,c_577]) ).
tcf(c_63443,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(sk_c1) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_63377,c_569]) ).
tcf(c_63500,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63400,c_59007]) ).
tcf(c_63501,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63400,c_58343]) ).
tcf(c_63502,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63400,c_56951]) ).
tcf(c_63503,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63400,c_44213]) ).
tcf(c_63505,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_63400,c_23565]) ).
tcf(c_63506,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_63400,c_23562]) ).
tcf(c_63507,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63400,c_3816]) ).
tcf(c_63508,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63400,c_3733]) ).
tcf(c_63509,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63400,c_2925]) ).
tcf(c_63511,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63400,c_1705]) ).
tcf(c_63512,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63400,c_1357]) ).
tcf(c_63513,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63400,c_1327]) ).
tcf(c_63514,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63400,c_1303]) ).
tcf(c_63515,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63400,c_1279]) ).
tcf(c_63516,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63400,c_1201]) ).
tcf(c_63518,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_63400,c_2948]) ).
tcf(c_63519,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_63400,c_1102]) ).
tcf(c_63520,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63400,c_579]) ).
tcf(c_63521,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_63400,c_580]) ).
tcf(c_63522,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_63521,c_35515]) ).
tcf(c_63539,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_63512,c_5374]) ).
tcf(c_63599,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_63522,c_12073]) ).
tcf(c_63600,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_63522,c_61092]) ).
tcf(c_63607,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_48478]) ).
tcf(c_63615,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_63522,c_36123]) ).
tcf(c_63616,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_63522,c_36122]) ).
tcf(c_63621,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_26788]) ).
tcf(c_63622,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_26546]) ).
tcf(c_63623,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_26422]) ).
tcf(c_63624,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_25284]) ).
tcf(c_63625,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_25055]) ).
tcf(c_63626,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_24883]) ).
tcf(c_63628,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_63522,c_26547]) ).
tcf(c_63629,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_63522,c_26421]) ).
tcf(c_63630,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_63522,c_25282]) ).
tcf(c_63632,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_63522,c_2927]) ).
tcf(c_63633,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_63522,c_2926]) ).
tcf(c_63634,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_63522,c_10242]) ).
tcf(c_63641,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_1139]) ).
tcf(c_63646,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_1082]) ).
tcf(c_63648,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_1080]) ).
tcf(c_63651,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_63522,c_2098]) ).
tcf(c_63652,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_63522,c_2024]) ).
tcf(c_63653,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_63522,c_1955]) ).
tcf(c_63665,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_63522,c_582]) ).
tcf(c_63671,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_63522,c_578]) ).
tcf(c_63672,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63522,c_577]) ).
tcf(c_63674,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_63522,c_567]) ).
tcf(c_63677,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_63522,c_589]) ).
tcf(c_63933,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63400,c_60865]) ).
tcf(c_63938,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_43810,c_60865]) ).
tcf(c_63939,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23936,c_60865]) ).
tcf(c_63940,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23935,c_60865]) ).
tcf(c_63941,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23934,c_60865]) ).
tcf(c_63942,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23933,c_60865]) ).
tcf(c_63943,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23932,c_60865]) ).
tcf(c_63944,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23931,c_60865]) ).
tcf(c_63945,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63522,c_60865]) ).
tcf(c_63946,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60967,c_60865]) ).
tcf(c_63950,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_60865]) ).
tcf(c_63957,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_60865]) ).
tcf(c_63981,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_60865]) ).
tcf(c_63983,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_60865]) ).
tcf(c_63984,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_60865]) ).
tcf(c_63985,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_60865]) ).
tcf(c_63998,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_60865,c_14868]) ).
tcf(c_64000,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c1) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60865,c_582]) ).
tcf(c_64001,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_60865,c_2948]) ).
tcf(c_64032,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_64000,c_580]) ).
tcf(c_64078,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_60965]) ).
tcf(c_64079,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_60965]) ).
tcf(c_64099,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_60965,c_14868]) ).
tcf(c_64101,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_60965,c_39440]) ).
tcf(c_64110,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_60965,c_34530]) ).
tcf(c_64139,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4794,c_62964]) ).
tcf(c_64141,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4507,c_62964]) ).
tcf(c_64172,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_62964,c_14868]) ).
tcf(c_64180,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_62964,c_23565]) ).
tcf(c_64200,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_62965]) ).
tcf(c_64202,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53948,c_62965]) ).
tcf(c_64212,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16741,c_62965]) ).
tcf(c_64213,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_14212,c_62965]) ).
tcf(c_64214,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_62965]) ).
tcf(c_64218,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4794,c_62965]) ).
tcf(c_64220,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_62965]) ).
tcf(c_64221,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4415,c_62965]) ).
tcf(c_64223,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4090,c_62965]) ).
tcf(c_64225,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62965,c_14868]) ).
tcf(c_64227,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_62965,c_38079]) ).
tcf(c_64228,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62965,c_2942]) ).
tcf(c_64248,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_23954,c_53942]) ).
tcf(c_64265,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_62965]) ).
tcf(c_64266,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_60525]) ).
tcf(c_64267,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_58624]) ).
tcf(c_64268,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_57354]) ).
tcf(c_64269,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64248,c_56120]) ).
tcf(c_64271,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_64248,c_53950]) ).
tcf(c_64281,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_44070]) ).
tcf(c_64282,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_43804]) ).
tcf(c_64283,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_64248,c_38079]) ).
tcf(c_64285,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),sk_c1) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_64248,c_38028]) ).
tcf(c_64293,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_4424]) ).
tcf(c_64295,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_4098]) ).
tcf(c_64296,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_3989]) ).
tcf(c_64297,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_3910]) ).
tcf(c_64298,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_64248,c_12170]) ).
tcf(c_64299,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_64248,c_2927]) ).
tcf(c_64300,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_2104]) ).
tcf(c_64301,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_2029]) ).
tcf(c_64302,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_1959]) ).
tcf(c_64303,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_1845]) ).
tcf(c_64304,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_1647]) ).
tcf(c_64305,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_1598]) ).
tcf(c_64306,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_1556]) ).
tcf(c_64307,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_1487]) ).
tcf(c_64314,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64248,c_577]) ).
tcf(c_64315,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(sk_c1) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64248,c_569]) ).
tcf(c_64447,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64271,c_60865]) ).
tcf(c_64448,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64271,c_59007]) ).
tcf(c_64449,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64271,c_58343]) ).
tcf(c_64450,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64271,c_56951]) ).
tcf(c_64451,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64271,c_44213]) ).
tcf(c_64453,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_64271,c_23565]) ).
tcf(c_64454,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_64271,c_23562]) ).
tcf(c_64455,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64271,c_3816]) ).
tcf(c_64456,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64271,c_3733]) ).
tcf(c_64457,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_64271,c_2925]) ).
tcf(c_64459,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64271,c_1705]) ).
tcf(c_64460,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64271,c_1357]) ).
tcf(c_64461,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64271,c_1327]) ).
tcf(c_64462,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64271,c_1303]) ).
tcf(c_64463,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64271,c_1279]) ).
tcf(c_64464,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64271,c_1201]) ).
tcf(c_64466,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_64271,c_2948]) ).
tcf(c_64467,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_64271,c_1102]) ).
tcf(c_64468,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64271,c_579]) ).
tcf(c_64469,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64271,c_580]) ).
tcf(c_64470,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_64469,c_35515]) ).
tcf(c_64487,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c3 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_64460,c_5374]) ).
tcf(c_64779,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64470,c_12073]) ).
tcf(c_64780,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_26,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64470,c_61092]) ).
tcf(c_64787,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_48478]) ).
tcf(c_64795,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64470,c_36123]) ).
tcf(c_64796,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64470,c_36122]) ).
tcf(c_64801,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_26788]) ).
tcf(c_64802,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_26546]) ).
tcf(c_64803,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_26422]) ).
tcf(c_64804,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_25284]) ).
tcf(c_64805,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_25055]) ).
tcf(c_64806,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_24883]) ).
tcf(c_64807,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64470,c_26791]) ).
tcf(c_64808,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64470,c_26547]) ).
tcf(c_64809,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64470,c_26421]) ).
tcf(c_64810,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64470,c_25282]) ).
tcf(c_64812,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_64470,c_2927]) ).
tcf(c_64813,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_64470,c_2926]) ).
tcf(c_64814,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_64470,c_10242]) ).
tcf(c_64821,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_1139]) ).
tcf(c_64826,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_1082]) ).
tcf(c_64828,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_1080]) ).
tcf(c_64831,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64470,c_2098]) ).
tcf(c_64832,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64470,c_2024]) ).
tcf(c_64833,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64470,c_1955]) ).
tcf(c_64834,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64470,c_1842]) ).
tcf(c_64845,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_26,multiply(X0,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64470,c_582]) ).
tcf(c_64851,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64470,c_578]) ).
tcf(c_64852,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64470,c_577]) ).
tcf(c_64854,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_64470,c_567]) ).
tcf(c_64938,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_28486,c_23955]) ).
tcf(c_64942,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c10 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23955,c_584]) ).
tcf(c_64959,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64271,c_63442]) ).
tcf(c_64965,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_43810,c_63442]) ).
tcf(c_64966,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23936,c_63442]) ).
tcf(c_64967,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23935,c_63442]) ).
tcf(c_64968,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23934,c_63442]) ).
tcf(c_64969,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23933,c_63442]) ).
tcf(c_64970,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23932,c_63442]) ).
tcf(c_64971,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23931,c_63442]) ).
tcf(c_64972,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64470,c_63442]) ).
tcf(c_64973,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63522,c_63442]) ).
tcf(c_64978,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_63442]) ).
tcf(c_64985,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_63442]) ).
tcf(c_65010,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_63442]) ).
tcf(c_65011,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_63442]) ).
tcf(c_65012,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_63442]) ).
tcf(c_65013,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_63442]) ).
tcf(c_65026,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_63442,c_14868]) ).
tcf(c_65028,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c1) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_63442,c_582]) ).
tcf(c_65029,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_63442,c_2948]) ).
tcf(c_65060,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_65028,c_580]) ).
tcf(c_65070,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_63520]) ).
tcf(c_65071,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_63520]) ).
tcf(c_65091,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_63520,c_14868]) ).
tcf(c_65093,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_63520,c_39440]) ).
tcf(c_65102,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_63520,c_34530]) ).
tcf(c_65132,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4792,c_63671]) ).
tcf(c_65133,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4507,c_63671]) ).
tcf(c_65164,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_63671,c_14868]) ).
tcf(c_65172,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_63671,c_23565]) ).
tcf(c_65385,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_63672]) ).
tcf(c_65386,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53949,c_63672]) ).
tcf(c_65398,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_14212,c_63672]) ).
tcf(c_65399,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_63672]) ).
tcf(c_65404,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4792,c_63672]) ).
tcf(c_65405,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_63672]) ).
tcf(c_65406,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4415,c_63672]) ).
tcf(c_65408,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4090,c_63672]) ).
tcf(c_65410,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_63672,c_14868]) ).
tcf(c_65412,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63672,c_38079]) ).
tcf(c_65413,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_63672,c_2942]) ).
tcf(c_65443,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_34158,c_23956]) ).
tcf(c_65444,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27658,c_23956]) ).
tcf(c_65445,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27657,c_23956]) ).
tcf(c_65446,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27656,c_23956]) ).
tcf(c_65452,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_20906,c_23956]) ).
tcf(c_65453,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_19580,c_23956]) ).
tcf(c_65454,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_18938,c_23956]) ).
tcf(c_65455,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_17395,c_23956]) ).
tcf(c_65456,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_16277,c_23956]) ).
tcf(c_65462,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23956,c_584]) ).
tcf(c_65504,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_34158,c_23957]) ).
tcf(c_65506,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27657,c_23957]) ).
tcf(c_65507,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27656,c_23957]) ).
tcf(c_65508,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27277,c_23957]) ).
tcf(c_65509,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27276,c_23957]) ).
tcf(c_65514,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_19580,c_23957]) ).
tcf(c_65515,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_18938,c_23957]) ).
tcf(c_65516,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_17395,c_23957]) ).
tcf(c_65517,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_16277,c_23957]) ).
tcf(c_65523,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23957,c_584]) ).
tcf(c_65567,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_34158,c_23958]) ).
tcf(c_65569,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27657,c_23958]) ).
tcf(c_65570,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27656,c_23958]) ).
tcf(c_65572,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27276,c_23958]) ).
tcf(c_65573,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_26916,c_23958]) ).
tcf(c_65578,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_18938,c_23958]) ).
tcf(c_65579,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_17395,c_23958]) ).
tcf(c_65580,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_16277,c_23958]) ).
tcf(c_65586,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23958,c_584]) ).
tcf(c_65629,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_34158,c_23959]) ).
tcf(c_65631,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27657,c_23959]) ).
tcf(c_65632,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27656,c_23959]) ).
tcf(c_65641,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_17395,c_23959]) ).
tcf(c_65642,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_16277,c_23959]) ).
tcf(c_65648,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23959,c_584]) ).
tcf(c_65685,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_43810,c_64314]) ).
tcf(c_65686,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23936,c_64314]) ).
tcf(c_65687,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23935,c_64314]) ).
tcf(c_65688,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23934,c_64314]) ).
tcf(c_65689,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23933,c_64314]) ).
tcf(c_65690,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23932,c_64314]) ).
tcf(c_65691,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23931,c_64314]) ).
tcf(c_65692,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64470,c_64314]) ).
tcf(c_65698,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_64314]) ).
tcf(c_65705,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_64314]) ).
tcf(c_65731,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_64314]) ).
tcf(c_65732,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_64314]) ).
tcf(c_65733,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_64314]) ).
tcf(c_65746,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_64314,c_14868]) ).
tcf(c_65748,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c1) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64314,c_582]) ).
tcf(c_65749,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_64314,c_2948]) ).
tcf(c_65775,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_65748,c_580]) ).
tcf(c_65785,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_64468]) ).
tcf(c_65786,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_64468]) ).
tcf(c_65806,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_64468,c_14868]) ).
tcf(c_65808,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_64468,c_39440]) ).
tcf(c_65817,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_64468,c_34530]) ).
tcf(c_65848,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4507,c_64851]) ).
tcf(c_65879,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_64851,c_14868]) ).
tcf(c_65887,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_64851,c_23565]) ).
tcf(c_65905,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_53950,c_64852]) ).
tcf(c_65919,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_64852]) ).
tcf(c_65925,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_64852]) ).
tcf(c_65926,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4415,c_64852]) ).
tcf(c_65928,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4090,c_64852]) ).
tcf(c_65930,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64852,c_14868]) ).
tcf(c_65932,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_64852,c_38079]) ).
tcf(c_65933,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64852,c_2942]) ).
tcf(c_65956,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_34158,c_23960]) ).
tcf(c_65959,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27656,c_23960]) ).
tcf(c_65961,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27276,c_23960]) ).
tcf(c_65969,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_16277,c_23960]) ).
tcf(c_65975,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23960,c_584]) ).
tcf(c_66010,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_34158,c_23961]) ).
tcf(c_66013,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27656,c_23961]) ).
tcf(c_66029,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_11
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23961,c_584]) ).
tcf(c_66049,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_23962,c_53942]) ).
tcf(c_66072,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66049,c_56120]) ).
tcf(c_66084,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_44070]) ).
tcf(c_66085,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_43804]) ).
tcf(c_66086,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_66049,c_38079]) ).
tcf(c_66088,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),sk_c1) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_66049,c_38028]) ).
tcf(c_66096,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_4424]) ).
tcf(c_66098,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_4098]) ).
tcf(c_66099,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_3989]) ).
tcf(c_66100,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_3910]) ).
tcf(c_66101,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_66049,c_12170]) ).
tcf(c_66102,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_66049,c_2927]) ).
tcf(c_66103,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_2104]) ).
tcf(c_66104,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_2029]) ).
tcf(c_66105,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_1959]) ).
tcf(c_66106,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_1845]) ).
tcf(c_66107,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_1647]) ).
tcf(c_66108,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_1598]) ).
tcf(c_66109,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_1556]) ).
tcf(c_66110,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_1487]) ).
tcf(c_66117,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66049,c_577]) ).
tcf(c_66118,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(sk_c1) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66049,c_569]) ).
tcf(c_66173,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_34158,c_23963]) ).
tcf(c_66181,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_22642,c_23963]) ).
tcf(c_66182,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_20906,c_23963]) ).
tcf(c_66183,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_19580,c_23963]) ).
tcf(c_66184,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_18938,c_23963]) ).
tcf(c_66185,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_17395,c_23963]) ).
tcf(c_66186,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_16277,c_23963]) ).
tcf(c_66192,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23963,c_584]) ).
tcf(c_66227,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_43810,c_66117]) ).
tcf(c_66228,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23936,c_66117]) ).
tcf(c_66229,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23935,c_66117]) ).
tcf(c_66230,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23934,c_66117]) ).
tcf(c_66231,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23933,c_66117]) ).
tcf(c_66232,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23932,c_66117]) ).
tcf(c_66240,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_66117]) ).
tcf(c_66247,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_66117]) ).
tcf(c_66274,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_66117]) ).
tcf(c_66275,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_66117]) ).
tcf(c_66288,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66117,c_14868]) ).
tcf(c_66290,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(sk_c1) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_66117,c_582]) ).
tcf(c_66291,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66117,c_2948]) ).
tcf(c_66312,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_66290,c_580]) ).
tcf(c_66323,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_23964,c_53942]) ).
tcf(c_66346,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66323,c_56120]) ).
tcf(c_66358,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_44070]) ).
tcf(c_66359,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_43804]) ).
tcf(c_66360,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_66323,c_38079]) ).
tcf(c_66362,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),sk_c1) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_66323,c_38028]) ).
tcf(c_66372,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_4098]) ).
tcf(c_66374,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_3910]) ).
tcf(c_66375,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_66323,c_12170]) ).
tcf(c_66376,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_66323,c_2927]) ).
tcf(c_66377,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_2104]) ).
tcf(c_66378,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_2029]) ).
tcf(c_66379,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_1959]) ).
tcf(c_66380,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_1845]) ).
tcf(c_66381,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_1647]) ).
tcf(c_66382,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_1598]) ).
tcf(c_66383,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_1556]) ).
tcf(c_66384,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_1487]) ).
tcf(c_66391,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66323,c_577]) ).
tcf(c_66392,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(sk_c1) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66323,c_569]) ).
tcf(c_66461,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66346,c_44213]) ).
tcf(c_66470,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66346,c_23565]) ).
tcf(c_66471,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_66346,c_23562]) ).
tcf(c_66473,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66346,c_3733]) ).
tcf(c_66474,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_66346,c_2925]) ).
tcf(c_66477,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66346,c_1357]) ).
tcf(c_66478,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66346,c_1327]) ).
tcf(c_66479,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66346,c_1303]) ).
tcf(c_66480,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66346,c_1279]) ).
tcf(c_66481,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66346,c_1201]) ).
tcf(c_66483,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66346,c_2948]) ).
tcf(c_66484,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_66346,c_1102]) ).
tcf(c_66485,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66346,c_579]) ).
tcf(c_66486,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_66346,c_580]) ).
tcf(c_66487,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66486,c_53942]) ).
tcf(c_66547,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_66487,c_66323]) ).
tcf(c_66573,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_44070]) ).
tcf(c_66574,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_43804]) ).
tcf(c_66575,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_66487,c_38079]) ).
tcf(c_66576,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_66487,c_38030]) ).
tcf(c_66577,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_66487,c_38028]) ).
tcf(c_66587,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_4098]) ).
tcf(c_66588,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_3989]) ).
tcf(c_66589,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_3910]) ).
tcf(c_66590,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_66487,c_12170]) ).
tcf(c_66591,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_66487,c_2927]) ).
tcf(c_66592,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_2104]) ).
tcf(c_66593,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_2029]) ).
tcf(c_66594,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_1959]) ).
tcf(c_66595,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_1845]) ).
tcf(c_66596,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_1647]) ).
tcf(c_66597,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_1598]) ).
tcf(c_66598,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_1556]) ).
tcf(c_66599,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_1487]) ).
tcf(c_66606,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66487,c_577]) ).
tcf(c_66607,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66487,c_569]) ).
tcf(c_66615,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_66589,c_5612]) ).
tcf(c_66646,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_66573,c_5612]) ).
tcf(c_66686,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66547,c_44213]) ).
tcf(c_66698,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66547,c_3733]) ).
tcf(c_66699,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_66547,c_2925]) ).
tcf(c_66702,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66547,c_1357]) ).
tcf(c_66703,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66547,c_1327]) ).
tcf(c_66704,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66547,c_1303]) ).
tcf(c_66705,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66547,c_1279]) ).
tcf(c_66706,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66547,c_1201]) ).
tcf(c_66708,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66547,c_2948]) ).
tcf(c_66709,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_66547,c_1102]) ).
tcf(c_66710,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66547,c_579]) ).
tcf(c_66711,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_66547,c_580]) ).
tcf(c_66761,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4415,c_5935]) ).
tcf(c_66762,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4407,c_5935]) ).
tcf(c_66765,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5935,c_14868]) ).
tcf(c_66768,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5935,c_5378]) ).
tcf(c_66769,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5935,c_5394]) ).
tcf(c_66770,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5935,c_5393]) ).
tcf(c_66771,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5935,c_5392]) ).
tcf(c_66772,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5935,c_5391]) ).
tcf(c_66773,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5935,c_23565]) ).
tcf(c_66806,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_43810,c_66391]) ).
tcf(c_66807,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23936,c_66391]) ).
tcf(c_66808,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23935,c_66391]) ).
tcf(c_66809,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23934,c_66391]) ).
tcf(c_66810,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23933,c_66391]) ).
tcf(c_66819,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_66391]) ).
tcf(c_66826,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_66391]) ).
tcf(c_66854,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_66391]) ).
tcf(c_66867,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66391,c_14868]) ).
tcf(c_66869,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c1) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_66391,c_582]) ).
tcf(c_66870,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66391,c_2948]) ).
tcf(c_66886,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_66869,c_580]) ).
tcf(c_66916,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66485,c_14868]) ).
tcf(c_66918,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66485,c_53869]) ).
tcf(c_66932,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_66606]) ).
tcf(c_66942,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4082,c_66606]) ).
tcf(c_66949,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_66606]) ).
tcf(c_66956,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_66606]) ).
tcf(c_66984,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_66606]) ).
tcf(c_66997,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66606,c_14868]) ).
tcf(c_66999,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_26) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_66606,c_582]) ).
tcf(c_67000,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66606,c_5380]) ).
tcf(c_67002,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66606,c_5394]) ).
tcf(c_67003,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66606,c_5393]) ).
tcf(c_67004,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66606,c_5392]) ).
tcf(c_67005,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66606,c_5391]) ).
tcf(c_67006,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66606,c_23565]) ).
tcf(c_67035,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c1 != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_66999,c_23929]) ).
tcf(c_67050,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11118,c_66710]) ).
tcf(c_67060,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4082,c_66710]) ).
tcf(c_67082,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66710,c_14868]) ).
tcf(c_67084,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66710,c_5380]) ).
tcf(c_67086,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66710,c_5394]) ).
tcf(c_67087,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66710,c_5393]) ).
tcf(c_67088,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66710,c_5392]) ).
tcf(c_67089,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66710,c_5391]) ).
tcf(c_67090,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66710,c_23565]) ).
tcf(c_67176,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66576,c_43804]) ).
tcf(c_67177,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_43803]) ).
tcf(c_67178,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66576,c_5380]) ).
tcf(c_67184,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66576,c_5394]) ).
tcf(c_67185,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66576,c_5393]) ).
tcf(c_67186,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66576,c_5392]) ).
tcf(c_67187,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66576,c_5391]) ).
tcf(c_67188,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66576,c_23565]) ).
tcf(c_67189,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_66576,c_23929]) ).
tcf(c_67190,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_66576,c_23562]) ).
tcf(c_67197,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66576,c_5621]) ).
tcf(c_67198,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_66576,c_5615]) ).
tcf(c_67202,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66576,c_4098]) ).
tcf(c_67203,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_4097]) ).
tcf(c_67204,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_66576,c_4096]) ).
tcf(c_67205,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_11118]) ).
tcf(c_67206,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_7255]) ).
tcf(c_67207,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_7180]) ).
tcf(c_67208,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_6849]) ).
tcf(c_67209,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_6425]) ).
tcf(c_67210,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66576,c_2104]) ).
tcf(c_67211,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_2103]) ).
tcf(c_67212,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_66576,c_2102]) ).
tcf(c_67213,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66576,c_2029]) ).
tcf(c_67214,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_2028]) ).
tcf(c_67215,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_66576,c_2027]) ).
tcf(c_67216,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66576,c_1959]) ).
tcf(c_67217,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_1958]) ).
tcf(c_67218,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_66576,c_1957]) ).
tcf(c_67219,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66576,c_1845]) ).
tcf(c_67220,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_66576,c_1844]) ).
tcf(c_67221,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_66576,c_1843]) ).
tcf(c_67231,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66576,c_4082]) ).
tcf(c_67233,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66576,c_2948]) ).
tcf(c_67234,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_66576,c_1102]) ).
tcf(c_67239,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_67189,c_35515]) ).
tcf(c_67531,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_66710]) ).
tcf(c_67541,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_44747]) ).
tcf(c_67545,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66615,c_35752]) ).
tcf(c_67546,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_24760]) ).
tcf(c_67547,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_24515]) ).
tcf(c_67548,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_24472]) ).
tcf(c_67549,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_24428]) ).
tcf(c_67550,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_24368]) ).
tcf(c_67554,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_66615,c_2925]) ).
tcf(c_67556,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_66615,c_2923]) ).
tcf(c_67557,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_66615,c_2921]) ).
tcf(c_67575,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_66615,c_630]) ).
tcf(c_67576,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_621]) ).
tcf(c_67585,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66615,c_594]) ).
tcf(c_67811,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_13,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_67205,c_12073]) ).
tcf(c_67814,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_67205,c_44215]) ).
tcf(c_67815,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_67205,c_44214]) ).
tcf(c_67816,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67205,c_44213]) ).
tcf(c_67817,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_67205,c_28486]) ).
tcf(c_67818,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_67205,c_17515]) ).
tcf(c_67819,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67205,c_11139]) ).
tcf(c_67820,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_67205,c_5564]) ).
tcf(c_67824,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_67205,c_3735]) ).
tcf(c_67825,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_67205,c_3734]) ).
tcf(c_67826,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67205,c_3733]) ).
tcf(c_67827,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_13) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_67205,c_12170]) ).
tcf(c_67829,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67205,c_11142]) ).
tcf(c_67830,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_67205,c_1359]) ).
tcf(c_67831,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_67205,c_1358]) ).
tcf(c_67832,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67205,c_1357]) ).
tcf(c_67833,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_67205,c_1329]) ).
tcf(c_67834,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_67205,c_1328]) ).
tcf(c_67835,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67205,c_1327]) ).
tcf(c_67836,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_67205,c_1305]) ).
tcf(c_67837,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_67205,c_1304]) ).
tcf(c_67838,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67205,c_1303]) ).
tcf(c_67839,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_67205,c_1281]) ).
tcf(c_67840,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_67205,c_1280]) ).
tcf(c_67841,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67205,c_1279]) ).
tcf(c_67842,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_67205,c_1203]) ).
tcf(c_67843,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_67205,c_1202]) ).
tcf(c_67844,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67205,c_1201]) ).
tcf(c_67845,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_67205,c_5374]) ).
tcf(c_67851,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_67829,c_35515]) ).
tcf(c_67922,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(sk_c3) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_67811,c_1103]) ).
tcf(c_67942,plain,
( ( iPr_def_14 = iPr_def_17 )
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_67818,c_59778]) ).
tcf(c_67943,plain,
( iPr_def_11
| ( iPr_def_14 = iPr_def_17 ) ),
inference(renaming,[status(thm)],[c_67942]) ).
tcf(c_67984,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_25051,c_5957]) ).
tcf(c_67991,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_11120,c_5957]) ).
tcf(c_67994,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5957,c_14868]) ).
tcf(c_67998,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5957,c_26849]) ).
tcf(c_68003,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_25) = multiply(iPr_def_26,sk_c9) ) ),
inference(superposition,[status(thm)],[c_5957,c_5615]) ).
tcf(c_68060,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(sk_c9,X0))) = X0,
inference(superposition,[status(thm)],[c_39267,c_14924]) ).
tcf(c_68062,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c5,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_39704,c_14924]) ).
tcf(c_68064,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(sk_c9,X0))) = X0,
inference(superposition,[status(thm)],[c_572,c_14924]) ).
tcf(c_68065,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_47077,c_14924]) ).
tcf(c_68067,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(sk_c9,X0))) = X0,
inference(superposition,[status(thm)],[c_24054,c_14924]) ).
tcf(c_68069,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(sk_c3,X0))) = X0,
inference(superposition,[status(thm)],[c_35613,c_14924]) ).
tcf(c_68071,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_54513,c_14924]) ).
tcf(c_68073,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(identity,multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_98,c_14924]) ).
tcf(c_68074,plain,
! [X0: $i,X1: $i] : multiply(inverse(identity),multiply(inverse(X0),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_99,c_14924]) ).
tcf(c_68075,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_100,c_14924]) ).
tcf(c_68076,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1906,c_14924]) ).
tcf(c_68077,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1530,c_14924]) ).
tcf(c_68078,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1242,c_14924]) ).
tcf(c_68079,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_970,c_14924]) ).
tcf(c_68080,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1780,c_14924]) ).
tcf(c_68081,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1440,c_14924]) ).
tcf(c_68082,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1164,c_14924]) ).
tcf(c_68083,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_971,c_14924]) ).
tcf(c_68084,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1905,c_14924]) ).
tcf(c_68085,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1529,c_14924]) ).
tcf(c_68086,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1241,c_14924]) ).
tcf(c_68087,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1045,c_14924]) ).
tcf(c_68088,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1779,c_14924]) ).
tcf(c_68089,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1439,c_14924]) ).
tcf(c_68090,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1163,c_14924]) ).
tcf(c_68091,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1046,c_14924]) ).
tcf(c_68092,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2201,c_14924]) ).
tcf(c_68093,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1707,c_14924]) ).
tcf(c_68094,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1047,c_14924]) ).
tcf(c_68095,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c5,multiply(iPr_def_19,X0))) = X0,
inference(superposition,[status(thm)],[c_39635,c_14924]) ).
tcf(c_68096,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c5,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1778,c_14924]) ).
tcf(c_68097,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c5,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1438,c_14924]) ).
tcf(c_68098,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c5,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1162,c_14924]) ).
tcf(c_68099,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c5,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1055,c_14924]) ).
tcf(c_68100,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2200,c_14924]) ).
tcf(c_68101,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1706,c_14924]) ).
tcf(c_68102,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1060,c_14924]) ).
tcf(c_68103,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_25507,c_14924]) ).
tcf(c_68104,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5001,c_14924]) ).
tcf(c_68105,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1063,c_14924]) ).
tcf(c_68106,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26966,c_14924]) ).
tcf(c_68107,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4817,c_14924]) ).
tcf(c_68108,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1064,c_14924]) ).
tcf(c_68109,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_27327,c_14924]) ).
tcf(c_68110,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4530,c_14924]) ).
tcf(c_68111,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1065,c_14924]) ).
tcf(c_68112,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_27708,c_14924]) ).
tcf(c_68113,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4218,c_14924]) ).
tcf(c_68114,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1066,c_14924]) ).
tcf(c_68115,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_22,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_25506,c_14924]) ).
tcf(c_68116,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_22,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5000,c_14924]) ).
tcf(c_68117,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_22,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1075,c_14924]) ).
tcf(c_68118,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_21,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26965,c_14924]) ).
tcf(c_68119,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_21,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4816,c_14924]) ).
tcf(c_68120,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_21,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1076,c_14924]) ).
tcf(c_68121,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_20,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_27326,c_14924]) ).
tcf(c_68122,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_20,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4529,c_14924]) ).
tcf(c_68123,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_20,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1077,c_14924]) ).
tcf(c_68124,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_18,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_27707,c_14924]) ).
tcf(c_68125,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_18,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4217,c_14924]) ).
tcf(c_68126,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_18,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1078,c_14924]) ).
tcf(c_68127,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3720,c_14924]) ).
tcf(c_68128,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1139,c_14924]) ).
tcf(c_68129,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1132,c_14924]) ).
tcf(c_68130,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1125,c_14924]) ).
tcf(c_68131,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_16 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1082,c_14924]) ).
tcf(c_68132,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1081,c_14924]) ).
tcf(c_68133,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1080,c_14924]) ).
tcf(c_68134,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1079,c_14924]) ).
tcf(c_68135,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2199,c_14924]) ).
tcf(c_68136,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1705,c_14924]) ).
tcf(c_68137,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1099,c_14924]) ).
tcf(c_68138,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_26,multiply(sk_c1,X0))) = X0,
inference(superposition,[status(thm)],[c_1102,c_14924]) ).
tcf(c_68139,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_13,multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_1103,c_14924]) ).
tcf(c_68140,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_22,multiply(sk_c4,X0))) = X0,
inference(superposition,[status(thm)],[c_1104,c_14924]) ).
tcf(c_68141,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_19,multiply(sk_c5,X0))) = X0,
inference(superposition,[status(thm)],[c_1105,c_14924]) ).
tcf(c_68142,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_17,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_1106,c_14924]) ).
tcf(c_68143,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_16,multiply(sk_c6,X0))) = X0,
inference(superposition,[status(thm)],[c_1107,c_14924]) ).
tcf(c_68144,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_15,multiply(sk_c2,X0))) = X0,
inference(superposition,[status(thm)],[c_1108,c_14924]) ).
tcf(c_68145,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4999,c_14924]) ).
tcf(c_68146,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1109,c_14924]) ).
tcf(c_68147,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4815,c_14924]) ).
tcf(c_68148,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1110,c_14924]) ).
tcf(c_68149,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4528,c_14924]) ).
tcf(c_68150,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1111,c_14924]) ).
tcf(c_68151,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4216,c_14924]) ).
tcf(c_68152,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1112,c_14924]) ).
tcf(c_68153,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_44213,c_14924]) ).
tcf(c_68154,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3816,c_14924]) ).
tcf(c_68155,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3733,c_14924]) ).
tcf(c_68156,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1357,c_14924]) ).
tcf(c_68157,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1327,c_14924]) ).
tcf(c_68158,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1303,c_14924]) ).
tcf(c_68159,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1279,c_14924]) ).
tcf(c_68160,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1201,c_14924]) ).
tcf(c_68161,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_44214,c_14924]) ).
tcf(c_68162,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3817,c_14924]) ).
tcf(c_68163,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3734,c_14924]) ).
tcf(c_68164,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1358,c_14924]) ).
tcf(c_68165,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1328,c_14924]) ).
tcf(c_68166,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1304,c_14924]) ).
tcf(c_68167,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1280,c_14924]) ).
tcf(c_68168,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1202,c_14924]) ).
tcf(c_68169,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_44215,c_14924]) ).
tcf(c_68170,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3818,c_14924]) ).
tcf(c_68171,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3735,c_14924]) ).
tcf(c_68172,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1359,c_14924]) ).
tcf(c_68173,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1329,c_14924]) ).
tcf(c_68174,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1305,c_14924]) ).
tcf(c_68175,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1281,c_14924]) ).
tcf(c_68176,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1203,c_14924]) ).
tcf(c_68177,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1749,c_14924]) ).
tcf(c_68178,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1410,c_14924]) ).
tcf(c_68179,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1408,c_14924]) ).
tcf(c_68180,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1406,c_14924]) ).
tcf(c_68181,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1404,c_14924]) ).
tcf(c_68182,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1809,c_14924]) ).
tcf(c_68183,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1459,c_14924]) ).
tcf(c_68184,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1409,c_14924]) ).
tcf(c_68185,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1407,c_14924]) ).
tcf(c_68186,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1405,c_14924]) ).
tcf(c_68187,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3987,c_14924]) ).
tcf(c_68188,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3908,c_14924]) ).
tcf(c_68189,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1645,c_14924]) ).
tcf(c_68190,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1596,c_14924]) ).
tcf(c_68191,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1554,c_14924]) ).
tcf(c_68192,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1485,c_14924]) ).
tcf(c_68193,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_44069,c_14924]) ).
tcf(c_68194,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3988,c_14924]) ).
tcf(c_68195,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3909,c_14924]) ).
tcf(c_68196,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1646,c_14924]) ).
tcf(c_68197,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1597,c_14924]) ).
tcf(c_68198,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1555,c_14924]) ).
tcf(c_68199,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1486,c_14924]) ).
tcf(c_68200,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_44070,c_14924]) ).
tcf(c_68201,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3989,c_14924]) ).
tcf(c_68202,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3910,c_14924]) ).
tcf(c_68203,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1647,c_14924]) ).
tcf(c_68204,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1598,c_14924]) ).
tcf(c_68205,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1556,c_14924]) ).
tcf(c_68206,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1487,c_14924]) ).
tcf(c_68207,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4422,c_14924]) ).
tcf(c_68208,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4096,c_14924]) ).
tcf(c_68209,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2102,c_14924]) ).
tcf(c_68210,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2027,c_14924]) ).
tcf(c_68211,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1957,c_14924]) ).
tcf(c_68212,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1843,c_14924]) ).
tcf(c_68213,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_64851,c_14924]) ).
tcf(c_68214,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63671,c_14924]) ).
tcf(c_68215,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_62964,c_14924]) ).
tcf(c_68216,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_60524,c_14924]) ).
tcf(c_68217,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_58623,c_14924]) ).
tcf(c_68218,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_57353,c_14924]) ).
tcf(c_68219,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_43803,c_14924]) ).
tcf(c_68220,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4423,c_14924]) ).
tcf(c_68221,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4097,c_14924]) ).
tcf(c_68222,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2103,c_14924]) ).
tcf(c_68223,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2028,c_14924]) ).
tcf(c_68224,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1958,c_14924]) ).
tcf(c_68225,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1844,c_14924]) ).
tcf(c_68226,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_64852,c_14924]) ).
tcf(c_68227,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63672,c_14924]) ).
tcf(c_68228,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_62965,c_14924]) ).
tcf(c_68229,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_60525,c_14924]) ).
tcf(c_68230,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_58624,c_14924]) ).
tcf(c_68231,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_57354,c_14924]) ).
tcf(c_68232,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_43804,c_14924]) ).
tcf(c_68233,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4424,c_14924]) ).
tcf(c_68234,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4098,c_14924]) ).
tcf(c_68235,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2104,c_14924]) ).
tcf(c_68236,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2029,c_14924]) ).
tcf(c_68237,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1959,c_14924]) ).
tcf(c_68238,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1845,c_14924]) ).
tcf(c_68239,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c10,multiply(iPr_def_13,X0))) = X0,
inference(superposition,[status(thm)],[c_34527,c_14924]) ).
tcf(c_68240,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_52660,c_14924]) ).
tcf(c_68241,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_50278,c_14924]) ).
tcf(c_68242,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_48478,c_14924]) ).
tcf(c_68243,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26788,c_14924]) ).
tcf(c_68244,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26546,c_14924]) ).
tcf(c_68245,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26422,c_14924]) ).
tcf(c_68246,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_25284,c_14924]) ).
tcf(c_68247,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_25055,c_14924]) ).
tcf(c_68248,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24883,c_14924]) ).
tcf(c_68249,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_66485,c_14924]) ).
tcf(c_68250,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c2,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_53866,c_14924]) ).
tcf(c_68251,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c6,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_49047,c_14924]) ).
tcf(c_68252,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c7,multiply(iPr_def_17,X0))) = X0,
inference(superposition,[status(thm)],[c_45367,c_14924]) ).
tcf(c_68253,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c4,multiply(iPr_def_22,X0))) = X0,
inference(superposition,[status(thm)],[c_39106,c_14924]) ).
tcf(c_68254,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_64468,c_14924]) ).
tcf(c_68255,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63520,c_14924]) ).
tcf(c_68256,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_60965,c_14924]) ).
tcf(c_68257,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_60377,c_14924]) ).
tcf(c_68258,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_58423,c_14924]) ).
tcf(c_68259,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_57103,c_14924]) ).
tcf(c_68260,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_44747,c_14924]) ).
tcf(c_68261,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_39440,c_14924]) ).
tcf(c_68262,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24760,c_14924]) ).
tcf(c_68263,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24515,c_14924]) ).
tcf(c_68264,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24472,c_14924]) ).
tcf(c_68265,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24428,c_14924]) ).
tcf(c_68266,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24368,c_14924]) ).
tcf(c_68267,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24214,c_14924]) ).
tcf(c_68268,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_66710,c_14924]) ).
tcf(c_68269,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c1,multiply(iPr_def_26,X0))) = X0,
inference(superposition,[status(thm)],[c_23562,c_14924]) ).
tcf(c_68270,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3620,c_14924]) ).
tcf(c_68271,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3508,c_14924]) ).
tcf(c_68272,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3389,c_14924]) ).
tcf(c_68273,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3284,c_14924]) ).
tcf(c_68274,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3175,c_14924]) ).
tcf(c_68275,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3033,c_14924]) ).
tcf(c_68276,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2792,c_14924]) ).
tcf(c_68277,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2648,c_14924]) ).
tcf(c_68278,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_44428,c_14924]) ).
tcf(c_68279,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3621,c_14924]) ).
tcf(c_68280,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3509,c_14924]) ).
tcf(c_68281,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3390,c_14924]) ).
tcf(c_68282,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3285,c_14924]) ).
tcf(c_68283,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3176,c_14924]) ).
tcf(c_68284,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3034,c_14924]) ).
tcf(c_68285,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2793,c_14924]) ).
tcf(c_68286,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2649,c_14924]) ).
tcf(c_68287,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_21,X0)),multiply(sk_c4,multiply(multiply(sk_c9,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2921,c_14924]) ).
tcf(c_68288,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_48864,c_14924]) ).
tcf(c_68289,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_45348,c_14924]) ).
tcf(c_68290,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_44887,c_14924]) ).
tcf(c_68291,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_44839,c_14924]) ).
tcf(c_68292,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,X0)),multiply(sk_c5,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2922,c_14924]) ).
tcf(c_68293,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_18,X0)),multiply(sk_c8,multiply(multiply(sk_c9,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2923,c_14924]) ).
tcf(c_68294,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c7,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2924,c_14924]) ).
tcf(c_68295,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_26849,c_14924]) ).
tcf(c_68296,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_25,X0)),multiply(sk_c1,multiply(multiply(sk_c9,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2925,c_14924]) ).
tcf(c_68297,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_24,X0)),multiply(sk_c10,multiply(multiply(sk_c3,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2926,c_14924]) ).
tcf(c_68298,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_23,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_54058,c_14924]) ).
tcf(c_68299,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_23,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_12415,c_14924]) ).
tcf(c_68300,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_23,X0)),multiply(sk_c2,multiply(multiply(sk_c10,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2927,c_14924]) ).
tcf(c_68301,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(inverse(X1),multiply(multiply(X1,X0),X2))) = X2,
inference(superposition,[status(thm)],[c_14868,c_14924]) ).
tcf(c_68302,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_26,multiply(multiply(sk_c1,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2948,c_14924]) ).
tcf(c_68303,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(sk_c10,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2947,c_14924]) ).
tcf(c_68304,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_22,multiply(multiply(sk_c4,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2946,c_14924]) ).
tcf(c_68305,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_19,multiply(multiply(sk_c5,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2945,c_14924]) ).
tcf(c_68306,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_17,multiply(multiply(sk_c7,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2944,c_14924]) ).
tcf(c_68307,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(sk_c6,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2943,c_14924]) ).
tcf(c_68308,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(sk_c2,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2942,c_14924]) ).
tcf(c_68309,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_66391,c_14924]) ).
tcf(c_68310,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_66117,c_14924]) ).
tcf(c_68311,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_64314,c_14924]) ).
tcf(c_68312,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63442,c_14924]) ).
tcf(c_68313,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_60865,c_14924]) ).
tcf(c_68314,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_59007,c_14924]) ).
tcf(c_68315,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_58343,c_14924]) ).
tcf(c_68316,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_56951,c_14924]) ).
tcf(c_68317,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(iPr_def_15,multiply(iPr_def_23,X0))) = X0,
inference(superposition,[status(thm)],[c_5120,c_14924]) ).
tcf(c_68318,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c10,X0)),multiply(iPr_def_15,multiply(multiply(iPr_def_23,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5123,c_14924]) ).
tcf(c_68319,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5133,c_14924]) ).
tcf(c_68320,plain,
! [X0: $i,X1: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5131,c_14924]) ).
tcf(c_68321,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5129,c_14924]) ).
tcf(c_68322,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5127,c_14924]) ).
tcf(c_68323,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5125,c_14924]) ).
tcf(c_68324,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5134,c_14924]) ).
tcf(c_68325,plain,
! [X0: $i,X1: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5132,c_14924]) ).
tcf(c_68326,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5130,c_14924]) ).
tcf(c_68327,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5128,c_14924]) ).
tcf(c_68328,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5126,c_14924]) ).
tcf(c_68329,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_17,multiply(iPr_def_14,X0))) = X0,
inference(superposition,[status(thm)],[c_5198,c_14924]) ).
tcf(c_68330,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(iPr_def_17,multiply(multiply(iPr_def_14,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5201,c_14924]) ).
tcf(c_68331,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_19,multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_5211,c_14924]) ).
tcf(c_68332,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c7,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5354,c_14924]) ).
tcf(c_68333,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(iPr_def_19,multiply(multiply(iPr_def_20,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5362,c_14924]) ).
tcf(c_68334,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(iPr_def_22,multiply(iPr_def_21,X0))) = X0,
inference(superposition,[status(thm)],[c_5364,c_14924]) ).
tcf(c_68335,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c9,X0)),multiply(iPr_def_22,multiply(multiply(iPr_def_21,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5372,c_14924]) ).
tcf(c_68336,plain,
! [X0: $i] : multiply(inverse(sk_c3),multiply(iPr_def_13,multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_5374,c_14924]) ).
tcf(c_68337,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_22,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5375,c_14924]) ).
tcf(c_68338,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_22,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5399,c_14924]) ).
tcf(c_68339,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_21,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5376,c_14924]) ).
tcf(c_68340,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_21,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5400,c_14924]) ).
tcf(c_68341,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_20,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5377,c_14924]) ).
tcf(c_68342,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_20,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5401,c_14924]) ).
tcf(c_68343,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5380,c_14924]) ).
tcf(c_68344,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5378,c_14924]) ).
tcf(c_68345,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5394,c_14924]) ).
tcf(c_68346,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5393,c_14924]) ).
tcf(c_68347,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5392,c_14924]) ).
tcf(c_68348,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_26,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5391,c_14924]) ).
tcf(c_68349,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5379,c_14924]) ).
tcf(c_68350,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5402,c_14924]) ).
tcf(c_68351,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5382,c_14924]) ).
tcf(c_68352,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5381,c_14924]) ).
tcf(c_68353,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5398,c_14924]) ).
tcf(c_68354,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5397,c_14924]) ).
tcf(c_68355,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5396,c_14924]) ).
tcf(c_68356,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_13,multiply(multiply(iPr_def_25,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5395,c_14924]) ).
tcf(c_68357,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_66606,c_14924]) ).
tcf(c_68358,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_56204,c_14924]) ).
tcf(c_68359,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c3,X0)),multiply(iPr_def_13,multiply(multiply(iPr_def_24,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5564,c_14924]) ).
tcf(c_68360,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(iPr_def_26,multiply(iPr_def_25,X0))) = X0,
inference(superposition,[status(thm)],[c_5612,c_14924]) ).
tcf(c_68361,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c9,X0)),multiply(iPr_def_26,multiply(multiply(iPr_def_25,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5615,c_14924]) ).
tcf(c_68362,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_26,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5935,c_14924]) ).
tcf(c_68363,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_26,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5621,c_14924]) ).
tcf(c_68364,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c7,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5867,c_14924]) ).
tcf(c_68365,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_25,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5957,c_14924]) ).
tcf(c_68366,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9666,c_14924]) ).
tcf(c_68367,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8957,c_14924]) ).
tcf(c_68368,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6034,c_14924]) ).
tcf(c_68369,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9344,c_14924]) ).
tcf(c_68370,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8689,c_14924]) ).
tcf(c_68371,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6074,c_14924]) ).
tcf(c_68372,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c5,multiply(multiply(iPr_def_19,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_39638,c_14924]) ).
tcf(c_68373,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7255,c_14924]) ).
tcf(c_68374,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7180,c_14924]) ).
tcf(c_68375,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6849,c_14924]) ).
tcf(c_68376,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_26,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6425,c_14924]) ).
tcf(c_68377,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7259,c_14924]) ).
tcf(c_68378,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7184,c_14924]) ).
tcf(c_68379,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6853,c_14924]) ).
tcf(c_68380,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6429,c_14924]) ).
tcf(c_68381,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c2,multiply(multiply(iPr_def_15,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_53869,c_14924]) ).
tcf(c_68382,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c9)),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_10789,c_14924]) ).
tcf(c_68383,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34644,c_14924]) ).
tcf(c_68384,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_24,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_11139,c_14924]) ).
tcf(c_68385,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,sk_c3)),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_12170,c_14924]) ).
tcf(c_68386,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_14,sk_c9)),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_11416,c_14924]) ).
tcf(c_68387,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_16805,c_14924]) ).
tcf(c_68388,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_56116,c_14924]) ).
tcf(c_68389,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(inverse(sk_c8),multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_14917,c_14924]) ).
tcf(c_68391,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,multiply(identity,X1))) = X1,
inference(superposition,[status(thm)],[c_15955,c_14924]) ).
tcf(c_68392,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c1,multiply(multiply(iPr_def_26,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_23565,c_14924]) ).
tcf(c_68393,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c10,multiply(multiply(iPr_def_13,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_34530,c_14924]) ).
tcf(c_68394,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34645,c_14924]) ).
tcf(c_68395,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_21,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34643,c_14924]) ).
tcf(c_68396,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34642,c_14924]) ).
tcf(c_68397,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34641,c_14924]) ).
tcf(c_68398,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34640,c_14924]) ).
tcf(c_68399,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34639,c_14924]) ).
tcf(c_68400,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34638,c_14924]) ).
tcf(c_68401,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_23,multiply(iPr_def_13,X0))) = X0,
inference(superposition,[status(thm)],[c_38018,c_14924]) ).
tcf(c_68402,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(iPr_def_13,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_35337,c_14924]) ).
tcf(c_68403,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(iPr_def_13,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_34934,c_14924]) ).
tcf(c_68404,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(iPr_def_13,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_35573,c_14924]) ).
tcf(c_68405,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(iPr_def_13,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_35572,c_14924]) ).
tcf(c_68406,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_13,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_35577,c_14924]) ).
tcf(c_68407,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(multiply(iPr_def_13,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_35576,c_14924]) ).
tcf(c_68408,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_21,multiply(multiply(iPr_def_13,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_35575,c_14924]) ).
tcf(c_68409,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(multiply(iPr_def_13,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_35574,c_14924]) ).
tcf(c_68410,plain,
! [X0: $i] : multiply(inverse(iPr_def_13),multiply(inverse(iPr_def_23),multiply(sk_c2,X0))) = X0,
inference(superposition,[status(thm)],[c_38028,c_14924]) ).
tcf(c_68411,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_13,X0)),multiply(inverse(iPr_def_23),multiply(multiply(sk_c2,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_38079,c_14924]) ).
tcf(c_68412,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c4,multiply(multiply(iPr_def_22,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_39109,c_14924]) ).
tcf(c_68413,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c7,multiply(multiply(iPr_def_17,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_45370,c_14924]) ).
tcf(c_68414,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c6,multiply(multiply(iPr_def_16,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_49050,c_14924]) ).
tcf(c_68415,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_49100,c_14924]) ).
tcf(c_68416,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_49098,c_14924]) ).
tcf(c_68417,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_49096,c_14924]) ).
tcf(c_68418,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_49094,c_14924]) ).
tcf(c_68419,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_49092,c_14924]) ).
tcf(c_68420,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_49312,c_14924]) ).
tcf(c_68421,plain,
! [X0: $i,X1: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_49266,c_14924]) ).
tcf(c_68422,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_49211,c_14924]) ).
tcf(c_68423,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_49191,c_14924]) ).
tcf(c_68424,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_49141,c_14924]) ).
tcf(c_68425,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(identity,X0)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_98,c_14924]) ).
tcf(c_68426,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),identity) = X1,
inference(superposition,[status(thm)],[c_99,c_14924]) ).
tcf(c_68427,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_100,c_14924]) ).
tcf(c_68428,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,sk_c9)),multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_2921,c_14924]) ).
tcf(c_68429,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_48864,c_14924]) ).
tcf(c_68430,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_45348,c_14924]) ).
tcf(c_68431,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_44887,c_14924]) ).
tcf(c_68432,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_44839,c_14924]) ).
tcf(c_68433,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,sk_c8)),multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_2922,c_14924]) ).
tcf(c_68434,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,sk_c9)),multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_2923,c_14924]) ).
tcf(c_68435,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,sk_c8)),multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_2924,c_14924]) ).
tcf(c_68436,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_25,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26849,c_14924]) ).
tcf(c_68437,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,sk_c9)),multiply(iPr_def_25,X0)) = X0,
inference(superposition,[status(thm)],[c_2925,c_14924]) ).
tcf(c_68438,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c10,sk_c3)),multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_2926,c_14924]) ).
tcf(c_68439,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_23,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_54058,c_14924]) ).
tcf(c_68440,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_12415,c_14924]) ).
tcf(c_68441,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,sk_c10)),multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_2927,c_14924]) ).
tcf(c_68442,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_14868,c_14924]) ).
tcf(c_68443,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_26,sk_c1)),X0) = X0,
inference(superposition,[status(thm)],[c_2948,c_14924]) ).
tcf(c_68444,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_13,sk_c10)),X0) = X0,
inference(superposition,[status(thm)],[c_2947,c_14924]) ).
tcf(c_68445,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_22,sk_c4)),X0) = X0,
inference(superposition,[status(thm)],[c_2946,c_14924]) ).
tcf(c_68446,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,sk_c5)),X0) = X0,
inference(superposition,[status(thm)],[c_2945,c_14924]) ).
tcf(c_68447,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,sk_c7)),X0) = X0,
inference(superposition,[status(thm)],[c_2944,c_14924]) ).
tcf(c_68448,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c6)),X0) = X0,
inference(superposition,[status(thm)],[c_2943,c_14924]) ).
tcf(c_68449,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,sk_c2)),X0) = X0,
inference(superposition,[status(thm)],[c_2942,c_14924]) ).
tcf(c_68450,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,iPr_def_23)),multiply(sk_c10,X0)) = X0,
inference(superposition,[status(thm)],[c_5123,c_14924]) ).
tcf(c_68451,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5133,c_14924]) ).
tcf(c_68452,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5131,c_14924]) ).
tcf(c_68453,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5129,c_14924]) ).
tcf(c_68454,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5127,c_14924]) ).
tcf(c_68455,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5125,c_14924]) ).
tcf(c_68456,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5134,c_14924]) ).
tcf(c_68457,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5132,c_14924]) ).
tcf(c_68458,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5130,c_14924]) ).
tcf(c_68459,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5128,c_14924]) ).
tcf(c_68460,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5126,c_14924]) ).
tcf(c_68461,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,iPr_def_14)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_5201,c_14924]) ).
tcf(c_68462,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c7,iPr_def_19)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5354,c_14924]) ).
tcf(c_68463,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,iPr_def_20)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_5362,c_14924]) ).
tcf(c_68464,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_22,iPr_def_21)),multiply(sk_c9,X0)) = X0,
inference(superposition,[status(thm)],[c_5372,c_14924]) ).
tcf(c_68465,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_22)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5375,c_14924]) ).
tcf(c_68466,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_22)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5399,c_14924]) ).
tcf(c_68467,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_21)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5376,c_14924]) ).
tcf(c_68468,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_21)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5400,c_14924]) ).
tcf(c_68469,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_20)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5377,c_14924]) ).
tcf(c_68470,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_20)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5401,c_14924]) ).
tcf(c_68471,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_26)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5380,c_14924]) ).
tcf(c_68472,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_26)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5378,c_14924]) ).
tcf(c_68473,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_26)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5394,c_14924]) ).
tcf(c_68474,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_26)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5393,c_14924]) ).
tcf(c_68475,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_26)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5392,c_14924]) ).
tcf(c_68476,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_26)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5391,c_14924]) ).
tcf(c_68477,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5379,c_14924]) ).
tcf(c_68478,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5402,c_14924]) ).
tcf(c_68479,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_25)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5382,c_14924]) ).
tcf(c_68480,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_25)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5381,c_14924]) ).
tcf(c_68481,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_25)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5398,c_14924]) ).
tcf(c_68482,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_25)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5397,c_14924]) ).
tcf(c_68483,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_25)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5396,c_14924]) ).
tcf(c_68484,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_13,iPr_def_25)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5395,c_14924]) ).
tcf(c_68485,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_13,iPr_def_24)),multiply(sk_c3,X0)) = X0,
inference(superposition,[status(thm)],[c_5564,c_14924]) ).
tcf(c_68486,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_26,iPr_def_25)),multiply(sk_c9,X0)) = X0,
inference(superposition,[status(thm)],[c_5615,c_14924]) ).
tcf(c_68487,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c7,iPr_def_16)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5867,c_14924]) ).
tcf(c_68488,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,iPr_def_19)),X0) = X0,
inference(superposition,[status(thm)],[c_39638,c_14924]) ).
tcf(c_68489,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,iPr_def_15)),X0) = X0,
inference(superposition,[status(thm)],[c_53869,c_14924]) ).
tcf(c_68491,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,iPr_def_26)),X0) = X0,
inference(superposition,[status(thm)],[c_23565,c_14924]) ).
tcf(c_68492,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c10,iPr_def_13)),X0) = X0,
inference(superposition,[status(thm)],[c_34530,c_14924]) ).
tcf(c_68493,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_25,iPr_def_13)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35337,c_14924]) ).
tcf(c_68494,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_25,iPr_def_13)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34934,c_14924]) ).
tcf(c_68495,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_25,iPr_def_13)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35573,c_14924]) ).
tcf(c_68496,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_25,iPr_def_13)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35572,c_14924]) ).
tcf(c_68497,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_13)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35577,c_14924]) ).
tcf(c_68498,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,iPr_def_13)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35576,c_14924]) ).
tcf(c_68499,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_21,iPr_def_13)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35575,c_14924]) ).
tcf(c_68500,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_22,iPr_def_13)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35574,c_14924]) ).
tcf(c_68501,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(iPr_def_23),sk_c2)),multiply(iPr_def_13,X0)) = X0,
inference(superposition,[status(thm)],[c_38079,c_14924]) ).
tcf(c_68502,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,iPr_def_22)),X0) = X0,
inference(superposition,[status(thm)],[c_39109,c_14924]) ).
tcf(c_68503,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,iPr_def_17)),X0) = X0,
inference(superposition,[status(thm)],[c_45370,c_14924]) ).
tcf(c_68504,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,iPr_def_16)),X0) = X0,
inference(superposition,[status(thm)],[c_49050,c_14924]) ).
tcf(c_68505,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_49312,c_14924]) ).
tcf(c_68506,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_49266,c_14924]) ).
tcf(c_68507,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_49211,c_14924]) ).
tcf(c_68508,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_49191,c_14924]) ).
tcf(c_68509,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_49141,c_14924]) ).
tcf(c_68510,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = sk_c9,
inference(superposition,[status(thm)],[c_39267,c_14924]) ).
tcf(c_68512,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_20)) = sk_c8,
inference(superposition,[status(thm)],[c_39704,c_14924]) ).
tcf(c_68514,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = sk_c9,
inference(superposition,[status(thm)],[c_572,c_14924]) ).
tcf(c_68515,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = sk_c8,
inference(superposition,[status(thm)],[c_47077,c_14924]) ).
tcf(c_68517,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = sk_c9,
inference(superposition,[status(thm)],[c_24054,c_14924]) ).
tcf(c_68519,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = sk_c3,
inference(superposition,[status(thm)],[c_35613,c_14924]) ).
tcf(c_68521,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = sk_c10,
inference(superposition,[status(thm)],[c_54513,c_14924]) ).
tcf(c_68523,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,identity)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_98,c_14924]) ).
tcf(c_68524,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,identity)) = X1,
inference(superposition,[status(thm)],[c_99,c_14924]) ).
tcf(c_68525,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_100,c_14924]) ).
tcf(c_68526,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1906,c_14924]) ).
tcf(c_68527,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1530,c_14924]) ).
tcf(c_68528,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1242,c_14924]) ).
tcf(c_68529,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_970,c_14924]) ).
tcf(c_68530,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1780,c_14924]) ).
tcf(c_68531,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1440,c_14924]) ).
tcf(c_68532,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1164,c_14924]) ).
tcf(c_68533,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_971,c_14924]) ).
tcf(c_68534,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1905,c_14924]) ).
tcf(c_68535,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1529,c_14924]) ).
tcf(c_68536,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1241,c_14924]) ).
tcf(c_68537,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1045,c_14924]) ).
tcf(c_68538,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1779,c_14924]) ).
tcf(c_68539,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1439,c_14924]) ).
tcf(c_68540,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1163,c_14924]) ).
tcf(c_68541,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1046,c_14924]) ).
tcf(c_68542,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2201,c_14924]) ).
tcf(c_68543,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1707,c_14924]) ).
tcf(c_68544,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1047,c_14924]) ).
tcf(c_68545,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,identity)) = iPr_def_19,
inference(superposition,[status(thm)],[c_39635,c_14924]) ).
tcf(c_68546,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1778,c_14924]) ).
tcf(c_68547,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1438,c_14924]) ).
tcf(c_68548,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1162,c_14924]) ).
tcf(c_68549,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1055,c_14924]) ).
tcf(c_68550,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2200,c_14924]) ).
tcf(c_68551,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1706,c_14924]) ).
tcf(c_68552,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1060,c_14924]) ).
tcf(c_68553,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_25507,c_14924]) ).
tcf(c_68554,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_5001,c_14924]) ).
tcf(c_68555,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1063,c_14924]) ).
tcf(c_68556,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26966,c_14924]) ).
tcf(c_68557,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4817,c_14924]) ).
tcf(c_68558,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1064,c_14924]) ).
tcf(c_68559,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27327,c_14924]) ).
tcf(c_68560,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4530,c_14924]) ).
tcf(c_68561,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1065,c_14924]) ).
tcf(c_68562,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27708,c_14924]) ).
tcf(c_68563,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4218,c_14924]) ).
tcf(c_68564,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1066,c_14924]) ).
tcf(c_68565,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_25506,c_14924]) ).
tcf(c_68566,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_5000,c_14924]) ).
tcf(c_68567,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1075,c_14924]) ).
tcf(c_68568,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_26965,c_14924]) ).
tcf(c_68569,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4816,c_14924]) ).
tcf(c_68570,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1076,c_14924]) ).
tcf(c_68571,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_27326,c_14924]) ).
tcf(c_68572,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4529,c_14924]) ).
tcf(c_68573,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1077,c_14924]) ).
tcf(c_68574,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_27707,c_14924]) ).
tcf(c_68575,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4217,c_14924]) ).
tcf(c_68576,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1078,c_14924]) ).
tcf(c_68577,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3720,c_14924]) ).
tcf(c_68578,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1139,c_14924]) ).
tcf(c_68579,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1132,c_14924]) ).
tcf(c_68580,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1125,c_14924]) ).
tcf(c_68581,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_16 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1082,c_14924]) ).
tcf(c_68582,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1081,c_14924]) ).
tcf(c_68583,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1080,c_14924]) ).
tcf(c_68584,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1079,c_14924]) ).
tcf(c_68585,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2199,c_14924]) ).
tcf(c_68586,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1705,c_14924]) ).
tcf(c_68587,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1099,c_14924]) ).
tcf(c_68588,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = sk_c1,
inference(superposition,[status(thm)],[c_1102,c_14924]) ).
tcf(c_68589,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = sk_c10,
inference(superposition,[status(thm)],[c_1103,c_14924]) ).
tcf(c_68590,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = sk_c4,
inference(superposition,[status(thm)],[c_1104,c_14924]) ).
tcf(c_68591,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,identity)) = sk_c5,
inference(superposition,[status(thm)],[c_1105,c_14924]) ).
tcf(c_68592,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,identity)) = sk_c7,
inference(superposition,[status(thm)],[c_1106,c_14924]) ).
tcf(c_68593,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = sk_c6,
inference(superposition,[status(thm)],[c_1107,c_14924]) ).
tcf(c_68594,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = sk_c2,
inference(superposition,[status(thm)],[c_1108,c_14924]) ).
tcf(c_68595,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4999,c_14924]) ).
tcf(c_68596,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1109,c_14924]) ).
tcf(c_68597,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4815,c_14924]) ).
tcf(c_68598,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1110,c_14924]) ).
tcf(c_68599,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4528,c_14924]) ).
tcf(c_68600,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1111,c_14924]) ).
tcf(c_68601,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4216,c_14924]) ).
tcf(c_68602,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1112,c_14924]) ).
tcf(c_68603,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44213,c_14924]) ).
tcf(c_68604,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_14924]) ).
tcf(c_68605,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3733,c_14924]) ).
tcf(c_68606,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1357,c_14924]) ).
tcf(c_68607,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1327,c_14924]) ).
tcf(c_68608,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1303,c_14924]) ).
tcf(c_68609,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1279,c_14924]) ).
tcf(c_68610,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1201,c_14924]) ).
tcf(c_68611,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44214,c_14924]) ).
tcf(c_68612,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3817,c_14924]) ).
tcf(c_68613,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3734,c_14924]) ).
tcf(c_68614,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1358,c_14924]) ).
tcf(c_68615,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1328,c_14924]) ).
tcf(c_68616,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1304,c_14924]) ).
tcf(c_68617,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1280,c_14924]) ).
tcf(c_68618,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1202,c_14924]) ).
tcf(c_68619,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_44215,c_14924]) ).
tcf(c_68620,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3818,c_14924]) ).
tcf(c_68621,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3735,c_14924]) ).
tcf(c_68622,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1359,c_14924]) ).
tcf(c_68623,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1329,c_14924]) ).
tcf(c_68624,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1305,c_14924]) ).
tcf(c_68625,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1281,c_14924]) ).
tcf(c_68626,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1203,c_14924]) ).
tcf(c_68627,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1749,c_14924]) ).
tcf(c_68628,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1410,c_14924]) ).
tcf(c_68629,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1408,c_14924]) ).
tcf(c_68630,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1406,c_14924]) ).
tcf(c_68631,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1404,c_14924]) ).
tcf(c_68632,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1809,c_14924]) ).
tcf(c_68633,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1459,c_14924]) ).
tcf(c_68634,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1409,c_14924]) ).
tcf(c_68635,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1407,c_14924]) ).
tcf(c_68636,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1405,c_14924]) ).
tcf(c_68637,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3987,c_14924]) ).
tcf(c_68638,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3908,c_14924]) ).
tcf(c_68639,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1645,c_14924]) ).
tcf(c_68640,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1596,c_14924]) ).
tcf(c_68641,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1554,c_14924]) ).
tcf(c_68642,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1485,c_14924]) ).
tcf(c_68643,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_44069,c_14924]) ).
tcf(c_68644,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3988,c_14924]) ).
tcf(c_68645,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3909,c_14924]) ).
tcf(c_68646,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1646,c_14924]) ).
tcf(c_68647,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1597,c_14924]) ).
tcf(c_68648,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1555,c_14924]) ).
tcf(c_68649,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1486,c_14924]) ).
tcf(c_68650,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_44070,c_14924]) ).
tcf(c_68651,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3989,c_14924]) ).
tcf(c_68652,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3910,c_14924]) ).
tcf(c_68653,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1647,c_14924]) ).
tcf(c_68654,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1598,c_14924]) ).
tcf(c_68655,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1556,c_14924]) ).
tcf(c_68656,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1487,c_14924]) ).
tcf(c_68657,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4422,c_14924]) ).
tcf(c_68658,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4096,c_14924]) ).
tcf(c_68659,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2102,c_14924]) ).
tcf(c_68660,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2027,c_14924]) ).
tcf(c_68661,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1957,c_14924]) ).
tcf(c_68662,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1843,c_14924]) ).
tcf(c_68663,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_64851,c_14924]) ).
tcf(c_68664,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_63671,c_14924]) ).
tcf(c_68665,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_62964,c_14924]) ).
tcf(c_68666,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_60524,c_14924]) ).
tcf(c_68667,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_58623,c_14924]) ).
tcf(c_68668,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_57353,c_14924]) ).
tcf(c_68669,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_43803,c_14924]) ).
tcf(c_68670,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4423,c_14924]) ).
tcf(c_68671,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4097,c_14924]) ).
tcf(c_68672,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2103,c_14924]) ).
tcf(c_68673,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2028,c_14924]) ).
tcf(c_68674,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1958,c_14924]) ).
tcf(c_68675,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1844,c_14924]) ).
tcf(c_68676,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64852,c_14924]) ).
tcf(c_68677,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_63672,c_14924]) ).
tcf(c_68678,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62965,c_14924]) ).
tcf(c_68679,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_60525,c_14924]) ).
tcf(c_68680,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58624,c_14924]) ).
tcf(c_68681,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57354,c_14924]) ).
tcf(c_68682,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_43804,c_14924]) ).
tcf(c_68683,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4424,c_14924]) ).
tcf(c_68684,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4098,c_14924]) ).
tcf(c_68685,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2104,c_14924]) ).
tcf(c_68686,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2029,c_14924]) ).
tcf(c_68687,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1959,c_14924]) ).
tcf(c_68688,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1845,c_14924]) ).
tcf(c_68689,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = iPr_def_13,
inference(superposition,[status(thm)],[c_34527,c_14924]) ).
tcf(c_68690,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_52660,c_14924]) ).
tcf(c_68691,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50278,c_14924]) ).
tcf(c_68692,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48478,c_14924]) ).
tcf(c_68693,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26788,c_14924]) ).
tcf(c_68694,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26546,c_14924]) ).
tcf(c_68695,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26422,c_14924]) ).
tcf(c_68696,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25284,c_14924]) ).
tcf(c_68697,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25055,c_14924]) ).
tcf(c_68698,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24883,c_14924]) ).
tcf(c_68699,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66485,c_14924]) ).
tcf(c_68700,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,identity)) = iPr_def_15,
inference(superposition,[status(thm)],[c_53866,c_14924]) ).
tcf(c_68701,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,identity)) = iPr_def_16,
inference(superposition,[status(thm)],[c_49047,c_14924]) ).
tcf(c_68702,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,identity)) = iPr_def_17,
inference(superposition,[status(thm)],[c_45367,c_14924]) ).
tcf(c_68703,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = iPr_def_22,
inference(superposition,[status(thm)],[c_39106,c_14924]) ).
tcf(c_68704,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_64468,c_14924]) ).
tcf(c_68705,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_63520,c_14924]) ).
tcf(c_68706,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_60965,c_14924]) ).
tcf(c_68707,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_60377,c_14924]) ).
tcf(c_68708,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_58423,c_14924]) ).
tcf(c_68709,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_57103,c_14924]) ).
tcf(c_68710,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_44747,c_14924]) ).
tcf(c_68711,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_21)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_39440,c_14924]) ).
tcf(c_68712,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24760,c_14924]) ).
tcf(c_68713,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24515,c_14924]) ).
tcf(c_68714,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24472,c_14924]) ).
tcf(c_68715,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24428,c_14924]) ).
tcf(c_68716,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24368,c_14924]) ).
tcf(c_68717,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24214,c_14924]) ).
tcf(c_68718,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_66710,c_14924]) ).
tcf(c_68719,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,identity)) = iPr_def_26,
inference(superposition,[status(thm)],[c_23562,c_14924]) ).
tcf(c_68720,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3620,c_14924]) ).
tcf(c_68721,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3508,c_14924]) ).
tcf(c_68722,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3389,c_14924]) ).
tcf(c_68723,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3284,c_14924]) ).
tcf(c_68724,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3175,c_14924]) ).
tcf(c_68725,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3033,c_14924]) ).
tcf(c_68726,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2792,c_14924]) ).
tcf(c_68727,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2648,c_14924]) ).
tcf(c_68728,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_44428,c_14924]) ).
tcf(c_68729,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3621,c_14924]) ).
tcf(c_68730,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3509,c_14924]) ).
tcf(c_68731,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3390,c_14924]) ).
tcf(c_68732,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3285,c_14924]) ).
tcf(c_68733,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3176,c_14924]) ).
tcf(c_68734,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3034,c_14924]) ).
tcf(c_68735,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2793,c_14924]) ).
tcf(c_68736,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_2649,c_14924]) ).
tcf(c_68737,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,multiply(iPr_def_21,X1))) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_2921,c_14924]) ).
tcf(c_68738,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_48864,c_14924]) ).
tcf(c_68739,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_45348,c_14924]) ).
tcf(c_68740,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_44887,c_14924]) ).
tcf(c_68741,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_44839,c_14924]) ).
tcf(c_68742,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_2922,c_14924]) ).
tcf(c_68743,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_2923,c_14924]) ).
tcf(c_68744,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_2924,c_14924]) ).
tcf(c_68745,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26849,c_14924]) ).
tcf(c_68746,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,multiply(iPr_def_25,X1))) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_2925,c_14924]) ).
tcf(c_68747,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c10)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(sk_c3,X1),
inference(superposition,[status(thm)],[c_2926,c_14924]) ).
tcf(c_68748,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_54058,c_14924]) ).
tcf(c_68749,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_12415,c_14924]) ).
tcf(c_68750,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(iPr_def_23,X1))) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_2927,c_14924]) ).
tcf(c_68751,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_14868,c_14924]) ).
tcf(c_68752,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,X1)) = multiply(sk_c1,X1),
inference(superposition,[status(thm)],[c_2948,c_14924]) ).
tcf(c_68753,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_2947,c_14924]) ).
tcf(c_68754,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = multiply(sk_c4,X1),
inference(superposition,[status(thm)],[c_2946,c_14924]) ).
tcf(c_68755,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,X1)) = multiply(sk_c5,X1),
inference(superposition,[status(thm)],[c_2945,c_14924]) ).
tcf(c_68756,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = multiply(sk_c7,X1),
inference(superposition,[status(thm)],[c_2944,c_14924]) ).
tcf(c_68757,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(sk_c6,X1),
inference(superposition,[status(thm)],[c_2943,c_14924]) ).
tcf(c_68758,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(sk_c2,X1),
inference(superposition,[status(thm)],[c_2942,c_14924]) ).
tcf(c_68759,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66391,c_14924]) ).
tcf(c_68760,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66117,c_14924]) ).
tcf(c_68761,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_64314,c_14924]) ).
tcf(c_68762,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_63442,c_14924]) ).
tcf(c_68763,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_60865,c_14924]) ).
tcf(c_68764,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_59007,c_14924]) ).
tcf(c_68765,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_58343,c_14924]) ).
tcf(c_68766,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_56951,c_14924]) ).
tcf(c_68767,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,sk_c10)) = iPr_def_23,
inference(superposition,[status(thm)],[c_5120,c_14924]) ).
tcf(c_68768,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,multiply(sk_c10,X1))) = multiply(iPr_def_23,X1),
inference(superposition,[status(thm)],[c_5123,c_14924]) ).
tcf(c_68769,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_5133,c_14924]) ).
tcf(c_68770,plain,
! [X0: $i,X1: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_5131,c_14924]) ).
tcf(c_68771,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_5129,c_14924]) ).
tcf(c_68772,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_5127,c_14924]) ).
tcf(c_68773,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_5125,c_14924]) ).
tcf(c_68774,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_5134,c_14924]) ).
tcf(c_68775,plain,
! [X0: $i,X1: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_5132,c_14924]) ).
tcf(c_68776,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_5130,c_14924]) ).
tcf(c_68777,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_5128,c_14924]) ).
tcf(c_68778,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_5126,c_14924]) ).
tcf(c_68779,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,sk_c8)) = iPr_def_14,
inference(superposition,[status(thm)],[c_5198,c_14924]) ).
tcf(c_68780,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,multiply(sk_c8,X1))) = multiply(iPr_def_14,X1),
inference(superposition,[status(thm)],[c_5201,c_14924]) ).
tcf(c_68781,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,sk_c8)) = iPr_def_20,
inference(superposition,[status(thm)],[c_5211,c_14924]) ).
tcf(c_68782,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_5354,c_14924]) ).
tcf(c_68783,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,multiply(sk_c8,X1))) = multiply(iPr_def_20,X1),
inference(superposition,[status(thm)],[c_5362,c_14924]) ).
tcf(c_68784,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,sk_c9)) = iPr_def_21,
inference(superposition,[status(thm)],[c_5364,c_14924]) ).
tcf(c_68785,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,multiply(sk_c9,X1))) = multiply(iPr_def_21,X1),
inference(superposition,[status(thm)],[c_5372,c_14924]) ).
tcf(c_68786,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,sk_c3)) = iPr_def_24,
inference(superposition,[status(thm)],[c_5374,c_14924]) ).
tcf(c_68787,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_22,X1) ) ),
inference(superposition,[status(thm)],[c_5375,c_14924]) ).
tcf(c_68788,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_22,X1) ) ),
inference(superposition,[status(thm)],[c_5399,c_14924]) ).
tcf(c_68789,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_21,X1) ) ),
inference(superposition,[status(thm)],[c_5376,c_14924]) ).
tcf(c_68790,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_21,X1) ) ),
inference(superposition,[status(thm)],[c_5400,c_14924]) ).
tcf(c_68791,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_20,X1) ) ),
inference(superposition,[status(thm)],[c_5377,c_14924]) ).
tcf(c_68792,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_20,X1) ) ),
inference(superposition,[status(thm)],[c_5401,c_14924]) ).
tcf(c_68793,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_26,X1) ) ),
inference(superposition,[status(thm)],[c_5380,c_14924]) ).
tcf(c_68794,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_26,X1) ) ),
inference(superposition,[status(thm)],[c_5378,c_14924]) ).
tcf(c_68795,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_26,X1) ) ),
inference(superposition,[status(thm)],[c_5394,c_14924]) ).
tcf(c_68796,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_26,X1) ) ),
inference(superposition,[status(thm)],[c_5393,c_14924]) ).
tcf(c_68797,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_26,X1) ) ),
inference(superposition,[status(thm)],[c_5392,c_14924]) ).
tcf(c_68798,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_26,X1) ) ),
inference(superposition,[status(thm)],[c_5391,c_14924]) ).
tcf(c_68799,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_5379,c_14924]) ).
tcf(c_68800,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_5402,c_14924]) ).
tcf(c_68801,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_25,X1) ) ),
inference(superposition,[status(thm)],[c_5382,c_14924]) ).
tcf(c_68802,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_25,X1) ) ),
inference(superposition,[status(thm)],[c_5381,c_14924]) ).
tcf(c_68803,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_25,X1) ) ),
inference(superposition,[status(thm)],[c_5398,c_14924]) ).
tcf(c_68804,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_25,X1) ) ),
inference(superposition,[status(thm)],[c_5397,c_14924]) ).
tcf(c_68805,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_25,X1) ) ),
inference(superposition,[status(thm)],[c_5396,c_14924]) ).
tcf(c_68806,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,X1)) = multiply(iPr_def_25,X1) ) ),
inference(superposition,[status(thm)],[c_5395,c_14924]) ).
tcf(c_68807,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66606,c_14924]) ).
tcf(c_68808,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_56204,c_14924]) ).
tcf(c_68809,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,multiply(sk_c3,X1))) = multiply(iPr_def_24,X1),
inference(superposition,[status(thm)],[c_5564,c_14924]) ).
tcf(c_68810,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,sk_c9)) = iPr_def_25,
inference(superposition,[status(thm)],[c_5612,c_14924]) ).
tcf(c_68811,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,multiply(sk_c9,X1))) = multiply(iPr_def_25,X1),
inference(superposition,[status(thm)],[c_5615,c_14924]) ).
tcf(c_68812,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,sk_c9)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5935,c_14924]) ).
tcf(c_68813,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,sk_c9)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5621,c_14924]) ).
tcf(c_68814,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_5867,c_14924]) ).
tcf(c_68815,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,sk_c9)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5957,c_14924]) ).
tcf(c_68816,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9666,c_14924]) ).
tcf(c_68817,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8957,c_14924]) ).
tcf(c_68818,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6034,c_14924]) ).
tcf(c_68819,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9344,c_14924]) ).
tcf(c_68820,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8689,c_14924]) ).
tcf(c_68821,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6074,c_14924]) ).
tcf(c_68822,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,X1)) = multiply(iPr_def_19,X1),
inference(superposition,[status(thm)],[c_39638,c_14924]) ).
tcf(c_68823,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7255,c_14924]) ).
tcf(c_68824,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7180,c_14924]) ).
tcf(c_68825,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6849,c_14924]) ).
tcf(c_68826,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6425,c_14924]) ).
tcf(c_68827,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7259,c_14924]) ).
tcf(c_68828,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7184,c_14924]) ).
tcf(c_68829,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6853,c_14924]) ).
tcf(c_68830,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6429,c_14924]) ).
tcf(c_68831,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,X1)) = multiply(iPr_def_15,X1),
inference(superposition,[status(thm)],[c_53869,c_14924]) ).
tcf(c_68832,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,multiply(iPr_def_20,sk_c9))) = iPr_def_18,
inference(superposition,[status(thm)],[c_10789,c_14924]) ).
tcf(c_68833,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34644,c_14924]) ).
tcf(c_68834,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_11139,c_14924]) ).
tcf(c_68835,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(iPr_def_23,sk_c3))) = iPr_def_24,
inference(superposition,[status(thm)],[c_12170,c_14924]) ).
tcf(c_68836,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_14,sk_c9))) = iPr_def_18,
inference(superposition,[status(thm)],[c_11416,c_14924]) ).
tcf(c_68837,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_23)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_16805,c_14924]) ).
tcf(c_68838,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56116,c_14924]) ).
tcf(c_68839,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,sk_c9)) = iPr_def_18,
inference(superposition,[status(thm)],[c_14917,c_14924]) ).
tcf(c_68841,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = identity,
inference(superposition,[status(thm)],[c_15955,c_14924]) ).
tcf(c_68842,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,X1)) = multiply(iPr_def_26,X1),
inference(superposition,[status(thm)],[c_23565,c_14924]) ).
tcf(c_68843,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c10)),multiply(X0,X1)) = multiply(iPr_def_13,X1),
inference(superposition,[status(thm)],[c_34530,c_14924]) ).
tcf(c_68844,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34645,c_14924]) ).
tcf(c_68845,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,identity)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34643,c_14924]) ).
tcf(c_68846,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34642,c_14924]) ).
tcf(c_68847,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34641,c_14924]) ).
tcf(c_68848,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34640,c_14924]) ).
tcf(c_68849,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34639,c_14924]) ).
tcf(c_68850,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34638,c_14924]) ).
tcf(c_68851,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,sk_c2)) = iPr_def_13,
inference(superposition,[status(thm)],[c_38018,c_14924]) ).
tcf(c_68852,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(iPr_def_13,X1) ) ),
inference(superposition,[status(thm)],[c_35337,c_14924]) ).
tcf(c_68853,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(iPr_def_13,X1) ) ),
inference(superposition,[status(thm)],[c_34934,c_14924]) ).
tcf(c_68854,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(iPr_def_13,X1) ) ),
inference(superposition,[status(thm)],[c_35573,c_14924]) ).
tcf(c_68855,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(iPr_def_13,X1) ) ),
inference(superposition,[status(thm)],[c_35572,c_14924]) ).
tcf(c_68856,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_13,X1) ) ),
inference(superposition,[status(thm)],[c_35577,c_14924]) ).
tcf(c_68857,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = multiply(iPr_def_13,X1) ) ),
inference(superposition,[status(thm)],[c_35576,c_14924]) ).
tcf(c_68858,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,X1)) = multiply(iPr_def_13,X1) ) ),
inference(superposition,[status(thm)],[c_35575,c_14924]) ).
tcf(c_68859,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = multiply(iPr_def_13,X1) ) ),
inference(superposition,[status(thm)],[c_35574,c_14924]) ).
tcf(c_68860,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_23))),multiply(X0,iPr_def_13)) = sk_c2,
inference(superposition,[status(thm)],[c_38028,c_14924]) ).
tcf(c_68861,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_23))),multiply(X0,multiply(iPr_def_13,X1))) = multiply(sk_c2,X1),
inference(superposition,[status(thm)],[c_38079,c_14924]) ).
tcf(c_68862,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,X1)) = multiply(iPr_def_22,X1),
inference(superposition,[status(thm)],[c_39109,c_14924]) ).
tcf(c_68863,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,X1)) = multiply(iPr_def_17,X1),
inference(superposition,[status(thm)],[c_45370,c_14924]) ).
tcf(c_68864,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,X1)) = multiply(iPr_def_16,X1),
inference(superposition,[status(thm)],[c_49050,c_14924]) ).
tcf(c_68865,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49100,c_14924]) ).
tcf(c_68866,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49098,c_14924]) ).
tcf(c_68867,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49096,c_14924]) ).
tcf(c_68868,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49094,c_14924]) ).
tcf(c_68869,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_49092,c_14924]) ).
tcf(c_68870,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_49312,c_14924]) ).
tcf(c_68871,plain,
! [X0: $i,X1: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_49266,c_14924]) ).
tcf(c_68872,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_49211,c_14924]) ).
tcf(c_68873,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_49191,c_14924]) ).
tcf(c_68874,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_49141,c_14924]) ).
tcf(c_68875,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_14924,c_14924]) ).
tcf(c_68876,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_14924,c_14868]) ).
tcf(c_68877,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_14924,c_100]) ).
tcf(c_68878,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_14924,c_14924]) ).
tcf(c_68879,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),X2) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_14924,c_14924]) ).
tcf(c_68895,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),X0) = iPr_def_26,
inference(light_normalisation,[status(thm)],[c_68719,c_15955]) ).
tcf(c_68896,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),X0) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_68703,c_15955]) ).
tcf(c_68897,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),X0) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_68702,c_15955]) ).
tcf(c_68898,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),X0) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_68701,c_15955]) ).
tcf(c_68899,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_68700,c_15955]) ).
tcf(c_68900,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c10)),X0) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_68689,c_15955]) ).
tcf(c_68901,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),X0) = sk_c2,
inference(light_normalisation,[status(thm)],[c_68594,c_15955]) ).
tcf(c_68902,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),X0) = sk_c6,
inference(light_normalisation,[status(thm)],[c_68593,c_15955]) ).
tcf(c_68903,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),X0) = sk_c7,
inference(light_normalisation,[status(thm)],[c_68592,c_15955]) ).
tcf(c_68904,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),X0) = sk_c5,
inference(light_normalisation,[status(thm)],[c_68591,c_15955]) ).
tcf(c_68905,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_22)),X0) = sk_c4,
inference(light_normalisation,[status(thm)],[c_68590,c_15955]) ).
tcf(c_68906,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_13)),X0) = sk_c10,
inference(light_normalisation,[status(thm)],[c_68589,c_15955]) ).
tcf(c_68907,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_26)),X0) = sk_c1,
inference(light_normalisation,[status(thm)],[c_68588,c_15955]) ).
tcf(c_68908,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),X0) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_68545,c_15955]) ).
tcf(c_68910,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_68486,c_5612]) ).
tcf(c_68911,plain,
! [X0: $i] : multiply(inverse(sk_c3),multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_68485,c_5374]) ).
tcf(c_68913,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_68463,c_5211]) ).
tcf(c_68917,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_24,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_68438,c_35613]) ).
tcf(c_68918,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),multiply(iPr_def_25,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_68437,c_24054]) ).
tcf(c_68919,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(iPr_def_14,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_68435,c_47077]) ).
tcf(c_68920,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),multiply(iPr_def_18,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_68434,c_572]) ).
tcf(c_68921,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(iPr_def_20,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_68433,c_39704]) ).
tcf(c_68922,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),multiply(iPr_def_21,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_68428,c_39267]) ).
tcf(c_68952,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(light_normalisation,[status(thm)],[c_68524,c_15955]) ).
tcf(c_69043,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_14,sk_c9)),multiply(iPr_def_14,multiply(sk_c9,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_68386,c_11425]) ).
tcf(c_69044,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,sk_c3)),multiply(iPr_def_23,multiply(sk_c3,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_68385,c_12178]) ).
tcf(c_69045,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c9)),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_68382,c_10893]) ).
tcf(c_69046,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_15,multiply(sk_c2,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_68308,c_53865,c_53942]) ).
tcf(c_69047,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_16,multiply(sk_c6,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_68307,c_49046,c_49776]) ).
tcf(c_69048,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_17,multiply(sk_c7,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_68306,c_45366,c_45396]) ).
tcf(c_69049,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_19,multiply(sk_c5,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_68305,c_39634,c_39687]) ).
tcf(c_69050,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_22,multiply(sk_c4,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_68304,c_39105,c_39242]) ).
tcf(c_69051,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_13,multiply(sk_c10,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_68303,c_34526,c_35515]) ).
tcf(c_69052,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_26,multiply(sk_c1,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_68302,c_23561,c_23929]) ).
tcf(c_69053,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_68869,c_15955]) ).
tcf(c_69056,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_68868,c_15955]) ).
tcf(c_69059,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_68867,c_15955]) ).
tcf(c_69062,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_68866,c_15955]) ).
tcf(c_69065,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_68865,c_15955]) ).
tcf(c_69068,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_68850,c_15955]) ).
tcf(c_69071,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_68849,c_15955]) ).
tcf(c_69074,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_68848,c_15955]) ).
tcf(c_69077,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_68847,c_15955]) ).
tcf(c_69080,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_68846,c_15955]) ).
tcf(c_69083,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),X0) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_68845,c_15955]) ).
tcf(c_69086,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_68844,c_15955]) ).
tcf(c_69089,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),X0) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_68838,c_15955]) ).
tcf(c_69096,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_68833,c_15955]) ).
tcf(c_69185,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_68727,c_15955]) ).
tcf(c_69188,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_68726,c_15955]) ).
tcf(c_69191,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_68725,c_15955]) ).
tcf(c_69194,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_68724,c_15955]) ).
tcf(c_69197,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_68723,c_15955]) ).
tcf(c_69200,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_68722,c_15955]) ).
tcf(c_69203,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_68721,c_15955]) ).
tcf(c_69206,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_68720,c_15955]) ).
tcf(c_69311,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_68662,c_15955]) ).
tcf(c_69314,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_68661,c_15955]) ).
tcf(c_69317,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_68660,c_15955]) ).
tcf(c_69320,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_68659,c_15955]) ).
tcf(c_69323,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_68658,c_15955]) ).
tcf(c_69326,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_68657,c_15955]) ).
tcf(c_69357,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_68642,c_15955]) ).
tcf(c_69360,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_68641,c_15955]) ).
tcf(c_69363,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_68640,c_15955]) ).
tcf(c_69366,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_68639,c_15955]) ).
tcf(c_69369,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_68638,c_15955]) ).
tcf(c_69372,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_68637,c_15955]) ).
tcf(c_69375,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_68636,c_15955]) ).
tcf(c_69378,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_68635,c_15955]) ).
tcf(c_69381,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_68634,c_15955]) ).
tcf(c_69384,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_68633,c_15955]) ).
tcf(c_69387,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_68632,c_15955]) ).
tcf(c_69390,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_68631,c_15955]) ).
tcf(c_69393,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_68630,c_15955]) ).
tcf(c_69396,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_68629,c_15955]) ).
tcf(c_69399,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_68628,c_15955]) ).
tcf(c_69402,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_68627,c_15955]) ).
tcf(c_69453,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_68602,c_15955]) ).
tcf(c_69456,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_68601,c_15955]) ).
tcf(c_69459,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_68600,c_15955]) ).
tcf(c_69462,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_68599,c_15955]) ).
tcf(c_69465,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_68598,c_15955]) ).
tcf(c_69468,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_68597,c_15955]) ).
tcf(c_69471,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_68596,c_15955]) ).
tcf(c_69474,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_68595,c_15955]) ).
tcf(c_69617,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68419,c_15984]) ).
tcf(c_69620,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68418,c_15984]) ).
tcf(c_69623,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68417,c_15984]) ).
tcf(c_69626,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68416,c_15984]) ).
tcf(c_69629,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68415,c_15984]) ).
tcf(c_69632,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_25,multiply(iPr_def_13,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68400,c_15984]) ).
tcf(c_69635,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_25,multiply(iPr_def_13,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68399,c_15984]) ).
tcf(c_69638,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_25,multiply(iPr_def_13,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68398,c_15984]) ).
tcf(c_69641,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(identity,multiply(iPr_def_25,multiply(iPr_def_13,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68397,c_15984]) ).
tcf(c_69644,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_13,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68396,c_15984]) ).
tcf(c_69647,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_21,multiply(iPr_def_13,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68395,c_15984]) ).
tcf(c_69650,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_13,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68394,c_15984]) ).
tcf(c_69653,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68388,c_15984]) ).
tcf(c_69660,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_13,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68383,c_15984]) ).
tcf(c_69697,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c9,X0)),multiply(multiply(sk_c9,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_68361,c_13302]) ).
tcf(c_69698,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c3,X0)),multiply(multiply(sk_c3,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_68359,c_13273]) ).
tcf(c_69704,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(multiply(sk_c8,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_68333,c_13258]) ).
tcf(c_69706,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c10,X0)),multiply(sk_c10,multiply(X0,X1))) = X1,
inference(light_normalisation,[status(thm)],[c_68318,c_13252,c_34526,c_35515]) ).
tcf(c_69723,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_68300,c_12220]) ).
tcf(c_69728,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_68297,c_12072]) ).
tcf(c_69729,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_25,X0)),multiply(multiply(iPr_def_25,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_68296,c_11495]) ).
tcf(c_69732,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_14,X0)),multiply(multiply(iPr_def_14,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_68294,c_11442]) ).
tcf(c_69733,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_68293,c_10892]) ).
tcf(c_69734,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_68292,c_10814]) ).
tcf(c_69743,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_21,X0)),multiply(multiply(iPr_def_21,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_68287,c_10771]) ).
tcf(c_69762,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68277,c_15984,c_54518]) ).
tcf(c_69765,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68276,c_15984,c_54518]) ).
tcf(c_69768,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(identity,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68275,c_15984,c_54518]) ).
tcf(c_69771,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(identity,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68274,c_15984,c_54518]) ).
tcf(c_69774,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68273,c_15984,c_54518]) ).
tcf(c_69777,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(identity,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68272,c_15984,c_54518]) ).
tcf(c_69780,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68271,c_15984,c_54518]) ).
tcf(c_69783,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(identity,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68270,c_15984,c_54518]) ).
tcf(c_69888,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68212,c_15984]) ).
tcf(c_69891,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68211,c_15984]) ).
tcf(c_69894,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68210,c_15984]) ).
tcf(c_69897,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68209,c_15984]) ).
tcf(c_69900,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68208,c_15984]) ).
tcf(c_69903,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_26,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68207,c_15984]) ).
tcf(c_69934,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68192,c_15984]) ).
tcf(c_69937,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68191,c_15984]) ).
tcf(c_69940,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68190,c_15984]) ).
tcf(c_69943,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68189,c_15984]) ).
tcf(c_69946,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68188,c_15984]) ).
tcf(c_69949,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_25,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68187,c_15984]) ).
tcf(c_69952,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68186,c_15984]) ).
tcf(c_69955,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68185,c_15984]) ).
tcf(c_69958,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68184,c_15984]) ).
tcf(c_69961,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68183,c_15984]) ).
tcf(c_69964,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68182,c_15984]) ).
tcf(c_69967,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68181,c_15984]) ).
tcf(c_69970,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68180,c_15984]) ).
tcf(c_69973,plain,
! [X0: $i] :
( ( sk_c3 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68179,c_15984]) ).
tcf(c_69976,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68178,c_15984]) ).
tcf(c_69979,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68177,c_15984]) ).
tcf(c_70030,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68152,c_15984]) ).
tcf(c_70033,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68151,c_15984]) ).
tcf(c_70036,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68150,c_15984]) ).
tcf(c_70039,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68149,c_15984]) ).
tcf(c_70042,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_21,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68148,c_15984]) ).
tcf(c_70045,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_21,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68147,c_15984]) ).
tcf(c_70048,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68146,c_15984]) ).
tcf(c_70051,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_13,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68145,c_15984]) ).
tcf(c_70176,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_13,X0)),multiply(multiply(iPr_def_13,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_68411,c_38651]) ).
tcf(c_71350,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_19 )
| ( iPr_def_19 != sk_c8 )
| ( inverse(X0) != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_3449]) ).
tcf(c_71967,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_19 != inverse(sk_c6) )
| ( iPr_def_16 != inverse(sk_c6) ) ),
inference(instantiation,[status(thm)],[c_8456]) ).
tcf(c_72118,plain,
( ( iPr_def_19 = inverse(sk_c6) )
| ( iPr_def_19 != iPr_def_19 )
| ( inverse(sk_c6) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_2342]) ).
tcf(c_72938,plain,
multiply(inverse(iPr_def_20),multiply(sk_c5,iPr_def_18)) = sk_c9,
inference(superposition,[status(thm)],[c_39704,c_68514]) ).
tcf(c_72940,plain,
multiply(inverse(iPr_def_14),multiply(sk_c7,iPr_def_18)) = sk_c9,
inference(superposition,[status(thm)],[c_47077,c_68514]) ).
tcf(c_72942,plain,
multiply(inverse(sk_c8),multiply(identity,iPr_def_18)) = sk_c9,
inference(superposition,[status(thm)],[c_98,c_68514]) ).
tcf(c_72943,plain,
multiply(inverse(identity),multiply(inverse(sk_c8),iPr_def_18)) = sk_c9,
inference(superposition,[status(thm)],[c_99,c_68514]) ).
tcf(c_72944,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(multiply(X0,X1),iPr_def_18)) = sk_c9,
inference(superposition,[status(thm)],[c_100,c_68514]) ).
tcf(c_72945,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_20,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_48864,c_68514]) ).
tcf(c_72946,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_20,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_45348,c_68514]) ).
tcf(c_72947,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_20,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_44887,c_68514]) ).
tcf(c_72948,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_20,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_44839,c_68514]) ).
tcf(c_72949,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_25,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26849,c_68514]) ).
tcf(c_72950,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_23,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_54058,c_68514]) ).
tcf(c_72951,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_23,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12415,c_68514]) ).
tcf(c_72952,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_52664,c_68514]) ).
tcf(c_72953,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_52662,c_68514]) ).
tcf(c_72954,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_50282,c_68514]) ).
tcf(c_72955,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_50280,c_68514]) ).
tcf(c_72972,plain,
multiply(inverse(multiply(identity,sk_c8)),iPr_def_18) = sk_c9,
inference(superposition,[status(thm)],[c_98,c_68514]) ).
tcf(c_72973,plain,
multiply(inverse(multiply(inverse(iPr_def_18),sk_c8)),identity) = sk_c9,
inference(superposition,[status(thm)],[c_99,c_68514]) ).
tcf(c_72974,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(multiply(X0,X1),sk_c8)),multiply(X0,multiply(X1,iPr_def_18))) = sk_c9,
inference(superposition,[status(thm)],[c_100,c_68514]) ).
tcf(c_72975,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c2,sk_c8)),iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27708,c_68514]) ).
tcf(c_72976,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c2,sk_c8)),iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4218,c_68514]) ).
tcf(c_72977,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c2,sk_c8)),iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1066,c_68514]) ).
tcf(c_72978,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_13,sk_c8)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4216,c_68514]) ).
tcf(c_72979,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_13,sk_c8)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1112,c_68514]) ).
tcf(c_72980,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c8)),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_48864,c_68514]) ).
tcf(c_72981,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c8)),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_45348,c_68514]) ).
tcf(c_72982,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c8)),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_44887,c_68514]) ).
tcf(c_72983,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c8)),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_44839,c_68514]) ).
tcf(c_72984,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_25,sk_c8)),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26849,c_68514]) ).
tcf(c_72985,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_23,sk_c8)),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_54058,c_68514]) ).
tcf(c_72986,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,sk_c8)),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12415,c_68514]) ).
tcf(c_72987,plain,
multiply(inverse(multiply(sk_c5,sk_c8)),multiply(iPr_def_20,sk_c9)) = sk_c9,
inference(superposition,[status(thm)],[c_10789,c_68514]) ).
tcf(c_72988,plain,
multiply(inverse(multiply(sk_c7,sk_c8)),multiply(iPr_def_14,sk_c9)) = sk_c9,
inference(superposition,[status(thm)],[c_11416,c_68514]) ).
tcf(c_72989,plain,
multiply(inverse(multiply(inverse(sk_c8),sk_c8)),sk_c9) = sk_c9,
inference(superposition,[status(thm)],[c_14917,c_68514]) ).
tcf(c_72990,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c9),multiply(inverse(multiply(X0,sk_c8)),multiply(multiply(X0,iPr_def_18),X1))) = X1,
inference(superposition,[status(thm)],[c_68514,c_14924]) ).
tcf(c_72991,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c8))),sk_c9) = multiply(X0,iPr_def_18),
inference(superposition,[status(thm)],[c_68514,c_14868]) ).
tcf(c_72992,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(multiply(X0,iPr_def_18),X1)) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_68514,c_100]) ).
tcf(c_72993,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c8)))),multiply(X0,sk_c9)) = multiply(X1,iPr_def_18),
inference(superposition,[status(thm)],[c_68514,c_14924]) ).
tcf(c_72994,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c8)),X0)),sk_c9) = iPr_def_18,
inference(superposition,[status(thm)],[c_68514,c_14924]) ).
tcf(c_72995,plain,
multiply(inverse(iPr_def_14),multiply(iPr_def_14,sk_c9)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_72940,c_11416]) ).
tcf(c_72996,plain,
multiply(inverse(iPr_def_20),multiply(iPr_def_20,sk_c9)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_72938,c_10789]) ).
tcf(c_72997,plain,
multiply(identity,sk_c9) = sk_c9,
inference(light_normalisation,[status(thm)],[c_72943,c_14917,c_15984]) ).
tcf(c_74202,plain,
! [X0: $i] :
( ( sk_c9 = inverse(X0) )
| ( sk_c9 != iPr_def_26 )
| ( inverse(X0) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1582]) ).
tcf(c_74203,plain,
( ( sk_c9 = inverse(sk_c10) )
| ( sk_c9 != iPr_def_26 )
| ( inverse(sk_c10) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_74202]) ).
tcf(c_74283,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_41776,c_2255,c_2343,c_4893,c_6546,c_6957,c_31608,c_38759]) ).
tcf(c_74361,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_74283,c_577]) ).
tcf(c_74377,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_74361,c_56312]) ).
tcf(c_74534,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67231,c_5957]) ).
tcf(c_74535,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_67231,c_23963]) ).
tcf(c_74536,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_67231,c_23961]) ).
tcf(c_74537,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_67231,c_23960]) ).
tcf(c_74538,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_67231,c_23959]) ).
tcf(c_74539,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_67231,c_23958]) ).
tcf(c_74540,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_67231,c_23957]) ).
tcf(c_74541,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_67231,c_23956]) ).
tcf(c_74544,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67231,c_48478]) ).
tcf(c_74550,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67231,c_44072]) ).
tcf(c_74562,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67231,c_26788]) ).
tcf(c_74563,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67231,c_26546]) ).
tcf(c_74564,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67231,c_26422]) ).
tcf(c_74565,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67231,c_25284]) ).
tcf(c_74569,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67231,c_25055]) ).
tcf(c_74570,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67231,c_24883]) ).
tcf(c_74585,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_67231,c_5615]) ).
tcf(c_74609,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67231,c_3991]) ).
tcf(c_74612,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67231,c_1649]) ).
tcf(c_74613,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67231,c_1600]) ).
tcf(c_74614,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67231,c_1558]) ).
tcf(c_74615,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67231,c_1489]) ).
tcf(c_74617,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67231,c_5612]) ).
tcf(c_74623,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_74615,c_35515]) ).
tcf(c_74627,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_74614,c_35515]) ).
tcf(c_74631,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_74613,c_35515]) ).
tcf(c_74635,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_74612,c_35515]) ).
tcf(c_74640,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_74550,c_35515]) ).
tcf(c_74688,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_67239,c_66391]) ).
tcf(c_74704,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67239,c_44213]) ).
tcf(c_74713,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67239,c_23565]) ).
tcf(c_74714,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_67239,c_23562]) ).
tcf(c_74716,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67239,c_3733]) ).
tcf(c_74717,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_67239,c_2925]) ).
tcf(c_74720,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67239,c_1357]) ).
tcf(c_74721,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67239,c_1327]) ).
tcf(c_74722,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67239,c_1303]) ).
tcf(c_74723,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67239,c_1279]) ).
tcf(c_74724,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67239,c_1201]) ).
tcf(c_74726,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67239,c_2948]) ).
tcf(c_74727,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_67239,c_1102]) ).
tcf(c_74728,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67239,c_579]) ).
tcf(c_74729,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67239,c_580]) ).
tcf(c_74802,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_67817,c_54058]) ).
tcf(c_74803,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_13),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_67817,c_38079]) ).
tcf(c_74804,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_13),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67817,c_38028]) ).
tcf(c_74805,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_67817,c_38018]) ).
tcf(c_74816,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_67817,c_5123]) ).
tcf(c_74818,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_7259]) ).
tcf(c_74819,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_7255]) ).
tcf(c_74820,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_7184]) ).
tcf(c_74821,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_7180]) ).
tcf(c_74822,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_6853]) ).
tcf(c_74823,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_6849]) ).
tcf(c_74824,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_6429]) ).
tcf(c_74825,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_6425]) ).
tcf(c_74826,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_1139]) ).
tcf(c_74829,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_1082]) ).
tcf(c_74831,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67817,c_1080]) ).
tcf(c_74833,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_67817,c_5120]) ).
tcf(c_74838,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,sk_c2) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_74804,c_35515]) ).
tcf(c_74873,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_74803,c_35515]) ).
tcf(c_75096,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_67851,c_66606]) ).
tcf(c_75097,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_67851,c_66391]) ).
tcf(c_75106,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_67851,c_12073]) ).
tcf(c_75107,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_67851,c_61092]) ).
tcf(c_75113,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_67851,c_56204]) ).
tcf(c_75117,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67851,c_48478]) ).
tcf(c_75132,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67851,c_26788]) ).
tcf(c_75133,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67851,c_26546]) ).
tcf(c_75134,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67851,c_26422]) ).
tcf(c_75135,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67851,c_25284]) ).
tcf(c_75136,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67851,c_25055]) ).
tcf(c_75142,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67851,c_3720]) ).
tcf(c_75143,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_67851,c_2927]) ).
tcf(c_75144,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_67851,c_2926]) ).
tcf(c_75156,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67851,c_1139]) ).
tcf(c_75161,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67851,c_1082]) ).
tcf(c_75163,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_67851,c_1080]) ).
tcf(c_75182,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_67851,c_582]) ).
tcf(c_75194,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67851,c_593]) ).
tcf(c_75196,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67851,c_592]) ).
tcf(c_75197,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67851,c_591]) ).
tcf(c_75198,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67851,c_589]) ).
tcf(c_75601,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25051,c_5958]) ).
tcf(c_75619,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1357,c_5958]) ).
tcf(c_75624,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23562,c_5958]) ).
tcf(c_75626,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66391,c_5958]) ).
tcf(c_75635,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_23565,c_5958]) ).
tcf(c_75636,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67239,c_5958]) ).
tcf(c_75637,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66547,c_5958]) ).
tcf(c_75638,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66346,c_5958]) ).
tcf(c_75652,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(sk_c1,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5958,c_14924]) ).
tcf(c_75654,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5958,c_100]) ).
tcf(c_75655,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(sk_c1,X1) ) ),
inference(superposition,[status(thm)],[c_5958,c_14924]) ).
tcf(c_75656,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_25,sk_c1)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5958,c_14924]) ).
tcf(c_75659,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5958,c_26849]) ).
tcf(c_75664,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(sk_c1,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5958,c_5615]) ).
tcf(c_75688,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_75654,c_23561,c_23929]) ).
tcf(c_75693,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(sk_c1,multiply(X0,X1)))) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_75652,c_23561,c_23929]) ).
tcf(c_75707,plain,
inverse(multiply(inverse(iPr_def_18),sk_c8)) = sk_c9,
inference(demodulation,[status(thm)],[c_72973,c_15955]) ).
tcf(c_75708,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( inverse(multiply(iPr_def_13,sk_c8)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27710,c_75707]) ).
tcf(c_75709,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( inverse(multiply(iPr_def_13,sk_c8)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4220,c_75707]) ).
tcf(c_75710,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_13,sk_c8)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_957,c_75707]) ).
tcf(c_75711,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_52664,c_75707]) ).
tcf(c_75712,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_52662,c_75707]) ).
tcf(c_75713,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_50282,c_75707]) ).
tcf(c_75714,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_50280,c_75707]) ).
tcf(c_75723,plain,
( ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_626,c_75707]) ).
tcf(c_75724,plain,
( ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_623,c_75707]) ).
tcf(c_75725,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_617,c_75707]) ).
tcf(c_75726,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_614,c_75707]) ).
tcf(c_75727,plain,
( ( sk_c9 = iPr_def_24 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_608,c_75707]) ).
tcf(c_75728,plain,
( ( sk_c9 = iPr_def_24 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_605,c_75707]) ).
tcf(c_75729,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_590,c_75707]) ).
tcf(c_75730,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_587,c_75707]) ).
tcf(c_75731,plain,
! [X0: $i] : multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = X0,
inference(superposition,[status(thm)],[c_75707,c_14868]) ).
tcf(c_75732,plain,
multiply(sk_c9,multiply(inverse(iPr_def_18),sk_c8)) = identity,
inference(superposition,[status(thm)],[c_75707,c_99]) ).
tcf(c_75733,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),sk_c8)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),sk_c8)),sk_c9) != sk_c10 )
| ( multiply(multiply(inverse(iPr_def_18),sk_c8),inverse(multiply(inverse(iPr_def_18),sk_c8))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75707,c_584]) ).
tcf(c_75734,plain,
! [X0: $i] : multiply(sk_c9,multiply(inverse(iPr_def_18),multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_75707,c_14924]) ).
tcf(c_75735,plain,
multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_18)) = sk_c9,
inference(superposition,[status(thm)],[c_75707,c_68514]) ).
tcf(c_75770,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(sk_c9,sk_c9) != sk_c10 )
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c9 )
| ( multiply(multiply(inverse(iPr_def_18),sk_c8),sk_c9) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_75733,c_75707]) ).
tcf(c_75779,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_66615,c_75732]) ).
tcf(c_75780,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_52657,c_75732]) ).
tcf(c_75781,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_50275,c_75732]) ).
tcf(c_75782,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_39650,c_75732]) ).
tcf(c_75791,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1239,c_75732]) ).
tcf(c_75792,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1188,c_75732]) ).
tcf(c_75793,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_630,c_75732]) ).
tcf(c_75794,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_621,c_75732]) ).
tcf(c_75795,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_612,c_75732]) ).
tcf(c_75796,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_611,c_75732]) ).
tcf(c_75797,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_610,c_75732]) ).
tcf(c_75798,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_609,c_75732]) ).
tcf(c_75799,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_607,c_75732]) ).
tcf(c_75800,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_594,c_75732]) ).
tcf(c_75801,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_75732]) ).
tcf(c_75802,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_75732]) ).
tcf(c_75803,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75732]) ).
tcf(c_75804,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_52664,c_75732]) ).
tcf(c_75805,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_52662,c_75732]) ).
tcf(c_75806,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_50282,c_75732]) ).
tcf(c_75807,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_50280,c_75732]) ).
tcf(c_75816,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_626,c_75732]) ).
tcf(c_75817,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_623,c_75732]) ).
tcf(c_75818,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_617,c_75732]) ).
tcf(c_75819,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_614,c_75732]) ).
tcf(c_75820,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_608,c_75732]) ).
tcf(c_75821,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_605,c_75732]) ).
tcf(c_75822,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_590,c_75732]) ).
tcf(c_75823,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_587,c_75732]) ).
tcf(c_75824,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0,
inference(superposition,[status(thm)],[c_75732,c_14924]) ).
tcf(c_75825,plain,
multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_18),sk_c8),
inference(superposition,[status(thm)],[c_75732,c_14868]) ).
tcf(c_75826,plain,
! [X0: $i] : multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_75732,c_100]) ).
tcf(c_75827,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c8),
inference(superposition,[status(thm)],[c_75732,c_14924]) ).
tcf(c_75828,plain,
multiply(inverse(multiply(sk_c9,inverse(iPr_def_18))),identity) = sk_c8,
inference(superposition,[status(thm)],[c_75732,c_14924]) ).
tcf(c_75829,plain,
multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c8)) = multiply(sk_c1,identity),
inference(superposition,[status(thm)],[c_75732,c_2925]) ).
tcf(c_75830,plain,
multiply(iPr_def_18,multiply(inverse(iPr_def_18),sk_c8)) = multiply(sk_c8,identity),
inference(superposition,[status(thm)],[c_75732,c_2923]) ).
tcf(c_75831,plain,
multiply(iPr_def_21,multiply(inverse(iPr_def_18),sk_c8)) = multiply(sk_c4,identity),
inference(superposition,[status(thm)],[c_75732,c_2921]) ).
tcf(c_75879,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c9)),X0) = multiply(inverse(iPr_def_18),sk_c8),
inference(light_normalisation,[status(thm)],[c_75827,c_15955]) ).
tcf(c_75911,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39651,c_74728]) ).
tcf(c_75912,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39649,c_74728]) ).
tcf(c_75913,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39648,c_74728]) ).
tcf(c_75947,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_629,c_74728]) ).
tcf(c_75948,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_628,c_74728]) ).
tcf(c_75949,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_627,c_74728]) ).
tcf(c_75950,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_625,c_74728]) ).
tcf(c_75951,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_74728]) ).
tcf(c_75952,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_74728]) ).
tcf(c_75953,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_74728]) ).
tcf(c_75954,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_74728]) ).
tcf(c_75959,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_74728]) ).
tcf(c_75981,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c10,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_74728,c_14924]) ).
tcf(c_75982,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_74728,c_14868]) ).
tcf(c_75984,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_74728,c_14924]) ).
tcf(c_75985,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_25) = multiply(iPr_def_23,sk_c9) ) ),
inference(superposition,[status(thm)],[c_74728,c_2927]) ).
tcf(c_76057,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_74728]) ).
tcf(c_76058,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_67998,c_75732]) ).
tcf(c_76060,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_66710]) ).
tcf(c_76061,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_66485]) ).
tcf(c_76070,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_44747]) ).
tcf(c_76074,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_35752]) ).
tcf(c_76075,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_24760]) ).
tcf(c_76076,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_24515]) ).
tcf(c_76077,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_24472]) ).
tcf(c_76078,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_24428]) ).
tcf(c_76079,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_24368]) ).
tcf(c_76083,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_67998,c_2925]) ).
tcf(c_76085,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_67998,c_2923]) ).
tcf(c_76086,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_25,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_67998,c_2921]) ).
tcf(c_76111,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67998,c_579]) ).
tcf(c_76112,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_67998,c_575]) ).
tcf(c_76113,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_67998,c_572]) ).
tcf(c_76131,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76058,c_75829]) ).
tcf(c_76178,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_22642,c_23965]) ).
tcf(c_76179,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_20906,c_23965]) ).
tcf(c_76180,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_19580,c_23965]) ).
tcf(c_76181,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_18938,c_23965]) ).
tcf(c_76182,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_17395,c_23965]) ).
tcf(c_76183,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_16277,c_23965]) ).
tcf(c_76185,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_3980,c_23965]) ).
tcf(c_76189,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23965,c_584]) ).
tcf(c_76294,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26846,c_14868]) ).
tcf(c_76295,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_26846,c_99]) ).
tcf(c_76296,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26846,c_584]) ).
tcf(c_76297,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26846,c_23965]) ).
tcf(c_76364,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76297,c_44213]) ).
tcf(c_76374,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_76297,c_23562]) ).
tcf(c_76376,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76297,c_3733]) ).
tcf(c_76377,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_76297,c_2925]) ).
tcf(c_76380,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76297,c_1357]) ).
tcf(c_76381,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76297,c_1327]) ).
tcf(c_76382,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76297,c_1303]) ).
tcf(c_76383,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76297,c_1279]) ).
tcf(c_76384,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76297,c_1201]) ).
tcf(c_76386,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76297,c_2948]) ).
tcf(c_76387,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_76297,c_1102]) ).
tcf(c_76389,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_76297,c_580]) ).
tcf(c_76392,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = identity ) ),
inference(light_normalisation,[status(thm)],[c_76387,c_5612]) ).
tcf(c_76399,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_76386,c_5615]) ).
tcf(c_76446,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_599,c_74377]) ).
tcf(c_76448,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_596,c_74377]) ).
tcf(c_76483,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27710,c_75723]) ).
tcf(c_76484,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4220,c_75723]) ).
tcf(c_76485,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_957,c_75723]) ).
tcf(c_76486,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_75723,c_14868]) ).
tcf(c_76488,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_19)),sk_c9) != sk_c10 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_19),inverse(multiply(inverse(iPr_def_18),iPr_def_19))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75723,c_584]) ).
tcf(c_76489,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75723,c_14924]) ).
tcf(c_76516,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27710,c_75724]) ).
tcf(c_76517,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4220,c_75724]) ).
tcf(c_76518,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_957,c_75724]) ).
tcf(c_76519,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_75724,c_14868]) ).
tcf(c_76521,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_16)),sk_c9) != sk_c10 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_16),inverse(multiply(inverse(iPr_def_18),iPr_def_16))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75724,c_584]) ).
tcf(c_76522,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75724,c_14924]) ).
tcf(c_76655,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27710,c_75725]) ).
tcf(c_76656,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4220,c_75725]) ).
tcf(c_76657,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_957,c_75725]) ).
tcf(c_76658,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_75725,c_14868]) ).
tcf(c_76660,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_19)),sk_c9) != sk_c10 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_19),inverse(multiply(inverse(iPr_def_18),iPr_def_19))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75725,c_584]) ).
tcf(c_76661,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75725,c_14924]) ).
tcf(c_76688,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27710,c_75726]) ).
tcf(c_76689,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4220,c_75726]) ).
tcf(c_76690,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_957,c_75726]) ).
tcf(c_76691,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_75726,c_14868]) ).
tcf(c_76693,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_16)),sk_c9) != sk_c10 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_16),inverse(multiply(inverse(iPr_def_18),iPr_def_16))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75726,c_584]) ).
tcf(c_76694,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75726,c_14924]) ).
tcf(c_76882,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_24 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27710,c_75727]) ).
tcf(c_76883,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4220,c_75727]) ).
tcf(c_76884,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_957,c_75727]) ).
tcf(c_76885,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_75727,c_14868]) ).
tcf(c_76887,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ~ iPr_def_11
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_19)),sk_c9) != sk_c10 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_19),inverse(multiply(inverse(iPr_def_18),iPr_def_19))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75727,c_584]) ).
tcf(c_76888,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75727,c_14924]) ).
tcf(c_76915,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_24 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27710,c_75728]) ).
tcf(c_76916,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4220,c_75728]) ).
tcf(c_76917,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_957,c_75728]) ).
tcf(c_76918,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_75728,c_14868]) ).
tcf(c_76920,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ~ iPr_def_11
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_16)),sk_c9) != sk_c10 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_16),inverse(multiply(inverse(iPr_def_18),iPr_def_16))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75728,c_584]) ).
tcf(c_76921,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75728,c_14924]) ).
tcf(c_76950,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_957,c_75729]) ).
tcf(c_76951,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_75729,c_14868]) ).
tcf(c_76953,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_19)),sk_c9) != sk_c10 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_19),inverse(multiply(inverse(iPr_def_18),iPr_def_19))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75729,c_584]) ).
tcf(c_76954,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75729,c_14924]) ).
tcf(c_76976,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_957,c_75730]) ).
tcf(c_76977,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_75730,c_14868]) ).
tcf(c_76979,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_16)),sk_c9) != sk_c10 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_16),inverse(multiply(inverse(iPr_def_18),iPr_def_16))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75730,c_584]) ).
tcf(c_76980,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75730,c_14924]) ).
tcf(c_77009,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_25051,c_5959]) ).
tcf(c_77020,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_67239,c_5959]) ).
tcf(c_77022,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_66346,c_5959]) ).
tcf(c_77036,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(sk_c1,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5959,c_14924]) ).
tcf(c_77037,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5959,c_14868]) ).
tcf(c_77038,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_5959,c_100]) ).
tcf(c_77039,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5959,c_14924]) ).
tcf(c_77042,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_5959,c_26849]) ).
tcf(c_77047,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,sk_c1) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_5959,c_5615]) ).
tcf(c_77061,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_77039,c_15955]) ).
tcf(c_77064,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_25,multiply(sk_c1,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77036,c_15984]) ).
tcf(c_77097,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_25051,c_76389]) ).
tcf(c_77098,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_22642,c_76389]) ).
tcf(c_77099,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20906,c_76389]) ).
tcf(c_77100,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_19580,c_76389]) ).
tcf(c_77101,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18938,c_76389]) ).
tcf(c_77102,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_17395,c_76389]) ).
tcf(c_77103,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_16277,c_76389]) ).
tcf(c_77104,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_11120,c_76389]) ).
tcf(c_77105,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3980,c_76389]) ).
tcf(c_77109,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_76389,c_584]) ).
tcf(c_77165,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67231,c_76111]) ).
tcf(c_77173,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25051,c_76111]) ).
tcf(c_77180,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11120,c_76111]) ).
tcf(c_77182,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3902,c_76111]) ).
tcf(c_77183,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_76111,c_14924]) ).
tcf(c_77184,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76111,c_14868]) ).
tcf(c_77186,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76111,c_14924]) ).
tcf(c_77187,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76111,c_5958]) ).
tcf(c_77229,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_76112,c_14924]) ).
tcf(c_77230,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76112,c_14868]) ).
tcf(c_77232,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76112,c_14924]) ).
tcf(c_77233,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76112,c_2946]) ).
tcf(c_77282,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_76113,c_14924]) ).
tcf(c_77283,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76113,c_14868]) ).
tcf(c_77285,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76113,c_14924]) ).
tcf(c_77286,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_76113,c_2924]) ).
tcf(c_77287,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_76113,c_2922]) ).
tcf(c_77289,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_77287,c_10789]) ).
tcf(c_77292,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_14,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_77286,c_11416]) ).
tcf(c_77328,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_76392,c_75732]) ).
tcf(c_77330,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76392,c_66710]) ).
tcf(c_77331,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76392,c_66485]) ).
tcf(c_77340,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76392,c_44747]) ).
tcf(c_77344,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_76392,c_35752]) ).
tcf(c_77345,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76392,c_24760]) ).
tcf(c_77346,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76392,c_24515]) ).
tcf(c_77347,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76392,c_24472]) ).
tcf(c_77348,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76392,c_24428]) ).
tcf(c_77349,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76392,c_24368]) ).
tcf(c_77353,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(identity,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_76392,c_2925]) ).
tcf(c_77355,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,multiply(identity,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_76392,c_2923]) ).
tcf(c_77356,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(identity,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_76392,c_2921]) ).
tcf(c_77374,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_76392,c_630]) ).
tcf(c_77375,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76392,c_621]) ).
tcf(c_77381,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76392,c_579]) ).
tcf(c_77382,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_76392,c_575]) ).
tcf(c_77383,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_76392,c_572]) ).
tcf(c_77384,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76392,c_594]) ).
tcf(c_77411,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,X0) = multiply(iPr_def_21,X0) ) ),
inference(light_normalisation,[status(thm)],[c_77356,c_98]) ).
tcf(c_77414,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_77355,c_98]) ).
tcf(c_77417,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_77353,c_98]) ).
tcf(c_77459,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_76111]) ).
tcf(c_77460,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = identity ) ),
inference(superposition,[status(thm)],[c_77042,c_5959]) ).
tcf(c_77462,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77042,c_5958]) ).
tcf(c_77463,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = identity ) ),
inference(superposition,[status(thm)],[c_77042,c_67239]) ).
tcf(c_77464,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77042,c_66391]) ).
tcf(c_77465,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77042,c_66547]) ).
tcf(c_77466,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77042,c_66346]) ).
tcf(c_77480,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_44213]) ).
tcf(c_77481,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_77042,c_43810]) ).
tcf(c_77486,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_77042,c_23932]) ).
tcf(c_77489,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77042,c_23565]) ).
tcf(c_77490,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_77042,c_23562]) ).
tcf(c_77492,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_3733]) ).
tcf(c_77493,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_77042,c_2925]) ).
tcf(c_77496,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_1357]) ).
tcf(c_77497,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_1327]) ).
tcf(c_77498,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_1303]) ).
tcf(c_77499,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_1279]) ).
tcf(c_77500,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_1201]) ).
tcf(c_77502,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77042,c_2948]) ).
tcf(c_77504,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_579]) ).
tcf(c_77505,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77042,c_580]) ).
tcf(c_77527,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77502,c_98]) ).
tcf(c_77620,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77463,c_66606]) ).
tcf(c_77621,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77463,c_66391]) ).
tcf(c_77630,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,identity) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_77463,c_12073]) ).
tcf(c_77637,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77463,c_56204]) ).
tcf(c_77641,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_48478]) ).
tcf(c_77642,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77463,c_39651]) ).
tcf(c_77654,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77463,c_34530]) ).
tcf(c_77655,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_77463,c_34527]) ).
tcf(c_77656,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_26788]) ).
tcf(c_77657,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_26546]) ).
tcf(c_77658,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_26422]) ).
tcf(c_77659,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_25284]) ).
tcf(c_77660,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_25055]) ).
tcf(c_77666,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_3720]) ).
tcf(c_77667,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(identity,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_77463,c_2927]) ).
tcf(c_77668,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_77463,c_2926]) ).
tcf(c_77680,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_1139]) ).
tcf(c_77683,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_1132]) ).
tcf(c_77684,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_1125]) ).
tcf(c_77685,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_1082]) ).
tcf(c_77686,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_1081]) ).
tcf(c_77687,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_1080]) ).
tcf(c_77688,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_1079]) ).
tcf(c_77689,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77463,c_2947]) ).
tcf(c_77706,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(identity,multiply(X0,identity)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_77463,c_582]) ).
tcf(c_77715,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,identity) = identity ) ),
inference(superposition,[status(thm)],[c_77463,c_1103]) ).
tcf(c_77716,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77463,c_578]) ).
tcf(c_77717,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77463,c_577]) ).
tcf(c_77718,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77463,c_593]) ).
tcf(c_77719,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_77463,c_567]) ).
tcf(c_77720,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77463,c_592]) ).
tcf(c_77722,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77463,c_589]) ).
tcf(c_77780,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_77667,c_98]) ).
tcf(c_77802,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( X0 != sk_c9 )
| ( inverse(X0) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_77706,c_98,c_15955]) ).
tcf(c_77830,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77465,c_53893]) ).
tcf(c_77832,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77465,c_53393]) ).
tcf(c_77833,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77465,c_51716]) ).
tcf(c_77834,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77465,c_50947]) ).
tcf(c_77835,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77465,c_49349]) ).
tcf(c_77836,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77465,c_48781]) ).
tcf(c_77837,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77465,c_47970]) ).
tcf(c_77845,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_77465,c_15955]) ).
tcf(c_77846,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77465,c_11917]) ).
tcf(c_78077,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_75793]) ).
tcf(c_78078,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_75793]) ).
tcf(c_78079,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75793]) ).
tcf(c_78092,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_626,c_75793]) ).
tcf(c_78093,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_623,c_75793]) ).
tcf(c_78094,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_617,c_75793]) ).
tcf(c_78095,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_614,c_75793]) ).
tcf(c_78098,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_590,c_75793]) ).
tcf(c_78099,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_587,c_75793]) ).
tcf(c_78100,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75793,c_14924]) ).
tcf(c_78101,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),identity) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75793,c_14868]) ).
tcf(c_78102,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75793,c_100]) ).
tcf(c_78103,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75793,c_14924]) ).
tcf(c_78104,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_13,inverse(iPr_def_18))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_75793,c_14924]) ).
tcf(c_78107,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_75793,c_35577]) ).
tcf(c_78108,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_75793,c_35576]) ).
tcf(c_78109,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_75793,c_35575]) ).
tcf(c_78110,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_75793,c_35574]) ).
tcf(c_78113,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_75793,c_34530]) ).
tcf(c_78144,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78102,c_98]) ).
tcf(c_78159,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),sk_c8) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_78103,c_15955,c_68906]) ).
tcf(c_78162,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78100,c_15984]) ).
tcf(c_78171,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_75794]) ).
tcf(c_78172,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_75794]) ).
tcf(c_78173,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75794]) ).
tcf(c_78188,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_617,c_75794]) ).
tcf(c_78189,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_614,c_75794]) ).
tcf(c_78192,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_590,c_75794]) ).
tcf(c_78193,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_587,c_75794]) ).
tcf(c_78194,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75794,c_14924]) ).
tcf(c_78195,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_13),identity) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75794,c_14868]) ).
tcf(c_78196,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75794,c_100]) ).
tcf(c_78197,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75794,c_14924]) ).
tcf(c_78198,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_13,inverse(iPr_def_18))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_75794,c_14924]) ).
tcf(c_78201,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_75794,c_35577]) ).
tcf(c_78202,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_75794,c_35576]) ).
tcf(c_78203,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_75794,c_35575]) ).
tcf(c_78204,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_75794,c_35574]) ).
tcf(c_78207,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_75794,c_34530]) ).
tcf(c_78238,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78196,c_98]) ).
tcf(c_78247,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),sk_c8) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_78197,c_15955,c_68906]) ).
tcf(c_78250,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78194,c_15984]) ).
tcf(c_78297,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67231,c_5976]) ).
tcf(c_78298,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34158,c_5976]) ).
tcf(c_78299,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27658,c_5976]) ).
tcf(c_78300,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27657,c_5976]) ).
tcf(c_78301,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27656,c_5976]) ).
tcf(c_78302,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27277,c_5976]) ).
tcf(c_78303,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27276,c_5976]) ).
tcf(c_78304,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26916,c_5976]) ).
tcf(c_78305,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_25051,c_5976]) ).
tcf(c_78312,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_11120,c_5976]) ).
tcf(c_78315,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_15,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5976,c_14924]) ).
tcf(c_78316,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5976,c_14868]) ).
tcf(c_78318,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,sk_c9)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5976,c_14924]) ).
tcf(c_78319,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5976,c_53869]) ).
tcf(c_78324,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_78305,c_5120]) ).
tcf(c_78452,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_11120,c_76295]) ).
tcf(c_78455,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_76295,c_14924]) ).
tcf(c_78456,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76295,c_14868]) ).
tcf(c_78457,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_76295,c_100]) ).
tcf(c_78458,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76295,c_14924]) ).
tcf(c_78466,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_25) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_76295,c_5615]) ).
tcf(c_78475,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_78458,c_15955]) ).
tcf(c_78478,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_25,multiply(iPr_def_25,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78455,c_15984]) ).
tcf(c_78484,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_77382,c_15955]) ).
tcf(c_78494,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78484,c_76112]) ).
tcf(c_78495,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78484,c_44214]) ).
tcf(c_78500,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_78484,c_39109]) ).
tcf(c_78501,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_78484,c_39106]) ).
tcf(c_78503,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78484,c_3734]) ).
tcf(c_78504,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(sk_c9,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_78484,c_2921]) ).
tcf(c_78507,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78484,c_1358]) ).
tcf(c_78508,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78484,c_1328]) ).
tcf(c_78509,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78484,c_1304]) ).
tcf(c_78510,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78484,c_1280]) ).
tcf(c_78511,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78484,c_1202]) ).
tcf(c_78513,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_78484,c_2946]) ).
tcf(c_78514,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_78484,c_1104]) ).
tcf(c_78515,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c9) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78484,c_575]) ).
tcf(c_78516,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_78484,c_576]) ).
tcf(c_78610,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_21) )
| ( multiply(iPr_def_21,inverse(iPr_def_21)) != sk_c10 )
| ( multiply(inverse(iPr_def_21),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_78516,c_584]) ).
tcf(c_78651,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77466,c_44364]) ).
tcf(c_78652,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77466,c_44363]) ).
tcf(c_78657,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_77466,c_15955]) ).
tcf(c_78707,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_13) = X0 ) ),
inference(superposition,[status(thm)],[c_77486,c_15955]) ).
tcf(c_78736,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77846,c_66710]) ).
tcf(c_78737,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77846,c_66606]) ).
tcf(c_78763,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77846,c_23565]) ).
tcf(c_78765,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_77846,c_23562]) ).
tcf(c_78772,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_77846,c_5621]) ).
tcf(c_78773,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_77846,c_5615]) ).
tcf(c_78807,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_77846,c_5612]) ).
tcf(c_78889,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_74728]) ).
tcf(c_78890,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_78324,c_75732]) ).
tcf(c_78891,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78324,c_66615]) ).
tcf(c_78892,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_66710]) ).
tcf(c_78893,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_66485]) ).
tcf(c_78894,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_64468]) ).
tcf(c_78895,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_63520]) ).
tcf(c_78896,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_60965]) ).
tcf(c_78897,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_60377]) ).
tcf(c_78898,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_58423]) ).
tcf(c_78899,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_57103]) ).
tcf(c_78902,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_44747]) ).
tcf(c_78906,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_78324,c_35752]) ).
tcf(c_78907,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_24760]) ).
tcf(c_78908,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_24515]) ).
tcf(c_78909,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_24472]) ).
tcf(c_78910,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_24428]) ).
tcf(c_78911,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_24368]) ).
tcf(c_78912,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_24214]) ).
tcf(c_78915,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_78324,c_2925]) ).
tcf(c_78917,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,multiply(sk_c10,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_78324,c_2923]) ).
tcf(c_78918,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(sk_c10,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_78324,c_2921]) ).
tcf(c_78943,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_78324,c_579]) ).
tcf(c_78944,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,sk_c10) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78324,c_575]) ).
tcf(c_78945,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,sk_c10) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_78324,c_572]) ).
tcf(c_79078,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_67205,c_75795]) ).
tcf(c_79079,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28486,c_75795]) ).
tcf(c_79080,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_11128,c_75795]) ).
tcf(c_79081,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_75795]) ).
tcf(c_79082,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_75795]) ).
tcf(c_79104,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75795,c_14924]) ).
tcf(c_79105,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_75795,c_14868]) ).
tcf(c_79106,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75795,c_100]) ).
tcf(c_79107,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75795,c_14924]) ).
tcf(c_79108,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_18))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_75795,c_14924]) ).
tcf(c_79109,plain,
( ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c3,multiply(inverse(iPr_def_18),sk_c8)) = multiply(iPr_def_13,identity) ) ),
inference(superposition,[status(thm)],[c_75795,c_5564]) ).
tcf(c_79122,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79106,c_98]) ).
tcf(c_79134,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(light_normalisation,[status(thm)],[c_79107,c_15955]) ).
tcf(c_79137,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_13 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79104,c_15984]) ).
tcf(c_79167,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_67205,c_75796]) ).
tcf(c_79168,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28486,c_75796]) ).
tcf(c_79169,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_11128,c_75796]) ).
tcf(c_79193,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75796,c_14924]) ).
tcf(c_79194,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_75796,c_14868]) ).
tcf(c_79195,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75796,c_100]) ).
tcf(c_79196,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75796,c_14924]) ).
tcf(c_79197,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_18))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_75796,c_14924]) ).
tcf(c_79198,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c3,multiply(inverse(iPr_def_18),sk_c8)) = multiply(iPr_def_13,identity) ) ),
inference(superposition,[status(thm)],[c_75796,c_5564]) ).
tcf(c_79205,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79195,c_98]) ).
tcf(c_79217,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(light_normalisation,[status(thm)],[c_79196,c_15955]) ).
tcf(c_79220,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79193,c_15984]) ).
tcf(c_79244,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_67205,c_75797]) ).
tcf(c_79245,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28486,c_75797]) ).
tcf(c_79246,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_11128,c_75797]) ).
tcf(c_79270,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75797,c_14924]) ).
tcf(c_79271,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_75797,c_14868]) ).
tcf(c_79272,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75797,c_100]) ).
tcf(c_79273,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75797,c_14924]) ).
tcf(c_79274,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_18))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_75797,c_14924]) ).
tcf(c_79275,plain,
( ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c3,multiply(inverse(iPr_def_18),sk_c8)) = multiply(iPr_def_13,identity) ) ),
inference(superposition,[status(thm)],[c_75797,c_5564]) ).
tcf(c_79282,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79272,c_98]) ).
tcf(c_79294,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(light_normalisation,[status(thm)],[c_79273,c_15955]) ).
tcf(c_79297,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79270,c_15984]) ).
tcf(c_79326,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_67205,c_75798]) ).
tcf(c_79327,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28486,c_75798]) ).
tcf(c_79328,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_11128,c_75798]) ).
tcf(c_79352,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75798,c_14924]) ).
tcf(c_79353,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_75798,c_14868]) ).
tcf(c_79354,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75798,c_100]) ).
tcf(c_79355,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75798,c_14924]) ).
tcf(c_79356,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_18))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_75798,c_14924]) ).
tcf(c_79357,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c3,multiply(inverse(iPr_def_18),sk_c8)) = multiply(iPr_def_13,identity) ) ),
inference(superposition,[status(thm)],[c_75798,c_5564]) ).
tcf(c_79364,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79354,c_98]) ).
tcf(c_79376,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(light_normalisation,[status(thm)],[c_79355,c_15955]) ).
tcf(c_79379,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79352,c_15984]) ).
tcf(c_79424,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_67205,c_75799]) ).
tcf(c_79425,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28486,c_75799]) ).
tcf(c_79426,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_11128,c_75799]) ).
tcf(c_79450,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75799,c_14924]) ).
tcf(c_79451,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_75799,c_14868]) ).
tcf(c_79452,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75799,c_100]) ).
tcf(c_79453,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75799,c_14924]) ).
tcf(c_79454,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_18))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_75799,c_14924]) ).
tcf(c_79455,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c3,multiply(inverse(iPr_def_18),sk_c8)) = multiply(iPr_def_13,identity) ) ),
inference(superposition,[status(thm)],[c_75799,c_5564]) ).
tcf(c_79462,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79452,c_98]) ).
tcf(c_79474,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(light_normalisation,[status(thm)],[c_79453,c_15955]) ).
tcf(c_79477,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79450,c_15984]) ).
tcf(c_79509,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75800]) ).
tcf(c_79528,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_590,c_75800]) ).
tcf(c_79529,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_587,c_75800]) ).
tcf(c_79530,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75800,c_14924]) ).
tcf(c_79531,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),identity) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75800,c_14868]) ).
tcf(c_79532,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75800,c_100]) ).
tcf(c_79533,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c8) ) ),
inference(superposition,[status(thm)],[c_75800,c_14924]) ).
tcf(c_79534,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_13,inverse(iPr_def_18))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_75800,c_14924]) ).
tcf(c_79537,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_75800,c_35577]) ).
tcf(c_79538,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_75800,c_35576]) ).
tcf(c_79539,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_75800,c_35575]) ).
tcf(c_79540,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_75800,c_35574]) ).
tcf(c_79543,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_75800,c_34530]) ).
tcf(c_79563,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79532,c_98]) ).
tcf(c_79566,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_79533,c_15955,c_68906]) ).
tcf(c_79569,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79530,c_15984]) ).
tcf(c_79607,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_75816]) ).
tcf(c_79608,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_75816]) ).
tcf(c_79609,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75816]) ).
tcf(c_79610,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75816,c_14924]) ).
tcf(c_79611,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_75816,c_14868]) ).
tcf(c_79612,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75816,c_100]) ).
tcf(c_79613,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_75816,c_14924]) ).
tcf(c_79614,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_75816,c_14924]) ).
tcf(c_79615,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c1,identity) ) ),
inference(superposition,[status(thm)],[c_75816,c_2925]) ).
tcf(c_79616,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_75816,c_2923]) ).
tcf(c_79617,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_75816,c_2921]) ).
tcf(c_79619,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_79611,c_75825]) ).
tcf(c_79639,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79610,c_15984]) ).
tcf(c_79728,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_75817]) ).
tcf(c_79729,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_75817]) ).
tcf(c_79730,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75817]) ).
tcf(c_79731,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75817,c_14924]) ).
tcf(c_79732,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_75817,c_14868]) ).
tcf(c_79733,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75817,c_100]) ).
tcf(c_79734,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_75817,c_14924]) ).
tcf(c_79735,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_75817,c_14924]) ).
tcf(c_79736,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c1,identity) ) ),
inference(superposition,[status(thm)],[c_75817,c_2925]) ).
tcf(c_79737,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_75817,c_2923]) ).
tcf(c_79738,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_75817,c_2921]) ).
tcf(c_79740,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_79732,c_75825]) ).
tcf(c_79760,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_79731,c_15984]) ).
tcf(c_79861,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1357,c_5977]) ).
tcf(c_79866,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23562,c_5977]) ).
tcf(c_79877,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_23565,c_5977]) ).
tcf(c_79879,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77042,c_5977]) ).
tcf(c_79880,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76297,c_5977]) ).
tcf(c_79881,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67239,c_5977]) ).
tcf(c_79897,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(sk_c1,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5977,c_14924]) ).
tcf(c_79899,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5977,c_100]) ).
tcf(c_79900,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(sk_c1,X1) ) ),
inference(superposition,[status(thm)],[c_5977,c_14924]) ).
tcf(c_79901,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c1)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5977,c_14924]) ).
tcf(c_79917,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_79899,c_23561,c_23929]) ).
tcf(c_79921,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(sk_c1,multiply(X0,X1)))) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_79897,c_23561,c_23929]) ).
tcf(c_80024,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_77383,c_15955]) ).
tcf(c_80052,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_80024,c_75799]) ).
tcf(c_80053,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_80024,c_75798]) ).
tcf(c_80054,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_80024,c_75797]) ).
tcf(c_80055,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_80024,c_75796]) ).
tcf(c_80056,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_80024,c_75795]) ).
tcf(c_80059,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_80024,c_76113]) ).
tcf(c_80060,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_80024,c_75732]) ).
tcf(c_80061,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_80024,c_75707]) ).
tcf(c_80062,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_80024,c_68514]) ).
tcf(c_80063,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_80024,c_52664]) ).
tcf(c_80064,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_80024,c_52662]) ).
tcf(c_80065,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_80024,c_50282]) ).
tcf(c_80066,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_80024,c_50280]) ).
tcf(c_80067,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_80024,c_44215]) ).
tcf(c_80070,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_80024,c_14917]) ).
tcf(c_80072,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_80024,c_3735]) ).
tcf(c_80073,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_80024,c_2924]) ).
tcf(c_80074,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_80024,c_2923]) ).
tcf(c_80075,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_80024,c_2922]) ).
tcf(c_80084,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_80024,c_1359]) ).
tcf(c_80085,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_80024,c_1329]) ).
tcf(c_80086,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_80024,c_1305]) ).
tcf(c_80087,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_80024,c_1281]) ).
tcf(c_80088,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_80024,c_1203]) ).
tcf(c_80098,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_80024,c_574]) ).
tcf(c_80099,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_80024,c_572]) ).
tcf(c_80100,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_80024,c_568]) ).
tcf(c_80103,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_80100,c_11416]) ).
tcf(c_80108,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_80098,c_10789]) ).
tcf(c_80135,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_80075,c_10893]) ).
tcf(c_80140,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_80073,c_11425]) ).
tcf(c_80230,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_77717,c_15955]) ).
tcf(c_80257,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80230,c_66323]) ).
tcf(c_80281,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_80230,c_53869]) ).
tcf(c_80282,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_80230,c_53866]) ).
tcf(c_80284,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80230,c_43804]) ).
tcf(c_80285,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_80230,c_38079]) ).
tcf(c_80287,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_80230,c_38028]) ).
tcf(c_80297,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80230,c_4098]) ).
tcf(c_80300,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_80230,c_12170]) ).
tcf(c_80301,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_80230,c_2927]) ).
tcf(c_80302,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80230,c_2104]) ).
tcf(c_80303,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80230,c_2029]) ).
tcf(c_80304,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80230,c_1959]) ).
tcf(c_80305,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80230,c_1845]) ).
tcf(c_80314,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_80230,c_2942]) ).
tcf(c_80315,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_80230,c_1108]) ).
tcf(c_80317,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80230,c_569]) ).
tcf(c_80329,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80314,c_5123]) ).
tcf(c_80450,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78891,c_66606]) ).
tcf(c_80467,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78891,c_56204]) ).
tcf(c_80471,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78891,c_48478]) ).
tcf(c_80484,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_78891,c_34530]) ).
tcf(c_80485,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_78891,c_34527]) ).
tcf(c_80486,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78891,c_26788]) ).
tcf(c_80487,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78891,c_26546]) ).
tcf(c_80488,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78891,c_26422]) ).
tcf(c_80489,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78891,c_25284]) ).
tcf(c_80490,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78891,c_25055]) ).
tcf(c_80492,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78891,c_26791]) ).
tcf(c_80494,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78891,c_26421]) ).
tcf(c_80495,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78891,c_25282]) ).
tcf(c_80496,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78891,c_3720]) ).
tcf(c_80497,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_78891,c_2927]) ).
tcf(c_80498,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_78891,c_2926]) ).
tcf(c_80510,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78891,c_1139]) ).
tcf(c_80515,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78891,c_1082]) ).
tcf(c_80517,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_78891,c_1080]) ).
tcf(c_80520,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78891,c_2098]) ).
tcf(c_80521,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78891,c_2024]) ).
tcf(c_80524,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78891,c_1842]) ).
tcf(c_80557,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = identity ) ),
inference(light_normalisation,[status(thm)],[c_80485,c_38018]) ).
tcf(c_80581,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80484,c_35632]) ).
tcf(c_80719,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_80257,c_76111]) ).
tcf(c_80720,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_80257,c_5959]) ).
tcf(c_80722,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_80257,c_5958]) ).
tcf(c_80740,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_80257,c_44213]) ).
tcf(c_80749,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_80257,c_23565]) ).
tcf(c_80750,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_80257,c_23562]) ).
tcf(c_80752,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_80257,c_3733]) ).
tcf(c_80753,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_80257,c_2925]) ).
tcf(c_80756,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_80257,c_1357]) ).
tcf(c_80757,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_80257,c_1327]) ).
tcf(c_80758,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_80257,c_1303]) ).
tcf(c_80759,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_80257,c_1279]) ).
tcf(c_80760,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_80257,c_1201]) ).
tcf(c_80762,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_80257,c_2948]) ).
tcf(c_80763,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_80257,c_1102]) ).
tcf(c_80877,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_80557,c_53869]) ).
tcf(c_80878,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_80557,c_53866]) ).
tcf(c_80879,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_44070]) ).
tcf(c_80880,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_43804]) ).
tcf(c_80881,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(identity,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_80557,c_38079]) ).
tcf(c_80883,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_80557,c_38028]) ).
tcf(c_80893,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_4098]) ).
tcf(c_80895,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_3910]) ).
tcf(c_80896,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_80557,c_12170]) ).
tcf(c_80897,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_80557,c_2927]) ).
tcf(c_80898,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_2104]) ).
tcf(c_80899,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_2029]) ).
tcf(c_80900,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_1959]) ).
tcf(c_80901,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_1845]) ).
tcf(c_80902,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_1647]) ).
tcf(c_80903,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_1598]) ).
tcf(c_80904,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_1556]) ).
tcf(c_80905,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80557,c_1487]) ).
tcf(c_80911,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = identity ) ),
inference(superposition,[status(thm)],[c_80557,c_1108]) ).
tcf(c_80913,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_80557,c_569]) ).
tcf(c_80923,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_15) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_80883,c_53923]) ).
tcf(c_80962,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),X0) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_80881,c_98]) ).
tcf(c_81106,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_75818]) ).
tcf(c_81107,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_75818]) ).
tcf(c_81108,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75818]) ).
tcf(c_81109,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75818,c_14924]) ).
tcf(c_81110,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_75818,c_14868]) ).
tcf(c_81111,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75818,c_100]) ).
tcf(c_81112,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_75818,c_14924]) ).
tcf(c_81113,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_75818,c_14924]) ).
tcf(c_81114,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c1,identity) ) ),
inference(superposition,[status(thm)],[c_75818,c_2925]) ).
tcf(c_81115,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_75818,c_2923]) ).
tcf(c_81116,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_75818,c_2921]) ).
tcf(c_81118,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_81110,c_75825]) ).
tcf(c_81138,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81109,c_15984]) ).
tcf(c_81181,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_75819]) ).
tcf(c_81182,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_75819]) ).
tcf(c_81183,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75819]) ).
tcf(c_81184,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75819,c_14924]) ).
tcf(c_81185,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_75819,c_14868]) ).
tcf(c_81186,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75819,c_100]) ).
tcf(c_81187,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_75819,c_14924]) ).
tcf(c_81188,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_75819,c_14924]) ).
tcf(c_81189,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c1,identity) ) ),
inference(superposition,[status(thm)],[c_75819,c_2925]) ).
tcf(c_81190,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_75819,c_2923]) ).
tcf(c_81191,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_75819,c_2921]) ).
tcf(c_81193,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_81185,c_75825]) ).
tcf(c_81213,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81184,c_15984]) ).
tcf(c_81265,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_52657,c_75820]) ).
tcf(c_81266,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_50275,c_75820]) ).
tcf(c_81286,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_75820]) ).
tcf(c_81287,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_75820]) ).
tcf(c_81288,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75820]) ).
tcf(c_81289,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75820,c_14924]) ).
tcf(c_81290,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_75820,c_14868]) ).
tcf(c_81291,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75820,c_100]) ).
tcf(c_81292,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_75820,c_14924]) ).
tcf(c_81293,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_75820,c_14924]) ).
tcf(c_81294,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c1,identity) ) ),
inference(superposition,[status(thm)],[c_75820,c_2925]) ).
tcf(c_81295,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_75820,c_2923]) ).
tcf(c_81296,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_75820,c_2921]) ).
tcf(c_81298,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_81290,c_75825]) ).
tcf(c_81318,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81289,c_15984]) ).
tcf(c_81499,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_52657,c_75821]) ).
tcf(c_81500,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_50275,c_75821]) ).
tcf(c_81520,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_75821]) ).
tcf(c_81521,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_75821]) ).
tcf(c_81522,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75821]) ).
tcf(c_81523,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75821,c_14924]) ).
tcf(c_81524,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_75821,c_14868]) ).
tcf(c_81525,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75821,c_100]) ).
tcf(c_81526,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_75821,c_14924]) ).
tcf(c_81527,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_75821,c_14924]) ).
tcf(c_81528,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c1,identity) ) ),
inference(superposition,[status(thm)],[c_75821,c_2925]) ).
tcf(c_81529,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_75821,c_2923]) ).
tcf(c_81530,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_75821,c_2921]) ).
tcf(c_81532,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_81524,c_75825]) ).
tcf(c_81552,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81523,c_15984]) ).
tcf(c_81595,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75822]) ).
tcf(c_81596,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75822,c_14924]) ).
tcf(c_81597,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_75822,c_14868]) ).
tcf(c_81598,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75822,c_100]) ).
tcf(c_81599,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_75822,c_14924]) ).
tcf(c_81600,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_75822,c_14924]) ).
tcf(c_81601,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c1,identity) ) ),
inference(superposition,[status(thm)],[c_75822,c_2925]) ).
tcf(c_81602,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_75822,c_2923]) ).
tcf(c_81603,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_75822,c_2921]) ).
tcf(c_81607,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_81597,c_75825]) ).
tcf(c_81618,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81596,c_15984]) ).
tcf(c_81653,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_75823]) ).
tcf(c_81654,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75823,c_14924]) ).
tcf(c_81655,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_75823,c_14868]) ).
tcf(c_81656,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_75823,c_100]) ).
tcf(c_81657,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_75823,c_14924]) ).
tcf(c_81658,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_75823,c_14924]) ).
tcf(c_81659,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c1,identity) ) ),
inference(superposition,[status(thm)],[c_75823,c_2925]) ).
tcf(c_81660,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_75823,c_2923]) ).
tcf(c_81661,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_75823,c_2921]) ).
tcf(c_81665,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c8) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_81655,c_75825]) ).
tcf(c_81676,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81654,c_15984]) ).
tcf(c_81698,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_78092]) ).
tcf(c_81699,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_78092]) ).
tcf(c_81700,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_78092]) ).
tcf(c_81701,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_78092,c_14924]) ).
tcf(c_81702,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_78092,c_14868]) ).
tcf(c_81703,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_78092,c_100]) ).
tcf(c_81704,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_78092,c_14924]) ).
tcf(c_81705,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_13,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_78092,c_14924]) ).
tcf(c_81708,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_78092,c_35577]) ).
tcf(c_81709,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_78092,c_35576]) ).
tcf(c_81710,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_78092,c_35575]) ).
tcf(c_81711,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_78092,c_35574]) ).
tcf(c_81714,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_78092,c_34530]) ).
tcf(c_81741,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81703,c_98]) ).
tcf(c_81744,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_81704,c_15955,c_68906]) ).
tcf(c_81747,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81701,c_15984]) ).
tcf(c_81860,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_78093]) ).
tcf(c_81861,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_78093]) ).
tcf(c_81862,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_78093]) ).
tcf(c_81863,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_78093,c_14924]) ).
tcf(c_81864,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_78093,c_14868]) ).
tcf(c_81865,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_78093,c_100]) ).
tcf(c_81866,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_78093,c_14924]) ).
tcf(c_81867,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_13,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_78093,c_14924]) ).
tcf(c_81870,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_78093,c_35577]) ).
tcf(c_81871,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_78093,c_35576]) ).
tcf(c_81872,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_78093,c_35575]) ).
tcf(c_81873,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_78093,c_35574]) ).
tcf(c_81876,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_78093,c_34530]) ).
tcf(c_81903,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81865,c_98]) ).
tcf(c_81906,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_81866,c_15955,c_68906]) ).
tcf(c_81909,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81863,c_15984]) ).
tcf(c_82007,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_76297,c_5978]) ).
tcf(c_82008,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_67239,c_5978]) ).
tcf(c_82024,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(sk_c1,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5978,c_14924]) ).
tcf(c_82025,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5978,c_14868]) ).
tcf(c_82026,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_5978,c_100]) ).
tcf(c_82027,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5978,c_14924]) ).
tcf(c_82028,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5978,c_53869]) ).
tcf(c_82038,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_15,multiply(sk_c1,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_82024,c_15984]) ).
tcf(c_82058,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_80317,c_584]) ).
tcf(c_82060,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_80317,c_38079]) ).
tcf(c_82061,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_80317,c_38028]) ).
tcf(c_82075,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_78324,c_78515]) ).
tcf(c_82076,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_76392,c_78515]) ).
tcf(c_82078,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_66615,c_78515]) ).
tcf(c_82100,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_21,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_78515,c_14924]) ).
tcf(c_82101,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_78515,c_14868]) ).
tcf(c_82103,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_21)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_78515,c_14924]) ).
tcf(c_82106,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,sk_c9) = multiply(iPr_def_22,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_78515,c_5372]) ).
tcf(c_82113,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_82106,c_5364]) ).
tcf(c_82170,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_80257,c_78943]) ).
tcf(c_82171,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_78943]) ).
tcf(c_82172,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76297,c_78943]) ).
tcf(c_82192,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64470,c_78943]) ).
tcf(c_82193,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63522,c_78943]) ).
tcf(c_82194,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60967,c_78943]) ).
tcf(c_82195,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60379,c_78943]) ).
tcf(c_82196,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58425,c_78943]) ).
tcf(c_82197,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_57105,c_78943]) ).
tcf(c_82199,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39649,c_78943]) ).
tcf(c_82200,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39648,c_78943]) ).
tcf(c_82221,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1901,c_78943]) ).
tcf(c_82223,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1808,c_78943]) ).
tcf(c_82234,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_629,c_78943]) ).
tcf(c_82235,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_628,c_78943]) ).
tcf(c_82236,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_627,c_78943]) ).
tcf(c_82237,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_625,c_78943]) ).
tcf(c_82238,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_78943]) ).
tcf(c_82239,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_78943]) ).
tcf(c_82240,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_78943]) ).
tcf(c_82241,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_78943]) ).
tcf(c_82246,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_78943,c_14924]) ).
tcf(c_82247,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_25) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_78943,c_14868]) ).
tcf(c_82249,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_78943,c_14924]) ).
tcf(c_82251,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_78943,c_5977]) ).
tcf(c_82252,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_78943,c_5958]) ).
tcf(c_82253,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_78943,c_2948]) ).
tcf(c_82360,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39649,c_78944]) ).
tcf(c_82361,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39648,c_78944]) ).
tcf(c_82384,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1808,c_78944]) ).
tcf(c_82395,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_629,c_78944]) ).
tcf(c_82396,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_628,c_78944]) ).
tcf(c_82397,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_627,c_78944]) ).
tcf(c_82398,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_625,c_78944]) ).
tcf(c_82399,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_620,c_78944]) ).
tcf(c_82400,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_619,c_78944]) ).
tcf(c_82401,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_618,c_78944]) ).
tcf(c_82402,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_616,c_78944]) ).
tcf(c_82407,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_78944,c_14924]) ).
tcf(c_82408,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_21) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_78944,c_14868]) ).
tcf(c_82410,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_78944,c_14924]) ).
tcf(c_82412,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_21) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_78944,c_2946]) ).
tcf(c_82458,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34351,c_28504]) ).
tcf(c_82459,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_31259,c_28504]) ).
tcf(c_82460,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_30942,c_28504]) ).
tcf(c_82461,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_30693,c_28504]) ).
tcf(c_82462,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_29411,c_28504]) ).
tcf(c_82463,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_28896,c_28504]) ).
tcf(c_82464,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_28667,c_28504]) ).
tcf(c_82468,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_28504,c_584]) ).
tcf(c_82471,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_28504,c_38079]) ).
tcf(c_82472,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_28504,c_38028]) ).
tcf(c_82524,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34286,c_14868]) ).
tcf(c_82526,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c10 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_34286,c_584]) ).
tcf(c_82527,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c1 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34286,c_23955]) ).
tcf(c_82628,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82527,c_78943]) ).
tcf(c_82629,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_82527,c_5978]) ).
tcf(c_82631,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_82527,c_5977]) ).
tcf(c_82633,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82527,c_76111]) ).
tcf(c_82634,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_82527,c_5959]) ).
tcf(c_82636,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_82527,c_5958]) ).
tcf(c_82654,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82527,c_44213]) ).
tcf(c_82663,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_82527,c_23565]) ).
tcf(c_82664,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_82527,c_23562]) ).
tcf(c_82666,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82527,c_3733]) ).
tcf(c_82667,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_82527,c_2925]) ).
tcf(c_82670,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82527,c_1357]) ).
tcf(c_82671,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82527,c_1327]) ).
tcf(c_82672,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82527,c_1303]) ).
tcf(c_82673,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82527,c_1279]) ).
tcf(c_82674,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82527,c_1201]) ).
tcf(c_82676,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_82527,c_2948]) ).
tcf(c_82677,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_82527,c_1102]) ).
tcf(c_82854,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_31259,c_34349]) ).
tcf(c_82855,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_30942,c_34349]) ).
tcf(c_82856,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_30693,c_34349]) ).
tcf(c_82857,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_29411,c_34349]) ).
tcf(c_82858,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_28896,c_34349]) ).
tcf(c_82859,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_28667,c_34349]) ).
tcf(c_82863,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_34349,c_584]) ).
tcf(c_82866,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_34349,c_38079]) ).
tcf(c_82867,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34349,c_38028]) ).
tcf(c_82944,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_78188]) ).
tcf(c_82945,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_78188]) ).
tcf(c_82946,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_78188]) ).
tcf(c_82947,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_78188,c_14924]) ).
tcf(c_82948,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_13),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_78188,c_14868]) ).
tcf(c_82949,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_78188,c_100]) ).
tcf(c_82950,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_78188,c_14924]) ).
tcf(c_82951,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_13,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_78188,c_14924]) ).
tcf(c_82954,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_78188,c_35577]) ).
tcf(c_82955,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_78188,c_35576]) ).
tcf(c_82956,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_78188,c_35575]) ).
tcf(c_82957,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_78188,c_35574]) ).
tcf(c_82960,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_78188,c_34530]) ).
tcf(c_82987,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_82949,c_98]) ).
tcf(c_82990,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_82950,c_15955,c_68906]) ).
tcf(c_82993,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_82947,c_15984]) ).
tcf(c_83172,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_27710,c_78189]) ).
tcf(c_83173,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_4220,c_78189]) ).
tcf(c_83174,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_78189]) ).
tcf(c_83175,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_78189,c_14924]) ).
tcf(c_83176,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_13),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_78189,c_14868]) ).
tcf(c_83177,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_78189,c_100]) ).
tcf(c_83178,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_78189,c_14924]) ).
tcf(c_83179,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_13,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_78189,c_14924]) ).
tcf(c_83182,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_78189,c_35577]) ).
tcf(c_83183,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_78189,c_35576]) ).
tcf(c_83184,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_78189,c_35575]) ).
tcf(c_83185,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_78189,c_35574]) ).
tcf(c_83188,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_78189,c_34530]) ).
tcf(c_83215,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83177,c_98]) ).
tcf(c_83218,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_83178,c_15955,c_68906]) ).
tcf(c_83221,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83175,c_15984]) ).
tcf(c_83282,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_79528]) ).
tcf(c_83283,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_79528,c_14924]) ).
tcf(c_83284,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_79528,c_14868]) ).
tcf(c_83285,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_79528,c_100]) ).
tcf(c_83286,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_79528,c_14924]) ).
tcf(c_83287,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_13,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_79528,c_14924]) ).
tcf(c_83290,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_79528,c_35577]) ).
tcf(c_83291,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_79528,c_35576]) ).
tcf(c_83292,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_79528,c_35575]) ).
tcf(c_83293,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_79528,c_35574]) ).
tcf(c_83296,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_79528,c_34530]) ).
tcf(c_83312,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83285,c_98]) ).
tcf(c_83315,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_83286,c_15955,c_68906]) ).
tcf(c_83318,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83283,c_15984]) ).
tcf(c_83329,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_957,c_79529]) ).
tcf(c_83330,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_79529,c_14924]) ).
tcf(c_83331,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_79529,c_14868]) ).
tcf(c_83332,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_79529,c_100]) ).
tcf(c_83333,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_79529,c_14924]) ).
tcf(c_83334,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_13,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_79529,c_14924]) ).
tcf(c_83337,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_79529,c_35577]) ).
tcf(c_83338,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_79529,c_35576]) ).
tcf(c_83339,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_79529,c_35575]) ).
tcf(c_83340,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_79529,c_35574]) ).
tcf(c_83343,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_79529,c_34530]) ).
tcf(c_83359,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83332,c_98]) ).
tcf(c_83362,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_83333,c_15955,c_68906]) ).
tcf(c_83365,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_13,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83330,c_15984]) ).
tcf(c_83403,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34158,c_5995]) ).
tcf(c_83420,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_25,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5995,c_14924]) ).
tcf(c_83421,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5995,c_14868]) ).
tcf(c_83423,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,sk_c9)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5995,c_14924]) ).
tcf(c_83431,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,iPr_def_25) = multiply(iPr_def_26,sk_c9) ) ),
inference(superposition,[status(thm)],[c_5995,c_5615]) ).
tcf(c_83449,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_80024,c_78945]) ).
tcf(c_83480,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_39649,c_78945]) ).
tcf(c_83481,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_39648,c_78945]) ).
tcf(c_83504,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1808,c_78945]) ).
tcf(c_83515,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_629,c_78945]) ).
tcf(c_83516,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_628,c_78945]) ).
tcf(c_83517,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_627,c_78945]) ).
tcf(c_83518,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_625,c_78945]) ).
tcf(c_83519,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_620,c_78945]) ).
tcf(c_83520,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_619,c_78945]) ).
tcf(c_83521,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_618,c_78945]) ).
tcf(c_83522,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_616,c_78945]) ).
tcf(c_83527,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_78945,c_14924]) ).
tcf(c_83528,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_18) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_78945,c_14868]) ).
tcf(c_83530,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_78945,c_14924]) ).
tcf(c_83532,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,sk_c10) ) ),
inference(superposition,[status(thm)],[c_78945,c_2924]) ).
tcf(c_83533,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,sk_c10) ) ),
inference(superposition,[status(thm)],[c_78945,c_2922]) ).
tcf(c_83539,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,sk_c9) ) ),
inference(light_normalisation,[status(thm)],[c_83533,c_10789]) ).
tcf(c_83542,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c10) = multiply(iPr_def_14,sk_c9) ) ),
inference(light_normalisation,[status(thm)],[c_83532,c_11416]) ).
tcf(c_83610,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_76392,c_80099]) ).
tcf(c_83612,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_66615,c_80099]) ).
tcf(c_83634,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_18,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_80099,c_14924]) ).
tcf(c_83649,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c10) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_78324,c_80103]) ).
tcf(c_83650,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_76392,c_80103]) ).
tcf(c_83651,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_67998,c_80103]) ).
tcf(c_83652,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_66615,c_80103]) ).
tcf(c_83655,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_39650,c_80103]) ).
tcf(c_83665,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1188,c_80103]) ).
tcf(c_83668,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_612,c_80103]) ).
tcf(c_83669,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_611,c_80103]) ).
tcf(c_83670,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_610,c_80103]) ).
tcf(c_83671,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_609,c_80103]) ).
tcf(c_83672,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_607,c_80103]) ).
tcf(c_83674,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_14,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_80103,c_14924]) ).
tcf(c_83675,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_80103,c_14868]) ).
tcf(c_83677,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_80103,c_14924]) ).
tcf(c_83683,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,sk_c9) = multiply(iPr_def_17,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_80103,c_5201]) ).
tcf(c_83741,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_43210,c_635,c_637,c_567,c_630,c_1260,c_1350,c_4342,c_4714,c_4715,c_20816,c_47014,c_52385,c_67851,c_74203,c_78324]) ).
tcf(c_83827,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_78324,c_80108]) ).
tcf(c_83828,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_76392,c_80108]) ).
tcf(c_83829,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_67998,c_80108]) ).
tcf(c_83830,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_66615,c_80108]) ).
tcf(c_83833,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39650,c_80108]) ).
tcf(c_83843,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1188,c_80108]) ).
tcf(c_83846,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_612,c_80108]) ).
tcf(c_83847,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_611,c_80108]) ).
tcf(c_83848,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_610,c_80108]) ).
tcf(c_83849,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_609,c_80108]) ).
tcf(c_83850,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_607,c_80108]) ).
tcf(c_83852,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_80108,c_14924]) ).
tcf(c_83853,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_80108,c_14868]) ).
tcf(c_83855,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_20)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_80108,c_14924]) ).
tcf(c_83862,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,sk_c9) = multiply(iPr_def_19,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_80108,c_5362]) ).
tcf(c_83995,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_44836,c_14868]) ).
tcf(c_83996,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_44836,c_99]) ).
tcf(c_83997,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c10 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_44836,c_584]) ).
tcf(c_83998,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44836,c_27329]) ).
tcf(c_83999,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44836,c_4532]) ).
tcf(c_84035,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_83999,c_66710]) ).
tcf(c_84036,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_66606]) ).
tcf(c_84037,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_83999,c_5935]) ).
tcf(c_84038,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_64852]) ).
tcf(c_84039,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83999,c_64851]) ).
tcf(c_84040,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_63672]) ).
tcf(c_84041,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83999,c_63671]) ).
tcf(c_84042,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_62965]) ).
tcf(c_84043,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83999,c_62964]) ).
tcf(c_84044,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_60525]) ).
tcf(c_84045,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83999,c_60524]) ).
tcf(c_84046,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_58624]) ).
tcf(c_84047,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83999,c_58623]) ).
tcf(c_84048,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_57354]) ).
tcf(c_84049,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83999,c_57353]) ).
tcf(c_84052,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_83999,c_5380]) ).
tcf(c_84053,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_83999,c_5378]) ).
tcf(c_84062,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_83999,c_23565]) ).
tcf(c_84063,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_25) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_83999,c_23929]) ).
tcf(c_84064,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_83999,c_23562]) ).
tcf(c_84071,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_83999,c_5621]) ).
tcf(c_84072,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_83999,c_5615]) ).
tcf(c_84073,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_4424]) ).
tcf(c_84074,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83999,c_4423]) ).
tcf(c_84075,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_83999,c_4422]) ).
tcf(c_84076,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_4098]) ).
tcf(c_84077,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83999,c_4097]) ).
tcf(c_84078,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_83999,c_4096]) ).
tcf(c_84098,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_83999,c_5612]) ).
tcf(c_84099,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_83999,c_2948]) ).
tcf(c_84100,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_83999,c_1102]) ).
tcf(c_85837,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_44884,c_14868]) ).
tcf(c_85838,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_44884,c_99]) ).
tcf(c_85839,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c10 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_44884,c_584]) ).
tcf(c_85840,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44884,c_27329]) ).
tcf(c_85841,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_44884,c_4532]) ).
tcf(c_85842,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_44884,c_956]) ).
tcf(c_85871,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_45345,c_14868]) ).
tcf(c_85872,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_45345,c_99]) ).
tcf(c_85873,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c10 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_45345,c_584]) ).
tcf(c_85874,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_45345,c_27329]) ).
tcf(c_85875,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_45345,c_4532]) ).
tcf(c_85876,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_45345,c_956]) ).
tcf(c_85920,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34158,c_5996]) ).
tcf(c_85945,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1357,c_5996]) ).
tcf(c_85950,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23562,c_5996]) ).
tcf(c_85954,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_66117,c_5996]) ).
tcf(c_85962,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_23565,c_5996]) ).
tcf(c_85966,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77042,c_5996]) ).
tcf(c_85984,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(sk_c1,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5996,c_14924]) ).
tcf(c_85986,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5996,c_100]) ).
tcf(c_85987,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(sk_c1,X1) ) ),
inference(superposition,[status(thm)],[c_5996,c_14924]) ).
tcf(c_85988,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_25,sk_c1)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5996,c_14924]) ).
tcf(c_85996,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(sk_c1,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_5996,c_5615]) ).
tcf(c_86012,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_85986,c_23561,c_23929]) ).
tcf(c_86018,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(sk_c1,multiply(X0,X1)))) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_85984,c_23561,c_23929]) ).
tcf(c_86036,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_83996,c_14924]) ).
tcf(c_86037,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_83996,c_14868]) ).
tcf(c_86038,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_83996,c_100]) ).
tcf(c_86039,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_83996,c_14924]) ).
tcf(c_86044,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(iPr_def_13,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_83996,c_5377]) ).
tcf(c_86045,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_83996,c_5401]) ).
tcf(c_86046,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_20) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_83996,c_5362]) ).
tcf(c_86057,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_86039,c_15955]) ).
tcf(c_86060,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_86036,c_15984]) ).
tcf(c_86073,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_85838,c_14924]) ).
tcf(c_86074,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85838,c_14868]) ).
tcf(c_86075,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_85838,c_100]) ).
tcf(c_86076,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85838,c_14924]) ).
tcf(c_86081,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_13,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85838,c_5377]) ).
tcf(c_86082,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85838,c_5401]) ).
tcf(c_86083,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_20) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_85838,c_5362]) ).
tcf(c_86095,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_86076,c_15955]) ).
tcf(c_86098,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_86073,c_15984]) ).
tcf(c_86111,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_85872,c_14924]) ).
tcf(c_86112,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85872,c_14868]) ).
tcf(c_86113,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_85872,c_100]) ).
tcf(c_86114,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85872,c_14924]) ).
tcf(c_86119,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85872,c_5377]) ).
tcf(c_86120,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_85872,c_5401]) ).
tcf(c_86121,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_20) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_85872,c_5362]) ).
tcf(c_86133,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_86114,c_15955]) ).
tcf(c_86136,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_86111,c_15984]) ).
tcf(c_86148,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_48861,c_14868]) ).
tcf(c_86149,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_48861,c_99]) ).
tcf(c_86150,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c10 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_48861,c_584]) ).
tcf(c_86151,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48861,c_27329]) ).
tcf(c_86182,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_5996]) ).
tcf(c_86183,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_86151,c_5995]) ).
tcf(c_86184,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_76295]) ).
tcf(c_86185,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_86151,c_5976]) ).
tcf(c_86186,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_86151,c_76113]) ).
tcf(c_86187,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_86151,c_76112]) ).
tcf(c_86188,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86151,c_76111]) ).
tcf(c_86189,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_86151,c_76389]) ).
tcf(c_86190,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_5959]) ).
tcf(c_86191,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86151,c_26846]) ).
tcf(c_86192,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_86151,c_23965]) ).
tcf(c_86193,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_5958]) ).
tcf(c_86195,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_86151,c_5957]) ).
tcf(c_86196,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_86151,c_23963]) ).
tcf(c_86197,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_86151,c_23961]) ).
tcf(c_86198,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_86151,c_23960]) ).
tcf(c_86199,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_86151,c_23959]) ).
tcf(c_86200,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_86151,c_23958]) ).
tcf(c_86201,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_86151,c_23957]) ).
tcf(c_86202,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_86151,c_23956]) ).
tcf(c_86203,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_35337]) ).
tcf(c_86204,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_34934]) ).
tcf(c_86205,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_48478]) ).
tcf(c_86206,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86151,c_44070]) ).
tcf(c_86207,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_44069]) ).
tcf(c_86208,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_5382]) ).
tcf(c_86209,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_35573]) ).
tcf(c_86210,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_35572]) ).
tcf(c_86211,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_86151,c_44072]) ).
tcf(c_86212,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_5381]) ).
tcf(c_86213,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_38241]) ).
tcf(c_86214,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_37967]) ).
tcf(c_86215,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_37840]) ).
tcf(c_86216,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_37429]) ).
tcf(c_86217,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_34641]) ).
tcf(c_86218,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_34640]) ).
tcf(c_86219,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_34639]) ).
tcf(c_86220,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_34638]) ).
tcf(c_86221,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_26849]) ).
tcf(c_86226,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_25055]) ).
tcf(c_86227,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_24883]) ).
tcf(c_86228,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_5398]) ).
tcf(c_86229,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_5397]) ).
tcf(c_86230,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_5396]) ).
tcf(c_86231,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_5395]) ).
tcf(c_86238,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_86151,c_5615]) ).
tcf(c_86239,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86151,c_3989]) ).
tcf(c_86240,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_3987]) ).
tcf(c_86241,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_3908]) ).
tcf(c_86242,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_3988]) ).
tcf(c_86243,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86151,c_3910]) ).
tcf(c_86244,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_3909]) ).
tcf(c_86246,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_7259]) ).
tcf(c_86247,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_7184]) ).
tcf(c_86248,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_6853]) ).
tcf(c_86249,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_6429]) ).
tcf(c_86251,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_1646]) ).
tcf(c_86252,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_1645]) ).
tcf(c_86254,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_1597]) ).
tcf(c_86255,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_1596]) ).
tcf(c_86257,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_1555]) ).
tcf(c_86258,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_1554]) ).
tcf(c_86260,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86151,c_1486]) ).
tcf(c_86261,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_1485]) ).
tcf(c_86262,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_86151,c_3991]) ).
tcf(c_86263,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_86151,c_3912]) ).
tcf(c_86265,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_86151,c_1649]) ).
tcf(c_86266,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_86151,c_1600]) ).
tcf(c_86267,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_86151,c_1558]) ).
tcf(c_86268,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_86151,c_1489]) ).
tcf(c_86270,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_86151,c_5612]) ).
tcf(c_86401,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = identity )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_86220,c_38018]) ).
tcf(c_86405,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = identity )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_86219,c_38018]) ).
tcf(c_86409,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = identity )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_86218,c_38018]) ).
tcf(c_86413,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = identity )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_86217,c_38018]) ).
tcf(c_86441,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_86185,c_5120]) ).
tcf(c_86482,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_86210,c_35632]) ).
tcf(c_86486,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_86209,c_35632]) ).
tcf(c_86493,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_86204,c_35632]) ).
tcf(c_86497,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_86203,c_35632]) ).
tcf(c_86525,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67817,c_48960]) ).
tcf(c_86526,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34351,c_48960]) ).
tcf(c_86527,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_31259,c_48960]) ).
tcf(c_86528,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30942,c_48960]) ).
tcf(c_86529,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30693,c_48960]) ).
tcf(c_86530,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_29411,c_48960]) ).
tcf(c_86531,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28896,c_48960]) ).
tcf(c_86532,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28667,c_48960]) ).
tcf(c_86534,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_48960,c_14868]) ).
tcf(c_86535,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_48960,c_99]) ).
tcf(c_86536,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_48960,c_584]) ).
tcf(c_86537,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_48960,c_34349]) ).
tcf(c_86540,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_48960,c_38079]) ).
tcf(c_86541,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_48960,c_38028]) ).
tcf(c_86542,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_86527,c_53942]) ).
tcf(c_86557,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_86529,c_53942]) ).
tcf(c_86561,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_86528,c_53942]) ).
tcf(c_86565,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_86526,c_53942]) ).
tcf(c_86623,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86542,c_66049]) ).
tcf(c_86624,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_64852]) ).
tcf(c_86626,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86542,c_64248]) ).
tcf(c_86627,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_62965]) ).
tcf(c_86630,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86542,c_60801]) ).
tcf(c_86634,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_57354]) ).
tcf(c_86635,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86542,c_56889]) ).
tcf(c_86636,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86542,c_53951]) ).
tcf(c_86637,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86542,c_53950]) ).
tcf(c_86639,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86542,c_53948]) ).
tcf(c_86642,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86542,c_53945]) ).
tcf(c_86647,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_44070]) ).
tcf(c_86648,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_43804]) ).
tcf(c_86649,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_86542,c_38079]) ).
tcf(c_86651,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_86542,c_38028]) ).
tcf(c_86659,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_4424]) ).
tcf(c_86662,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_3989]) ).
tcf(c_86664,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_86542,c_12170]) ).
tcf(c_86665,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_86542,c_2927]) ).
tcf(c_86666,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_2104]) ).
tcf(c_86667,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_2029]) ).
tcf(c_86668,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_1959]) ).
tcf(c_86669,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_1845]) ).
tcf(c_86670,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_1647]) ).
tcf(c_86671,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_1598]) ).
tcf(c_86672,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_1556]) ).
tcf(c_86673,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_1487]) ).
tcf(c_86678,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86542,c_2942]) ).
tcf(c_86679,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_86542,c_1108]) ).
tcf(c_86680,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86542,c_577]) ).
tcf(c_86905,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_5997]) ).
tcf(c_86907,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_34158,c_5997]) ).
tcf(c_86944,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(sk_c1,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5997,c_14924]) ).
tcf(c_86945,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5997,c_14868]) ).
tcf(c_86946,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_5997,c_100]) ).
tcf(c_86947,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_5997,c_14924]) ).
tcf(c_86955,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,sk_c1) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_5997,c_5615]) ).
tcf(c_86966,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_86947,c_15955]) ).
tcf(c_86969,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_25,multiply(sk_c1,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_86944,c_15984]) ).
tcf(c_87038,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_86149,c_14924]) ).
tcf(c_87039,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86149,c_14868]) ).
tcf(c_87040,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_86149,c_100]) ).
tcf(c_87041,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86149,c_14924]) ).
tcf(c_87046,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_13,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86149,c_5377]) ).
tcf(c_87047,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_86149,c_5401]) ).
tcf(c_87048,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_20) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_86149,c_5362]) ).
tcf(c_87060,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_87041,c_15955]) ).
tcf(c_87063,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_87038,c_15984]) ).
tcf(c_87084,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_34351,c_86535]) ).
tcf(c_87086,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_30942,c_86535]) ).
tcf(c_87087,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_30693,c_86535]) ).
tcf(c_87092,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_86535,c_14924]) ).
tcf(c_87093,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86535,c_14868]) ).
tcf(c_87094,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_86535,c_100]) ).
tcf(c_87095,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86535,c_14924]) ).
tcf(c_87098,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_86535,c_5123]) ).
tcf(c_87099,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_87093,c_53923]) ).
tcf(c_87114,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),X0) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_87095,c_15955]) ).
tcf(c_87117,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_87092,c_15984]) ).
tcf(c_87126,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78891,c_86680]) ).
tcf(c_87135,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_86680]) ).
tcf(c_87163,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_986,c_86680]) ).
tcf(c_87166,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_86680]) ).
tcf(c_87168,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_86680]) ).
tcf(c_87169,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_86680]) ).
tcf(c_87183,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_86680,c_14924]) ).
tcf(c_87184,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_86680,c_14868]) ).
tcf(c_87186,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_86680,c_14924]) ).
tcf(c_87187,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(iPr_def_15) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_86680,c_582]) ).
tcf(c_87188,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_86680,c_53869]) ).
tcf(c_87211,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != sk_c2 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_87187,c_53942]) ).
tcf(c_87291,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_86635,c_5997]) ).
tcf(c_87292,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86635,c_5996]) ).
tcf(c_87306,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86635,c_66117]) ).
tcf(c_87307,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86635,c_64314]) ).
tcf(c_87310,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86635,c_60865]) ).
tcf(c_87319,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86635,c_44213]) ).
tcf(c_87328,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86635,c_23565]) ).
tcf(c_87329,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_86635,c_23562]) ).
tcf(c_87330,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86635,c_3816]) ).
tcf(c_87332,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_86635,c_2925]) ).
tcf(c_87334,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86635,c_1705]) ).
tcf(c_87335,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86635,c_1357]) ).
tcf(c_87336,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86635,c_1327]) ).
tcf(c_87337,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86635,c_1303]) ).
tcf(c_87338,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86635,c_1279]) ).
tcf(c_87339,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86635,c_1201]) ).
tcf(c_87341,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86635,c_2948]) ).
tcf(c_87342,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_86635,c_1102]) ).
tcf(c_87343,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86635,c_579]) ).
tcf(c_87344,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_86635,c_580]) ).
tcf(c_87345,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_87344,c_53942]) ).
tcf(c_87408,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86642,c_39109]) ).
tcf(c_87409,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_18) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_86642,c_39242]) ).
tcf(c_87410,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_86642,c_39106]) ).
tcf(c_87413,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86642,c_5375]) ).
tcf(c_87414,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86642,c_25507]) ).
tcf(c_87415,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86642,c_25506]) ).
tcf(c_87417,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_86642,c_5372]) ).
tcf(c_87418,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86642,c_5001]) ).
tcf(c_87419,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86642,c_5000]) ).
tcf(c_87420,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_86642,c_4999]) ).
tcf(c_87424,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_86642,c_5364]) ).
tcf(c_87425,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(sk_c4,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86642,c_2946]) ).
tcf(c_87426,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c4) = identity ) ),
inference(superposition,[status(thm)],[c_86642,c_1104]) ).
tcf(c_87521,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87345,c_66049]) ).
tcf(c_87522,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_64852]) ).
tcf(c_87524,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87345,c_64248]) ).
tcf(c_87525,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_62965]) ).
tcf(c_87528,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87345,c_60801]) ).
tcf(c_87532,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_57354]) ).
tcf(c_87533,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87345,c_56889]) ).
tcf(c_87535,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87345,c_53951]) ).
tcf(c_87536,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87345,c_53950]) ).
tcf(c_87538,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87345,c_53948]) ).
tcf(c_87541,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87345,c_53945]) ).
tcf(c_87546,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_44070]) ).
tcf(c_87547,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_43804]) ).
tcf(c_87548,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_87345,c_38079]) ).
tcf(c_87550,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_87345,c_38028]) ).
tcf(c_87558,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_4424]) ).
tcf(c_87561,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_3989]) ).
tcf(c_87562,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_3910]) ).
tcf(c_87563,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_87345,c_12170]) ).
tcf(c_87564,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_87345,c_2927]) ).
tcf(c_87565,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_2104]) ).
tcf(c_87566,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_2029]) ).
tcf(c_87567,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_1959]) ).
tcf(c_87568,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_1845]) ).
tcf(c_87569,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_1647]) ).
tcf(c_87570,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_1598]) ).
tcf(c_87571,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_1556]) ).
tcf(c_87572,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_1487]) ).
tcf(c_87579,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87345,c_577]) ).
tcf(c_87580,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87345,c_569]) ).
tcf(c_87612,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_87572,c_5612]) ).
tcf(c_87616,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_87571,c_5612]) ).
tcf(c_87620,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_87570,c_5612]) ).
tcf(c_87624,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_87569,c_5612]) ).
tcf(c_87643,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_87561,c_5612]) ).
tcf(c_87653,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_87546,c_5612]) ).
tcf(c_87795,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_87533,c_5997]) ).
tcf(c_87796,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87533,c_5996]) ).
tcf(c_87803,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87533,c_76111]) ).
tcf(c_87810,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87533,c_66117]) ).
tcf(c_87811,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87533,c_64314]) ).
tcf(c_87814,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87533,c_60865]) ).
tcf(c_87823,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87533,c_44213]) ).
tcf(c_87834,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87533,c_3816]) ).
tcf(c_87836,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_87533,c_2925]) ).
tcf(c_87838,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87533,c_1705]) ).
tcf(c_87839,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87533,c_1357]) ).
tcf(c_87840,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87533,c_1327]) ).
tcf(c_87841,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87533,c_1303]) ).
tcf(c_87842,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87533,c_1279]) ).
tcf(c_87843,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87533,c_1201]) ).
tcf(c_87845,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87533,c_2948]) ).
tcf(c_87846,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_87533,c_1102]) ).
tcf(c_87847,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87533,c_579]) ).
tcf(c_87848,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_87533,c_580]) ).
tcf(c_88054,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_19,sk_c9) ) ),
inference(superposition,[status(thm)],[c_15955,c_6036]) ).
tcf(c_88055,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),sk_c8)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_75732,c_6036]) ).
tcf(c_88056,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_75823,c_6036]) ).
tcf(c_88060,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_75822,c_6036]) ).
tcf(c_88089,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(iPr_def_19,multiply(multiply(sk_c9,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6036,c_14924]) ).
tcf(c_88090,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),multiply(iPr_def_18,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_6036,c_14868]) ).
tcf(c_88091,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6036,c_100]) ).
tcf(c_88092,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(sk_c9,X1) ) ),
inference(superposition,[status(thm)],[c_6036,c_14924]) ).
tcf(c_88093,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,sk_c9)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6036,c_14924]) ).
tcf(c_88094,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_6036,c_39638]) ).
tcf(c_88098,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(sk_c9,X0) ) ),
inference(light_normalisation,[status(thm)],[c_88094,c_10893]) ).
tcf(c_88108,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_19,identity) ) ),
inference(light_normalisation,[status(thm)],[c_88055,c_75830]) ).
tcf(c_88129,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_87343]) ).
tcf(c_88130,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_87343]) ).
tcf(c_88131,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_87343]) ).
tcf(c_88151,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_87343,c_14924]) ).
tcf(c_88152,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87343,c_14868]) ).
tcf(c_88154,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87343,c_14924]) ).
tcf(c_88155,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87343,c_53869]) ).
tcf(c_88178,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_87579]) ).
tcf(c_88188,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4978,c_87579]) ).
tcf(c_88191,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4794,c_87579]) ).
tcf(c_88193,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_87579]) ).
tcf(c_88195,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4407,c_87579]) ).
tcf(c_88207,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_87579]) ).
tcf(c_88235,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_986,c_87579]) ).
tcf(c_88238,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_87579]) ).
tcf(c_88240,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_87579]) ).
tcf(c_88241,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_87579]) ).
tcf(c_88255,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_87579,c_14924]) ).
tcf(c_88256,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_87579,c_14868]) ).
tcf(c_88258,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_87579,c_14924]) ).
tcf(c_88259,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(iPr_def_26) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_87579,c_582]) ).
tcf(c_88261,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_87579,c_5378]) ).
tcf(c_88262,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_87579,c_5394]) ).
tcf(c_88263,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_87579,c_5393]) ).
tcf(c_88264,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_87579,c_5392]) ).
tcf(c_88265,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_87579,c_5391]) ).
tcf(c_88266,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_87579,c_23565]) ).
tcf(c_88317,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c1 != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_88259,c_23929]) ).
tcf(c_88352,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_83999,c_87847]) ).
tcf(c_88358,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18292,c_87847]) ).
tcf(c_88360,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_14212,c_87847]) ).
tcf(c_88362,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4978,c_87847]) ).
tcf(c_88365,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4794,c_87847]) ).
tcf(c_88367,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4507,c_87847]) ).
tcf(c_88368,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4415,c_87847]) ).
tcf(c_88369,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4407,c_87847]) ).
tcf(c_88376,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_87847]) ).
tcf(c_88377,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_87847]) ).
tcf(c_88397,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_87847,c_14924]) ).
tcf(c_88398,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87847,c_14868]) ).
tcf(c_88400,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87847,c_14924]) ).
tcf(c_88402,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87847,c_5378]) ).
tcf(c_88403,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87847,c_5394]) ).
tcf(c_88404,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87847,c_5393]) ).
tcf(c_88405,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87847,c_5392]) ).
tcf(c_88406,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87847,c_5391]) ).
tcf(c_88407,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87847,c_23565]) ).
tcf(c_88593,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87541,c_5935]) ).
tcf(c_88594,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87541,c_64852]) ).
tcf(c_88595,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_64851]) ).
tcf(c_88598,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87541,c_62965]) ).
tcf(c_88599,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_62964]) ).
tcf(c_88604,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87541,c_57354]) ).
tcf(c_88605,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_57353]) ).
tcf(c_88606,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87541,c_43804]) ).
tcf(c_88607,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_43803]) ).
tcf(c_88609,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87541,c_5378]) ).
tcf(c_88610,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_38237]) ).
tcf(c_88611,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_37963]) ).
tcf(c_88612,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_37836]) ).
tcf(c_88613,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_37425]) ).
tcf(c_88614,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87541,c_5394]) ).
tcf(c_88615,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87541,c_5393]) ).
tcf(c_88616,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87541,c_5392]) ).
tcf(c_88617,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87541,c_5391]) ).
tcf(c_88618,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87541,c_23565]) ).
tcf(c_88619,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_87541,c_23929]) ).
tcf(c_88620,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_87541,c_23562]) ).
tcf(c_88628,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_87541,c_5615]) ).
tcf(c_88629,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87541,c_4424]) ).
tcf(c_88630,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_4423]) ).
tcf(c_88631,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_87541,c_4422]) ).
tcf(c_88636,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_7255]) ).
tcf(c_88637,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_7180]) ).
tcf(c_88638,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_6849]) ).
tcf(c_88639,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_6425]) ).
tcf(c_88640,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87541,c_2104]) ).
tcf(c_88641,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_2103]) ).
tcf(c_88642,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_87541,c_2102]) ).
tcf(c_88643,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87541,c_2029]) ).
tcf(c_88644,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_2028]) ).
tcf(c_88645,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_87541,c_2027]) ).
tcf(c_88646,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87541,c_1959]) ).
tcf(c_88647,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_1958]) ).
tcf(c_88648,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_87541,c_1957]) ).
tcf(c_88649,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87541,c_1845]) ).
tcf(c_88650,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_87541,c_1844]) ).
tcf(c_88651,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_87541,c_1843]) ).
tcf(c_88652,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87541,c_4978]) ).
tcf(c_88655,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87541,c_4794]) ).
tcf(c_88657,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87541,c_4507]) ).
tcf(c_88659,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87541,c_4407]) ).
tcf(c_88662,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_87541,c_5612]) ).
tcf(c_88663,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87541,c_2948]) ).
tcf(c_88664,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_87541,c_1102]) ).
tcf(c_88667,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_88619,c_35515]) ).
tcf(c_88859,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_88652,c_5997]) ).
tcf(c_88861,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88652,c_5996]) ).
tcf(c_88862,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_88652,c_5995]) ).
tcf(c_88868,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88652,c_76389]) ).
tcf(c_88874,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_88652,c_23963]) ).
tcf(c_88875,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_88652,c_23961]) ).
tcf(c_88876,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_88652,c_23960]) ).
tcf(c_88877,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_88652,c_23959]) ).
tcf(c_88878,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_88652,c_23958]) ).
tcf(c_88879,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_88652,c_23957]) ).
tcf(c_88883,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88652,c_48478]) ).
tcf(c_88889,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88652,c_44072]) ).
tcf(c_88901,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88652,c_26788]) ).
tcf(c_88902,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88652,c_26546]) ).
tcf(c_88903,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88652,c_26422]) ).
tcf(c_88904,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88652,c_25284]) ).
tcf(c_88905,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88652,c_27658]) ).
tcf(c_88906,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88652,c_27657]) ).
tcf(c_88907,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88652,c_27656]) ).
tcf(c_88908,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88652,c_25055]) ).
tcf(c_88909,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88652,c_24883]) ).
tcf(c_88924,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_88652,c_5615]) ).
tcf(c_88948,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88652,c_3991]) ).
tcf(c_88951,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88652,c_1649]) ).
tcf(c_88952,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88652,c_1600]) ).
tcf(c_88953,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88652,c_1558]) ).
tcf(c_88954,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88652,c_1489]) ).
tcf(c_88956,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_88652,c_5612]) ).
tcf(c_88967,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_88954,c_35515]) ).
tcf(c_88971,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_88953,c_35515]) ).
tcf(c_88975,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_88952,c_35515]) ).
tcf(c_88979,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_88951,c_35515]) ).
tcf(c_88983,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_88948,c_35515]) ).
tcf(c_88987,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_88889,c_35515]) ).
tcf(c_88993,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_88877,c_35515]) ).
tcf(c_88998,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_88875,c_35515]) ).
tcf(c_89002,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_88874,c_35515]) ).
tcf(c_89009,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_88909,c_34527]) ).
tcf(c_89014,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_88904,c_34527]) ).
tcf(c_89018,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_88903,c_34527]) ).
tcf(c_89022,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_88902,c_34527]) ).
tcf(c_89026,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_88901,c_34527]) ).
tcf(c_89030,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_88883,c_34527]) ).
tcf(c_89184,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_88667,c_5997]) ).
tcf(c_89185,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88667,c_5996]) ).
tcf(c_89199,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88667,c_66117]) ).
tcf(c_89200,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88667,c_64314]) ).
tcf(c_89202,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88667,c_64271]) ).
tcf(c_89203,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88667,c_60865]) ).
tcf(c_89206,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88667,c_60824]) ).
tcf(c_89210,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88667,c_56951]) ).
tcf(c_89211,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88667,c_56913]) ).
tcf(c_89212,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88667,c_44213]) ).
tcf(c_89221,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88667,c_23565]) ).
tcf(c_89222,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_88667,c_23562]) ).
tcf(c_89223,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88667,c_3816]) ).
tcf(c_89225,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_88667,c_2925]) ).
tcf(c_89227,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88667,c_1705]) ).
tcf(c_89228,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88667,c_1357]) ).
tcf(c_89229,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88667,c_1327]) ).
tcf(c_89230,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88667,c_1303]) ).
tcf(c_89231,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88667,c_1279]) ).
tcf(c_89232,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88667,c_1201]) ).
tcf(c_89234,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88667,c_2948]) ).
tcf(c_89235,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_88667,c_1102]) ).
tcf(c_89236,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88667,c_579]) ).
tcf(c_89237,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88667,c_580]) ).
tcf(c_89274,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_25 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_89227,c_34527]) ).
tcf(c_89421,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_88905,c_86535]) ).
tcf(c_89422,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88905,c_48960]) ).
tcf(c_89425,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88905,c_80317]) ).
tcf(c_89428,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_88905,c_54058]) ).
tcf(c_89429,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_88905,c_38079]) ).
tcf(c_89430,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88905,c_38028]) ).
tcf(c_89431,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_88905,c_38018]) ).
tcf(c_89442,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_88905,c_5123]) ).
tcf(c_89444,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_7259]) ).
tcf(c_89445,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_7255]) ).
tcf(c_89446,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_7184]) ).
tcf(c_89447,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_7180]) ).
tcf(c_89448,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_6853]) ).
tcf(c_89449,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_6849]) ).
tcf(c_89450,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_6429]) ).
tcf(c_89451,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_6425]) ).
tcf(c_89452,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_1139]) ).
tcf(c_89455,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_1082]) ).
tcf(c_89457,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88905,c_1080]) ).
tcf(c_89459,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_88905,c_5120]) ).
tcf(c_89467,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,sk_c2) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_89430,c_35515]) ).
tcf(c_89471,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_89457,c_34527]) ).
tcf(c_89475,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_89455,c_34527]) ).
tcf(c_89479,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_89452,c_34527]) ).
tcf(c_89512,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_89429,c_35515]) ).
tcf(c_89697,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_83668,c_83741]) ).
tcf(c_89723,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_13) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_89697,c_80108]) ).
tcf(c_89724,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_89697,c_80103]) ).
tcf(c_89725,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_89697,c_80099]) ).
tcf(c_89726,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_89697,c_78515]) ).
tcf(c_89738,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_74728]) ).
tcf(c_89739,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_89697,c_75732]) ).
tcf(c_89741,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_66710]) ).
tcf(c_89742,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_66485]) ).
tcf(c_89749,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_44747]) ).
tcf(c_89754,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_24760]) ).
tcf(c_89755,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_24515]) ).
tcf(c_89756,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_24472]) ).
tcf(c_89757,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_24428]) ).
tcf(c_89758,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_24368]) ).
tcf(c_89762,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_89697,c_2925]) ).
tcf(c_89763,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_89697,c_2923]) ).
tcf(c_89764,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_89697,c_2921]) ).
tcf(c_89928,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c9) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6076]) ).
tcf(c_89929,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),sk_c8)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_75732,c_6076]) ).
tcf(c_89930,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_75823,c_6076]) ).
tcf(c_89934,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_75822,c_6076]) ).
tcf(c_89964,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(iPr_def_16,multiply(multiply(sk_c9,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6076,c_14924]) ).
tcf(c_89965,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_18,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_6076,c_14868]) ).
tcf(c_89966,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6076,c_100]) ).
tcf(c_89967,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(sk_c9,X1) ) ),
inference(superposition,[status(thm)],[c_6076,c_14924]) ).
tcf(c_89968,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c9)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6076,c_14924]) ).
tcf(c_89970,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_6076,c_49312]) ).
tcf(c_89975,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_6076,c_49050]) ).
tcf(c_89989,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_16,identity) ) ),
inference(light_normalisation,[status(thm)],[c_89929,c_75830]) ).
tcf(c_90009,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77463,c_89236]) ).
tcf(c_90011,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64470,c_89236]) ).
tcf(c_90013,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60967,c_89236]) ).
tcf(c_90017,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39651,c_89236]) ).
tcf(c_90018,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39649,c_89236]) ).
tcf(c_90019,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39648,c_89236]) ).
tcf(c_90040,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1901,c_89236]) ).
tcf(c_90053,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_629,c_89236]) ).
tcf(c_90054,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_628,c_89236]) ).
tcf(c_90055,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_627,c_89236]) ).
tcf(c_90056,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_625,c_89236]) ).
tcf(c_90057,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_89236]) ).
tcf(c_90058,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_89236]) ).
tcf(c_90059,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_89236]) ).
tcf(c_90060,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_89236]) ).
tcf(c_90065,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_89236]) ).
tcf(c_90070,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_89236]) ).
tcf(c_90071,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_89236]) ).
tcf(c_90091,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c10,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_89236,c_14924]) ).
tcf(c_90092,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_89236,c_14868]) ).
tcf(c_90094,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_89236,c_14924]) ).
tcf(c_90095,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = multiply(iPr_def_23,sk_c9) ) ),
inference(superposition,[status(thm)],[c_89236,c_2927]) ).
tcf(c_90150,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_90071,c_34527]) ).
tcf(c_90155,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_90070,c_34527]) ).
tcf(c_90306,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_87579]) ).
tcf(c_90307,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_86680]) ).
tcf(c_90316,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_66117]) ).
tcf(c_90317,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_64314]) ).
tcf(c_90320,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_60865]) ).
tcf(c_90324,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_89211,c_12073]) ).
tcf(c_90325,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_89211,c_61092]) ).
tcf(c_90329,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_56951]) ).
tcf(c_90335,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89211,c_48478]) ).
tcf(c_90344,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89211,c_36123]) ).
tcf(c_90345,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_89211,c_36122]) ).
tcf(c_90350,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89211,c_26788]) ).
tcf(c_90351,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89211,c_26546]) ).
tcf(c_90352,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89211,c_26422]) ).
tcf(c_90353,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89211,c_25284]) ).
tcf(c_90355,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89211,c_24883]) ).
tcf(c_90361,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_89211,c_2927]) ).
tcf(c_90362,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_89211,c_2926]) ).
tcf(c_90374,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89211,c_1139]) ).
tcf(c_90379,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89211,c_1082]) ).
tcf(c_90381,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89211,c_1080]) ).
tcf(c_90383,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_89211,c_2947]) ).
tcf(c_90400,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_89211,c_582]) ).
tcf(c_90412,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89211,c_593]) ).
tcf(c_90414,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89211,c_592]) ).
tcf(c_90415,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89211,c_591]) ).
tcf(c_90416,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89211,c_589]) ).
tcf(c_90682,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88905,c_48990]) ).
tcf(c_90683,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67817,c_48990]) ).
tcf(c_90684,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34351,c_48990]) ).
tcf(c_90686,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30942,c_48990]) ).
tcf(c_90687,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30693,c_48990]) ).
tcf(c_90688,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_29411,c_48990]) ).
tcf(c_90689,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28896,c_48990]) ).
tcf(c_90690,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28667,c_48990]) ).
tcf(c_90692,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_48990,c_14868]) ).
tcf(c_90693,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_48990,c_99]) ).
tcf(c_90694,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_48990,c_584]) ).
tcf(c_90695,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_48990,c_34349]) ).
tcf(c_90698,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_48990,c_38079]) ).
tcf(c_90699,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_48990,c_38028]) ).
tcf(c_90700,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_90688,c_53942]) ).
tcf(c_90713,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_90689,c_53942]) ).
tcf(c_90717,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_90687,c_53942]) ).
tcf(c_90721,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_90686,c_53942]) ).
tcf(c_90725,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_90684,c_53942]) ).
tcf(c_90801,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_90700,c_66049]) ).
tcf(c_90802,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_64852]) ).
tcf(c_90803,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_63672]) ).
tcf(c_90804,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_90700,c_64248]) ).
tcf(c_90805,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_62965]) ).
tcf(c_90806,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_90700,c_63377]) ).
tcf(c_90808,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_90700,c_60801]) ).
tcf(c_90809,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_58624]) ).
tcf(c_90811,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_90700,c_58280]) ).
tcf(c_90814,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_90700,c_53951]) ).
tcf(c_90815,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_90700,c_53950]) ).
tcf(c_90816,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_90700,c_53949]) ).
tcf(c_90817,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_90700,c_53948]) ).
tcf(c_90819,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_90700,c_53946]) ).
tcf(c_90825,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_44070]) ).
tcf(c_90826,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_43804]) ).
tcf(c_90827,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_90700,c_38079]) ).
tcf(c_90829,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_90700,c_38028]) ).
tcf(c_90837,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_4424]) ).
tcf(c_90840,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_3989]) ).
tcf(c_90842,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_90700,c_12170]) ).
tcf(c_90843,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_90700,c_2927]) ).
tcf(c_90844,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_2104]) ).
tcf(c_90845,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_2029]) ).
tcf(c_90846,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_1959]) ).
tcf(c_90847,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_1845]) ).
tcf(c_90848,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_1647]) ).
tcf(c_90849,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_1598]) ).
tcf(c_90850,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_1556]) ).
tcf(c_90851,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_1487]) ).
tcf(c_90856,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_90700,c_2942]) ).
tcf(c_90857,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_90700,c_1108]) ).
tcf(c_90858,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90700,c_577]) ).
tcf(c_91050,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_90811,c_5997]) ).
tcf(c_91051,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_90811,c_5996]) ).
tcf(c_91065,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90811,c_66117]) ).
tcf(c_91066,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90811,c_64314]) ).
tcf(c_91067,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90811,c_63442]) ).
tcf(c_91069,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90811,c_60865]) ).
tcf(c_91078,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_90811,c_44213]) ).
tcf(c_91087,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_90811,c_23565]) ).
tcf(c_91088,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_90811,c_23562]) ).
tcf(c_91089,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_90811,c_3816]) ).
tcf(c_91091,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_90811,c_2925]) ).
tcf(c_91093,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_90811,c_1705]) ).
tcf(c_91094,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_90811,c_1357]) ).
tcf(c_91095,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_90811,c_1327]) ).
tcf(c_91096,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_90811,c_1303]) ).
tcf(c_91097,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_90811,c_1279]) ).
tcf(c_91098,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_90811,c_1201]) ).
tcf(c_91100,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_90811,c_2948]) ).
tcf(c_91101,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_90811,c_1102]) ).
tcf(c_91102,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_90811,c_579]) ).
tcf(c_91103,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_90811,c_580]) ).
tcf(c_91104,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_91103,c_53942]) ).
tcf(c_91235,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_18,sk_c10) ) ),
inference(superposition,[status(thm)],[c_1103,c_6113]) ).
tcf(c_91237,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_18,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1109,c_6113]) ).
tcf(c_91239,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_18,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_1110,c_6113]) ).
tcf(c_91241,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1111,c_6113]) ).
tcf(c_91243,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_1112,c_6113]) ).
tcf(c_91263,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_21) = multiply(iPr_def_18,sk_c9) ) ),
inference(superposition,[status(thm)],[c_39440,c_6113]) ).
tcf(c_91278,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_2947,c_6113]) ).
tcf(c_91279,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,sk_c3) = multiply(iPr_def_18,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_5374,c_6113]) ).
tcf(c_91281,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_5399,c_6113]) ).
tcf(c_91283,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_5400,c_6113]) ).
tcf(c_91285,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_5401,c_6113]) ).
tcf(c_91293,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_5402,c_6113]) ).
tcf(c_91300,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(sk_c3,X0)) = multiply(iPr_def_18,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_5564,c_6113]) ).
tcf(c_91301,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_13) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6113]) ).
tcf(c_91311,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(sk_c8,multiply(multiply(iPr_def_13,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6113,c_14924]) ).
tcf(c_91312,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_6113,c_14868]) ).
tcf(c_91313,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(multiply(iPr_def_13,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6113,c_100]) ).
tcf(c_91314,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(iPr_def_13,X1) ) ),
inference(superposition,[status(thm)],[c_6113,c_14924]) ).
tcf(c_91315,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,iPr_def_13)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6113,c_14924]) ).
tcf(c_91316,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_14,multiply(iPr_def_13,X0)) ) ),
inference(superposition,[status(thm)],[c_6113,c_2924]) ).
tcf(c_91317,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,multiply(iPr_def_13,X0)) ) ),
inference(superposition,[status(thm)],[c_6113,c_2922]) ).
tcf(c_91344,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_91312,c_15090]) ).
tcf(c_91347,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_20,multiply(iPr_def_13,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_91317,c_10893]) ).
tcf(c_91350,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c9,X0)) = multiply(iPr_def_14,multiply(iPr_def_13,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_91316,c_11425]) ).
tcf(c_91406,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_34351,c_90693]) ).
tcf(c_91408,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_30942,c_90693]) ).
tcf(c_91409,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_30693,c_90693]) ).
tcf(c_91411,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_28896,c_90693]) ).
tcf(c_91414,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_90693,c_14924]) ).
tcf(c_91415,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90693,c_14868]) ).
tcf(c_91416,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_90693,c_100]) ).
tcf(c_91417,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90693,c_14924]) ).
tcf(c_91420,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_90693,c_5123]) ).
tcf(c_91421,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_91415,c_53923]) ).
tcf(c_91439,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),X0) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_91417,c_15955]) ).
tcf(c_91442,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_91414,c_15984]) ).
tcf(c_91452,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78891,c_90858]) ).
tcf(c_91461,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_90858]) ).
tcf(c_91490,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_985,c_90858]) ).
tcf(c_91492,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_90858]) ).
tcf(c_91493,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_90858]) ).
tcf(c_91494,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_90858]) ).
tcf(c_91495,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_90858]) ).
tcf(c_91509,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_90858,c_14924]) ).
tcf(c_91510,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_90858,c_14868]) ).
tcf(c_91512,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_90858,c_14924]) ).
tcf(c_91513,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(iPr_def_15) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_90858,c_582]) ).
tcf(c_91514,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_90858,c_53869]) ).
tcf(c_91540,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != sk_c2 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_91513,c_53942]) ).
tcf(c_91570,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_91102]) ).
tcf(c_91571,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_91102]) ).
tcf(c_91572,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_91102]) ).
tcf(c_91592,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_91102,c_14924]) ).
tcf(c_91593,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_91102,c_14868]) ).
tcf(c_91595,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_91102,c_14924]) ).
tcf(c_91596,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_91102,c_53869]) ).
tcf(c_91621,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86642,c_90819]) ).
tcf(c_91624,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_90819,c_39109]) ).
tcf(c_91625,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_20) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_90819,c_39242]) ).
tcf(c_91626,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_90819,c_39106]) ).
tcf(c_91629,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_90819,c_5375]) ).
tcf(c_91630,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90819,c_25507]) ).
tcf(c_91631,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_90819,c_25506]) ).
tcf(c_91633,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_90819,c_5372]) ).
tcf(c_91634,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90819,c_5001]) ).
tcf(c_91635,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_90819,c_5000]) ).
tcf(c_91636,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_90819,c_4999]) ).
tcf(c_91640,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_90819,c_5364]) ).
tcf(c_91641,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c4,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_90819,c_2946]) ).
tcf(c_91642,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c4) = identity ) ),
inference(superposition,[status(thm)],[c_90819,c_1104]) ).
tcf(c_91739,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91104,c_66049]) ).
tcf(c_91740,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_64852]) ).
tcf(c_91741,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_63672]) ).
tcf(c_91742,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91104,c_64248]) ).
tcf(c_91743,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_62965]) ).
tcf(c_91744,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91104,c_63377]) ).
tcf(c_91746,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91104,c_60801]) ).
tcf(c_91747,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_58624]) ).
tcf(c_91749,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91104,c_58280]) ).
tcf(c_91753,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91104,c_53951]) ).
tcf(c_91754,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91104,c_53950]) ).
tcf(c_91755,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91104,c_53949]) ).
tcf(c_91756,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91104,c_53948]) ).
tcf(c_91758,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91104,c_53946]) ).
tcf(c_91764,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_44070]) ).
tcf(c_91765,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_43804]) ).
tcf(c_91766,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_91104,c_38079]) ).
tcf(c_91768,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_91104,c_38028]) ).
tcf(c_91776,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_4424]) ).
tcf(c_91779,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_3989]) ).
tcf(c_91780,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_3910]) ).
tcf(c_91781,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_91104,c_12170]) ).
tcf(c_91782,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_91104,c_2927]) ).
tcf(c_91783,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_2104]) ).
tcf(c_91784,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_2029]) ).
tcf(c_91785,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_1959]) ).
tcf(c_91786,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_1845]) ).
tcf(c_91787,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_1647]) ).
tcf(c_91788,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_1598]) ).
tcf(c_91789,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_1556]) ).
tcf(c_91790,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_1487]) ).
tcf(c_91797,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91104,c_577]) ).
tcf(c_91798,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_91104,c_569]) ).
tcf(c_91836,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_91790,c_5612]) ).
tcf(c_91840,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_91789,c_5612]) ).
tcf(c_91844,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_91788,c_5612]) ).
tcf(c_91848,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_91787,c_5612]) ).
tcf(c_91867,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_91779,c_5612]) ).
tcf(c_91877,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_91764,c_5612]) ).
tcf(c_92029,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_91621,c_86149]) ).
tcf(c_92030,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_91621,c_48861]) ).
tcf(c_92031,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_91621,c_85872]) ).
tcf(c_92032,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_91621,c_85838]) ).
tcf(c_92033,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_91621,c_83996]) ).
tcf(c_92034,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_91621,c_45345]) ).
tcf(c_92035,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_91621,c_44884]) ).
tcf(c_92036,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_91621,c_44836]) ).
tcf(c_92038,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_91621,c_48864]) ).
tcf(c_92039,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_91621,c_45348]) ).
tcf(c_92040,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_91621,c_44887]) ).
tcf(c_92041,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_91621,c_44839]) ).
tcf(c_92049,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_91621,c_27329]) ).
tcf(c_92050,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_91621,c_5362]) ).
tcf(c_92054,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_91621,c_4532]) ).
tcf(c_92058,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_18) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_91621,c_5211]) ).
tcf(c_92282,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_91749,c_5997]) ).
tcf(c_92283,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91749,c_5996]) ).
tcf(c_92290,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91749,c_76111]) ).
tcf(c_92297,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91749,c_66117]) ).
tcf(c_92298,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91749,c_64314]) ).
tcf(c_92299,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91749,c_63442]) ).
tcf(c_92301,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91749,c_60865]) ).
tcf(c_92310,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91749,c_44213]) ).
tcf(c_92321,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91749,c_3816]) ).
tcf(c_92323,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_91749,c_2925]) ).
tcf(c_92325,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91749,c_1705]) ).
tcf(c_92326,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91749,c_1357]) ).
tcf(c_92327,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91749,c_1327]) ).
tcf(c_92328,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91749,c_1303]) ).
tcf(c_92329,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91749,c_1279]) ).
tcf(c_92330,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91749,c_1201]) ).
tcf(c_92332,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91749,c_2948]) ).
tcf(c_92333,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_91749,c_1102]) ).
tcf(c_92334,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91749,c_579]) ).
tcf(c_92335,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_91749,c_580]) ).
tcf(c_92475,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_6121,c_39638]) ).
tcf(c_92493,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_91621,c_92475]) ).
tcf(c_92494,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_92475,c_14924]) ).
tcf(c_92495,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_92475,c_14868]) ).
tcf(c_92496,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_92475,c_100]) ).
tcf(c_92497,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_92475,c_14924]) ).
tcf(c_92498,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_92475,c_14924]) ).
tcf(c_92499,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_92475,c_584]) ).
tcf(c_92500,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(iPr_def_20) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_92475,c_582]) ).
tcf(c_92503,plain,
( ( sk_c3 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_92475,c_1077]) ).
tcf(c_92504,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c8)),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_92475,c_68514]) ).
tcf(c_92508,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_92475,c_80108]) ).
tcf(c_92509,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_92475,c_34644]) ).
tcf(c_92511,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_92475,c_35576]) ).
tcf(c_92516,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_20,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_92475,c_68514]) ).
tcf(c_92566,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_91797]) ).
tcf(c_92577,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4976,c_91797]) ).
tcf(c_92579,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4794,c_91797]) ).
tcf(c_92580,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4792,c_91797]) ).
tcf(c_92581,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_91797]) ).
tcf(c_92583,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4407,c_91797]) ).
tcf(c_92596,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_91797]) ).
tcf(c_92625,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_985,c_91797]) ).
tcf(c_92627,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_91797]) ).
tcf(c_92628,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_91797]) ).
tcf(c_92629,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_91797]) ).
tcf(c_92630,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_91797]) ).
tcf(c_92644,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_91797,c_14924]) ).
tcf(c_92645,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_91797,c_14868]) ).
tcf(c_92647,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_91797,c_14924]) ).
tcf(c_92648,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(iPr_def_26) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_91797,c_582]) ).
tcf(c_92650,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_91797,c_5378]) ).
tcf(c_92651,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_91797,c_5394]) ).
tcf(c_92652,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_91797,c_5393]) ).
tcf(c_92653,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_91797,c_5392]) ).
tcf(c_92654,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_91797,c_5391]) ).
tcf(c_92655,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_91797,c_23565]) ).
tcf(c_92712,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c1 != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_92648,c_23929]) ).
tcf(c_92796,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_83999,c_92334]) ).
tcf(c_92802,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18292,c_92334]) ).
tcf(c_92803,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_16741,c_92334]) ).
tcf(c_92804,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_14212,c_92334]) ).
tcf(c_92807,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4976,c_92334]) ).
tcf(c_92809,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4794,c_92334]) ).
tcf(c_92810,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4792,c_92334]) ).
tcf(c_92811,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4507,c_92334]) ).
tcf(c_92812,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4415,c_92334]) ).
tcf(c_92813,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4407,c_92334]) ).
tcf(c_92821,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_92334]) ).
tcf(c_92822,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_92334]) ).
tcf(c_92842,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_92334,c_14924]) ).
tcf(c_92843,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_92334,c_14868]) ).
tcf(c_92845,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_92334,c_14924]) ).
tcf(c_92847,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_92334,c_5378]) ).
tcf(c_92848,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_92334,c_5394]) ).
tcf(c_92849,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_92334,c_5393]) ).
tcf(c_92850,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_92334,c_5392]) ).
tcf(c_92851,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_92334,c_5391]) ).
tcf(c_92852,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_92334,c_23565]) ).
tcf(c_93041,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_91758,c_5935]) ).
tcf(c_93042,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91758,c_64852]) ).
tcf(c_93043,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_64851]) ).
tcf(c_93044,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91758,c_63672]) ).
tcf(c_93045,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_63671]) ).
tcf(c_93046,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91758,c_62965]) ).
tcf(c_93047,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_62964]) ).
tcf(c_93050,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91758,c_58624]) ).
tcf(c_93051,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_58623]) ).
tcf(c_93054,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91758,c_43804]) ).
tcf(c_93055,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_43803]) ).
tcf(c_93057,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91758,c_5378]) ).
tcf(c_93058,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_38237]) ).
tcf(c_93059,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_37963]) ).
tcf(c_93060,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_37836]) ).
tcf(c_93061,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_37425]) ).
tcf(c_93062,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91758,c_5394]) ).
tcf(c_93063,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91758,c_5393]) ).
tcf(c_93064,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91758,c_5392]) ).
tcf(c_93065,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91758,c_5391]) ).
tcf(c_93066,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91758,c_23565]) ).
tcf(c_93067,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_91758,c_23929]) ).
tcf(c_93068,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_91758,c_23562]) ).
tcf(c_93076,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_91758,c_5615]) ).
tcf(c_93077,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91758,c_4424]) ).
tcf(c_93078,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_4423]) ).
tcf(c_93079,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_91758,c_4422]) ).
tcf(c_93084,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_7255]) ).
tcf(c_93085,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_7180]) ).
tcf(c_93086,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_6849]) ).
tcf(c_93087,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_6425]) ).
tcf(c_93088,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91758,c_2104]) ).
tcf(c_93089,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_2103]) ).
tcf(c_93090,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_91758,c_2102]) ).
tcf(c_93091,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91758,c_2029]) ).
tcf(c_93092,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_2028]) ).
tcf(c_93093,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_91758,c_2027]) ).
tcf(c_93094,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91758,c_1959]) ).
tcf(c_93095,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_1958]) ).
tcf(c_93096,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_91758,c_1957]) ).
tcf(c_93097,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91758,c_1845]) ).
tcf(c_93098,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91758,c_1844]) ).
tcf(c_93099,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_91758,c_1843]) ).
tcf(c_93101,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91758,c_4976]) ).
tcf(c_93103,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91758,c_4794]) ).
tcf(c_93104,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91758,c_4792]) ).
tcf(c_93105,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91758,c_4507]) ).
tcf(c_93107,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91758,c_4407]) ).
tcf(c_93110,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_91758,c_5612]) ).
tcf(c_93111,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91758,c_2948]) ).
tcf(c_93112,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_91758,c_1102]) ).
tcf(c_93115,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_93067,c_35515]) ).
tcf(c_93477,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_92503,c_2926]) ).
tcf(c_93496,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92503,c_1078]) ).
tcf(c_93497,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92503,c_1077]) ).
tcf(c_93498,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92503,c_1076]) ).
tcf(c_93499,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92503,c_1075]) ).
tcf(c_93504,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92503,c_578]) ).
tcf(c_93575,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_91797]) ).
tcf(c_93576,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_90858]) ).
tcf(c_93578,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_92509,c_89236]) ).
tcf(c_93579,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_87579]) ).
tcf(c_93580,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_86680]) ).
tcf(c_93590,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_66117]) ).
tcf(c_93591,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_64314]) ).
tcf(c_93592,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_63442]) ).
tcf(c_93594,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_60865]) ).
tcf(c_93597,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_59007]) ).
tcf(c_93598,plain,
( ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_92509,c_12073]) ).
tcf(c_93599,plain,
( ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_92509,c_61092]) ).
tcf(c_93601,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_58343]) ).
tcf(c_93603,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_56951]) ).
tcf(c_93607,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_52660]) ).
tcf(c_93608,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_50278]) ).
tcf(c_93609,plain,
( ( identity = iPr_def_20 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_48478]) ).
tcf(c_93613,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_36127]) ).
tcf(c_93614,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_36126]) ).
tcf(c_93615,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_36125]) ).
tcf(c_93616,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_36124]) ).
tcf(c_93617,plain,
( ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_36123]) ).
tcf(c_93618,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_92509,c_36122]) ).
tcf(c_93619,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_92509,c_36121]) ).
tcf(c_93621,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_92509,c_34530]) ).
tcf(c_93622,plain,
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_92509,c_34527]) ).
tcf(c_93623,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_26788]) ).
tcf(c_93624,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_26546]) ).
tcf(c_93625,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_26422]) ).
tcf(c_93626,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_25284]) ).
tcf(c_93628,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_24883]) ).
tcf(c_93629,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_92509,c_26791]) ).
tcf(c_93630,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_92509,c_26547]) ).
tcf(c_93631,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_92509,c_26421]) ).
tcf(c_93632,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_92509,c_25282]) ).
tcf(c_93634,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_92509,c_2927]) ).
tcf(c_93635,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_92509,c_2926]) ).
tcf(c_93647,plain,
( ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_1139]) ).
tcf(c_93650,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_1132]) ).
tcf(c_93651,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_1125]) ).
tcf(c_93652,plain,
( ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_1082]) ).
tcf(c_93653,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_1081]) ).
tcf(c_93654,plain,
( ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_1080]) ).
tcf(c_93655,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_1079]) ).
tcf(c_93656,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_92509,c_2947]) ).
tcf(c_93657,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_92509,c_2098]) ).
tcf(c_93658,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_92509,c_2024]) ).
tcf(c_93659,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_92509,c_1955]) ).
tcf(c_93661,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_92509,c_1842]) ).
tcf(c_93665,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_92509,c_582]) ).
tcf(c_93666,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_92509,c_629]) ).
tcf(c_93667,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_92509,c_628]) ).
tcf(c_93668,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_92509,c_627]) ).
tcf(c_93669,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_92509,c_625]) ).
tcf(c_93670,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_92509,c_620]) ).
tcf(c_93671,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_92509,c_619]) ).
tcf(c_93672,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_92509,c_618]) ).
tcf(c_93673,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_92509,c_616]) ).
tcf(c_93674,plain,
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_92509,c_1103]) ).
tcf(c_93675,plain,
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_92509,c_578]) ).
tcf(c_93676,plain,
( ( identity = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_577]) ).
tcf(c_93678,plain,
( ( identity = iPr_def_13 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_92509,c_567]) ).
tcf(c_93682,plain,
( ( identity = iPr_def_13 )
| ( sk_c2 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_93678,c_53942]) ).
tcf(c_93685,plain,
( ( identity = iPr_def_23 )
| ( identity = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_93676,c_53866]) ).
tcf(c_93730,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_93656,c_54518]) ).
tcf(c_93747,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_93655,c_5120]) ).
tcf(c_93751,plain,
( ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_93654,c_5120]) ).
tcf(c_93755,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_93653,c_5120]) ).
tcf(c_93759,plain,
( ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_93652,c_5120]) ).
tcf(c_93763,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_93651,c_5120]) ).
tcf(c_93767,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_93650,c_5120]) ).
tcf(c_93771,plain,
( ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_93647,c_5120]) ).
tcf(c_93777,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_93634,c_53869]) ).
tcf(c_93907,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_93101,c_5997]) ).
tcf(c_93909,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93101,c_5996]) ).
tcf(c_93910,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_93101,c_5995]) ).
tcf(c_93916,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_93101,c_76389]) ).
tcf(c_93922,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_93101,c_23963]) ).
tcf(c_93923,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_93101,c_23961]) ).
tcf(c_93924,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_93101,c_23960]) ).
tcf(c_93925,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_93101,c_23959]) ).
tcf(c_93926,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_93101,c_23958]) ).
tcf(c_93931,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93101,c_48478]) ).
tcf(c_93937,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93101,c_44072]) ).
tcf(c_93949,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93101,c_26788]) ).
tcf(c_93950,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93101,c_26546]) ).
tcf(c_93951,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93101,c_26422]) ).
tcf(c_93952,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93101,c_25284]) ).
tcf(c_93954,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93101,c_27657]) ).
tcf(c_93955,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93101,c_27656]) ).
tcf(c_93956,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93101,c_25055]) ).
tcf(c_93957,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93101,c_24883]) ).
tcf(c_93962,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93101,c_27277]) ).
tcf(c_93963,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93101,c_27276]) ).
tcf(c_93972,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_93101,c_5615]) ).
tcf(c_93996,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93101,c_3991]) ).
tcf(c_93999,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93101,c_1649]) ).
tcf(c_94000,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93101,c_1600]) ).
tcf(c_94001,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93101,c_1558]) ).
tcf(c_94002,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93101,c_1489]) ).
tcf(c_94004,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_93101,c_5612]) ).
tcf(c_94018,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_94002,c_35515]) ).
tcf(c_94022,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_94001,c_35515]) ).
tcf(c_94026,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_94000,c_35515]) ).
tcf(c_94030,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_93999,c_35515]) ).
tcf(c_94034,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_93996,c_35515]) ).
tcf(c_94038,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_93937,c_35515]) ).
tcf(c_94043,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_93925,c_35515]) ).
tcf(c_94047,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_93924,c_35515]) ).
tcf(c_94051,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_93923,c_35515]) ).
tcf(c_94055,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_93922,c_35515]) ).
tcf(c_94062,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_93957,c_34527]) ).
tcf(c_94067,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_93952,c_34527]) ).
tcf(c_94071,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_93951,c_34527]) ).
tcf(c_94075,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_93950,c_34527]) ).
tcf(c_94079,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_93949,c_34527]) ).
tcf(c_94083,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_93931,c_34527]) ).
tcf(c_94097,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_93666,c_637,c_593,c_2350,c_10132,c_10851,c_22933,c_45976]) ).
tcf(c_94158,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_94097,c_92509]) ).
tcf(c_94182,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94097,c_12073]) ).
tcf(c_94183,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_22,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94097,c_61092]) ).
tcf(c_94191,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_52660]) ).
tcf(c_94192,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_50278]) ).
tcf(c_94194,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94097,c_39651]) ).
tcf(c_94198,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_36127]) ).
tcf(c_94199,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_36126]) ).
tcf(c_94200,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_36125]) ).
tcf(c_94202,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_36123]) ).
tcf(c_94203,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_94097,c_36122]) ).
tcf(c_94204,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_94097,c_36121]) ).
tcf(c_94206,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94097,c_34530]) ).
tcf(c_94207,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_94097,c_34527]) ).
tcf(c_94208,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_26788]) ).
tcf(c_94209,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_26546]) ).
tcf(c_94210,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_26422]) ).
tcf(c_94218,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_94097,c_2927]) ).
tcf(c_94219,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_94097,c_2926]) ).
tcf(c_94231,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_1139]) ).
tcf(c_94234,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_1125]) ).
tcf(c_94235,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_1082]) ).
tcf(c_94236,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_1081]) ).
tcf(c_94237,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_1080]) ).
tcf(c_94238,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_1079]) ).
tcf(c_94239,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94097,c_2947]) ).
tcf(c_94254,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_94097,c_919]) ).
tcf(c_94255,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94097,c_582]) ).
tcf(c_94257,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94097,c_628]) ).
tcf(c_94258,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94097,c_627]) ).
tcf(c_94259,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_94097,c_625]) ).
tcf(c_94261,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94097,c_619]) ).
tcf(c_94262,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94097,c_618]) ).
tcf(c_94263,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_94097,c_616]) ).
tcf(c_94264,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_94097,c_1103]) ).
tcf(c_94265,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94097,c_578]) ).
tcf(c_94266,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_94097,c_577]) ).
tcf(c_94267,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_94097,c_567]) ).
tcf(c_94271,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c4 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_94267,c_39242]) ).
tcf(c_94394,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_93667,c_569,c_580,c_1921,c_1922,c_2153,c_2154,c_2607,c_4331,c_6309,c_9854,c_22931,c_23668,c_23669]) ).
tcf(c_94457,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_94394,c_92509]) ).
tcf(c_94481,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94394,c_12073]) ).
tcf(c_94482,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_21,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94394,c_61092]) ).
tcf(c_94490,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_52660]) ).
tcf(c_94491,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_50278]) ).
tcf(c_94493,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94394,c_39651]) ).
tcf(c_94497,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_21 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_36127]) ).
tcf(c_94498,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_21 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_36126]) ).
tcf(c_94501,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_21 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_36123]) ).
tcf(c_94502,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94394,c_36122]) ).
tcf(c_94503,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94394,c_36121]) ).
tcf(c_94505,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94394,c_34530]) ).
tcf(c_94506,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_94394,c_34527]) ).
tcf(c_94507,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_26788]) ).
tcf(c_94508,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_26546]) ).
tcf(c_94517,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_94394,c_2927]) ).
tcf(c_94518,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_94394,c_2926]) ).
tcf(c_94530,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_1139]) ).
tcf(c_94534,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_1082]) ).
tcf(c_94535,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_1081]) ).
tcf(c_94536,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_1080]) ).
tcf(c_94537,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_1079]) ).
tcf(c_94538,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94394,c_2947]) ).
tcf(c_94553,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_94394,c_919]) ).
tcf(c_94554,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94394,c_582]) ).
tcf(c_94557,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94394,c_627]) ).
tcf(c_94558,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_94394,c_625]) ).
tcf(c_94561,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94394,c_618]) ).
tcf(c_94562,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_94394,c_616]) ).
tcf(c_94563,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_94394,c_1103]) ).
tcf(c_94564,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94394,c_578]) ).
tcf(c_94565,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_94394,c_577]) ).
tcf(c_94567,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_94394,c_567]) ).
tcf(c_94673,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_93668,c_569,c_580,c_1921,c_1922,c_2153,c_2154,c_2607,c_4331,c_6321,c_9783,c_22931,c_23668,c_23669]) ).
tcf(c_94738,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_94673,c_92509]) ).
tcf(c_94762,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94673,c_12073]) ).
tcf(c_94763,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_20,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94673,c_61092]) ).
tcf(c_94764,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_94673,c_60379]) ).
tcf(c_94771,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94673,c_52660]) ).
tcf(c_94772,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94673,c_50278]) ).
tcf(c_94774,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94673,c_39651]) ).
tcf(c_94778,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_20 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94673,c_36127]) ).
tcf(c_94782,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_20 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94673,c_36123]) ).
tcf(c_94783,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94673,c_36122]) ).
tcf(c_94784,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94673,c_36121]) ).
tcf(c_94786,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94673,c_34530]) ).
tcf(c_94787,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_94673,c_34527]) ).
tcf(c_94788,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94673,c_26788]) ).
tcf(c_94798,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_94673,c_2927]) ).
tcf(c_94799,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_94673,c_2926]) ).
tcf(c_94810,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94673,c_1139]) ).
tcf(c_94815,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94673,c_1082]) ).
tcf(c_94816,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94673,c_1081]) ).
tcf(c_94817,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94673,c_1080]) ).
tcf(c_94819,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94673,c_2947]) ).
tcf(c_94835,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94673,c_582]) ).
tcf(c_94839,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_94673,c_625]) ).
tcf(c_94843,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_94673,c_616]) ).
tcf(c_94844,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_94673,c_1103]) ).
tcf(c_94845,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94673,c_578]) ).
tcf(c_94846,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_94673,c_577]) ).
tcf(c_94848,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_94673,c_567]) ).
tcf(c_94938,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_93669,c_569,c_580,c_1921,c_1922,c_2153,c_2154,c_2607,c_4331,c_6333,c_9636,c_22931,c_23668,c_23669]) ).
tcf(c_95005,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_94938,c_92509]) ).
tcf(c_95026,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_94938,c_63522]) ).
tcf(c_95029,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94938,c_12073]) ).
tcf(c_95030,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_18,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94938,c_61092]) ).
tcf(c_95031,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_94938,c_60379]) ).
tcf(c_95033,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_94938,c_58425]) ).
tcf(c_95038,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94938,c_52660]) ).
tcf(c_95039,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94938,c_50278]) ).
tcf(c_95041,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94938,c_39651]) ).
tcf(c_95049,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_18 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94938,c_36123]) ).
tcf(c_95050,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_94938,c_36122]) ).
tcf(c_95051,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_94938,c_36121]) ).
tcf(c_95053,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94938,c_34530]) ).
tcf(c_95054,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_94938,c_34527]) ).
tcf(c_95065,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_94938,c_2927]) ).
tcf(c_95066,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_94938,c_2926]) ).
tcf(c_95077,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94938,c_1139]) ).
tcf(c_95082,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94938,c_1082]) ).
tcf(c_95084,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94938,c_1080]) ).
tcf(c_95086,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_94938,c_2947]) ).
tcf(c_95101,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_94938,c_919]) ).
tcf(c_95102,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_18,multiply(X0,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94938,c_582]) ).
tcf(c_95111,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_94938,c_1103]) ).
tcf(c_95112,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94938,c_578]) ).
tcf(c_95113,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_94938,c_577]) ).
tcf(c_95115,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_94938,c_567]) ).
tcf(c_95265,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93670,c_92509]) ).
tcf(c_95289,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93670,c_12073]) ).
tcf(c_95290,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_22,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93670,c_61092]) ).
tcf(c_95298,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93670,c_52660]) ).
tcf(c_95299,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93670,c_50278]) ).
tcf(c_95301,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93670,c_39651]) ).
tcf(c_95309,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93670,c_36123]) ).
tcf(c_95310,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_93670,c_36122]) ).
tcf(c_95311,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_93670,c_36121]) ).
tcf(c_95313,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_22,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93670,c_34530]) ).
tcf(c_95314,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_93670,c_34527]) ).
tcf(c_95325,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c2,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_93670,c_2927]) ).
tcf(c_95326,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_93670,c_2926]) ).
tcf(c_95338,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93670,c_1139]) ).
tcf(c_95342,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93670,c_1082]) ).
tcf(c_95344,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93670,c_1080]) ).
tcf(c_95346,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93670,c_2947]) ).
tcf(c_95362,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93670,c_582]) ).
tcf(c_95371,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_93670,c_1103]) ).
tcf(c_95372,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93670,c_578]) ).
tcf(c_95373,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93670,c_577]) ).
tcf(c_95374,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( inverse(iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93670,c_567]) ).
tcf(c_95381,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c4 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_95374,c_39242]) ).
tcf(c_95537,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93671,c_92509]) ).
tcf(c_95561,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93671,c_12073]) ).
tcf(c_95562,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_21,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93671,c_61092]) ).
tcf(c_95570,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93671,c_52660]) ).
tcf(c_95571,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93671,c_50278]) ).
tcf(c_95573,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93671,c_39651]) ).
tcf(c_95581,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_21 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93671,c_36123]) ).
tcf(c_95582,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_93671,c_36122]) ).
tcf(c_95583,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_93671,c_36121]) ).
tcf(c_95585,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_21,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93671,c_34530]) ).
tcf(c_95586,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_93671,c_34527]) ).
tcf(c_95597,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_93671,c_2927]) ).
tcf(c_95598,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_93671,c_2926]) ).
tcf(c_95610,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93671,c_1139]) ).
tcf(c_95614,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93671,c_1082]) ).
tcf(c_95616,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93671,c_1080]) ).
tcf(c_95618,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93671,c_2947]) ).
tcf(c_95634,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_21,multiply(X0,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93671,c_582]) ).
tcf(c_95643,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_93671,c_1103]) ).
tcf(c_95644,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93671,c_578]) ).
tcf(c_95645,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93671,c_577]) ).
tcf(c_95647,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( inverse(iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93671,c_567]) ).
tcf(c_95849,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93672,c_92509]) ).
tcf(c_95873,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93672,c_12073]) ).
tcf(c_95874,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_20,iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93672,c_61092]) ).
tcf(c_95875,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93672,c_60379]) ).
tcf(c_95882,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93672,c_52660]) ).
tcf(c_95883,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93672,c_50278]) ).
tcf(c_95885,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93672,c_39651]) ).
tcf(c_95893,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_20 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93672,c_36123]) ).
tcf(c_95894,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_93672,c_36122]) ).
tcf(c_95895,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_93672,c_36121]) ).
tcf(c_95897,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_20,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93672,c_34530]) ).
tcf(c_95898,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_93672,c_34527]) ).
tcf(c_95909,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_93672,c_2927]) ).
tcf(c_95910,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_93672,c_2926]) ).
tcf(c_95921,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93672,c_1139]) ).
tcf(c_95926,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93672,c_1082]) ).
tcf(c_95928,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93672,c_1080]) ).
tcf(c_95930,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93672,c_2947]) ).
tcf(c_95946,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93672,c_582]) ).
tcf(c_95955,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_93672,c_1103]) ).
tcf(c_95956,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93672,c_578]) ).
tcf(c_95957,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93672,c_577]) ).
tcf(c_95959,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93672,c_567]) ).
tcf(c_96295,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93673,c_92509]) ).
tcf(c_96316,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93673,c_63522]) ).
tcf(c_96319,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93673,c_12073]) ).
tcf(c_96320,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_18,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93673,c_61092]) ).
tcf(c_96321,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93673,c_60379]) ).
tcf(c_96323,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93673,c_58425]) ).
tcf(c_96328,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93673,c_52660]) ).
tcf(c_96329,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93673,c_50278]) ).
tcf(c_96331,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93673,c_39651]) ).
tcf(c_96339,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_18 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93673,c_36123]) ).
tcf(c_96340,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_93673,c_36122]) ).
tcf(c_96341,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_93673,c_36121]) ).
tcf(c_96343,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_18,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93673,c_34530]) ).
tcf(c_96344,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_93673,c_34527]) ).
tcf(c_96355,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c2,multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_93673,c_2927]) ).
tcf(c_96356,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_93673,c_2926]) ).
tcf(c_96367,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93673,c_1139]) ).
tcf(c_96372,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93673,c_1082]) ).
tcf(c_96374,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93673,c_1080]) ).
tcf(c_96376,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93673,c_2947]) ).
tcf(c_96392,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_18,multiply(X0,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93673,c_582]) ).
tcf(c_96401,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_93673,c_1103]) ).
tcf(c_96402,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93673,c_578]) ).
tcf(c_96403,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93673,c_577]) ).
tcf(c_96405,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( inverse(iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93673,c_567]) ).
tcf(c_96621,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,identity) = multiply(iPr_def_20,sk_c6) ) ),
inference(superposition,[status(thm)],[c_1107,c_6131]) ).
tcf(c_96623,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_1410,c_6131]) ).
tcf(c_96629,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_1409,c_6131]) ).
tcf(c_96632,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c6,X0)) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_2943,c_6131]) ).
tcf(c_96633,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_5133,c_6131]) ).
tcf(c_96638,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_5134,c_6131]) ).
tcf(c_96647,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_16) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6131]) ).
tcf(c_96648,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(sk_c5,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6131,c_14924]) ).
tcf(c_96649,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c5),multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_6131,c_14868]) ).
tcf(c_96650,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6131,c_100]) ).
tcf(c_96651,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_6131,c_14924]) ).
tcf(c_96652,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c5,iPr_def_16)),multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6131,c_14924]) ).
tcf(c_96653,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_6131,c_2945]) ).
tcf(c_96729,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93685,c_48743]) ).
tcf(c_96730,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93685,c_44364]) ).
tcf(c_96731,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93685,c_44363]) ).
tcf(c_96732,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93685,c_44007]) ).
tcf(c_96735,plain,
( ( identity = iPr_def_13 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93685,c_15984]) ).
tcf(c_96736,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_93685,c_15955]) ).
tcf(c_96762,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_21) )
| ( multiply(iPr_def_21,inverse(iPr_def_21)) != sk_c10 )
| ( multiply(inverse(iPr_def_21),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_94567,c_584]) ).
tcf(c_96779,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_91621,c_94848]) ).
tcf(c_96782,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c10 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_94848,c_584]) ).
tcf(c_96784,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94848,c_45345]) ).
tcf(c_96785,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94848,c_44884]) ).
tcf(c_96823,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c10 )
| ( multiply(inverse(iPr_def_18),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95115,c_584]) ).
tcf(c_96826,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_78189]) ).
tcf(c_96827,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_78188]) ).
tcf(c_96828,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_78093]) ).
tcf(c_96829,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_78092]) ).
tcf(c_96832,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_75821]) ).
tcf(c_96833,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_75820]) ).
tcf(c_96834,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_75819]) ).
tcf(c_96835,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_75818]) ).
tcf(c_96836,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_75817]) ).
tcf(c_96837,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_13,iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_75816]) ).
tcf(c_96843,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_75795]) ).
tcf(c_96844,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_75794]) ).
tcf(c_96845,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_75793]) ).
tcf(c_96848,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_95115,c_75728]) ).
tcf(c_96849,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_95115,c_75727]) ).
tcf(c_96850,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_95115,c_75726]) ).
tcf(c_96851,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_95115,c_75725]) ).
tcf(c_96852,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_13,iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_95115,c_75724]) ).
tcf(c_96853,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_13,iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_95115,c_75723]) ).
tcf(c_96854,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_13,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_95115,c_75732]) ).
tcf(c_96855,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( inverse(multiply(iPr_def_13,sk_c8)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_95115,c_75707]) ).
tcf(c_97260,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_93115,c_5997]) ).
tcf(c_97261,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93115,c_5996]) ).
tcf(c_97275,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93115,c_66117]) ).
tcf(c_97276,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93115,c_64314]) ).
tcf(c_97277,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93115,c_63442]) ).
tcf(c_97278,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93115,c_64271]) ).
tcf(c_97279,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93115,c_60865]) ).
tcf(c_97280,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93115,c_63400]) ).
tcf(c_97282,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93115,c_60824]) ).
tcf(c_97284,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93115,c_58343]) ).
tcf(c_97285,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93115,c_58304]) ).
tcf(c_97288,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_93115,c_44213]) ).
tcf(c_97297,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93115,c_23565]) ).
tcf(c_97298,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_93115,c_23562]) ).
tcf(c_97299,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_93115,c_3816]) ).
tcf(c_97301,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_93115,c_2925]) ).
tcf(c_97303,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_93115,c_1705]) ).
tcf(c_97304,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_93115,c_1357]) ).
tcf(c_97305,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_93115,c_1327]) ).
tcf(c_97306,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_93115,c_1303]) ).
tcf(c_97307,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_93115,c_1279]) ).
tcf(c_97308,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_93115,c_1201]) ).
tcf(c_97310,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93115,c_2948]) ).
tcf(c_97311,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_93115,c_1102]) ).
tcf(c_97312,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_93115,c_579]) ).
tcf(c_97313,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_93115,c_580]) ).
tcf(c_97353,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_25 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_97303,c_34527]) ).
tcf(c_97477,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93682,c_66049]) ).
tcf(c_97478,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_64852]) ).
tcf(c_97479,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_63672]) ).
tcf(c_97480,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_13 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93682,c_64248]) ).
tcf(c_97481,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_62965]) ).
tcf(c_97482,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93682,c_63377]) ).
tcf(c_97483,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_60525]) ).
tcf(c_97484,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93682,c_60801]) ).
tcf(c_97485,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_58624]) ).
tcf(c_97486,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93682,c_58944]) ).
tcf(c_97487,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93682,c_58280]) ).
tcf(c_97488,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_57354]) ).
tcf(c_97489,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93682,c_56889]) ).
tcf(c_97494,plain,
( ( identity = iPr_def_20 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_44070]) ).
tcf(c_97495,plain,
( ( identity = iPr_def_20 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_43804]) ).
tcf(c_97496,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_13,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_93682,c_38079]) ).
tcf(c_97497,plain,
( ( identity = iPr_def_13 )
| ( multiply(inverse(iPr_def_23),iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93682,c_38028]) ).
tcf(c_97498,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_27708]) ).
tcf(c_97499,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_27327]) ).
tcf(c_97500,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_26966]) ).
tcf(c_97501,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_25507]) ).
tcf(c_97502,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_5001]) ).
tcf(c_97503,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_4817]) ).
tcf(c_97504,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_4530]) ).
tcf(c_97505,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_4424]) ).
tcf(c_97506,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_4218]) ).
tcf(c_97508,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_3989]) ).
tcf(c_97510,plain,
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_93682,c_12170]) ).
tcf(c_97511,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_93682,c_2927]) ).
tcf(c_97512,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_2104]) ).
tcf(c_97513,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_2029]) ).
tcf(c_97514,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_1959]) ).
tcf(c_97515,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_1845]) ).
tcf(c_97516,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_1647]) ).
tcf(c_97517,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_1598]) ).
tcf(c_97518,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_1556]) ).
tcf(c_97519,plain,
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_1487]) ).
tcf(c_97526,plain,
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_577]) ).
tcf(c_97527,plain,
( ( identity = iPr_def_13 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_93682,c_569]) ).
tcf(c_97532,plain,
( ( identity = iPr_def_13 )
| ( multiply(iPr_def_23,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_97510,c_5374]) ).
tcf(c_98023,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_93962,c_90693]) ).
tcf(c_98024,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93962,c_48990]) ).
tcf(c_98029,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_93962,c_80317]) ).
tcf(c_98032,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_93962,c_54058]) ).
tcf(c_98033,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_93962,c_38079]) ).
tcf(c_98034,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93962,c_38028]) ).
tcf(c_98035,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_93962,c_38018]) ).
tcf(c_98046,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_93962,c_5123]) ).
tcf(c_98048,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_7259]) ).
tcf(c_98049,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_7255]) ).
tcf(c_98050,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_7184]) ).
tcf(c_98051,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_7180]) ).
tcf(c_98052,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_6853]) ).
tcf(c_98053,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_6849]) ).
tcf(c_98054,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_6429]) ).
tcf(c_98055,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_6425]) ).
tcf(c_98056,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_1139]) ).
tcf(c_98059,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_1082]) ).
tcf(c_98061,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93962,c_1080]) ).
tcf(c_98063,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_93962,c_5120]) ).
tcf(c_98071,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,sk_c2) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_98034,c_35515]) ).
tcf(c_98075,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_98061,c_34527]) ).
tcf(c_98079,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_98059,c_34527]) ).
tcf(c_98083,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_98056,c_34527]) ).
tcf(c_98116,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_98033,c_35515]) ).
tcf(c_98136,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(sk_c9,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_94271,c_2921]) ).
tcf(c_98137,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94271,c_2200]) ).
tcf(c_98138,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94271,c_1706]) ).
tcf(c_98139,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94271,c_1358]) ).
tcf(c_98147,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,sk_c9) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94271,c_575]) ).
tcf(c_98148,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( inverse(iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_94271,c_576]) ).
tcf(c_98152,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c3 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_98139,c_5374]) ).
tcf(c_98171,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_39246,c_6141]) ).
tcf(c_98174,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,identity) = multiply(iPr_def_21,sk_c10) ) ),
inference(superposition,[status(thm)],[c_1103,c_6141]) ).
tcf(c_98176,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,identity) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1109,c_6141]) ).
tcf(c_98178,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,identity) = multiply(iPr_def_21,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_1110,c_6141]) ).
tcf(c_98180,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,identity) = multiply(iPr_def_21,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1111,c_6141]) ).
tcf(c_98182,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,identity) = multiply(iPr_def_21,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_1112,c_6141]) ).
tcf(c_98202,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_21) = multiply(iPr_def_21,sk_c9) ) ),
inference(superposition,[status(thm)],[c_39440,c_6141]) ).
tcf(c_98217,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_2947,c_6141]) ).
tcf(c_98218,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,sk_c3) = multiply(iPr_def_21,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_5374,c_6141]) ).
tcf(c_98220,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_5399,c_6141]) ).
tcf(c_98222,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_21,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_5400,c_6141]) ).
tcf(c_98224,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_20,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_5401,c_6141]) ).
tcf(c_98232,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_18,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_5402,c_6141]) ).
tcf(c_98239,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,multiply(sk_c3,X0)) = multiply(iPr_def_21,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_5564,c_6141]) ).
tcf(c_98240,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_13) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6141]) ).
tcf(c_98250,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_21,X0)),multiply(sk_c4,multiply(multiply(iPr_def_13,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6141,c_14924]) ).
tcf(c_98251,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_21,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_6141,c_14868]) ).
tcf(c_98252,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,multiply(multiply(iPr_def_13,X0),X1)) = multiply(multiply(iPr_def_21,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6141,c_100]) ).
tcf(c_98253,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,multiply(iPr_def_21,X1))) = multiply(iPr_def_13,X1) ) ),
inference(superposition,[status(thm)],[c_6141,c_14924]) ).
tcf(c_98254,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c4,iPr_def_13)),multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6141,c_14924]) ).
tcf(c_98255,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(iPr_def_21,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_6141,c_2946]) ).
tcf(c_98380,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_93504,c_14924]) ).
tcf(c_98381,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93504,c_14868]) ).
tcf(c_98383,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93504,c_14924]) ).
tcf(c_98384,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_93504,c_2927]) ).
tcf(c_98385,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93504,c_2947]) ).
tcf(c_98388,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_98384,c_12170]) ).
tcf(c_98426,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_93675,c_14924]) ).
tcf(c_98427,plain,
( ( identity = iPr_def_13 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_93675,c_14868]) ).
tcf(c_98429,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_93675,c_14924]) ).
tcf(c_98430,plain,
( ( identity = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_93675,c_53869]) ).
tcf(c_98443,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_90819,c_94265]) ).
tcf(c_98444,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_86642,c_94265]) ).
tcf(c_98472,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_22,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_94265,c_14924]) ).
tcf(c_98473,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_22),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_94265,c_14868]) ).
tcf(c_98475,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_94265,c_14924]) ).
tcf(c_98476,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_94265,c_39109]) ).
tcf(c_98498,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_94266]) ).
tcf(c_98524,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90819,c_94266]) ).
tcf(c_98525,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86642,c_94266]) ).
tcf(c_98526,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_94266,c_14924]) ).
tcf(c_98527,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_94266,c_14868]) ).
tcf(c_98529,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_94266,c_14924]) ).
tcf(c_98530,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_94266,c_38079]) ).
tcf(c_98531,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_94266,c_2942]) ).
tcf(c_98640,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96784,c_91758]) ).
tcf(c_98641,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_96784,c_92334]) ).
tcf(c_98642,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_91797]) ).
tcf(c_98643,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96784,c_87541]) ).
tcf(c_98644,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_96784,c_87847]) ).
tcf(c_98645,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_87579]) ).
tcf(c_98646,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_96784,c_83999]) ).
tcf(c_98648,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96784,c_66576]) ).
tcf(c_98649,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_96784,c_66710]) ).
tcf(c_98650,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_66606]) ).
tcf(c_98651,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_96784,c_5935]) ).
tcf(c_98652,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_64852]) ).
tcf(c_98653,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_64851]) ).
tcf(c_98654,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_63672]) ).
tcf(c_98655,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_63671]) ).
tcf(c_98656,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_62965]) ).
tcf(c_98657,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_62964]) ).
tcf(c_98658,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_60525]) ).
tcf(c_98659,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_60524]) ).
tcf(c_98660,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_58624]) ).
tcf(c_98661,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_58623]) ).
tcf(c_98662,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_57354]) ).
tcf(c_98663,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_57353]) ).
tcf(c_98664,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_43804]) ).
tcf(c_98666,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_96784,c_5380]) ).
tcf(c_98667,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_96784,c_5378]) ).
tcf(c_98668,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_38237]) ).
tcf(c_98669,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_37963]) ).
tcf(c_98670,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_37836]) ).
tcf(c_98671,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_37425]) ).
tcf(c_98672,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_96784,c_5394]) ).
tcf(c_98673,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_96784,c_5393]) ).
tcf(c_98674,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_96784,c_5392]) ).
tcf(c_98675,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_96784,c_5391]) ).
tcf(c_98676,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_96784,c_23565]) ).
tcf(c_98677,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_96784,c_23929]) ).
tcf(c_98678,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_96784,c_23562]) ).
tcf(c_98679,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_96784,c_5621]) ).
tcf(c_98680,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_96784,c_5615]) ).
tcf(c_98681,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_4424]) ).
tcf(c_98682,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_4423]) ).
tcf(c_98683,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_96784,c_4422]) ).
tcf(c_98684,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_4098]) ).
tcf(c_98685,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_4097]) ).
tcf(c_98686,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_96784,c_4096]) ).
tcf(c_98688,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_7255]) ).
tcf(c_98689,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_7180]) ).
tcf(c_98690,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_6849]) ).
tcf(c_98691,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_6425]) ).
tcf(c_98692,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_2104]) ).
tcf(c_98693,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_2103]) ).
tcf(c_98694,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_96784,c_2102]) ).
tcf(c_98695,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_2029]) ).
tcf(c_98696,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_2028]) ).
tcf(c_98697,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_96784,c_2027]) ).
tcf(c_98698,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_1959]) ).
tcf(c_98699,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_1958]) ).
tcf(c_98700,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_96784,c_1957]) ).
tcf(c_98701,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96784,c_1845]) ).
tcf(c_98702,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96784,c_1844]) ).
tcf(c_98703,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_96784,c_1843]) ).
tcf(c_98712,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_96784,c_5612]) ).
tcf(c_98713,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_96784,c_2948]) ).
tcf(c_98714,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_96784,c_1102]) ).
tcf(c_98717,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_98677,c_53942]) ).
tcf(c_98745,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_98701,c_53866]) ).
tcf(c_98755,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_98698,c_53866]) ).
tcf(c_98765,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_98695,c_53866]) ).
tcf(c_98775,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_98692,c_53866]) ).
tcf(c_98779,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_98691,c_5120]) ).
tcf(c_98783,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_98690,c_5120]) ).
tcf(c_98787,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_98689,c_5120]) ).
tcf(c_98791,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_98688,c_5120]) ).
tcf(c_98801,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98684,c_53866]) ).
tcf(c_98811,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98681,c_53866]) ).
tcf(c_98824,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98662,c_53866]) ).
tcf(c_98831,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98660,c_53866]) ).
tcf(c_98838,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98658,c_53866]) ).
tcf(c_98845,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98656,c_53866]) ).
tcf(c_98852,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98654,c_53866]) ).
tcf(c_98859,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98652,c_53866]) ).
tcf(c_98900,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98675,c_54518]) ).
tcf(c_98904,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98674,c_54518]) ).
tcf(c_98908,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98673,c_54518]) ).
tcf(c_98912,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98672,c_54518]) ).
tcf(c_98916,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98667,c_54518]) ).
tcf(c_98920,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98666,c_54518]) ).
tcf(c_99252,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_91797]) ).
tcf(c_99253,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_90858]) ).
tcf(c_99265,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_66117]) ).
tcf(c_99266,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_64314]) ).
tcf(c_99267,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_63442]) ).
tcf(c_99269,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_60865]) ).
tcf(c_99273,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_97285,c_12073]) ).
tcf(c_99274,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_97285,c_61092]) ).
tcf(c_99276,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_58343]) ).
tcf(c_99284,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_97285,c_48478]) ).
tcf(c_99293,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_97285,c_36123]) ).
tcf(c_99294,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_97285,c_36122]) ).
tcf(c_99299,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_97285,c_26788]) ).
tcf(c_99300,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_97285,c_26546]) ).
tcf(c_99301,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_97285,c_26422]) ).
tcf(c_99302,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_97285,c_25284]) ).
tcf(c_99304,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_97285,c_24883]) ).
tcf(c_99310,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_97285,c_2927]) ).
tcf(c_99311,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_97285,c_2926]) ).
tcf(c_99323,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_97285,c_1139]) ).
tcf(c_99328,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_97285,c_1082]) ).
tcf(c_99330,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_97285,c_1080]) ).
tcf(c_99332,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_97285,c_2947]) ).
tcf(c_99349,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_97285,c_582]) ).
tcf(c_99361,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_97285,c_593]) ).
tcf(c_99363,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_97285,c_592]) ).
tcf(c_99364,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_97285,c_591]) ).
tcf(c_99365,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_97285,c_589]) ).
tcf(c_99528,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_98646,c_86151]) ).
tcf(c_99531,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_98646,c_76295]) ).
tcf(c_99533,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_98646,c_76113]) ).
tcf(c_99534,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_98646,c_76112]) ).
tcf(c_99535,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_98646,c_76111]) ).
tcf(c_99536,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_98646,c_76389]) ).
tcf(c_99538,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_98646,c_26846]) ).
tcf(c_99539,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_98646,c_23965]) ).
tcf(c_99543,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_98646,c_23963]) ).
tcf(c_99544,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_98646,c_23961]) ).
tcf(c_99545,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_98646,c_23960]) ).
tcf(c_99546,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_98646,c_23959]) ).
tcf(c_99547,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_98646,c_23958]) ).
tcf(c_99548,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_98646,c_23957]) ).
tcf(c_99549,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_98646,c_23956]) ).
tcf(c_99550,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98646,c_35337]) ).
tcf(c_99551,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98646,c_34934]) ).
tcf(c_99552,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_98646,c_48478]) ).
tcf(c_99556,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98646,c_35573]) ).
tcf(c_99557,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98646,c_35572]) ).
tcf(c_99558,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98646,c_44072]) ).
tcf(c_99564,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_98646,c_34641]) ).
tcf(c_99565,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_98646,c_34640]) ).
tcf(c_99566,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_98646,c_34639]) ).
tcf(c_99567,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_98646,c_34638]) ).
tcf(c_99569,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_98646,c_26849]) ).
tcf(c_99570,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_98646,c_26788]) ).
tcf(c_99571,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_98646,c_26546]) ).
tcf(c_99572,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_98646,c_26422]) ).
tcf(c_99573,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_98646,c_25284]) ).
tcf(c_99577,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_98646,c_25055]) ).
tcf(c_99578,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_98646,c_24883]) ).
tcf(c_99587,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_98646,c_5615]) ).
tcf(c_99611,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98646,c_3991]) ).
tcf(c_99612,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98646,c_3912]) ).
tcf(c_99613,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98646,c_1649]) ).
tcf(c_99614,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98646,c_1600]) ).
tcf(c_99615,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98646,c_1558]) ).
tcf(c_99616,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98646,c_1489]) ).
tcf(c_99617,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_98646,c_5612]) ).
tcf(c_99622,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_13 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_99616,c_53942]) ).
tcf(c_99626,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_13 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_99615,c_53942]) ).
tcf(c_99630,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_13 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_99614,c_53942]) ).
tcf(c_99634,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_13 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_99613,c_53942]) ).
tcf(c_99638,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_99612,c_53942]) ).
tcf(c_99642,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_99611,c_53942]) ).
tcf(c_99655,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_99538,c_53942]) ).
tcf(c_99659,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_99536,c_53942]) ).
tcf(c_99992,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_13 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98717,c_93682]) ).
tcf(c_99993,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_98717,c_91104]) ).
tcf(c_99994,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_98717,c_90700]) ).
tcf(c_99995,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_98717,c_87345]) ).
tcf(c_99996,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_98717,c_86542]) ).
tcf(c_99997,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_98717,c_80557]) ).
tcf(c_99998,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_80230]) ).
tcf(c_99999,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_98717,c_66487]) ).
tcf(c_100000,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_64852]) ).
tcf(c_100001,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_63672]) ).
tcf(c_100002,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_62965]) ).
tcf(c_100003,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_60525]) ).
tcf(c_100004,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_58624]) ).
tcf(c_100005,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_57354]) ).
tcf(c_100006,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_98717,c_56120]) ).
tcf(c_100007,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98717,c_53951]) ).
tcf(c_100008,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98717,c_53950]) ).
tcf(c_100009,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98717,c_53949]) ).
tcf(c_100010,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98717,c_53948]) ).
tcf(c_100011,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98717,c_53947]) ).
tcf(c_100012,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98717,c_53946]) ).
tcf(c_100013,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98717,c_53945]) ).
tcf(c_100018,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_44070]) ).
tcf(c_100019,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_43804]) ).
tcf(c_100020,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_98717,c_38079]) ).
tcf(c_100021,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98717,c_38030]) ).
tcf(c_100022,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),sk_c1) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_98717,c_38028]) ).
tcf(c_100030,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_4424]) ).
tcf(c_100032,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_4098]) ).
tcf(c_100033,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_3989]) ).
tcf(c_100034,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_3910]) ).
tcf(c_100035,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_98717,c_12170]) ).
tcf(c_100036,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_98717,c_2927]) ).
tcf(c_100037,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_2104]) ).
tcf(c_100038,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_2029]) ).
tcf(c_100039,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_1959]) ).
tcf(c_100040,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_1845]) ).
tcf(c_100041,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_1647]) ).
tcf(c_100042,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_1598]) ).
tcf(c_100043,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_1556]) ).
tcf(c_100044,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_1487]) ).
tcf(c_100045,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_1066]) ).
tcf(c_100046,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_1065]) ).
tcf(c_100047,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_1064]) ).
tcf(c_100048,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_1063]) ).
tcf(c_100051,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_98717,c_577]) ).
tcf(c_100052,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( inverse(sk_c1) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_98717,c_569]) ).
tcf(c_100451,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_98717,c_6153]) ).
tcf(c_100482,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,identity) = multiply(iPr_def_23,sk_c4) ) ),
inference(superposition,[status(thm)],[c_1104,c_6153]) ).
tcf(c_100483,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c4,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_2946,c_6153]) ).
tcf(c_100484,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,sk_c9) = multiply(iPr_def_23,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_5364,c_6153]) ).
tcf(c_100485,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(sk_c9,X0)) = multiply(iPr_def_23,multiply(iPr_def_21,X0)) ) ),
inference(superposition,[status(thm)],[c_5372,c_6153]) ).
tcf(c_100486,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_22) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6153]) ).
tcf(c_100487,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,identity) = multiply(iPr_def_23,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_34642,c_6153]) ).
tcf(c_100491,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_23,X0)),multiply(sk_c2,multiply(multiply(iPr_def_22,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6153,c_14924]) ).
tcf(c_100492,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_23,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6153,c_14868]) ).
tcf(c_100493,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6153,c_100]) ).
tcf(c_100494,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(iPr_def_23,X1))) = multiply(iPr_def_22,X1) ) ),
inference(superposition,[status(thm)],[c_6153,c_14924]) ).
tcf(c_100495,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c2,iPr_def_22)),multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6153,c_14924]) ).
tcf(c_100496,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = multiply(iPr_def_13,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_6153,c_38079]) ).
tcf(c_100497,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6153,c_2942]) ).
tcf(c_100498,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,identity) = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_100487,c_38018]) ).
tcf(c_100561,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_21,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_94564,c_14924]) ).
tcf(c_100562,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_94564,c_14868]) ).
tcf(c_100564,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_94564,c_14924]) ).
tcf(c_100567,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c9,sk_c3) = multiply(iPr_def_22,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_94564,c_5372]) ).
tcf(c_100583,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_94565]) ).
tcf(c_100609,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_94565,c_14924]) ).
tcf(c_100610,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94565,c_14868]) ).
tcf(c_100612,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94565,c_14924]) ).
tcf(c_100613,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_94565,c_38079]) ).
tcf(c_100614,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94565,c_2942]) ).
tcf(c_100663,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_20,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_94845,c_14924]) ).
tcf(c_100664,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_94845,c_14868]) ).
tcf(c_100666,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_94845,c_14924]) ).
tcf(c_100669,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94845,c_45348]) ).
tcf(c_100670,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_94845,c_44887]) ).
tcf(c_100674,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c8,sk_c3) = multiply(iPr_def_19,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_94845,c_5362]) ).
tcf(c_100695,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_94846]) ).
tcf(c_100722,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_94846,c_14924]) ).
tcf(c_100723,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94846,c_14868]) ).
tcf(c_100725,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94846,c_14924]) ).
tcf(c_100726,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_94846,c_38079]) ).
tcf(c_100727,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_94846,c_2942]) ).
tcf(c_100747,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_99528,c_90693]) ).
tcf(c_100748,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_48990]) ).
tcf(c_100750,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_99528,c_86535]) ).
tcf(c_100751,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_48960]) ).
tcf(c_100758,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_99528,c_54058]) ).
tcf(c_100759,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_99528,c_38079]) ).
tcf(c_100760,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_99528,c_38028]) ).
tcf(c_100761,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_99528,c_38018]) ).
tcf(c_100763,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_16805]) ).
tcf(c_100764,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_99528,c_5123]) ).
tcf(c_100766,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_7259]) ).
tcf(c_100767,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_7255]) ).
tcf(c_100768,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_7184]) ).
tcf(c_100769,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_7180]) ).
tcf(c_100770,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_6853]) ).
tcf(c_100771,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_6849]) ).
tcf(c_100772,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_6429]) ).
tcf(c_100773,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_6425]) ).
tcf(c_100774,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_1139]) ).
tcf(c_100777,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_1082]) ).
tcf(c_100779,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99528,c_1080]) ).
tcf(c_100781,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_99528,c_5120]) ).
tcf(c_100786,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,sk_c2) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_100760,c_53942]) ).
tcf(c_100789,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_100751,c_53942]) ).
tcf(c_100793,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_100748,c_53942]) ).
tcf(c_100844,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_100759,c_53942]) ).
tcf(c_100940,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_100669,c_94845]) ).
tcf(c_100941,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_100669,c_94564]) ).
tcf(c_100942,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_100669,c_94265]) ).
tcf(c_100943,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_100669,c_93675]) ).
tcf(c_100981,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_100669,c_2926]) ).
tcf(c_101005,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_100669,c_603]) ).
tcf(c_101008,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_100669,c_578]) ).
tcf(c_101010,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_100669,c_599]) ).
tcf(c_101012,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_100669,c_596]) ).
tcf(c_101043,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_50060]) ).
tcf(c_101044,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93962,c_50060]) ).
tcf(c_101045,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88905,c_50060]) ).
tcf(c_101046,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67817,c_50060]) ).
tcf(c_101047,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34351,c_50060]) ).
tcf(c_101049,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30942,c_50060]) ).
tcf(c_101050,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30693,c_50060]) ).
tcf(c_101052,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28896,c_50060]) ).
tcf(c_101053,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28667,c_50060]) ).
tcf(c_101055,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50060,c_14868]) ).
tcf(c_101056,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_50060,c_99]) ).
tcf(c_101057,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_50060,c_584]) ).
tcf(c_101058,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_50060,c_34349]) ).
tcf(c_101061,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_50060,c_38079]) ).
tcf(c_101062,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_50060,c_38028]) ).
tcf(c_101063,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_101053,c_53942]) ).
tcf(c_101075,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_101052,c_53942]) ).
tcf(c_101079,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_101050,c_53942]) ).
tcf(c_101083,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_101049,c_53942]) ).
tcf(c_101087,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_101047,c_53942]) ).
tcf(c_101094,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_101043,c_53942]) ).
tcf(c_101150,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101063,c_98717]) ).
tcf(c_101159,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101063,c_66049]) ).
tcf(c_101160,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_64852]) ).
tcf(c_101161,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_63672]) ).
tcf(c_101162,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101063,c_64248]) ).
tcf(c_101163,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_62965]) ).
tcf(c_101164,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101063,c_63377]) ).
tcf(c_101165,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_60525]) ).
tcf(c_101166,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101063,c_60801]) ).
tcf(c_101168,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101063,c_58944]) ).
tcf(c_101172,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101063,c_53951]) ).
tcf(c_101174,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101063,c_53949]) ).
tcf(c_101175,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101063,c_53948]) ).
tcf(c_101176,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101063,c_53947]) ).
tcf(c_101183,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_44070]) ).
tcf(c_101184,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_43804]) ).
tcf(c_101185,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_101063,c_38079]) ).
tcf(c_101187,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101063,c_38028]) ).
tcf(c_101195,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_4424]) ).
tcf(c_101198,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_3989]) ).
tcf(c_101200,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_101063,c_12170]) ).
tcf(c_101201,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_101063,c_2927]) ).
tcf(c_101202,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_2104]) ).
tcf(c_101203,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_2029]) ).
tcf(c_101204,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_1959]) ).
tcf(c_101205,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_1845]) ).
tcf(c_101206,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_1647]) ).
tcf(c_101207,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_1598]) ).
tcf(c_101208,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_1556]) ).
tcf(c_101209,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_1487]) ).
tcf(c_101214,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_101063,c_2942]) ).
tcf(c_101215,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_101063,c_1108]) ).
tcf(c_101216,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101063,c_577]) ).
tcf(c_101495,plain,
( ( sk_c9 = iPr_def_13 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_101005,c_569,c_594,c_630,c_1921,c_1922,c_4714,c_4715,c_8904,c_8903,c_61363]) ).
tcf(c_101496,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_13 ) ),
inference(renaming,[status(thm)],[c_101495]) ).
tcf(c_101531,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_101496,c_75821]) ).
tcf(c_101532,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_101496,c_75820]) ).
tcf(c_101541,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_101496,c_75732]) ).
tcf(c_101552,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_101496,c_39650]) ).
tcf(c_101553,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_101496,c_39440]) ).
tcf(c_101555,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101496,c_35752]) ).
tcf(c_101563,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_101496,c_17478]) ).
tcf(c_101564,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_101496,c_2925]) ).
tcf(c_101565,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_101496,c_2923]) ).
tcf(c_101566,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_101496,c_2921]) ).
tcf(c_101576,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_101496,c_1241]) ).
tcf(c_101577,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_101496,c_1163]) ).
tcf(c_101582,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101496,c_612]) ).
tcf(c_101583,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_101496,c_611]) ).
tcf(c_101584,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_101496,c_610]) ).
tcf(c_101585,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_101496,c_609]) ).
tcf(c_101586,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_101496,c_607]) ).
tcf(c_101587,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101496,c_579]) ).
tcf(c_101588,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_101496,c_575]) ).
tcf(c_101589,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_101496,c_572]) ).
tcf(c_101646,plain,
( ( sk_c8 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_101010,c_569,c_580,c_1921,c_1922,c_2153,c_2154,c_2607,c_4331,c_5356,c_9648,c_22931,c_23668,c_23669]) ).
tcf(c_101647,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_19 ) ),
inference(renaming,[status(thm)],[c_101646]) ).
tcf(c_101675,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_101647,c_75732]) ).
tcf(c_101676,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101647,c_75707]) ).
tcf(c_101677,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101647,c_68514]) ).
tcf(c_101683,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101647,c_14917]) ).
tcf(c_101686,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_101647,c_2924]) ).
tcf(c_101687,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_101647,c_2923]) ).
tcf(c_101688,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_101647,c_2922]) ).
tcf(c_101704,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_101647,c_574]) ).
tcf(c_101705,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_101647,c_572]) ).
tcf(c_101706,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_101647,c_568]) ).
tcf(c_101713,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_101683,c_10789,c_39687]) ).
tcf(c_101730,plain,
( ( sk_c8 = iPr_def_16 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_101012,c_4415,c_39669,c_101647]) ).
tcf(c_101731,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c8 = iPr_def_16 ) ),
inference(renaming,[status(thm)],[c_101730]) ).
tcf(c_101761,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_101731,c_75732]) ).
tcf(c_101762,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101731,c_75707]) ).
tcf(c_101763,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101731,c_68514]) ).
tcf(c_101769,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101731,c_14917]) ).
tcf(c_101772,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_101731,c_2924]) ).
tcf(c_101773,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_101731,c_2923]) ).
tcf(c_101774,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c5,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_101731,c_2922]) ).
tcf(c_101790,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_101731,c_574]) ).
tcf(c_101791,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_101731,c_572]) ).
tcf(c_101792,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_101731,c_568]) ).
tcf(c_101800,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_101769,c_49776]) ).
tcf(c_101881,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_93101,c_6227]) ).
tcf(c_101882,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_88652,c_6227]) ).
tcf(c_101883,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_86151,c_6227]) ).
tcf(c_101885,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34158,c_6227]) ).
tcf(c_101886,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27658,c_6227]) ).
tcf(c_101887,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27657,c_6227]) ).
tcf(c_101888,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27656,c_6227]) ).
tcf(c_101889,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27277,c_6227]) ).
tcf(c_101890,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27276,c_6227]) ).
tcf(c_101891,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26916,c_6227]) ).
tcf(c_101902,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_15,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6227,c_14924]) ).
tcf(c_101903,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6227,c_14868]) ).
tcf(c_101905,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,sk_c9)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6227,c_14924]) ).
tcf(c_101906,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6227,c_53869]) ).
tcf(c_101909,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_101885,c_5120]) ).
tcf(c_101919,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_101883,c_5120]) ).
tcf(c_101945,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_100669,c_95112]) ).
tcf(c_101973,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_18,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95112,c_14924]) ).
tcf(c_101974,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_95112,c_14868]) ).
tcf(c_101976,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_95112,c_14924]) ).
tcf(c_101995,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93682,c_95113]) ).
tcf(c_102021,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c2,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95113,c_14924]) ).
tcf(c_102022,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_95113,c_14868]) ).
tcf(c_102024,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_23)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_95113,c_14924]) ).
tcf(c_102025,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c2,sk_c8)),iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_95113,c_68514]) ).
tcf(c_102026,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = multiply(iPr_def_13,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_95113,c_38079]) ).
tcf(c_102027,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_95113,c_2942]) ).
tcf(c_102079,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_92509,c_97312]) ).
tcf(c_102082,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77463,c_97312]) ).
tcf(c_102084,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64470,c_97312]) ).
tcf(c_102085,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63522,c_97312]) ).
tcf(c_102086,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60967,c_97312]) ).
tcf(c_102090,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39651,c_97312]) ).
tcf(c_102091,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39649,c_97312]) ).
tcf(c_102092,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39648,c_97312]) ).
tcf(c_102113,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1901,c_97312]) ).
tcf(c_102126,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_629,c_97312]) ).
tcf(c_102127,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_628,c_97312]) ).
tcf(c_102128,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_627,c_97312]) ).
tcf(c_102129,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_625,c_97312]) ).
tcf(c_102130,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_97312]) ).
tcf(c_102131,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_97312]) ).
tcf(c_102132,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_97312]) ).
tcf(c_102133,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_97312]) ).
tcf(c_102139,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_97312]) ).
tcf(c_102144,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_97312]) ).
tcf(c_102145,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_97312]) ).
tcf(c_102165,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c10,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_97312,c_14924]) ).
tcf(c_102166,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_97312,c_14868]) ).
tcf(c_102168,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_97312,c_14924]) ).
tcf(c_102169,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = multiply(iPr_def_23,sk_c9) ) ),
inference(superposition,[status(thm)],[c_97312,c_2927]) ).
tcf(c_102230,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_102145,c_34527]) ).
tcf(c_102235,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_102144,c_34527]) ).
tcf(c_102292,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_101496,c_98147]) ).
tcf(c_102319,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_13,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98147,c_14924]) ).
tcf(c_102320,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_13),iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_98147,c_14868]) ).
tcf(c_102322,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,iPr_def_21)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_98147,c_14924]) ).
tcf(c_102336,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_21) = multiply(iPr_def_21,sk_c9) ) ),
inference(superposition,[status(thm)],[c_98147,c_6141]) ).
tcf(c_102337,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_21) = multiply(iPr_def_18,sk_c9) ) ),
inference(superposition,[status(thm)],[c_98147,c_6113]) ).
tcf(c_102340,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_98147,c_35577]) ).
tcf(c_102341,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_98147,c_35576]) ).
tcf(c_102342,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_98147,c_35575]) ).
tcf(c_102346,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_98147,c_34530]) ).
tcf(c_102386,plain,
( ( iPr_def_15 = iPr_def_26 )
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_101563,c_569,c_580,c_1921,c_1922,c_2153,c_2154,c_2607,c_4331,c_22931,c_23668,c_23669,c_38332,c_94784,c_96784,c_101563]) ).
tcf(c_102387,plain,
( iPr_def_11
| ( iPr_def_15 = iPr_def_26 ) ),
inference(renaming,[status(thm)],[c_102386]) ).
tcf(c_102423,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_101168,c_5997]) ).
tcf(c_102424,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_101168,c_5996]) ).
tcf(c_102438,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101168,c_66117]) ).
tcf(c_102439,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101168,c_64314]) ).
tcf(c_102440,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101168,c_63442]) ).
tcf(c_102442,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101168,c_60865]) ).
tcf(c_102451,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101168,c_44213]) ).
tcf(c_102460,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_101168,c_23565]) ).
tcf(c_102461,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_101168,c_23562]) ).
tcf(c_102462,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101168,c_3816]) ).
tcf(c_102464,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_101168,c_2925]) ).
tcf(c_102466,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101168,c_1705]) ).
tcf(c_102467,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101168,c_1357]) ).
tcf(c_102468,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101168,c_1327]) ).
tcf(c_102469,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101168,c_1303]) ).
tcf(c_102470,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101168,c_1279]) ).
tcf(c_102471,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101168,c_1201]) ).
tcf(c_102473,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_101168,c_2948]) ).
tcf(c_102474,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_101168,c_1102]) ).
tcf(c_102475,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101168,c_579]) ).
tcf(c_102476,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_101168,c_580]) ).
tcf(c_102477,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_102476,c_53942]) ).
tcf(c_102905,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101176,c_94266]) ).
tcf(c_102906,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_101176,c_94265]) ).
tcf(c_102907,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101176,c_90819]) ).
tcf(c_102908,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_101176,c_86642]) ).
tcf(c_102910,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_101176,c_39109]) ).
tcf(c_102911,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_21) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_101176,c_39242]) ).
tcf(c_102912,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_101176,c_39106]) ).
tcf(c_102915,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_101176,c_5375]) ).
tcf(c_102916,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101176,c_25507]) ).
tcf(c_102917,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_101176,c_25506]) ).
tcf(c_102919,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_21,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_101176,c_5372]) ).
tcf(c_102920,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101176,c_5001]) ).
tcf(c_102921,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_101176,c_5000]) ).
tcf(c_102922,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_101176,c_4999]) ).
tcf(c_102926,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_21) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101176,c_5364]) ).
tcf(c_102927,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(sk_c4,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_101176,c_2946]) ).
tcf(c_102928,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c4) = identity ) ),
inference(superposition,[status(thm)],[c_101176,c_1104]) ).
tcf(c_103011,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_97312]) ).
tcf(c_103013,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_92334]) ).
tcf(c_103014,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_91102]) ).
tcf(c_103015,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_89236]) ).
tcf(c_103018,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_87847]) ).
tcf(c_103019,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_87343]) ).
tcf(c_103036,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_101909,c_75732]) ).
tcf(c_103040,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_64468]) ).
tcf(c_103041,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_63520]) ).
tcf(c_103042,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_60965]) ).
tcf(c_103043,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_60377]) ).
tcf(c_103044,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_58423]) ).
tcf(c_103045,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_57103]) ).
tcf(c_103048,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_44747]) ).
tcf(c_103049,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_101909,c_39650]) ).
tcf(c_103052,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_101909,c_35752]) ).
tcf(c_103053,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_24760]) ).
tcf(c_103054,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_24515]) ).
tcf(c_103055,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_24472]) ).
tcf(c_103056,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_24428]) ).
tcf(c_103058,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_24214]) ).
tcf(c_103060,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101909,c_17478]) ).
tcf(c_103061,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_101909,c_2925]) ).
tcf(c_103063,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(sk_c10,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_101909,c_2923]) ).
tcf(c_103064,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(sk_c10,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_101909,c_2921]) ).
tcf(c_103080,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_101909,c_1239]) ).
tcf(c_103089,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_579]) ).
tcf(c_103090,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,sk_c10) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_101909,c_575]) ).
tcf(c_103091,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,sk_c10) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_101909,c_572]) ).
tcf(c_103103,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_103058,c_1103]) ).
tcf(c_103201,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1357,c_6228]) ).
tcf(c_103206,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23562,c_6228]) ).
tcf(c_103218,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_23565,c_6228]) ).
tcf(c_103220,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_101168,c_6228]) ).
tcf(c_103221,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93115,c_6228]) ).
tcf(c_103222,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91749,c_6228]) ).
tcf(c_103223,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_90811,c_6228]) ).
tcf(c_103224,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88667,c_6228]) ).
tcf(c_103225,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87533,c_6228]) ).
tcf(c_103226,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86635,c_6228]) ).
tcf(c_103228,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_80257,c_6228]) ).
tcf(c_103229,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77042,c_6228]) ).
tcf(c_103247,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(sk_c1,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6228,c_14924]) ).
tcf(c_103249,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6228,c_100]) ).
tcf(c_103250,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(sk_c1,X1) ) ),
inference(superposition,[status(thm)],[c_6228,c_14924]) ).
tcf(c_103251,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c1)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6228,c_14924]) ).
tcf(c_103262,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_103249,c_23561,c_23929]) ).
tcf(c_103289,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(sk_c1,multiply(X0,X1)))) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_103247,c_23561,c_23929]) ).
tcf(c_103315,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101168,c_100051]) ).
tcf(c_103316,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93115,c_100051]) ).
tcf(c_103317,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91749,c_100051]) ).
tcf(c_103319,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_88667,c_100051]) ).
tcf(c_103320,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87533,c_100051]) ).
tcf(c_103322,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_82527,c_100051]) ).
tcf(c_103323,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_80257,c_100051]) ).
tcf(c_103324,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(identity,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77042,c_100051]) ).
tcf(c_103326,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_67239,c_100051]) ).
tcf(c_103327,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66547,c_100051]) ).
tcf(c_103329,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_64271,c_100051]) ).
tcf(c_103330,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_63400,c_100051]) ).
tcf(c_103331,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60824,c_100051]) ).
tcf(c_103332,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58967,c_100051]) ).
tcf(c_103333,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58304,c_100051]) ).
tcf(c_103334,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56913,c_100051]) ).
tcf(c_103335,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_43810,c_100051]) ).
tcf(c_103336,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23936,c_100051]) ).
tcf(c_103337,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23935,c_100051]) ).
tcf(c_103338,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23934,c_100051]) ).
tcf(c_103339,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23933,c_100051]) ).
tcf(c_103340,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23932,c_100051]) ).
tcf(c_103341,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23931,c_100051]) ).
tcf(c_103342,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_100051]) ).
tcf(c_103351,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_100051]) ).
tcf(c_103352,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_100051]) ).
tcf(c_103354,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77463,c_100051]) ).
tcf(c_103355,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_67851,c_100051]) ).
tcf(c_103362,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_100051]) ).
tcf(c_103369,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_100051]) ).
tcf(c_103390,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_986,c_100051]) ).
tcf(c_103391,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_985,c_100051]) ).
tcf(c_103392,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_984,c_100051]) ).
tcf(c_103393,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_100051]) ).
tcf(c_103394,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_100051]) ).
tcf(c_103395,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_100051]) ).
tcf(c_103396,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_100051]) ).
tcf(c_103397,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_100051]) ).
tcf(c_103410,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_100051,c_14924]) ).
tcf(c_103411,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_100051,c_14868]) ).
tcf(c_103413,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_100051,c_14924]) ).
tcf(c_103414,plain,
( ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c1) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_100051,c_582]) ).
tcf(c_103416,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_100051,c_5996]) ).
tcf(c_103418,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_100051,c_5958]) ).
tcf(c_103419,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_100051,c_2948]) ).
tcf(c_103522,plain,
( ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_103414,c_580]) ).
tcf(c_103632,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93673,c_101008]) ).
tcf(c_103633,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93672,c_101008]) ).
tcf(c_103634,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93671,c_101008]) ).
tcf(c_103635,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_93670,c_101008]) ).
tcf(c_103702,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c10,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101008,c_14924]) ).
tcf(c_103703,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c10),iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_101008,c_14868]) ).
tcf(c_103705,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_101008,c_14924]) ).
tcf(c_103706,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_101008,c_2927]) ).
tcf(c_103707,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_13,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_101008,c_2947]) ).
tcf(c_103710,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_103706,c_12170]) ).
tcf(c_103751,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_99528,c_101056]) ).
tcf(c_103755,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_34351,c_101056]) ).
tcf(c_103757,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_30942,c_101056]) ).
tcf(c_103758,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_30693,c_101056]) ).
tcf(c_103760,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_28896,c_101056]) ).
tcf(c_103763,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101056,c_14924]) ).
tcf(c_103764,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101056,c_14868]) ).
tcf(c_103765,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_101056,c_100]) ).
tcf(c_103766,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101056,c_14924]) ).
tcf(c_103769,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_101056,c_5123]) ).
tcf(c_103770,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_103764,c_53923]) ).
tcf(c_103791,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),X0) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_103766,c_15955]) ).
tcf(c_103794,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_103763,c_15984]) ).
tcf(c_103820,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_101216]) ).
tcf(c_103822,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78891,c_101216]) ).
tcf(c_103831,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_101216]) ).
tcf(c_103861,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_984,c_101216]) ).
tcf(c_103862,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_101216]) ).
tcf(c_103863,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_101216]) ).
tcf(c_103864,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_101216]) ).
tcf(c_103865,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_101216]) ).
tcf(c_103879,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101216,c_14924]) ).
tcf(c_103880,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_101216,c_14868]) ).
tcf(c_103882,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_101216,c_14924]) ).
tcf(c_103883,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(iPr_def_15) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_101216,c_582]) ).
tcf(c_103884,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_101216,c_53869]) ).
tcf(c_103913,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != sk_c2 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_103883,c_53942]) ).
tcf(c_104044,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_98717]) ).
tcf(c_104052,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_66049]) ).
tcf(c_104053,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_64852]) ).
tcf(c_104054,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_63672]) ).
tcf(c_104055,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_64248]) ).
tcf(c_104056,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_62965]) ).
tcf(c_104057,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_63377]) ).
tcf(c_104058,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_60525]) ).
tcf(c_104059,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_60801]) ).
tcf(c_104061,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_58944]) ).
tcf(c_104066,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_53951]) ).
tcf(c_104067,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_53950]) ).
tcf(c_104068,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_53949]) ).
tcf(c_104069,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_53948]) ).
tcf(c_104070,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_102477,c_53947]) ).
tcf(c_104077,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_44070]) ).
tcf(c_104078,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_43804]) ).
tcf(c_104079,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_102477,c_38079]) ).
tcf(c_104081,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_102477,c_38028]) ).
tcf(c_104089,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_4424]) ).
tcf(c_104092,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_3989]) ).
tcf(c_104093,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_3910]) ).
tcf(c_104094,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_102477,c_12170]) ).
tcf(c_104095,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_102477,c_2927]) ).
tcf(c_104096,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_2104]) ).
tcf(c_104097,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_2029]) ).
tcf(c_104098,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_1959]) ).
tcf(c_104099,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_1845]) ).
tcf(c_104100,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_1647]) ).
tcf(c_104101,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_1598]) ).
tcf(c_104102,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_1556]) ).
tcf(c_104103,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_1487]) ).
tcf(c_104110,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_102477,c_577]) ).
tcf(c_104111,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_102477,c_569]) ).
tcf(c_104152,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_104103,c_5612]) ).
tcf(c_104156,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_104102,c_5612]) ).
tcf(c_104160,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_104101,c_5612]) ).
tcf(c_104164,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_104100,c_5612]) ).
tcf(c_104183,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_104092,c_5612]) ).
tcf(c_104193,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_104077,c_5612]) ).
tcf(c_104260,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_102907,c_94567]) ).
tcf(c_104270,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_102907,c_26968]) ).
tcf(c_104271,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(iPr_def_20,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_102907,c_5372]) ).
tcf(c_104275,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_102907,c_4819]) ).
tcf(c_104279,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_20) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102907,c_5364]) ).
tcf(c_104367,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(iPr_def_18,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_102908,c_5372]) ).
tcf(c_104375,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102908,c_5364]) ).
tcf(c_104391,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_93115,c_6229]) ).
tcf(c_104392,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_91749,c_6229]) ).
tcf(c_104394,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_88667,c_6229]) ).
tcf(c_104395,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_87533,c_6229]) ).
tcf(c_104398,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_80257,c_6229]) ).
tcf(c_104417,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(sk_c1,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6229,c_14924]) ).
tcf(c_104418,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6229,c_14868]) ).
tcf(c_104419,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_6229,c_100]) ).
tcf(c_104420,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6229,c_14924]) ).
tcf(c_104421,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6229,c_53869]) ).
tcf(c_104440,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_15,multiply(sk_c1,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_104417,c_15984]) ).
tcf(c_104528,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101587,c_14924]) ).
tcf(c_104529,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101587,c_14868]) ).
tcf(c_104531,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101587,c_14924]) ).
tcf(c_104536,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101587,c_2948]) ).
tcf(c_104552,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101588,c_14924]) ).
tcf(c_104553,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101588,c_14868]) ).
tcf(c_104555,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101588,c_14924]) ).
tcf(c_104556,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101588,c_2946]) ).
tcf(c_104567,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_101731,c_101589]) ).
tcf(c_104568,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_101647,c_101589]) ).
tcf(c_104590,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101589,c_14924]) ).
tcf(c_104591,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101589,c_14868]) ).
tcf(c_104593,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_101589,c_14924]) ).
tcf(c_104594,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_101589,c_2924]) ).
tcf(c_104595,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_101589,c_2922]) ).
tcf(c_104601,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(light_normalisation,[status(thm)],[c_104595,c_10789]) ).
tcf(c_104604,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_14,iPr_def_13) ) ),
inference(light_normalisation,[status(thm)],[c_104594,c_11416]) ).
tcf(c_104717,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101705,c_14924]) ).
tcf(c_104721,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101705,c_39638]) ).
tcf(c_104798,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_101216]) ).
tcf(c_104800,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_100051]) ).
tcf(c_104801,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_103080,c_97312]) ).
tcf(c_104802,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_97285]) ).
tcf(c_104813,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_91797]) ).
tcf(c_104814,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_90858]) ).
tcf(c_104815,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_89211]) ).
tcf(c_104816,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_103080,c_89236]) ).
tcf(c_104817,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_87579]) ).
tcf(c_104818,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_86680]) ).
tcf(c_104828,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_66117]) ).
tcf(c_104831,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_64470]) ).
tcf(c_104833,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_63522]) ).
tcf(c_104834,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_60967]) ).
tcf(c_104838,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_60379]) ).
tcf(c_104840,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_58425]) ).
tcf(c_104842,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_57105]) ).
tcf(c_104847,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_48478]) ).
tcf(c_104852,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_103080,c_36127]) ).
tcf(c_104853,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_103080,c_36126]) ).
tcf(c_104854,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_103080,c_36125]) ).
tcf(c_104855,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_103080,c_36124]) ).
tcf(c_104856,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_103080,c_36123]) ).
tcf(c_104860,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_103080,c_34530]) ).
tcf(c_104861,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_103080,c_34527]) ).
tcf(c_104862,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_26788]) ).
tcf(c_104863,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_26546]) ).
tcf(c_104864,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_26422]) ).
tcf(c_104865,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_25284]) ).
tcf(c_104867,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_24883]) ).
tcf(c_104868,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_26791]) ).
tcf(c_104869,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_26547]) ).
tcf(c_104870,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_26421]) ).
tcf(c_104871,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_25282]) ).
tcf(c_104873,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_103080,c_2927]) ).
tcf(c_104874,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_103080,c_2926]) ).
tcf(c_104885,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_1139]) ).
tcf(c_104888,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_1132]) ).
tcf(c_104889,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_1125]) ).
tcf(c_104890,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_1082]) ).
tcf(c_104891,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_1081]) ).
tcf(c_104892,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_1080]) ).
tcf(c_104893,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_1079]) ).
tcf(c_104894,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_103080,c_2947]) ).
tcf(c_104895,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_2098]) ).
tcf(c_104896,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_2024]) ).
tcf(c_104897,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_1955]) ).
tcf(c_104898,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_1901]) ).
tcf(c_104899,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_1842]) ).
tcf(c_104901,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_103080,c_1526]) ).
tcf(c_104909,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_931]) ).
tcf(c_104920,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_103080,c_1103]) ).
tcf(c_104921,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103080,c_578]) ).
tcf(c_104922,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_577]) ).
tcf(c_104924,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_103080,c_567]) ).
tcf(c_104936,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_104922,c_12170]) ).
tcf(c_104941,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c3 = identity ) ),
inference(light_normalisation,[status(thm)],[c_104920,c_5374]) ).
tcf(c_104977,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_104894,c_5564]) ).
tcf(c_105041,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(sk_c3,X0)) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_104873,c_12178]) ).
tcf(c_105562,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_103103,c_15984]) ).
tcf(c_105563,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_25) = X0 ) ),
inference(superposition,[status(thm)],[c_103103,c_15955]) ).
tcf(c_105565,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_103103,c_98]) ).
tcf(c_105603,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_104061,c_6229]) ).
tcf(c_105604,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104061,c_100051]) ).
tcf(c_105605,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104061,c_6228]) ).
tcf(c_105611,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_104061,c_5997]) ).
tcf(c_105612,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104061,c_5996]) ).
tcf(c_105619,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_76111]) ).
tcf(c_105626,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104061,c_66117]) ).
tcf(c_105627,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104061,c_64314]) ).
tcf(c_105628,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104061,c_63442]) ).
tcf(c_105630,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104061,c_60865]) ).
tcf(c_105639,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_44213]) ).
tcf(c_105650,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_3816]) ).
tcf(c_105652,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_104061,c_2925]) ).
tcf(c_105654,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_1705]) ).
tcf(c_105655,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_1357]) ).
tcf(c_105656,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_1327]) ).
tcf(c_105657,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_1303]) ).
tcf(c_105658,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_1279]) ).
tcf(c_105659,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_1201]) ).
tcf(c_105661,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104061,c_2948]) ).
tcf(c_105662,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_104061,c_1102]) ).
tcf(c_105663,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_579]) ).
tcf(c_105664,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_104061,c_580]) ).
tcf(c_105751,plain,
( ( inverse(sk_c6) = iPr_def_19 )
| ( iPr_def_19 != sk_c8 )
| ( inverse(sk_c6) != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_71350]) ).
tcf(c_105778,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_104070,c_96784]) ).
tcf(c_105787,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_104070,c_5935]) ).
tcf(c_105788,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104070,c_64852]) ).
tcf(c_105789,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_64851]) ).
tcf(c_105790,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104070,c_63672]) ).
tcf(c_105791,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_63671]) ).
tcf(c_105792,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104070,c_62965]) ).
tcf(c_105793,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_62964]) ).
tcf(c_105794,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104070,c_60525]) ).
tcf(c_105795,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_60524]) ).
tcf(c_105800,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104070,c_43804]) ).
tcf(c_105801,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_43803]) ).
tcf(c_105803,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104070,c_5378]) ).
tcf(c_105804,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_38237]) ).
tcf(c_105805,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_37963]) ).
tcf(c_105806,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_37836]) ).
tcf(c_105807,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_37425]) ).
tcf(c_105808,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104070,c_5394]) ).
tcf(c_105809,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104070,c_5393]) ).
tcf(c_105810,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104070,c_5392]) ).
tcf(c_105811,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104070,c_5391]) ).
tcf(c_105812,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104070,c_23565]) ).
tcf(c_105813,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_104070,c_23929]) ).
tcf(c_105814,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_104070,c_23562]) ).
tcf(c_105822,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_104070,c_5615]) ).
tcf(c_105823,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104070,c_4424]) ).
tcf(c_105824,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_4423]) ).
tcf(c_105825,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_104070,c_4422]) ).
tcf(c_105830,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_7255]) ).
tcf(c_105831,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_7180]) ).
tcf(c_105832,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_6849]) ).
tcf(c_105833,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_6425]) ).
tcf(c_105834,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104070,c_2104]) ).
tcf(c_105835,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_2103]) ).
tcf(c_105836,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_104070,c_2102]) ).
tcf(c_105837,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104070,c_2029]) ).
tcf(c_105838,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_2028]) ).
tcf(c_105839,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_104070,c_2027]) ).
tcf(c_105840,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104070,c_1959]) ).
tcf(c_105841,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_1958]) ).
tcf(c_105842,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_104070,c_1957]) ).
tcf(c_105843,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104070,c_1845]) ).
tcf(c_105844,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104070,c_1844]) ).
tcf(c_105845,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_104070,c_1843]) ).
tcf(c_105848,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104070,c_4975]) ).
tcf(c_105849,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104070,c_4794]) ).
tcf(c_105850,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104070,c_4792]) ).
tcf(c_105851,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104070,c_4507]) ).
tcf(c_105853,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104070,c_4407]) ).
tcf(c_105856,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_104070,c_5612]) ).
tcf(c_105857,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104070,c_2948]) ).
tcf(c_105858,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_104070,c_1102]) ).
tcf(c_105861,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_105813,c_35515]) ).
tcf(c_106284,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_98646,c_6249]) ).
tcf(c_106285,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_93101,c_6249]) ).
tcf(c_106286,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_88652,c_6249]) ).
tcf(c_106287,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_86151,c_6249]) ).
tcf(c_106292,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27656,c_6249]) ).
tcf(c_106302,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_16277,c_6249]) ).
tcf(c_106306,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_25,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6249,c_14924]) ).
tcf(c_106307,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6249,c_14868]) ).
tcf(c_106309,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,sk_c9)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6249,c_14924]) ).
tcf(c_106317,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = multiply(iPr_def_26,sk_c9) ) ),
inference(superposition,[status(thm)],[c_6249,c_5615]) ).
tcf(c_106371,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_13) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c10 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_104924,c_584]) ).
tcf(c_106385,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45401,c_101706]) ).
tcf(c_106389,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101706,c_14924]) ).
tcf(c_106390,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_101706,c_14868]) ).
tcf(c_106392,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_101706,c_14924]) ).
tcf(c_106393,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_101706,c_2944]) ).
tcf(c_106407,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c5,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101790,c_14924]) ).
tcf(c_106408,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_101790,c_14868]) ).
tcf(c_106410,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_101790,c_14924]) ).
tcf(c_106411,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_101790,c_2945]) ).
tcf(c_106450,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101791,c_14924]) ).
tcf(c_106457,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101791,c_49266]) ).
tcf(c_106519,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104898,c_104070]) ).
tcf(c_106523,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_91797]) ).
tcf(c_106526,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_87579]) ).
tcf(c_106532,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_104898,c_5935]) ).
tcf(c_106533,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_64852]) ).
tcf(c_106535,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_63672]) ).
tcf(c_106537,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_62965]) ).
tcf(c_106539,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_60525]) ).
tcf(c_106541,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_58624]) ).
tcf(c_106543,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_57354]) ).
tcf(c_106545,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_43804]) ).
tcf(c_106546,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104898,c_43803]) ).
tcf(c_106553,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104898,c_5394]) ).
tcf(c_106554,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104898,c_5393]) ).
tcf(c_106555,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104898,c_5392]) ).
tcf(c_106556,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104898,c_5391]) ).
tcf(c_106557,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104898,c_23565]) ).
tcf(c_106558,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_24) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_104898,c_23929]) ).
tcf(c_106559,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_104898,c_23562]) ).
tcf(c_106567,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_104898,c_5615]) ).
tcf(c_106571,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_4098]) ).
tcf(c_106578,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_2104]) ).
tcf(c_106579,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104898,c_2103]) ).
tcf(c_106580,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_104898,c_2102]) ).
tcf(c_106581,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_2029]) ).
tcf(c_106582,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104898,c_2028]) ).
tcf(c_106583,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_104898,c_2027]) ).
tcf(c_106584,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_1959]) ).
tcf(c_106585,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104898,c_1958]) ).
tcf(c_106586,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_104898,c_1957]) ).
tcf(c_106587,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_1845]) ).
tcf(c_106588,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104898,c_1844]) ).
tcf(c_106589,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_104898,c_1843]) ).
tcf(c_106590,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104898,c_4978]) ).
tcf(c_106591,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104898,c_4976]) ).
tcf(c_106592,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104898,c_4975]) ).
tcf(c_106593,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104898,c_4794]) ).
tcf(c_106594,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104898,c_4792]) ).
tcf(c_106595,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104898,c_4507]) ).
tcf(c_106600,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_104898,c_5612]) ).
tcf(c_106601,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104898,c_2948]) ).
tcf(c_106602,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_104898,c_1102]) ).
tcf(c_106642,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_106587,c_12170]) ).
tcf(c_106650,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_106584,c_12170]) ).
tcf(c_106658,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_106581,c_12170]) ).
tcf(c_106666,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_106578,c_12170]) ).
tcf(c_106676,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_106545,c_12170]) ).
tcf(c_106692,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106556,c_5564]) ).
tcf(c_106696,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106555,c_5564]) ).
tcf(c_106700,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106554,c_5564]) ).
tcf(c_106704,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106553,c_5564]) ).
tcf(c_106757,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_104901,c_6227]) ).
tcf(c_106764,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_24) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_104901,c_5995]) ).
tcf(c_106784,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104901,c_35337]) ).
tcf(c_106785,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104901,c_34934]) ).
tcf(c_106786,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104901,c_48478]) ).
tcf(c_106790,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104901,c_35573]) ).
tcf(c_106791,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104901,c_35572]) ).
tcf(c_106792,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_104901,c_44072]) ).
tcf(c_106798,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_24,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_104901,c_34641]) ).
tcf(c_106799,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_104901,c_34640]) ).
tcf(c_106800,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_104901,c_34639]) ).
tcf(c_106801,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_104901,c_34638]) ).
tcf(c_106802,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104901,c_34158]) ).
tcf(c_106804,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104901,c_26788]) ).
tcf(c_106805,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104901,c_26546]) ).
tcf(c_106806,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104901,c_26422]) ).
tcf(c_106807,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104901,c_25284]) ).
tcf(c_106808,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104901,c_27658]) ).
tcf(c_106809,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104901,c_27657]) ).
tcf(c_106810,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104901,c_27656]) ).
tcf(c_106812,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104901,c_24883]) ).
tcf(c_106817,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104901,c_27277]) ).
tcf(c_106818,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104901,c_27276]) ).
tcf(c_106819,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_104901,c_26916]) ).
tcf(c_106827,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_24,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_104901,c_5615]) ).
tcf(c_106853,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_104901,c_1649]) ).
tcf(c_106854,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_104901,c_1600]) ).
tcf(c_106855,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_104901,c_1558]) ).
tcf(c_106856,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_104901,c_1489]) ).
tcf(c_106858,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_104901,c_5612]) ).
tcf(c_107498,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_104909,c_75799]) ).
tcf(c_107499,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_104909,c_75798]) ).
tcf(c_107500,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_104909,c_75797]) ).
tcf(c_107501,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_104909,c_75796]) ).
tcf(c_107502,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_104909,c_75795]) ).
tcf(c_107508,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_104909,c_44215]) ).
tcf(c_107509,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_104909,c_44214]) ).
tcf(c_107510,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104909,c_44213]) ).
tcf(c_107512,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_104909,c_17515]) ).
tcf(c_107514,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_104909,c_5564]) ).
tcf(c_107515,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_104909,c_3818]) ).
tcf(c_107516,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_104909,c_3817]) ).
tcf(c_107517,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104909,c_3816]) ).
tcf(c_107521,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_104909,c_12170]) ).
tcf(c_107523,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_104909,c_1359]) ).
tcf(c_107524,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_104909,c_1358]) ).
tcf(c_107525,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104909,c_1357]) ).
tcf(c_107526,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_104909,c_1329]) ).
tcf(c_107527,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_104909,c_1328]) ).
tcf(c_107528,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104909,c_1327]) ).
tcf(c_107529,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_104909,c_1305]) ).
tcf(c_107530,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_104909,c_1304]) ).
tcf(c_107531,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104909,c_1303]) ).
tcf(c_107532,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_104909,c_1281]) ).
tcf(c_107533,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_104909,c_1280]) ).
tcf(c_107534,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104909,c_1279]) ).
tcf(c_107535,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_104909,c_1203]) ).
tcf(c_107536,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_104909,c_1202]) ).
tcf(c_107537,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104909,c_1201]) ).
tcf(c_107538,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_104909,c_5374]) ).
tcf(c_107551,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = identity ) ),
inference(light_normalisation,[status(thm)],[c_107521,c_53866]) ).
tcf(c_107599,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),X0) = multiply(sk_c3,X0) ) ),
inference(light_normalisation,[status(thm)],[c_107514,c_54518]) ).
tcf(c_107751,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_93675]) ).
tcf(c_107752,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_104941,c_92503]) ).
tcf(c_107762,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_44428]) ).
tcf(c_107763,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_44069]) ).
tcf(c_107764,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_43803]) ).
tcf(c_107777,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104941,c_16805]) ).
tcf(c_107778,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_11139]) ).
tcf(c_107782,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_4423]) ).
tcf(c_107785,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_3988]) ).
tcf(c_107793,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(identity,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_104941,c_2926]) ).
tcf(c_107794,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_2793]) ).
tcf(c_107796,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_2103]) ).
tcf(c_107797,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_2028]) ).
tcf(c_107798,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_1958]) ).
tcf(c_107799,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_1844]) ).
tcf(c_107800,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_1646]) ).
tcf(c_107801,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_1597]) ).
tcf(c_107802,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_1555]) ).
tcf(c_107803,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_1486]) ).
tcf(c_107819,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_578]) ).
tcf(c_107859,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_107793,c_98]) ).
tcf(c_107898,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93101,c_6250]) ).
tcf(c_107899,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88652,c_6250]) ).
tcf(c_107900,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_6250]) ).
tcf(c_107905,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27656,c_6250]) ).
tcf(c_107923,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1705,c_6250]) ).
tcf(c_107928,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1357,c_6250]) ).
tcf(c_107933,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23562,c_6250]) ).
tcf(c_107935,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_100051,c_6250]) ).
tcf(c_107939,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_64314,c_6250]) ).
tcf(c_107946,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_23565,c_6250]) ).
tcf(c_107948,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104061,c_6250]) ).
tcf(c_107949,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_101168,c_6250]) ).
tcf(c_107950,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93115,c_6250]) ).
tcf(c_107951,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91749,c_6250]) ).
tcf(c_107952,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_90811,c_6250]) ).
tcf(c_107953,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88667,c_6250]) ).
tcf(c_107954,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87533,c_6250]) ).
tcf(c_107955,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86635,c_6250]) ).
tcf(c_107958,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77042,c_6250]) ).
tcf(c_107963,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_64271,c_6250]) ).
tcf(c_107976,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(sk_c1,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6250,c_14924]) ).
tcf(c_107978,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6250,c_100]) ).
tcf(c_107979,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(sk_c1,X1) ) ),
inference(superposition,[status(thm)],[c_6250,c_14924]) ).
tcf(c_107980,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_25,sk_c1)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6250,c_14924]) ).
tcf(c_107988,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c9,multiply(sk_c1,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_6250,c_5615]) ).
tcf(c_108012,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_107978,c_23561,c_23929]) ).
tcf(c_108051,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(sk_c1,multiply(X0,X1)))) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_107976,c_23561,c_23929]) ).
tcf(c_108592,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45401,c_101792]) ).
tcf(c_108596,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c7,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_101792,c_14924]) ).
tcf(c_108597,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_101792,c_14868]) ).
tcf(c_108599,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_101792,c_14924]) ).
tcf(c_108600,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_101792,c_2944]) ).
tcf(c_108614,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101909,c_102475]) ).
tcf(c_108620,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_102475]) ).
tcf(c_108621,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_102475]) ).
tcf(c_108622,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_102475]) ).
tcf(c_108642,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_102475,c_14924]) ).
tcf(c_108643,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102475,c_14868]) ).
tcf(c_108645,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102475,c_14924]) ).
tcf(c_108646,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102475,c_53869]) ).
tcf(c_108709,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104061,c_103089]) ).
tcf(c_108738,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_97285,c_103089]) ).
tcf(c_108747,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_92509,c_103089]) ).
tcf(c_108748,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89211,c_103089]) ).
tcf(c_108750,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77463,c_103089]) ).
tcf(c_108752,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64470,c_103089]) ).
tcf(c_108753,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63522,c_103089]) ).
tcf(c_108754,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60967,c_103089]) ).
tcf(c_108755,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60379,c_103089]) ).
tcf(c_108756,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58425,c_103089]) ).
tcf(c_108757,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_57105,c_103089]) ).
tcf(c_108759,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39649,c_103089]) ).
tcf(c_108760,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39648,c_103089]) ).
tcf(c_108781,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1901,c_103089]) ).
tcf(c_108784,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1526,c_103089]) ).
tcf(c_108794,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_629,c_103089]) ).
tcf(c_108795,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_628,c_103089]) ).
tcf(c_108796,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_627,c_103089]) ).
tcf(c_108797,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_625,c_103089]) ).
tcf(c_108798,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_103089]) ).
tcf(c_108799,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_103089]) ).
tcf(c_108800,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_103089]) ).
tcf(c_108801,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_103089]) ).
tcf(c_108806,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_103089,c_14924]) ).
tcf(c_108807,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_25) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_103089,c_14868]) ).
tcf(c_108809,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_103089,c_14924]) ).
tcf(c_108812,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_103089,c_6228]) ).
tcf(c_108813,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_103089,c_5996]) ).
tcf(c_108816,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_103089,c_2948]) ).
tcf(c_108928,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_97285,c_103090]) ).
tcf(c_108937,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_92509,c_103090]) ).
tcf(c_108938,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_89211,c_103090]) ).
tcf(c_108940,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_77463,c_103090]) ).
tcf(c_108949,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39649,c_103090]) ).
tcf(c_108950,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_39648,c_103090]) ).
tcf(c_108971,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1901,c_103090]) ).
tcf(c_108974,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1526,c_103090]) ).
tcf(c_108984,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_629,c_103090]) ).
tcf(c_108985,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_628,c_103090]) ).
tcf(c_108986,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_627,c_103090]) ).
tcf(c_108987,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_625,c_103090]) ).
tcf(c_108988,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_620,c_103090]) ).
tcf(c_108989,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_619,c_103090]) ).
tcf(c_108990,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_618,c_103090]) ).
tcf(c_108991,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_616,c_103090]) ).
tcf(c_108996,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_103090,c_14924]) ).
tcf(c_108997,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_21) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_103090,c_14868]) ).
tcf(c_108999,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_103090,c_14924]) ).
tcf(c_109001,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_21) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_103090,c_2946]) ).
tcf(c_109124,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_105848,c_6250]) ).
tcf(c_109126,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105848,c_6249]) ).
tcf(c_109127,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105848,c_6227]) ).
tcf(c_109129,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_105848,c_5997]) ).
tcf(c_109131,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_105848,c_5996]) ).
tcf(c_109132,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105848,c_5995]) ).
tcf(c_109138,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_105848,c_76389]) ).
tcf(c_109144,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_105848,c_23963]) ).
tcf(c_109145,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_105848,c_23961]) ).
tcf(c_109146,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_105848,c_23960]) ).
tcf(c_109147,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_105848,c_23959]) ).
tcf(c_109153,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_105848,c_48478]) ).
tcf(c_109159,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_105848,c_44072]) ).
tcf(c_109171,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_105848,c_26788]) ).
tcf(c_109172,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_105848,c_26546]) ).
tcf(c_109173,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_105848,c_26422]) ).
tcf(c_109174,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_105848,c_25284]) ).
tcf(c_109176,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_105848,c_27657]) ).
tcf(c_109177,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_105848,c_27656]) ).
tcf(c_109178,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_105848,c_25055]) ).
tcf(c_109179,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_105848,c_24883]) ).
tcf(c_109185,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_105848,c_27276]) ).
tcf(c_109186,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_105848,c_26916]) ).
tcf(c_109194,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_105848,c_5615]) ).
tcf(c_109218,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_105848,c_3991]) ).
tcf(c_109221,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_105848,c_1649]) ).
tcf(c_109222,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_105848,c_1600]) ).
tcf(c_109223,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_105848,c_1558]) ).
tcf(c_109224,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_105848,c_1489]) ).
tcf(c_109226,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105848,c_5612]) ).
tcf(c_109240,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_109224,c_35515]) ).
tcf(c_109244,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_109223,c_35515]) ).
tcf(c_109248,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_109222,c_35515]) ).
tcf(c_109252,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_109221,c_35515]) ).
tcf(c_109256,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_109218,c_35515]) ).
tcf(c_109260,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_109159,c_35515]) ).
tcf(c_109264,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_109147,c_35515]) ).
tcf(c_109268,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_109146,c_35515]) ).
tcf(c_109272,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_109145,c_35515]) ).
tcf(c_109276,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_109144,c_35515]) ).
tcf(c_109283,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_109179,c_34527]) ).
tcf(c_109288,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_109174,c_34527]) ).
tcf(c_109292,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_109173,c_34527]) ).
tcf(c_109296,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_109172,c_34527]) ).
tcf(c_109300,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_109171,c_34527]) ).
tcf(c_109304,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_109153,c_34527]) ).
tcf(c_109791,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105861,c_103089]) ).
tcf(c_109792,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_105861,c_6250]) ).
tcf(c_109795,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_105861,c_6229]) ).
tcf(c_109796,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_105861,c_100051]) ).
tcf(c_109797,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_105861,c_6228]) ).
tcf(c_109803,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_105861,c_5997]) ).
tcf(c_109804,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_105861,c_5996]) ).
tcf(c_109818,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_105861,c_66117]) ).
tcf(c_109819,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_105861,c_64314]) ).
tcf(c_109820,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_105861,c_63442]) ).
tcf(c_109821,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_105861,c_64271]) ).
tcf(c_109822,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_105861,c_60865]) ).
tcf(c_109823,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_105861,c_63400]) ).
tcf(c_109824,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_105861,c_59007]) ).
tcf(c_109825,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_105861,c_60824]) ).
tcf(c_109826,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_105861,c_58967]) ).
tcf(c_109831,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105861,c_44213]) ).
tcf(c_109840,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_105861,c_23565]) ).
tcf(c_109841,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_105861,c_23562]) ).
tcf(c_109842,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105861,c_3816]) ).
tcf(c_109844,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_105861,c_2925]) ).
tcf(c_109846,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105861,c_1705]) ).
tcf(c_109847,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105861,c_1357]) ).
tcf(c_109848,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105861,c_1327]) ).
tcf(c_109849,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105861,c_1303]) ).
tcf(c_109850,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105861,c_1279]) ).
tcf(c_109851,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105861,c_1201]) ).
tcf(c_109853,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_105861,c_2948]) ).
tcf(c_109854,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_105861,c_1102]) ).
tcf(c_109855,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105861,c_579]) ).
tcf(c_109856,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_105861,c_580]) ).
tcf(c_109896,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_25 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_109846,c_34527]) ).
tcf(c_110070,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_106802,c_75799]) ).
tcf(c_110071,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_106802,c_75798]) ).
tcf(c_110072,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_106802,c_75797]) ).
tcf(c_110073,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_106802,c_75796]) ).
tcf(c_110074,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_106802,c_75795]) ).
tcf(c_110080,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_106802,c_44215]) ).
tcf(c_110081,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_106802,c_44214]) ).
tcf(c_110082,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_106802,c_44213]) ).
tcf(c_110083,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_106802,c_17515]) ).
tcf(c_110085,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_106802,c_5564]) ).
tcf(c_110086,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_106802,c_3818]) ).
tcf(c_110087,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_106802,c_3817]) ).
tcf(c_110088,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_106802,c_3816]) ).
tcf(c_110092,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_106802,c_12170]) ).
tcf(c_110095,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_106802,c_1359]) ).
tcf(c_110096,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_106802,c_1358]) ).
tcf(c_110097,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_106802,c_1357]) ).
tcf(c_110098,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_106802,c_1329]) ).
tcf(c_110099,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_106802,c_1328]) ).
tcf(c_110100,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_106802,c_1327]) ).
tcf(c_110101,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_106802,c_1305]) ).
tcf(c_110102,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_106802,c_1304]) ).
tcf(c_110103,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_106802,c_1303]) ).
tcf(c_110104,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_106802,c_1281]) ).
tcf(c_110105,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_106802,c_1280]) ).
tcf(c_110106,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_106802,c_1279]) ).
tcf(c_110107,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_106802,c_1203]) ).
tcf(c_110108,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_106802,c_1202]) ).
tcf(c_110109,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_106802,c_1201]) ).
tcf(c_110110,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_106802,c_5374]) ).
tcf(c_110461,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_109186,c_101056]) ).
tcf(c_110462,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_109186,c_50060]) ).
tcf(c_110470,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_109186,c_80317]) ).
tcf(c_110473,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_109186,c_54058]) ).
tcf(c_110474,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_109186,c_38079]) ).
tcf(c_110475,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_13),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_109186,c_38028]) ).
tcf(c_110476,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_109186,c_38018]) ).
tcf(c_110487,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_109186,c_5123]) ).
tcf(c_110489,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_7259]) ).
tcf(c_110490,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_7255]) ).
tcf(c_110491,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_7184]) ).
tcf(c_110492,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_7180]) ).
tcf(c_110493,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_6853]) ).
tcf(c_110494,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_6849]) ).
tcf(c_110495,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_6429]) ).
tcf(c_110496,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_6425]) ).
tcf(c_110497,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_1139]) ).
tcf(c_110500,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_1082]) ).
tcf(c_110502,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109186,c_1080]) ).
tcf(c_110504,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_109186,c_5120]) ).
tcf(c_110512,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,sk_c2) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_110475,c_35515]) ).
tcf(c_110516,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_110502,c_34527]) ).
tcf(c_110520,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_110500,c_34527]) ).
tcf(c_110524,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_110497,c_34527]) ).
tcf(c_110557,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_110474,c_35515]) ).
tcf(c_110636,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_105848,c_6251]) ).
tcf(c_110639,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_93101,c_6251]) ).
tcf(c_110640,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_88652,c_6251]) ).
tcf(c_110641,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_6251]) ).
tcf(c_110646,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_27656,c_6251]) ).
tcf(c_110660,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_105861,c_6251]) ).
tcf(c_110661,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_104061,c_6251]) ).
tcf(c_110662,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_101168,c_6251]) ).
tcf(c_110663,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_93115,c_6251]) ).
tcf(c_110664,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_91749,c_6251]) ).
tcf(c_110665,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_90811,c_6251]) ).
tcf(c_110666,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_88667,c_6251]) ).
tcf(c_110667,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_87533,c_6251]) ).
tcf(c_110668,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_86635,c_6251]) ).
tcf(c_110676,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_64271,c_6251]) ).
tcf(c_110689,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(sk_c1,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6251,c_14924]) ).
tcf(c_110690,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6251,c_14868]) ).
tcf(c_110691,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_6251,c_100]) ).
tcf(c_110692,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6251,c_14924]) ).
tcf(c_110700,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c9,sk_c1) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_6251,c_5615]) ).
tcf(c_110749,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_110692,c_15955]) ).
tcf(c_110752,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_25,multiply(sk_c1,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_110689,c_15984]) ).
tcf(c_110845,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_97285,c_103091]) ).
tcf(c_110854,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_92509,c_103091]) ).
tcf(c_110855,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_89211,c_103091]) ).
tcf(c_110857,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_77463,c_103091]) ).
tcf(c_110866,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_39649,c_103091]) ).
tcf(c_110867,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_39648,c_103091]) ).
tcf(c_110888,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1901,c_103091]) ).
tcf(c_110891,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1526,c_103091]) ).
tcf(c_110901,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_629,c_103091]) ).
tcf(c_110902,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_628,c_103091]) ).
tcf(c_110903,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_627,c_103091]) ).
tcf(c_110904,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_625,c_103091]) ).
tcf(c_110905,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_620,c_103091]) ).
tcf(c_110906,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_619,c_103091]) ).
tcf(c_110907,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_618,c_103091]) ).
tcf(c_110908,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_616,c_103091]) ).
tcf(c_110913,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_103091,c_14924]) ).
tcf(c_110914,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_18) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_103091,c_14868]) ).
tcf(c_110916,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_103091,c_14924]) ).
tcf(c_110918,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,sk_c10) ) ),
inference(superposition,[status(thm)],[c_103091,c_2924]) ).
tcf(c_110919,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,sk_c10) ) ),
inference(superposition,[status(thm)],[c_103091,c_2922]) ).
tcf(c_110925,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c10) = multiply(iPr_def_20,sk_c9) ) ),
inference(light_normalisation,[status(thm)],[c_110919,c_10789]) ).
tcf(c_110928,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c10) = multiply(iPr_def_14,sk_c9) ) ),
inference(light_normalisation,[status(thm)],[c_110918,c_11416]) ).
tcf(c_111018,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_104110]) ).
tcf(c_111023,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_104110]) ).
tcf(c_111035,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4975,c_104110]) ).
tcf(c_111036,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4794,c_104110]) ).
tcf(c_111037,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4792,c_104110]) ).
tcf(c_111038,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_104110]) ).
tcf(c_111040,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4407,c_104110]) ).
tcf(c_111043,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_104110]) ).
tcf(c_111053,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_104110]) ).
tcf(c_111064,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_104110]) ).
tcf(c_111094,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_984,c_104110]) ).
tcf(c_111095,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_104110]) ).
tcf(c_111096,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_104110]) ).
tcf(c_111097,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_104110]) ).
tcf(c_111098,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_104110]) ).
tcf(c_111112,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_104110,c_14924]) ).
tcf(c_111113,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_104110,c_14868]) ).
tcf(c_111115,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_104110,c_14924]) ).
tcf(c_111116,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(iPr_def_26) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_104110,c_582]) ).
tcf(c_111118,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_104110,c_5378]) ).
tcf(c_111119,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_104110,c_5394]) ).
tcf(c_111120,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_104110,c_5393]) ).
tcf(c_111121,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_104110,c_5392]) ).
tcf(c_111122,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_104110,c_5391]) ).
tcf(c_111123,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_104110,c_23565]) ).
tcf(c_111189,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c1 != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_111116,c_23929]) ).
tcf(c_111269,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_104909,c_104921]) ).
tcf(c_111273,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104941,c_104921]) ).
tcf(c_111302,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_24,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_104921,c_14924]) ).
tcf(c_111303,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_104921,c_14868]) ).
tcf(c_111305,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_24)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_104921,c_14924]) ).
tcf(c_111306,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,sk_c3) = multiply(iPr_def_13,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_104921,c_5564]) ).
tcf(c_111311,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,sk_c3) = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_111306,c_5374]) ).
tcf(c_111360,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_109186,c_104936]) ).
tcf(c_111361,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_104936]) ).
tcf(c_111362,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93962,c_104936]) ).
tcf(c_111363,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88905,c_104936]) ).
tcf(c_111373,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104941,c_104936]) ).
tcf(c_111378,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_47046,c_104936]) ).
tcf(c_111380,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24768,c_104936]) ).
tcf(c_111381,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24523,c_104936]) ).
tcf(c_111382,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24480,c_104936]) ).
tcf(c_111383,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24436,c_104936]) ).
tcf(c_111385,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24222,c_104936]) ).
tcf(c_111395,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_603,c_104936]) ).
tcf(c_111396,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_602,c_104936]) ).
tcf(c_111397,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_601,c_104936]) ).
tcf(c_111398,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_600,c_104936]) ).
tcf(c_111399,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_599,c_104936]) ).
tcf(c_111400,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_598,c_104936]) ).
tcf(c_111401,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_596,c_104936]) ).
tcf(c_111402,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,multiply(sk_c3,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_104936,c_14924]) ).
tcf(c_111403,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_104936,c_14868]) ).
tcf(c_111405,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_23)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_104936,c_14924]) ).
tcf(c_111406,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104936,c_54058]) ).
tcf(c_111408,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c3) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_104936,c_5123]) ).
tcf(c_111654,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_104110]) ).
tcf(c_111655,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_109826,c_103091]) ).
tcf(c_111656,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_109826,c_103090]) ).
tcf(c_111657,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_109826,c_103089]) ).
tcf(c_111659,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_101216]) ).
tcf(c_111661,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_100051]) ).
tcf(c_111686,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_66117]) ).
tcf(c_111687,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_64314]) ).
tcf(c_111688,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_63442]) ).
tcf(c_111690,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_60865]) ).
tcf(c_111693,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_59007]) ).
tcf(c_111694,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_109826,c_12073]) ).
tcf(c_111695,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_109826,c_61092]) ).
tcf(c_111705,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109826,c_48478]) ).
tcf(c_111714,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109826,c_36123]) ).
tcf(c_111715,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_109826,c_36122]) ).
tcf(c_111720,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109826,c_26788]) ).
tcf(c_111721,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109826,c_26546]) ).
tcf(c_111722,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109826,c_26422]) ).
tcf(c_111723,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109826,c_25284]) ).
tcf(c_111725,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109826,c_24883]) ).
tcf(c_111731,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_109826,c_2927]) ).
tcf(c_111732,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_109826,c_2926]) ).
tcf(c_111744,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109826,c_1139]) ).
tcf(c_111749,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109826,c_1082]) ).
tcf(c_111751,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_109826,c_1080]) ).
tcf(c_111753,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_109826,c_2947]) ).
tcf(c_111770,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_109826,c_582]) ).
tcf(c_111782,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_109826,c_593]) ).
tcf(c_111784,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_109826,c_592]) ).
tcf(c_111785,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_109826,c_591]) ).
tcf(c_111786,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_109826,c_589]) ).
tcf(c_112143,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_109186,c_52552]) ).
tcf(c_112144,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_52552]) ).
tcf(c_112145,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93962,c_52552]) ).
tcf(c_112146,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88905,c_52552]) ).
tcf(c_112147,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67817,c_52552]) ).
tcf(c_112148,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_34351,c_52552]) ).
tcf(c_112150,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30942,c_52552]) ).
tcf(c_112151,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30693,c_52552]) ).
tcf(c_112153,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28896,c_52552]) ).
tcf(c_112156,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_52552,c_14868]) ).
tcf(c_112157,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_52552,c_99]) ).
tcf(c_112158,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_52552,c_584]) ).
tcf(c_112159,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_52552,c_34349]) ).
tcf(c_112162,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_52552,c_38079]) ).
tcf(c_112163,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_52552,c_38028]) ).
tcf(c_112164,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_112150,c_53942]) ).
tcf(c_112177,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_112151,c_53942]) ).
tcf(c_112181,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_112148,c_53942]) ).
tcf(c_112188,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_112144,c_53942]) ).
tcf(c_112238,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112164,c_98717]) ).
tcf(c_112247,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112164,c_66049]) ).
tcf(c_112248,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_64852]) ).
tcf(c_112250,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112164,c_64248]) ).
tcf(c_112251,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_62965]) ).
tcf(c_112254,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112164,c_60801]) ).
tcf(c_112260,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112164,c_53951]) ).
tcf(c_112271,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_44070]) ).
tcf(c_112272,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_43804]) ).
tcf(c_112273,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_112164,c_38079]) ).
tcf(c_112275,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_112164,c_38028]) ).
tcf(c_112283,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_4424]) ).
tcf(c_112286,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_3989]) ).
tcf(c_112288,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_112164,c_12170]) ).
tcf(c_112289,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_112164,c_2927]) ).
tcf(c_112290,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_2104]) ).
tcf(c_112291,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_2029]) ).
tcf(c_112292,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_1959]) ).
tcf(c_112293,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_1845]) ).
tcf(c_112294,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_1647]) ).
tcf(c_112295,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_1598]) ).
tcf(c_112296,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_1556]) ).
tcf(c_112297,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_1487]) ).
tcf(c_112302,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112164,c_2942]) ).
tcf(c_112303,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_112164,c_1108]) ).
tcf(c_112304,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112164,c_577]) ).
tcf(c_112477,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_112254,c_6251]) ).
tcf(c_112479,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112254,c_103089]) ).
tcf(c_112480,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112254,c_6250]) ).
tcf(c_112483,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_112254,c_6229]) ).
tcf(c_112484,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112254,c_100051]) ).
tcf(c_112485,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112254,c_6228]) ).
tcf(c_112490,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_112254,c_5997]) ).
tcf(c_112491,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112254,c_5996]) ).
tcf(c_112505,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112254,c_66117]) ).
tcf(c_112506,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112254,c_64314]) ).
tcf(c_112518,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112254,c_44213]) ).
tcf(c_112527,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112254,c_23565]) ).
tcf(c_112528,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_112254,c_23562]) ).
tcf(c_112529,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112254,c_3816]) ).
tcf(c_112531,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_112254,c_2925]) ).
tcf(c_112533,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112254,c_1705]) ).
tcf(c_112534,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112254,c_1357]) ).
tcf(c_112535,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112254,c_1327]) ).
tcf(c_112536,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112254,c_1303]) ).
tcf(c_112537,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112254,c_1279]) ).
tcf(c_112538,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112254,c_1201]) ).
tcf(c_112540,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112254,c_2948]) ).
tcf(c_112541,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_112254,c_1102]) ).
tcf(c_112542,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112254,c_579]) ).
tcf(c_112543,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_112254,c_580]) ).
tcf(c_112544,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_112543,c_53942]) ).
tcf(c_112698,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105848,c_6271]) ).
tcf(c_112700,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_98646,c_6271]) ).
tcf(c_112701,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_93101,c_6271]) ).
tcf(c_112702,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_88652,c_6271]) ).
tcf(c_112703,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_86151,c_6271]) ).
tcf(c_112706,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27658,c_6271]) ).
tcf(c_112707,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27657,c_6271]) ).
tcf(c_112710,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27276,c_6271]) ).
tcf(c_112713,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_22642,c_6271]) ).
tcf(c_112716,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_18938,c_6271]) ).
tcf(c_112717,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_17395,c_6271]) ).
tcf(c_112722,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_25,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6271,c_14924]) ).
tcf(c_112723,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6271,c_14868]) ).
tcf(c_112725,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,sk_c9)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6271,c_14924]) ).
tcf(c_112733,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = multiply(iPr_def_26,sk_c9) ) ),
inference(superposition,[status(thm)],[c_6271,c_5615]) ).
tcf(c_112932,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_104901,c_105565]) ).
tcf(c_112933,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_98646,c_105565]) ).
tcf(c_112936,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_105565]) ).
tcf(c_112953,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3980,c_105565]) ).
tcf(c_112955,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_105565,c_14924]) ).
tcf(c_112956,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105565,c_14868]) ).
tcf(c_112957,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_105565,c_100]) ).
tcf(c_112958,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_105565,c_14924]) ).
tcf(c_112959,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_25,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_105565,c_14924]) ).
tcf(c_112960,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != inverse(iPr_def_25) )
| ( inverse(inverse(iPr_def_25)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_105565,c_584]) ).
tcf(c_112962,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_105565,c_44069]) ).
tcf(c_112963,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_105565,c_3988]) ).
tcf(c_112969,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_25,sk_c8)),iPr_def_18) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105565,c_68514]) ).
tcf(c_112971,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105565,c_5381]) ).
tcf(c_112976,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_105565,c_5615]) ).
tcf(c_112979,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_105565,c_5995]) ).
tcf(c_112983,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105565,c_5996]) ).
tcf(c_112986,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_105565,c_5997]) ).
tcf(c_112993,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_105565,c_34641]) ).
tcf(c_112994,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_105565,c_34640]) ).
tcf(c_112995,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_105565,c_34639]) ).
tcf(c_112996,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_105565,c_34638]) ).
tcf(c_112997,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105565,c_35337]) ).
tcf(c_112998,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105565,c_34934]) ).
tcf(c_112999,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105565,c_35573]) ).
tcf(c_113000,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105565,c_35572]) ).
tcf(c_113001,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_25,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105565,c_68514]) ).
tcf(c_113158,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104898,c_105663]) ).
tcf(c_113160,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_96784,c_105663]) ).
tcf(c_113163,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_83999,c_105663]) ).
tcf(c_113170,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_16741,c_105663]) ).
tcf(c_113171,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_14212,c_105663]) ).
tcf(c_113175,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4975,c_105663]) ).
tcf(c_113176,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4794,c_105663]) ).
tcf(c_113177,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4792,c_105663]) ).
tcf(c_113178,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4507,c_105663]) ).
tcf(c_113179,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4415,c_105663]) ).
tcf(c_113180,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4407,c_105663]) ).
tcf(c_113190,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_105663]) ).
tcf(c_113191,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_105663]) ).
tcf(c_113211,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_105663,c_14924]) ).
tcf(c_113212,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105663,c_14868]) ).
tcf(c_113214,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105663,c_14924]) ).
tcf(c_113216,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105663,c_5378]) ).
tcf(c_113217,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105663,c_5394]) ).
tcf(c_113218,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105663,c_5393]) ).
tcf(c_113219,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105663,c_5392]) ).
tcf(c_113220,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105663,c_5391]) ).
tcf(c_113221,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_105663,c_23565]) ).
tcf(c_113560,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_92509,c_109855]) ).
tcf(c_113563,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77463,c_109855]) ).
tcf(c_113565,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64470,c_109855]) ).
tcf(c_113566,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63522,c_109855]) ).
tcf(c_113567,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60967,c_109855]) ).
tcf(c_113571,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39651,c_109855]) ).
tcf(c_113572,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39649,c_109855]) ).
tcf(c_113573,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39648,c_109855]) ).
tcf(c_113594,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1901,c_109855]) ).
tcf(c_113607,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_629,c_109855]) ).
tcf(c_113608,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_628,c_109855]) ).
tcf(c_113609,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_627,c_109855]) ).
tcf(c_113610,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_625,c_109855]) ).
tcf(c_113611,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_109855]) ).
tcf(c_113612,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_109855]) ).
tcf(c_113613,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_109855]) ).
tcf(c_113614,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_109855]) ).
tcf(c_113621,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_109855]) ).
tcf(c_113626,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_109855]) ).
tcf(c_113627,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_109855]) ).
tcf(c_113647,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c10,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_109855,c_14924]) ).
tcf(c_113648,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_109855,c_14868]) ).
tcf(c_113650,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_109855,c_14924]) ).
tcf(c_113651,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = multiply(iPr_def_23,sk_c9) ) ),
inference(superposition,[status(thm)],[c_109855,c_2927]) ).
tcf(c_113712,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_113627,c_34527]) ).
tcf(c_113717,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_22 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_113626,c_34527]) ).
tcf(c_114052,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_112544,c_98717]) ).
tcf(c_114060,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_112544,c_66049]) ).
tcf(c_114061,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_64852]) ).
tcf(c_114063,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_112544,c_64248]) ).
tcf(c_114064,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_62965]) ).
tcf(c_114067,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_112544,c_60801]) ).
tcf(c_114074,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_112544,c_53951]) ).
tcf(c_114075,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_112544,c_53950]) ).
tcf(c_114077,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_112544,c_53948]) ).
tcf(c_114085,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_44070]) ).
tcf(c_114086,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_43804]) ).
tcf(c_114087,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_112544,c_38079]) ).
tcf(c_114089,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_112544,c_38028]) ).
tcf(c_114097,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_4424]) ).
tcf(c_114100,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_3989]) ).
tcf(c_114101,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_3910]) ).
tcf(c_114102,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_112544,c_12170]) ).
tcf(c_114103,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_112544,c_2927]) ).
tcf(c_114104,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_2104]) ).
tcf(c_114105,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_2029]) ).
tcf(c_114106,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_1959]) ).
tcf(c_114107,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_1845]) ).
tcf(c_114108,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_1647]) ).
tcf(c_114109,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_1598]) ).
tcf(c_114110,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_1556]) ).
tcf(c_114111,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_1487]) ).
tcf(c_114118,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112544,c_577]) ).
tcf(c_114119,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112544,c_569]) ).
tcf(c_114148,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_114111,c_5612]) ).
tcf(c_114152,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_114110,c_5612]) ).
tcf(c_114156,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_114109,c_5612]) ).
tcf(c_114160,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_114108,c_5612]) ).
tcf(c_114179,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_114100,c_5612]) ).
tcf(c_114189,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_114085,c_5612]) ).
tcf(c_114477,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112963,c_104936]) ).
tcf(c_114478,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_104921]) ).
tcf(c_114479,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_104941]) ).
tcf(c_114484,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_93675]) ).
tcf(c_114492,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_44428]) ).
tcf(c_114493,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_44069]) ).
tcf(c_114494,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_43803]) ).
tcf(c_114511,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_4423]) ).
tcf(c_114514,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_3988]) ).
tcf(c_114522,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_112963,c_2926]) ).
tcf(c_114524,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_2793]) ).
tcf(c_114526,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_2103]) ).
tcf(c_114527,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_2028]) ).
tcf(c_114528,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_1958]) ).
tcf(c_114529,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_1844]) ).
tcf(c_114530,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_1646]) ).
tcf(c_114531,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_1597]) ).
tcf(c_114532,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_1555]) ).
tcf(c_114533,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_112963,c_1486]) ).
tcf(c_114636,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_109855]) ).
tcf(c_114637,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_105663]) ).
tcf(c_114638,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_102475]) ).
tcf(c_114643,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_97312]) ).
tcf(c_114645,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_92334]) ).
tcf(c_114646,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_91102]) ).
tcf(c_114647,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_89236]) ).
tcf(c_114650,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_87847]) ).
tcf(c_114651,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_87343]) ).
tcf(c_114668,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_112979,c_75732]) ).
tcf(c_114670,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_66710]) ).
tcf(c_114680,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_44747]) ).
tcf(c_114685,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_24760]) ).
tcf(c_114686,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_24515]) ).
tcf(c_114687,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_24472]) ).
tcf(c_114688,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_24428]) ).
tcf(c_114690,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_24214]) ).
tcf(c_114692,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_17478]) ).
tcf(c_114693,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_25,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_112979,c_2925]) ).
tcf(c_114695,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_112979,c_2923]) ).
tcf(c_114696,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_25,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_112979,c_2921]) ).
tcf(c_114714,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_112979,c_630]) ).
tcf(c_114715,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_621]) ).
tcf(c_114724,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112979,c_594]) ).
tcf(c_114740,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_114668,c_75829]) ).
tcf(c_114822,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112986,c_112254]) ).
tcf(c_114824,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = identity ) ),
inference(superposition,[status(thm)],[c_112986,c_105861]) ).
tcf(c_114825,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_103089]) ).
tcf(c_114826,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112986,c_6250]) ).
tcf(c_114829,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = identity ) ),
inference(superposition,[status(thm)],[c_112986,c_6229]) ).
tcf(c_114830,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(identity,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112986,c_100051]) ).
tcf(c_114831,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112986,c_6228]) ).
tcf(c_114832,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112986,c_101168]) ).
tcf(c_114833,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = identity ) ),
inference(superposition,[status(thm)],[c_112986,c_93115]) ).
tcf(c_114835,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112986,c_90811]) ).
tcf(c_114836,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = identity ) ),
inference(superposition,[status(thm)],[c_112986,c_88667]) ).
tcf(c_114838,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_112986,c_86635]) ).
tcf(c_114839,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,identity) = identity ) ),
inference(superposition,[status(thm)],[c_112986,c_5997]) ).
tcf(c_114840,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112986,c_5996]) ).
tcf(c_114846,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_76111]) ).
tcf(c_114854,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112986,c_66117]) ).
tcf(c_114867,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_44213]) ).
tcf(c_114868,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_112986,c_43810]) ).
tcf(c_114874,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_112986,c_23931]) ).
tcf(c_114876,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112986,c_23565]) ).
tcf(c_114877,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_112986,c_23562]) ).
tcf(c_114878,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_3816]) ).
tcf(c_114880,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_112986,c_2925]) ).
tcf(c_114883,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_1357]) ).
tcf(c_114884,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_1327]) ).
tcf(c_114885,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_1303]) ).
tcf(c_114886,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_1279]) ).
tcf(c_114887,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(identity,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_1201]) ).
tcf(c_114889,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112986,c_2948]) ).
tcf(c_114891,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_579]) ).
tcf(c_114892,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_112986,c_580]) ).
tcf(c_114895,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_114892,c_15984]) ).
tcf(c_114914,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_114889,c_98]) ).
tcf(c_114994,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_105848,c_6272]) ).
tcf(c_114997,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93101,c_6272]) ).
tcf(c_114999,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_6272]) ).
tcf(c_115002,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27658,c_6272]) ).
tcf(c_115003,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27657,c_6272]) ).
tcf(c_115006,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27276,c_6272]) ).
tcf(c_115022,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1705,c_6272]) ).
tcf(c_115027,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1357,c_6272]) ).
tcf(c_115032,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23562,c_6272]) ).
tcf(c_115035,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_100051,c_6272]) ).
tcf(c_115040,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_63442,c_6272]) ).
tcf(c_115041,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_60865,c_6272]) ).
tcf(c_115044,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_56951,c_6272]) ).
tcf(c_115046,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_23565,c_6272]) ).
tcf(c_115048,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112986,c_6272]) ).
tcf(c_115049,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112254,c_6272]) ).
tcf(c_115050,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_105861,c_6272]) ).
tcf(c_115051,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_104061,c_6272]) ).
tcf(c_115052,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_101168,c_6272]) ).
tcf(c_115053,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_93115,c_6272]) ).
tcf(c_115054,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_91749,c_6272]) ).
tcf(c_115055,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_90811,c_6272]) ).
tcf(c_115056,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88667,c_6272]) ).
tcf(c_115057,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_87533,c_6272]) ).
tcf(c_115058,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86635,c_6272]) ).
tcf(c_115061,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77042,c_6272]) ).
tcf(c_115067,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_63400,c_6272]) ).
tcf(c_115068,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_60824,c_6272]) ).
tcf(c_115071,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56913,c_6272]) ).
tcf(c_115079,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(sk_c1,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6272,c_14924]) ).
tcf(c_115081,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6272,c_100]) ).
tcf(c_115082,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(sk_c1,X1) ) ),
inference(superposition,[status(thm)],[c_6272,c_14924]) ).
tcf(c_115083,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_25,sk_c1)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6272,c_14924]) ).
tcf(c_115092,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c9,multiply(sk_c1,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_6272,c_5615]) ).
tcf(c_115122,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_115081,c_23561,c_23929]) ).
tcf(c_115180,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(sk_c1,multiply(X0,X1)))) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_115079,c_23561,c_23929]) ).
tcf(c_115259,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_109186,c_112157]) ).
tcf(c_115260,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_99528,c_112157]) ).
tcf(c_115261,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_93962,c_112157]) ).
tcf(c_115262,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_88905,c_112157]) ).
tcf(c_115267,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_30693,c_112157]) ).
tcf(c_115272,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_112157,c_14924]) ).
tcf(c_115273,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112157,c_14868]) ).
tcf(c_115274,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_112157,c_100]) ).
tcf(c_115275,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_112157,c_14924]) ).
tcf(c_115278,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_112157,c_5123]) ).
tcf(c_115279,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_115273,c_53923]) ).
tcf(c_115300,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),X0) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_115275,c_15955]) ).
tcf(c_115303,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_115272,c_15984]) ).
tcf(c_115373,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_112304]) ).
tcf(c_115374,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_112304]) ).
tcf(c_115375,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_112304]) ).
tcf(c_115384,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_112304]) ).
tcf(c_115385,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_112304]) ).
tcf(c_115386,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78891,c_112304]) ).
tcf(c_115395,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_112304]) ).
tcf(c_115426,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_112304]) ).
tcf(c_115428,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_112304]) ).
tcf(c_115429,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_112304]) ).
tcf(c_115443,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_112304,c_14924]) ).
tcf(c_115444,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_112304,c_14868]) ).
tcf(c_115446,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_112304,c_14924]) ).
tcf(c_115447,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(iPr_def_15) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_112304,c_582]) ).
tcf(c_115448,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_112304,c_53869]) ).
tcf(c_115483,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != sk_c2 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_115447,c_53942]) ).
tcf(c_115494,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_112542]) ).
tcf(c_115501,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_112542]) ).
tcf(c_115502,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_112542]) ).
tcf(c_115503,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_112542]) ).
tcf(c_115523,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_112542,c_14924]) ).
tcf(c_115524,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_112542,c_14868]) ).
tcf(c_115526,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_112542,c_14924]) ).
tcf(c_115527,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_112542,c_53869]) ).
tcf(c_115553,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104898,c_114118]) ).
tcf(c_115558,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_114118]) ).
tcf(c_115571,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4794,c_114118]) ).
tcf(c_115573,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_114118]) ).
tcf(c_115575,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4407,c_114118]) ).
tcf(c_115578,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_114118]) ).
tcf(c_115579,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_114118]) ).
tcf(c_115580,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_114118]) ).
tcf(c_115589,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_114118]) ).
tcf(c_115590,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_114118]) ).
tcf(c_115600,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_114118]) ).
tcf(c_115631,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_950,c_114118]) ).
tcf(c_115633,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_114118]) ).
tcf(c_115634,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_114118]) ).
tcf(c_115648,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_114118,c_14924]) ).
tcf(c_115649,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_114118,c_14868]) ).
tcf(c_115651,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_114118,c_14924]) ).
tcf(c_115652,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(iPr_def_26) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_114118,c_582]) ).
tcf(c_115654,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_114118,c_5378]) ).
tcf(c_115655,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_114118,c_5394]) ).
tcf(c_115656,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_114118,c_5393]) ).
tcf(c_115657,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_114118,c_5392]) ).
tcf(c_115658,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_114118,c_5391]) ).
tcf(c_115659,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_114118,c_23565]) ).
tcf(c_115722,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c1 != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_115652,c_23929]) ).
tcf(c_115823,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114067,c_6272]) ).
tcf(c_115826,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_114067,c_6251]) ).
tcf(c_115828,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_103089]) ).
tcf(c_115829,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114067,c_6250]) ).
tcf(c_115831,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_114067,c_6229]) ).
tcf(c_115832,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114067,c_100051]) ).
tcf(c_115833,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114067,c_6228]) ).
tcf(c_115839,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_114067,c_5997]) ).
tcf(c_115840,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114067,c_5996]) ).
tcf(c_115847,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_76111]) ).
tcf(c_115854,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114067,c_66117]) ).
tcf(c_115855,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114067,c_64314]) ).
tcf(c_115867,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_44213]) ).
tcf(c_115878,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_3816]) ).
tcf(c_115880,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_114067,c_2925]) ).
tcf(c_115882,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_1705]) ).
tcf(c_115883,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_1357]) ).
tcf(c_115884,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_1327]) ).
tcf(c_115885,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_1303]) ).
tcf(c_115886,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_1279]) ).
tcf(c_115887,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_1201]) ).
tcf(c_115889,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114067,c_2948]) ).
tcf(c_115890,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_114067,c_1102]) ).
tcf(c_115891,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114067,c_579]) ).
tcf(c_115892,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_114067,c_580]) ).
tcf(c_115993,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_104898]) ).
tcf(c_115994,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114077,c_96784]) ).
tcf(c_116003,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_114077,c_5935]) ).
tcf(c_116004,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114077,c_64852]) ).
tcf(c_116005,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_64851]) ).
tcf(c_116008,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114077,c_62965]) ).
tcf(c_116009,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_62964]) ).
tcf(c_116016,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114077,c_43804]) ).
tcf(c_116017,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_43803]) ).
tcf(c_116019,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114077,c_5378]) ).
tcf(c_116020,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_38237]) ).
tcf(c_116021,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_37963]) ).
tcf(c_116022,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_37836]) ).
tcf(c_116023,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_37425]) ).
tcf(c_116024,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114077,c_5394]) ).
tcf(c_116025,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114077,c_5393]) ).
tcf(c_116026,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114077,c_5392]) ).
tcf(c_116027,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114077,c_5391]) ).
tcf(c_116028,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114077,c_23565]) ).
tcf(c_116029,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_114077,c_23929]) ).
tcf(c_116030,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_114077,c_23562]) ).
tcf(c_116038,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_114077,c_5615]) ).
tcf(c_116039,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114077,c_4424]) ).
tcf(c_116040,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_4423]) ).
tcf(c_116041,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_114077,c_4422]) ).
tcf(c_116046,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_7255]) ).
tcf(c_116047,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_7180]) ).
tcf(c_116048,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_6849]) ).
tcf(c_116049,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_6425]) ).
tcf(c_116050,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114077,c_2104]) ).
tcf(c_116051,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_2103]) ).
tcf(c_116052,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_114077,c_2102]) ).
tcf(c_116053,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114077,c_2029]) ).
tcf(c_116054,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_2028]) ).
tcf(c_116055,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_114077,c_2027]) ).
tcf(c_116056,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114077,c_1959]) ).
tcf(c_116057,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_1958]) ).
tcf(c_116058,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_114077,c_1957]) ).
tcf(c_116059,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114077,c_1845]) ).
tcf(c_116060,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114077,c_1844]) ).
tcf(c_116061,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_114077,c_1843]) ).
tcf(c_116065,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114077,c_4794]) ).
tcf(c_116067,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114077,c_4507]) ).
tcf(c_116069,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114077,c_4407]) ).
tcf(c_116072,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_114077,c_5612]) ).
tcf(c_116073,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114077,c_2948]) ).
tcf(c_116074,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_114077,c_1102]) ).
tcf(c_116077,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_116029,c_35515]) ).
tcf(c_116303,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114479,c_15984]) ).
tcf(c_116304,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_114479,c_15955]) ).
tcf(c_116336,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_114874,c_114479]) ).
tcf(c_116337,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_114874,c_103103]) ).
tcf(c_116341,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_114874,c_53893]) ).
tcf(c_116355,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_114874,c_15984]) ).
tcf(c_116356,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_13) = X0 ) ),
inference(superposition,[status(thm)],[c_114874,c_15955]) ).
tcf(c_116365,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_116355,c_35515]) ).
tcf(c_116377,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_111395,c_635,c_637,c_567,c_630,c_1260,c_1350,c_4342,c_4714,c_4715,c_20816,c_47014,c_52385,c_74203,c_101909,c_116365]) ).
tcf(c_116402,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_112542]) ).
tcf(c_116404,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_109855]) ).
tcf(c_116405,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_105663]) ).
tcf(c_116406,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_102475]) ).
tcf(c_116411,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_97312]) ).
tcf(c_116412,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_92334]) ).
tcf(c_116413,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_91102]) ).
tcf(c_116414,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_89236]) ).
tcf(c_116416,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_87847]) ).
tcf(c_116417,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_87343]) ).
tcf(c_116434,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_74728]) ).
tcf(c_116435,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_116377,c_75732]) ).
tcf(c_116445,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_44747]) ).
tcf(c_116450,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_24760]) ).
tcf(c_116451,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_24515]) ).
tcf(c_116452,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_24472]) ).
tcf(c_116453,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_24428]) ).
tcf(c_116455,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_24214]) ).
tcf(c_116457,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_116377,c_17478]) ).
tcf(c_116458,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_116377,c_2925]) ).
tcf(c_116459,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_116377,c_2923]) ).
tcf(c_116460,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_116377,c_2921]) ).
tcf(c_116481,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_579]) ).
tcf(c_116482,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_116377,c_575]) ).
tcf(c_116483,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_116377,c_572]) ).
tcf(c_116546,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_111396,c_570,c_1998,c_1999,c_2343,c_38759,c_55210,c_71967,c_72118,c_76448,c_76446,c_105751]) ).
tcf(c_116570,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_109186,c_116546]) ).
tcf(c_116571,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_116546]) ).
tcf(c_116572,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93962,c_116546]) ).
tcf(c_116573,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88905,c_116546]) ).
tcf(c_116574,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67817,c_116546]) ).
tcf(c_116575,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34351,c_116546]) ).
tcf(c_116582,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28510,c_116546]) ).
tcf(c_116583,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_116546,c_14924]) ).
tcf(c_116584,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116546,c_14868]) ).
tcf(c_116585,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_116546,c_100]) ).
tcf(c_116586,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_23)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116546,c_14924]) ).
tcf(c_116587,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_116546,c_5123]) ).
tcf(c_116597,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_116587,c_5120]) ).
tcf(c_116639,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_105848,c_6273]) ).
tcf(c_116642,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_93101,c_6273]) ).
tcf(c_116644,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_6273]) ).
tcf(c_116647,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_27658,c_6273]) ).
tcf(c_116648,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_6273]) ).
tcf(c_116651,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_27276,c_6273]) ).
tcf(c_116663,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_114067,c_6273]) ).
tcf(c_116665,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_112254,c_6273]) ).
tcf(c_116666,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_105861,c_6273]) ).
tcf(c_116667,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_104061,c_6273]) ).
tcf(c_116668,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_101168,c_6273]) ).
tcf(c_116669,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_93115,c_6273]) ).
tcf(c_116670,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_91749,c_6273]) ).
tcf(c_116671,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_90811,c_6273]) ).
tcf(c_116672,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_88667,c_6273]) ).
tcf(c_116673,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_87533,c_6273]) ).
tcf(c_116674,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_86635,c_6273]) ).
tcf(c_116683,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_63400,c_6273]) ).
tcf(c_116684,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_60824,c_6273]) ).
tcf(c_116687,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_56913,c_6273]) ).
tcf(c_116695,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(sk_c1,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6273,c_14924]) ).
tcf(c_116696,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6273,c_14868]) ).
tcf(c_116697,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_6273,c_100]) ).
tcf(c_116698,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6273,c_14924]) ).
tcf(c_116707,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c9,sk_c1) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_6273,c_5615]) ).
tcf(c_116771,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_116698,c_15955]) ).
tcf(c_116774,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_25,multiply(sk_c1,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_116695,c_15984]) ).
tcf(c_117187,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104898,c_115891]) ).
tcf(c_117189,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_96784,c_115891]) ).
tcf(c_117192,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_83999,c_115891]) ).
tcf(c_117200,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_14212,c_115891]) ).
tcf(c_117205,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4794,c_115891]) ).
tcf(c_117207,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4507,c_115891]) ).
tcf(c_117208,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4415,c_115891]) ).
tcf(c_117209,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4407,c_115891]) ).
tcf(c_117212,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116377,c_115891]) ).
tcf(c_117213,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_115891]) ).
tcf(c_117221,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_115891]) ).
tcf(c_117222,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_115891]) ).
tcf(c_117242,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_115891,c_14924]) ).
tcf(c_117243,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_115891,c_14868]) ).
tcf(c_117245,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_115891,c_14924]) ).
tcf(c_117247,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_115891,c_5378]) ).
tcf(c_117248,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_115891,c_5394]) ).
tcf(c_117249,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_115891,c_5393]) ).
tcf(c_117250,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_115891,c_5392]) ).
tcf(c_117251,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_115891,c_5391]) ).
tcf(c_117252,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_115891,c_23565]) ).
tcf(c_117339,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112986,c_116481]) ).
tcf(c_117350,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82527,c_116481]) ).
tcf(c_117351,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_80257,c_116481]) ).
tcf(c_117352,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77042,c_116481]) ).
tcf(c_117353,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_76297,c_116481]) ).
tcf(c_117370,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c1,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_116481,c_14924]) ).
tcf(c_117371,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116481,c_14868]) ).
tcf(c_117373,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_25)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116481,c_14924]) ).
tcf(c_117376,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116481,c_6228]) ).
tcf(c_117377,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116481,c_5996]) ).
tcf(c_117378,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116481,c_5977]) ).
tcf(c_117379,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116481,c_5958]) ).
tcf(c_117380,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116481,c_2948]) ).
tcf(c_117401,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_117351,c_38018]) ).
tcf(c_117505,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c4,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_116482,c_14924]) ).
tcf(c_117506,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116482,c_14868]) ).
tcf(c_117508,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_21)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116482,c_14924]) ).
tcf(c_117509,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116482,c_2946]) ).
tcf(c_117516,plain,
( ( iPr_def_16 = iPr_def_19 )
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_116457,c_3820,c_17473,c_103052,c_116336]) ).
tcf(c_117517,plain,
( iPr_def_11
| ( iPr_def_16 = iPr_def_19 ) ),
inference(renaming,[status(thm)],[c_117516]) ).
tcf(c_117557,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_114895,c_114874]) ).
tcf(c_117563,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_114895,c_53893]) ).
tcf(c_117565,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_114895,c_53393]) ).
tcf(c_117566,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_114895,c_51716]) ).
tcf(c_117567,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_114895,c_50947]) ).
tcf(c_117568,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_114895,c_49349]) ).
tcf(c_117569,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_114895,c_48781]) ).
tcf(c_117570,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_114895,c_47970]) ).
tcf(c_117577,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_114895,c_15984]) ).
tcf(c_117578,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_114895,c_15955]) ).
tcf(c_117585,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_117577,c_23929]) ).
tcf(c_117651,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_116065,c_6271]) ).
tcf(c_117652,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_116065,c_6251]) ).
tcf(c_117653,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116065,c_6250]) ).
tcf(c_117655,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_116065,c_6249]) ).
tcf(c_117656,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_116065,c_6227]) ).
tcf(c_117658,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_116065,c_5997]) ).
tcf(c_117660,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116065,c_5996]) ).
tcf(c_117661,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_116065,c_5995]) ).
tcf(c_117667,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_116065,c_76389]) ).
tcf(c_117673,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_116065,c_23963]) ).
tcf(c_117674,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_116065,c_23961]) ).
tcf(c_117675,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_116065,c_23960]) ).
tcf(c_117682,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116065,c_48478]) ).
tcf(c_117688,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116065,c_44072]) ).
tcf(c_117700,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116065,c_26788]) ).
tcf(c_117701,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116065,c_26546]) ).
tcf(c_117702,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116065,c_26422]) ).
tcf(c_117703,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116065,c_25284]) ).
tcf(c_117705,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116065,c_27657]) ).
tcf(c_117706,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116065,c_27656]) ).
tcf(c_117707,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116065,c_25055]) ).
tcf(c_117708,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116065,c_24883]) ).
tcf(c_117723,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_116065,c_5615]) ).
tcf(c_117747,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116065,c_3991]) ).
tcf(c_117750,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116065,c_1649]) ).
tcf(c_117751,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116065,c_1600]) ).
tcf(c_117752,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116065,c_1558]) ).
tcf(c_117753,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116065,c_1489]) ).
tcf(c_117755,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_116065,c_5612]) ).
tcf(c_117763,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_117753,c_35515]) ).
tcf(c_117767,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_117752,c_35515]) ).
tcf(c_117771,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_117751,c_35515]) ).
tcf(c_117775,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_117750,c_35515]) ).
tcf(c_117780,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_117688,c_35515]) ).
tcf(c_117785,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_117674,c_35515]) ).
tcf(c_117789,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_117673,c_35515]) ).
tcf(c_117798,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_117703,c_34527]) ).
tcf(c_117802,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_117702,c_34527]) ).
tcf(c_117806,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_117701,c_34527]) ).
tcf(c_117810,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_117700,c_34527]) ).
tcf(c_117814,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_117682,c_34527]) ).
tcf(c_117956,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_116481]) ).
tcf(c_117957,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_116077,c_6273]) ).
tcf(c_117959,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116077,c_6272]) ).
tcf(c_117960,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = identity ) ),
inference(superposition,[status(thm)],[c_116077,c_112986]) ).
tcf(c_117962,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_116077,c_6251]) ).
tcf(c_117963,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_103089]) ).
tcf(c_117964,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116077,c_6250]) ).
tcf(c_117967,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_116077,c_6229]) ).
tcf(c_117968,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116077,c_100051]) ).
tcf(c_117969,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116077,c_6228]) ).
tcf(c_117975,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_116077,c_5997]) ).
tcf(c_117976,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116077,c_5996]) ).
tcf(c_117990,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116077,c_66117]) ).
tcf(c_117991,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116077,c_64314]) ).
tcf(c_117993,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116077,c_64271]) ).
tcf(c_117994,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116077,c_60865]) ).
tcf(c_117997,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116077,c_60824]) ).
tcf(c_118003,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_44213]) ).
tcf(c_118012,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116077,c_23565]) ).
tcf(c_118013,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_116077,c_23562]) ).
tcf(c_118014,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_3816]) ).
tcf(c_118016,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_116077,c_2925]) ).
tcf(c_118018,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_1705]) ).
tcf(c_118019,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_1357]) ).
tcf(c_118020,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_1327]) ).
tcf(c_118021,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_1303]) ).
tcf(c_118022,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_1279]) ).
tcf(c_118023,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_1201]) ).
tcf(c_118025,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116077,c_2948]) ).
tcf(c_118026,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_116077,c_1102]) ).
tcf(c_118027,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116077,c_579]) ).
tcf(c_118028,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_116077,c_580]) ).
tcf(c_118065,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_25 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_118018,c_34527]) ).
tcf(c_118212,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_116065,c_6293]) ).
tcf(c_118215,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_98646,c_6293]) ).
tcf(c_118218,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_86151,c_6293]) ).
tcf(c_118222,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27657,c_6293]) ).
tcf(c_118231,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_18938,c_6293]) ).
tcf(c_118237,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_25,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6293,c_14924]) ).
tcf(c_118238,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6293,c_14868]) ).
tcf(c_118240,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,sk_c9)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6293,c_14924]) ).
tcf(c_118249,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = multiply(iPr_def_26,sk_c9) ) ),
inference(superposition,[status(thm)],[c_6293,c_5615]) ).
tcf(c_118342,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c8,multiply(iPr_def_13,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_116483,c_14924]) ).
tcf(c_118343,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116483,c_14868]) ).
tcf(c_118345,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_18)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116483,c_14924]) ).
tcf(c_118346,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_14,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_116483,c_2924]) ).
tcf(c_118347,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_18) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_116483,c_2922]) ).
tcf(c_118349,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(light_normalisation,[status(thm)],[c_118347,c_10789]) ).
tcf(c_118352,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_14,iPr_def_13) ) ),
inference(light_normalisation,[status(thm)],[c_118346,c_11416]) ).
tcf(c_118374,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_92509,c_118027]) ).
tcf(c_118377,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77463,c_118027]) ).
tcf(c_118379,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64470,c_118027]) ).
tcf(c_118385,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39651,c_118027]) ).
tcf(c_118386,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39649,c_118027]) ).
tcf(c_118387,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39648,c_118027]) ).
tcf(c_118408,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1901,c_118027]) ).
tcf(c_118421,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_629,c_118027]) ).
tcf(c_118422,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_628,c_118027]) ).
tcf(c_118423,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_627,c_118027]) ).
tcf(c_118424,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_625,c_118027]) ).
tcf(c_118425,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_118027]) ).
tcf(c_118426,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_118027]) ).
tcf(c_118427,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_118027]) ).
tcf(c_118428,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_118027]) ).
tcf(c_118434,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_118027]) ).
tcf(c_118437,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_118027]) ).
tcf(c_118442,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_118027]) ).
tcf(c_118443,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_118027]) ).
tcf(c_118463,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c10,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_118027,c_14924]) ).
tcf(c_118464,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c10),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_118027,c_14868]) ).
tcf(c_118466,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_118027,c_14924]) ).
tcf(c_118467,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = multiply(iPr_def_23,sk_c9) ) ),
inference(superposition,[status(thm)],[c_118027,c_2927]) ).
tcf(c_118525,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_118443,c_34527]) ).
tcf(c_118530,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_118442,c_34527]) ).
tcf(c_118593,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116336,c_104921]) ).
tcf(c_118595,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_116336,c_104909]) ).
tcf(c_118600,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_116336,c_75799]) ).
tcf(c_118601,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_116336,c_75798]) ).
tcf(c_118602,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_116336,c_75797]) ).
tcf(c_118603,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_116336,c_75796]) ).
tcf(c_118609,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_116336,c_44215]) ).
tcf(c_118610,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_116336,c_44214]) ).
tcf(c_118611,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116336,c_44213]) ).
tcf(c_118615,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_116336,c_5564]) ).
tcf(c_118622,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_13) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_116336,c_12170]) ).
tcf(c_118628,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_116336,c_1329]) ).
tcf(c_118629,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_116336,c_1328]) ).
tcf(c_118630,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116336,c_1327]) ).
tcf(c_118631,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_116336,c_1305]) ).
tcf(c_118632,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_116336,c_1304]) ).
tcf(c_118633,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116336,c_1303]) ).
tcf(c_118634,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_116336,c_1281]) ).
tcf(c_118635,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_116336,c_1280]) ).
tcf(c_118636,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116336,c_1279]) ).
tcf(c_118637,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_116336,c_1203]) ).
tcf(c_118638,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_116336,c_1202]) ).
tcf(c_118639,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_116336,c_1201]) ).
tcf(c_118640,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_116336,c_5374]) ).
tcf(c_118757,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_116337,c_6227]) ).
tcf(c_118758,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_116337,c_98646]) ).
tcf(c_118759,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_116337,c_5997]) ).
tcf(c_118761,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116337,c_5996]) ).
tcf(c_118762,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_116337,c_5995]) ).
tcf(c_118768,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_116337,c_76389]) ).
tcf(c_118774,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_116337,c_23963]) ).
tcf(c_118775,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_116337,c_23961]) ).
tcf(c_118776,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_116337,c_23960]) ).
tcf(c_118783,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_48478]) ).
tcf(c_118784,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116337,c_44070]) ).
tcf(c_118785,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_44069]) ).
tcf(c_118789,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116337,c_44072]) ).
tcf(c_118790,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116337,c_5381]) ).
tcf(c_118801,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_26788]) ).
tcf(c_118802,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_26546]) ).
tcf(c_118803,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_26422]) ).
tcf(c_118804,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_25284]) ).
tcf(c_118809,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_24883]) ).
tcf(c_118810,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116337,c_5398]) ).
tcf(c_118811,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116337,c_5397]) ).
tcf(c_118812,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116337,c_5396]) ).
tcf(c_118813,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116337,c_5395]) ).
tcf(c_118824,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_116337,c_5615]) ).
tcf(c_118825,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116337,c_3989]) ).
tcf(c_118826,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_116337,c_3987]) ).
tcf(c_118828,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_3988]) ).
tcf(c_118832,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_7259]) ).
tcf(c_118833,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_7184]) ).
tcf(c_118834,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_6853]) ).
tcf(c_118835,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_6429]) ).
tcf(c_118836,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116337,c_1647]) ).
tcf(c_118837,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_1646]) ).
tcf(c_118838,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_116337,c_1645]) ).
tcf(c_118839,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116337,c_1598]) ).
tcf(c_118840,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_1597]) ).
tcf(c_118841,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_116337,c_1596]) ).
tcf(c_118842,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116337,c_1556]) ).
tcf(c_118843,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_1555]) ).
tcf(c_118844,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_116337,c_1554]) ).
tcf(c_118845,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116337,c_1487]) ).
tcf(c_118846,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116337,c_1486]) ).
tcf(c_118847,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_116337,c_1485]) ).
tcf(c_118851,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116337,c_1649]) ).
tcf(c_118852,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116337,c_1600]) ).
tcf(c_118853,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116337,c_1558]) ).
tcf(c_118854,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116337,c_1489]) ).
tcf(c_118856,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_116337,c_5612]) ).
tcf(c_118857,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_118774,c_35515]) ).
tcf(c_118882,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_118854,c_35515]) ).
tcf(c_118886,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_118853,c_35515]) ).
tcf(c_118890,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_118852,c_35515]) ).
tcf(c_118894,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_118851,c_35515]) ).
tcf(c_118898,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_118789,c_35515]) ).
tcf(c_118998,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116341,c_116546]) ).
tcf(c_119011,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_116341,c_80317]) ).
tcf(c_119014,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_116341,c_54058]) ).
tcf(c_119015,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_116341,c_38079]) ).
tcf(c_119016,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116341,c_38028]) ).
tcf(c_119017,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_116341,c_38018]) ).
tcf(c_119028,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_116341,c_5123]) ).
tcf(c_119030,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116341,c_7259]) ).
tcf(c_119031,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116341,c_7255]) ).
tcf(c_119032,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116341,c_7184]) ).
tcf(c_119033,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116341,c_7180]) ).
tcf(c_119034,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116341,c_6853]) ).
tcf(c_119035,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116341,c_6849]) ).
tcf(c_119036,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116341,c_6429]) ).
tcf(c_119037,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116341,c_6425]) ).
tcf(c_119041,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116341,c_1082]) ).
tcf(c_119043,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116341,c_1080]) ).
tcf(c_119045,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_116341,c_5120]) ).
tcf(c_119052,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c2) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_119016,c_35515]) ).
tcf(c_119087,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_119015,c_35515]) ).
tcf(c_119210,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_114118]) ).
tcf(c_119211,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_112304]) ).
tcf(c_119213,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_104110]) ).
tcf(c_119218,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_101216]) ).
tcf(c_119220,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_100051]) ).
tcf(c_119232,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_91797]) ).
tcf(c_119233,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_90858]) ).
tcf(c_119235,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_87579]) ).
tcf(c_119236,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_86680]) ).
tcf(c_119245,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_66117]) ).
tcf(c_119264,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116365,c_48478]) ).
tcf(c_119279,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116365,c_26788]) ).
tcf(c_119280,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116365,c_26546]) ).
tcf(c_119281,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116365,c_26422]) ).
tcf(c_119282,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116365,c_25284]) ).
tcf(c_119284,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116365,c_24883]) ).
tcf(c_119290,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_116365,c_2927]) ).
tcf(c_119291,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_116365,c_2926]) ).
tcf(c_119308,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116365,c_1082]) ).
tcf(c_119310,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_116365,c_1080]) ).
tcf(c_119341,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_116365,c_593]) ).
tcf(c_119343,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_116365,c_592]) ).
tcf(c_119344,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_116365,c_591]) ).
tcf(c_119345,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_116365,c_589]) ).
tcf(c_119576,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86151,c_6294]) ).
tcf(c_119580,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27657,c_6294]) ).
tcf(c_119600,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1705,c_6294]) ).
tcf(c_119605,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1357,c_6294]) ).
tcf(c_119610,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23562,c_6294]) ).
tcf(c_119613,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_100051,c_6294]) ).
tcf(c_119619,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_60865,c_6294]) ).
tcf(c_119624,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_23565,c_6294]) ).
tcf(c_119626,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_116077,c_6294]) ).
tcf(c_119627,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_114067,c_6294]) ).
tcf(c_119628,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112986,c_6294]) ).
tcf(c_119629,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_112254,c_6294]) ).
tcf(c_119641,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77042,c_6294]) ).
tcf(c_119648,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_60824,c_6294]) ).
tcf(c_119659,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(sk_c1,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6294,c_14924]) ).
tcf(c_119661,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6294,c_100]) ).
tcf(c_119662,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(sk_c1,X1) ) ),
inference(superposition,[status(thm)],[c_6294,c_14924]) ).
tcf(c_119663,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_25,sk_c1)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6294,c_14924]) ).
tcf(c_119672,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c9,multiply(sk_c1,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_6294,c_5615]) ).
tcf(c_119702,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c1,multiply(X0,X1))) = multiply(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_119661,c_23561,c_23929]) ).
tcf(c_119712,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(sk_c1,multiply(X0,X1)))) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_119659,c_23561,c_23929]) ).
tcf(c_120241,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_117557,c_5935]) ).
tcf(c_120266,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_117557,c_23565]) ).
tcf(c_120268,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_117557,c_23562]) ).
tcf(c_120276,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_117557,c_5615]) ).
tcf(c_120310,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_117557,c_5612]) ).
tcf(c_120356,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117563,c_115891]) ).
tcf(c_120358,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117563,c_114118]) ).
tcf(c_120359,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117563,c_105663]) ).
tcf(c_120360,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117563,c_104110]) ).
tcf(c_120365,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117563,c_92334]) ).
tcf(c_120366,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117563,c_91797]) ).
tcf(c_120368,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117563,c_87847]) ).
tcf(c_120369,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117563,c_87579]) ).
tcf(c_120374,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_15) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_117563,c_5935]) ).
tcf(c_120399,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_117563,c_23565]) ).
tcf(c_120401,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_117563,c_23562]) ).
tcf(c_120409,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_117563,c_5615]) ).
tcf(c_120443,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_117563,c_5612]) ).
tcf(c_120547,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117585,c_116481]) ).
tcf(c_120554,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117585,c_103089]) ).
tcf(c_120557,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_117585,c_6229]) ).
tcf(c_120558,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117585,c_100051]) ).
tcf(c_120559,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_117585,c_6228]) ).
tcf(c_120565,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_117585,c_5997]) ).
tcf(c_120566,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_117585,c_5996]) ).
tcf(c_120580,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117585,c_66117]) ).
tcf(c_120593,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117585,c_44213]) ).
tcf(c_120604,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117585,c_3816]) ).
tcf(c_120606,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_117585,c_2925]) ).
tcf(c_120610,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117585,c_1327]) ).
tcf(c_120611,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117585,c_1303]) ).
tcf(c_120612,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117585,c_1279]) ).
tcf(c_120613,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117585,c_1201]) ).
tcf(c_120615,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_117585,c_2948]) ).
tcf(c_120616,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_117585,c_1102]) ).
tcf(c_120617,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117585,c_579]) ).
tcf(c_120694,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_117705,c_112157]) ).
tcf(c_120695,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_117705,c_52552]) ).
tcf(c_120706,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_117705,c_80317]) ).
tcf(c_120709,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_117705,c_54058]) ).
tcf(c_120710,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_117705,c_38079]) ).
tcf(c_120711,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_117705,c_38028]) ).
tcf(c_120712,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_117705,c_38018]) ).
tcf(c_120723,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_117705,c_5123]) ).
tcf(c_120725,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_7259]) ).
tcf(c_120726,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_7255]) ).
tcf(c_120727,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_7184]) ).
tcf(c_120728,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_7180]) ).
tcf(c_120729,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_6853]) ).
tcf(c_120730,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_6849]) ).
tcf(c_120731,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_6429]) ).
tcf(c_120732,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_6425]) ).
tcf(c_120733,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_1139]) ).
tcf(c_120736,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_1082]) ).
tcf(c_120738,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117705,c_1080]) ).
tcf(c_120740,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_117705,c_5120]) ).
tcf(c_120748,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,sk_c2) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_120711,c_35515]) ).
tcf(c_120752,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_120738,c_34527]) ).
tcf(c_120756,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_120736,c_34527]) ).
tcf(c_120760,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_120733,c_34527]) ).
tcf(c_120793,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_120710,c_35515]) ).
tcf(c_120826,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_86151,c_6295]) ).
tcf(c_120830,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_27657,c_6295]) ).
tcf(c_120846,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_116077,c_6295]) ).
tcf(c_120847,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_114067,c_6295]) ).
tcf(c_120849,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_112254,c_6295]) ).
tcf(c_120868,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_60824,c_6295]) ).
tcf(c_120879,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(sk_c1,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6295,c_14924]) ).
tcf(c_120880,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6295,c_14868]) ).
tcf(c_120881,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_6295,c_100]) ).
tcf(c_120882,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_6295,c_14924]) ).
tcf(c_120891,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c9,sk_c1) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_6295,c_5615]) ).
tcf(c_120910,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_120882,c_15955]) ).
tcf(c_120913,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_25,multiply(sk_c1,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_120879,c_15984]) ).
tcf(c_120922,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_117563,c_120617]) ).
tcf(c_120925,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_104898,c_120617]) ).
tcf(c_120927,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_96784,c_120617]) ).
tcf(c_120930,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_83999,c_120617]) ).
tcf(c_120946,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4415,c_120617]) ).
tcf(c_120947,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4407,c_120617]) ).
tcf(c_120951,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_120617]) ).
tcf(c_120980,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_120617,c_14924]) ).
tcf(c_120981,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_120617,c_14868]) ).
tcf(c_120983,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_120617,c_14924]) ).
tcf(c_120986,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_120617,c_5394]) ).
tcf(c_120987,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_120617,c_5393]) ).
tcf(c_120988,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_120617,c_5392]) ).
tcf(c_120989,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_120617,c_5391]) ).
tcf(c_120990,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_120617,c_23565]) ).
tcf(c_121102,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117997,c_114118]) ).
tcf(c_121103,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117997,c_112304]) ).
tcf(c_121112,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117997,c_100051]) ).
tcf(c_121138,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117997,c_64314]) ).
tcf(c_121141,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117997,c_60865]) ).
tcf(c_121145,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_117997,c_12073]) ).
tcf(c_121146,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_117997,c_61092]) ).
tcf(c_121156,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117997,c_48478]) ).
tcf(c_121165,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117997,c_36123]) ).
tcf(c_121166,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_117997,c_36122]) ).
tcf(c_121171,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117997,c_26788]) ).
tcf(c_121172,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117997,c_26546]) ).
tcf(c_121173,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117997,c_26422]) ).
tcf(c_121174,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117997,c_25284]) ).
tcf(c_121182,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_117997,c_2927]) ).
tcf(c_121183,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_117997,c_2926]) ).
tcf(c_121195,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117997,c_1139]) ).
tcf(c_121200,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117997,c_1082]) ).
tcf(c_121202,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_117997,c_1080]) ).
tcf(c_121204,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_117997,c_2947]) ).
tcf(c_121221,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_117997,c_582]) ).
tcf(c_121233,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_117997,c_593]) ).
tcf(c_121235,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_117997,c_592]) ).
tcf(c_121236,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_117997,c_591]) ).
tcf(c_121237,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_117997,c_589]) ).
tcf(c_121348,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_118595,c_101706]) ).
tcf(c_121349,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_118595,c_101705]) ).
tcf(c_121362,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_118595,c_39638]) ).
tcf(c_121363,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_16) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_118595,c_39687]) ).
tcf(c_121364,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_118595,c_39635]) ).
tcf(c_121366,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_118595,c_5362]) ).
tcf(c_121377,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_118595,c_5211]) ).
tcf(c_121379,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c5,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_118595,c_2945]) ).
tcf(c_121380,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c5) = identity ) ),
inference(superposition,[status(thm)],[c_118595,c_1105]) ).
tcf(c_121381,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c5 = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_121363,c_49776]) ).
tcf(c_121521,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_118857,c_116481]) ).
tcf(c_121525,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = identity ) ),
inference(superposition,[status(thm)],[c_118857,c_112986]) ).
tcf(c_121528,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_118857,c_103089]) ).
tcf(c_121532,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_118857,c_6229]) ).
tcf(c_121533,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_118857,c_100051]) ).
tcf(c_121534,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_118857,c_6228]) ).
tcf(c_121540,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_118857,c_5997]) ).
tcf(c_121541,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_118857,c_5996]) ).
tcf(c_121555,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_118857,c_66117]) ).
tcf(c_121568,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_118857,c_44213]) ).
tcf(c_121577,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_118857,c_23565]) ).
tcf(c_121578,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_118857,c_23562]) ).
tcf(c_121579,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_118857,c_3816]) ).
tcf(c_121581,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_118857,c_2925]) ).
tcf(c_121585,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_118857,c_1327]) ).
tcf(c_121586,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_118857,c_1303]) ).
tcf(c_121587,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_118857,c_1279]) ).
tcf(c_121588,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_118857,c_1201]) ).
tcf(c_121590,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_118857,c_2948]) ).
tcf(c_121591,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_118857,c_1102]) ).
tcf(c_121592,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_118857,c_579]) ).
tcf(c_121593,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_118857,c_580]) ).
tcf(c_121651,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_121381,c_101790]) ).
tcf(c_121652,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121381,c_6131]) ).
tcf(c_121654,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_121381,c_39638]) ).
tcf(c_121655,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_121381,c_39635]) ).
tcf(c_121656,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,sk_c9) ) ),
inference(superposition,[status(thm)],[c_121381,c_10789]) ).
tcf(c_121657,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121381,c_2922]) ).
tcf(c_121658,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_121381,c_1778]) ).
tcf(c_121659,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_121381,c_1438]) ).
tcf(c_121660,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_121381,c_1162]) ).
tcf(c_121661,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_121381,c_1055]) ).
tcf(c_121662,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(sk_c6,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_121381,c_2945]) ).
tcf(c_121663,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c6) = identity ) ),
inference(superposition,[status(thm)],[c_121381,c_1105]) ).
tcf(c_121664,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_121381,c_574]) ).
tcf(c_121665,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(sk_c6) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121381,c_573]) ).
tcf(c_121685,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_121651,c_49047]) ).
tcf(c_121709,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_21,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_98717,c_6307]) ).
tcf(c_121740,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_21) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6307]) ).
tcf(c_121746,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_23,X0)),multiply(sk_c2,multiply(multiply(iPr_def_21,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6307,c_14924]) ).
tcf(c_121747,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_23,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_6307,c_14868]) ).
tcf(c_121748,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(multiply(iPr_def_21,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6307,c_100]) ).
tcf(c_121749,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(iPr_def_23,X1))) = multiply(iPr_def_21,X1) ) ),
inference(superposition,[status(thm)],[c_6307,c_14924]) ).
tcf(c_121750,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c2,iPr_def_21)),multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6307,c_14924]) ).
tcf(c_121751,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = multiply(iPr_def_13,multiply(iPr_def_21,X0)) ) ),
inference(superposition,[status(thm)],[c_6307,c_38079]) ).
tcf(c_121752,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_6307,c_2942]) ).
tcf(c_121794,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77463,c_121592]) ).
tcf(c_121802,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39651,c_121592]) ).
tcf(c_121803,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39649,c_121592]) ).
tcf(c_121804,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39648,c_121592]) ).
tcf(c_121838,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_629,c_121592]) ).
tcf(c_121839,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_628,c_121592]) ).
tcf(c_121840,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_627,c_121592]) ).
tcf(c_121841,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_625,c_121592]) ).
tcf(c_121842,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_121592]) ).
tcf(c_121843,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_121592]) ).
tcf(c_121844,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_121592]) ).
tcf(c_121845,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_121592]) ).
tcf(c_121851,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_121592]) ).
tcf(c_121880,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c10,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121592,c_14924]) ).
tcf(c_121881,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c10),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121592,c_14868]) ).
tcf(c_121883,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121592,c_14924]) ).
tcf(c_121884,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_25) = multiply(iPr_def_23,sk_c9) ) ),
inference(superposition,[status(thm)],[c_121592,c_2927]) ).
tcf(c_121952,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_624,c_121664]) ).
tcf(c_121953,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_622,c_121664]) ).
tcf(c_121954,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_615,c_121664]) ).
tcf(c_121955,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_613,c_121664]) ).
tcf(c_121956,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_606,c_121664]) ).
tcf(c_121957,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_604,c_121664]) ).
tcf(c_121958,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_597,c_121664]) ).
tcf(c_121959,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_595,c_121664]) ).
tcf(c_121960,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_588,c_121664]) ).
tcf(c_121961,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_586,c_121664]) ).
tcf(c_121963,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_101647,c_121664]) ).
tcf(c_121965,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52664,c_121664]) ).
tcf(c_121966,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52662,c_121664]) ).
tcf(c_121967,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50282,c_121664]) ).
tcf(c_121968,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50280,c_121664]) ).
tcf(c_121977,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_626,c_121664]) ).
tcf(c_121979,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_617,c_121664]) ).
tcf(c_121981,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_608,c_121664]) ).
tcf(c_121983,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121664]) ).
tcf(c_121985,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121664,c_14924]) ).
tcf(c_121986,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(inverse(sk_c6),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121664,c_14868]) ).
tcf(c_121988,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121664,c_14924]) ).
tcf(c_121990,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121664,c_68514]) ).
tcf(c_122047,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_121967,c_49047]) ).
tcf(c_122056,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_121965,c_49047]) ).
tcf(c_122241,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_121525,c_118027]) ).
tcf(c_122242,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_114118]) ).
tcf(c_122243,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_112304]) ).
tcf(c_122244,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_121525,c_109855]) ).
tcf(c_122246,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_104110]) ).
tcf(c_122247,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_121525,c_103091]) ).
tcf(c_122248,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_121525,c_103090]) ).
tcf(c_122249,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_121525,c_103089]) ).
tcf(c_122251,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_101216]) ).
tcf(c_122253,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_100051]) ).
tcf(c_122254,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_121525,c_97312]) ).
tcf(c_122266,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_91797]) ).
tcf(c_122267,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_90858]) ).
tcf(c_122269,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_121525,c_89236]) ).
tcf(c_122270,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_87579]) ).
tcf(c_122271,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_86680]) ).
tcf(c_122280,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_66117]) ).
tcf(c_122299,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_48478]) ).
tcf(c_122300,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_121525,c_39651]) ).
tcf(c_122312,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_121525,c_34530]) ).
tcf(c_122313,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_121525,c_34527]) ).
tcf(c_122314,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_26788]) ).
tcf(c_122315,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_26546]) ).
tcf(c_122316,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_26422]) ).
tcf(c_122317,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_25284]) ).
tcf(c_122319,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_24883]) ).
tcf(c_122325,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(identity,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_121525,c_2927]) ).
tcf(c_122326,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_121525,c_2926]) ).
tcf(c_122341,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_1132]) ).
tcf(c_122342,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_1125]) ).
tcf(c_122343,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_1082]) ).
tcf(c_122344,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_1081]) ).
tcf(c_122345,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_1080]) ).
tcf(c_122346,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_1079]) ).
tcf(c_122347,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_121525,c_2947]) ).
tcf(c_122362,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_121525,c_931]) ).
tcf(c_122373,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,identity) = identity ) ),
inference(superposition,[status(thm)],[c_121525,c_1103]) ).
tcf(c_122374,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_121525,c_578]) ).
tcf(c_122375,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_577]) ).
tcf(c_122376,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_121525,c_593]) ).
tcf(c_122377,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_121525,c_567]) ).
tcf(c_122378,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_121525,c_592]) ).
tcf(c_122380,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_121525,c_589]) ).
tcf(c_122437,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_122325,c_98]) ).
tcf(c_122708,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_122362,c_15984]) ).
tcf(c_122709,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_122362,c_15955]) ).
tcf(c_122712,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_122708,c_53942]) ).
tcf(c_122755,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_122712,c_98717]) ).
tcf(c_122764,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_122712,c_66049]) ).
tcf(c_122788,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_44070]) ).
tcf(c_122789,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_43804]) ).
tcf(c_122790,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_122712,c_38079]) ).
tcf(c_122792,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_122712,c_38028]) ).
tcf(c_122800,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_4424]) ).
tcf(c_122803,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_3989]) ).
tcf(c_122805,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_122712,c_12170]) ).
tcf(c_122806,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_122712,c_2927]) ).
tcf(c_122807,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_2104]) ).
tcf(c_122808,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_2029]) ).
tcf(c_122809,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_1959]) ).
tcf(c_122810,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_1845]) ).
tcf(c_122811,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_1647]) ).
tcf(c_122812,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_1598]) ).
tcf(c_122813,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_1556]) ).
tcf(c_122814,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_1487]) ).
tcf(c_122819,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_122712,c_2942]) ).
tcf(c_122820,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_122712,c_1108]) ).
tcf(c_122821,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122712,c_577]) ).
tcf(c_122918,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_122764,c_116481]) ).
tcf(c_122925,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_122764,c_103089]) ).
tcf(c_122930,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122764,c_100051]) ).
tcf(c_122936,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_122764,c_5997]) ).
tcf(c_122937,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_122764,c_5996]) ).
tcf(c_122964,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_122764,c_44213]) ).
tcf(c_122975,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_122764,c_3816]) ).
tcf(c_122977,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_122764,c_2925]) ).
tcf(c_122981,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_122764,c_1327]) ).
tcf(c_122982,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_122764,c_1303]) ).
tcf(c_122983,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_122764,c_1279]) ).
tcf(c_122984,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_122764,c_1201]) ).
tcf(c_122986,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_122764,c_2948]) ).
tcf(c_122987,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_122764,c_1102]) ).
tcf(c_122989,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_122764,c_580]) ).
tcf(c_122990,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_122989,c_53942]) ).
tcf(c_123055,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_20,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_98717,c_6319]) ).
tcf(c_123086,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_92475,c_6319]) ).
tcf(c_123093,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_20) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6319]) ).
tcf(c_123095,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,identity) = multiply(iPr_def_23,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_86149,c_6319]) ).
tcf(c_123096,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,identity) = multiply(iPr_def_23,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_85872,c_6319]) ).
tcf(c_123097,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,identity) = multiply(iPr_def_23,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_85838,c_6319]) ).
tcf(c_123098,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,identity) = multiply(iPr_def_23,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_83996,c_6319]) ).
tcf(c_123100,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_23,X0)),multiply(sk_c2,multiply(multiply(iPr_def_20,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6319,c_14924]) ).
tcf(c_123101,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_6319,c_14868]) ).
tcf(c_123102,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(multiply(iPr_def_20,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6319,c_100]) ).
tcf(c_123103,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(iPr_def_23,X1))) = multiply(iPr_def_20,X1) ) ),
inference(superposition,[status(thm)],[c_6319,c_14924]) ).
tcf(c_123104,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c2,iPr_def_20)),multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6319,c_14924]) ).
tcf(c_123105,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = multiply(iPr_def_13,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_6319,c_38079]) ).
tcf(c_123106,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_6319,c_2942]) ).
tcf(c_123144,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_122375,c_15955]) ).
tcf(c_123193,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123144,c_98717]) ).
tcf(c_123203,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123144,c_66049]) ).
tcf(c_123226,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_123144,c_53869]) ).
tcf(c_123227,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_123144,c_53866]) ).
tcf(c_123229,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123144,c_43804]) ).
tcf(c_123230,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_123144,c_38079]) ).
tcf(c_123232,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_123144,c_38028]) ).
tcf(c_123240,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123144,c_4424]) ).
tcf(c_123245,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_123144,c_12170]) ).
tcf(c_123246,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_123144,c_2927]) ).
tcf(c_123247,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123144,c_2104]) ).
tcf(c_123248,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123144,c_2029]) ).
tcf(c_123249,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123144,c_1959]) ).
tcf(c_123250,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123144,c_1845]) ).
tcf(c_123259,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_123144,c_2942]) ).
tcf(c_123260,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_123144,c_1108]) ).
tcf(c_123261,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123144,c_577]) ).
tcf(c_123262,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_123144,c_569]) ).
tcf(c_123276,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_123259,c_5123]) ).
tcf(c_123320,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_117705,c_123262]) ).
tcf(c_123322,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_109186,c_123262]) ).
tcf(c_123323,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_123262]) ).
tcf(c_123324,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_93962,c_123262]) ).
tcf(c_123325,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88905,c_123262]) ).
tcf(c_123330,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30693,c_123262]) ).
tcf(c_123332,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28896,c_123262]) ).
tcf(c_123337,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_123262,c_584]) ).
tcf(c_123345,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_123262,c_38079]) ).
tcf(c_123346,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_123262,c_38028]) ).
tcf(c_123352,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_123323,c_53942]) ).
tcf(c_123399,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_122821]) ).
tcf(c_123401,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_122821]) ).
tcf(c_123403,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_122821]) ).
tcf(c_123415,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78891,c_122821]) ).
tcf(c_123424,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_122821]) ).
tcf(c_123458,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_122821]) ).
tcf(c_123472,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_122821,c_14924]) ).
tcf(c_123473,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_122821,c_14868]) ).
tcf(c_123475,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_122821,c_14924]) ).
tcf(c_123477,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_122821,c_53869]) ).
tcf(c_123541,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_122990,c_98717]) ).
tcf(c_123574,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_44070]) ).
tcf(c_123575,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_43804]) ).
tcf(c_123576,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_122990,c_38079]) ).
tcf(c_123578,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_122990,c_38028]) ).
tcf(c_123586,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_4424]) ).
tcf(c_123589,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_3989]) ).
tcf(c_123591,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_122990,c_12170]) ).
tcf(c_123592,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_122990,c_2927]) ).
tcf(c_123593,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_2104]) ).
tcf(c_123594,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_2029]) ).
tcf(c_123595,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_1959]) ).
tcf(c_123596,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_1845]) ).
tcf(c_123597,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_1647]) ).
tcf(c_123598,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_1598]) ).
tcf(c_123599,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_1556]) ).
tcf(c_123600,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_122990,c_1487]) ).
tcf(c_123608,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_122990,c_569]) ).
tcf(c_123610,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_123589,c_5612]) ).
tcf(c_123643,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_123574,c_5612]) ).
tcf(c_123691,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123203,c_118857]) ).
tcf(c_123696,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123203,c_116481]) ).
tcf(c_123704,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123203,c_103089]) ).
tcf(c_123709,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123203,c_100051]) ).
tcf(c_123718,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_123203,c_5997]) ).
tcf(c_123719,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_123203,c_5996]) ).
tcf(c_123746,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123203,c_44213]) ).
tcf(c_123755,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_123203,c_23565]) ).
tcf(c_123756,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_123203,c_23562]) ).
tcf(c_123757,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123203,c_3816]) ).
tcf(c_123759,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_123203,c_2925]) ).
tcf(c_123763,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123203,c_1327]) ).
tcf(c_123764,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123203,c_1303]) ).
tcf(c_123765,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123203,c_1279]) ).
tcf(c_123766,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123203,c_1201]) ).
tcf(c_123768,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_123203,c_2948]) ).
tcf(c_123769,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_123203,c_1102]) ).
tcf(c_123771,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_123203,c_580]) ).
tcf(c_123786,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_123696,c_38018]) ).
tcf(c_123885,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_121592]) ).
tcf(c_123886,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_120617]) ).
tcf(c_123890,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_112542]) ).
tcf(c_123894,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_102475]) ).
tcf(c_123902,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_91102]) ).
tcf(c_123907,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_87343]) ).
tcf(c_123925,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_123610,c_75732]) ).
tcf(c_123927,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_66485]) ).
tcf(c_123936,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_44747]) ).
tcf(c_123941,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_24760]) ).
tcf(c_123942,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_24515]) ).
tcf(c_123943,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_24472]) ).
tcf(c_123944,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_24428]) ).
tcf(c_123946,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_24214]) ).
tcf(c_123949,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_123610,c_2925]) ).
tcf(c_123951,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_123610,c_2923]) ).
tcf(c_123952,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_123610,c_2921]) ).
tcf(c_124094,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_122821]) ).
tcf(c_124100,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_114118]) ).
tcf(c_124101,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_112304]) ).
tcf(c_124104,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_104110]) ).
tcf(c_124109,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_101216]) ).
tcf(c_124111,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_100051]) ).
tcf(c_124124,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_91797]) ).
tcf(c_124125,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_90858]) ).
tcf(c_124128,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_87579]) ).
tcf(c_124129,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_86680]) ).
tcf(c_124138,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_66117]) ).
tcf(c_124157,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_123691,c_48478]) ).
tcf(c_124170,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_123691,c_34530]) ).
tcf(c_124171,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_123691,c_34527]) ).
tcf(c_124172,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_123691,c_26788]) ).
tcf(c_124173,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_123691,c_26546]) ).
tcf(c_124174,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_123691,c_26422]) ).
tcf(c_124175,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_123691,c_25284]) ).
tcf(c_124177,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_123691,c_24883]) ).
tcf(c_124178,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_123691,c_26791]) ).
tcf(c_124180,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_123691,c_26421]) ).
tcf(c_124181,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_123691,c_25282]) ).
tcf(c_124183,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_123691,c_2927]) ).
tcf(c_124184,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_123691,c_2926]) ).
tcf(c_124201,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_123691,c_1082]) ).
tcf(c_124203,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_123691,c_1080]) ).
tcf(c_124206,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_123691,c_2098]) ).
tcf(c_124207,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_123691,c_2024]) ).
tcf(c_124210,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_123691,c_1842]) ).
tcf(c_124241,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = identity ) ),
inference(light_normalisation,[status(thm)],[c_124171,c_38018]) ).
tcf(c_124265,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_124170,c_35632]) ).
tcf(c_124474,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_626,c_121952]) ).
tcf(c_124475,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_623,c_121952]) ).
tcf(c_124476,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_617,c_121952]) ).
tcf(c_124477,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_614,c_121952]) ).
tcf(c_124478,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_608,c_121952]) ).
tcf(c_124479,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_605,c_121952]) ).
tcf(c_124480,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121952]) ).
tcf(c_124481,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_121952]) ).
tcf(c_124482,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121952,c_14924]) ).
tcf(c_124483,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121952,c_14868]) ).
tcf(c_124484,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121952,c_100]) ).
tcf(c_124485,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121952,c_14924]) ).
tcf(c_124486,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121952,c_45370]) ).
tcf(c_124487,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121952,c_5133]) ).
tcf(c_124488,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121952,c_5131]) ).
tcf(c_124489,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121952,c_5129]) ).
tcf(c_124490,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121952,c_5127]) ).
tcf(c_124491,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121952,c_5125]) ).
tcf(c_124492,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121952,c_68514]) ).
tcf(c_124682,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_626,c_121953]) ).
tcf(c_124683,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_623,c_121953]) ).
tcf(c_124684,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_617,c_121953]) ).
tcf(c_124685,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_614,c_121953]) ).
tcf(c_124686,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_608,c_121953]) ).
tcf(c_124687,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_605,c_121953]) ).
tcf(c_124688,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121953]) ).
tcf(c_124689,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_121953]) ).
tcf(c_124690,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121953,c_14924]) ).
tcf(c_124691,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121953,c_14868]) ).
tcf(c_124692,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121953,c_100]) ).
tcf(c_124693,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121953,c_14924]) ).
tcf(c_124699,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_121953,c_5201]) ).
tcf(c_124700,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121953,c_68514]) ).
tcf(c_125014,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_617,c_121954]) ).
tcf(c_125015,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_614,c_121954]) ).
tcf(c_125016,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_608,c_121954]) ).
tcf(c_125017,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_605,c_121954]) ).
tcf(c_125018,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121954]) ).
tcf(c_125019,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_121954]) ).
tcf(c_125020,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121954,c_14924]) ).
tcf(c_125021,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121954,c_14868]) ).
tcf(c_125022,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121954,c_100]) ).
tcf(c_125023,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121954,c_14924]) ).
tcf(c_125024,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121954,c_45370]) ).
tcf(c_125025,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121954,c_5133]) ).
tcf(c_125026,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121954,c_5131]) ).
tcf(c_125027,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121954,c_5129]) ).
tcf(c_125028,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121954,c_5127]) ).
tcf(c_125030,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121954,c_68514]) ).
tcf(c_125110,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_617,c_121955]) ).
tcf(c_125111,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_614,c_121955]) ).
tcf(c_125112,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_608,c_121955]) ).
tcf(c_125113,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_605,c_121955]) ).
tcf(c_125114,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121955]) ).
tcf(c_125115,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_121955]) ).
tcf(c_125116,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121955,c_14924]) ).
tcf(c_125117,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121955,c_14868]) ).
tcf(c_125118,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121955,c_100]) ).
tcf(c_125119,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121955,c_14924]) ).
tcf(c_125125,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_121955,c_5201]) ).
tcf(c_125126,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121955,c_68514]) ).
tcf(c_125218,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_608,c_121956]) ).
tcf(c_125219,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_605,c_121956]) ).
tcf(c_125220,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121956]) ).
tcf(c_125221,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_121956]) ).
tcf(c_125222,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121956,c_14924]) ).
tcf(c_125223,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121956,c_14868]) ).
tcf(c_125224,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121956,c_100]) ).
tcf(c_125225,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121956,c_14924]) ).
tcf(c_125226,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121956,c_45370]) ).
tcf(c_125227,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121956,c_5133]) ).
tcf(c_125228,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121956,c_5131]) ).
tcf(c_125229,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121956,c_5129]) ).
tcf(c_125232,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121956,c_68514]) ).
tcf(c_125364,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_18,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_98717,c_6331]) ).
tcf(c_125395,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_18) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6331]) ).
tcf(c_125399,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_23,X0)),multiply(sk_c2,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6331,c_14924]) ).
tcf(c_125400,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_6331,c_14868]) ).
tcf(c_125401,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(multiply(iPr_def_18,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6331,c_100]) ).
tcf(c_125402,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(iPr_def_23,X1))) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_6331,c_14924]) ).
tcf(c_125403,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c2,iPr_def_18)),multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6331,c_14924]) ).
tcf(c_125404,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = multiply(iPr_def_13,multiply(iPr_def_18,X0)) ) ),
inference(superposition,[status(thm)],[c_6331,c_38079]) ).
tcf(c_125405,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_6331,c_2942]) ).
tcf(c_125440,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_117705,c_123771]) ).
tcf(c_125442,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_109186,c_123771]) ).
tcf(c_125443,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99528,c_123771]) ).
tcf(c_125444,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_93962,c_123771]) ).
tcf(c_125445,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88905,c_123771]) ).
tcf(c_125448,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_31259,c_123771]) ).
tcf(c_125449,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_30942,c_123771]) ).
tcf(c_125450,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_30693,c_123771]) ).
tcf(c_125451,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_29411,c_123771]) ).
tcf(c_125452,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28896,c_123771]) ).
tcf(c_125453,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28667,c_123771]) ).
tcf(c_125457,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_123771,c_584]) ).
tcf(c_125467,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_123771,c_38079]) ).
tcf(c_125468,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_123771,c_38028]) ).
tcf(c_125479,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_125443,c_53942]) ).
tcf(c_125527,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_117705,c_123261]) ).
tcf(c_125528,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116341,c_123261]) ).
tcf(c_125529,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_109186,c_123261]) ).
tcf(c_125530,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_123261]) ).
tcf(c_125531,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93962,c_123261]) ).
tcf(c_125532,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88905,c_123261]) ).
tcf(c_125533,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67817,c_123261]) ).
tcf(c_125534,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34351,c_123261]) ).
tcf(c_125541,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28510,c_123261]) ).
tcf(c_125544,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117997,c_123261]) ).
tcf(c_125545,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_123261]) ).
tcf(c_125546,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_123261]) ).
tcf(c_125548,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_123261]) ).
tcf(c_125558,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_123261]) ).
tcf(c_125561,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_67851,c_123261]) ).
tcf(c_125568,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_123261]) ).
tcf(c_125602,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_123261]) ).
tcf(c_125603,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_123261]) ).
tcf(c_125616,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_23,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_123261,c_14924]) ).
tcf(c_125617,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_123261,c_14868]) ).
tcf(c_125619,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_123261,c_14924]) ).
tcf(c_125621,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123261,c_54058]) ).
tcf(c_125623,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_123261,c_5123]) ).
tcf(c_125632,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_125623,c_5120]) ).
tcf(c_125764,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123786,c_98717]) ).
tcf(c_125775,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c1 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123786,c_66049]) ).
tcf(c_125800,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_44070]) ).
tcf(c_125801,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_43804]) ).
tcf(c_125802,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_25,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_123786,c_38079]) ).
tcf(c_125804,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),iPr_def_25) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_123786,c_38028]) ).
tcf(c_125812,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_4424]) ).
tcf(c_125814,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_4098]) ).
tcf(c_125815,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_3989]) ).
tcf(c_125816,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_3910]) ).
tcf(c_125817,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_25,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_123786,c_12170]) ).
tcf(c_125818,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_123786,c_2927]) ).
tcf(c_125819,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_2104]) ).
tcf(c_125820,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_2029]) ).
tcf(c_125821,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_1959]) ).
tcf(c_125822,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_1845]) ).
tcf(c_125823,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_1647]) ).
tcf(c_125824,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_1598]) ).
tcf(c_125825,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_1556]) ).
tcf(c_125826,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_1487]) ).
tcf(c_125831,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_123786,c_2942]) ).
tcf(c_125832,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_123786,c_1108]) ).
tcf(c_125833,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123786,c_577]) ).
tcf(c_125834,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_123786,c_569]) ).
tcf(c_126004,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_124241,c_98717]) ).
tcf(c_126037,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_124241,c_53869]) ).
tcf(c_126038,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_124241,c_53866]) ).
tcf(c_126039,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_44070]) ).
tcf(c_126040,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_43804]) ).
tcf(c_126041,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(identity,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_124241,c_38079]) ).
tcf(c_126043,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_124241,c_38028]) ).
tcf(c_126051,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_4424]) ).
tcf(c_126054,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_3989]) ).
tcf(c_126056,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_124241,c_12170]) ).
tcf(c_126057,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_124241,c_2927]) ).
tcf(c_126058,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_2104]) ).
tcf(c_126059,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_2029]) ).
tcf(c_126060,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_1959]) ).
tcf(c_126061,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(identity,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_1845]) ).
tcf(c_126062,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_1647]) ).
tcf(c_126063,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_1598]) ).
tcf(c_126064,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_1556]) ).
tcf(c_126065,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(identity,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_124241,c_1487]) ).
tcf(c_126073,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_124241,c_569]) ).
tcf(c_126081,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_15) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_126043,c_53923]) ).
tcf(c_126123,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),X0) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_126041,c_98]) ).
tcf(c_126378,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_125775,c_116481]) ).
tcf(c_126386,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_125775,c_103089]) ).
tcf(c_126391,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_125775,c_100051]) ).
tcf(c_126400,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_125775,c_5997]) ).
tcf(c_126401,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_125775,c_5996]) ).
tcf(c_126428,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_125775,c_44213]) ).
tcf(c_126439,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_125775,c_3816]) ).
tcf(c_126441,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_125775,c_2925]) ).
tcf(c_126445,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_125775,c_1327]) ).
tcf(c_126446,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_125775,c_1303]) ).
tcf(c_126447,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_125775,c_1279]) ).
tcf(c_126448,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_125775,c_1201]) ).
tcf(c_126450,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_125775,c_2948]) ).
tcf(c_126451,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_125775,c_1102]) ).
tcf(c_126453,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_125775,c_580]) ).
tcf(c_126456,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = identity ) ),
inference(light_normalisation,[status(thm)],[c_126451,c_5612]) ).
tcf(c_126467,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_126450,c_5615]) ).
tcf(c_126531,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_120617]) ).
tcf(c_126535,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_112542]) ).
tcf(c_126539,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_102475]) ).
tcf(c_126547,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_91102]) ).
tcf(c_126552,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_87343]) ).
tcf(c_126554,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_126456,c_80108]) ).
tcf(c_126555,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_126456,c_80103]) ).
tcf(c_126556,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_126456,c_80099]) ).
tcf(c_126557,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_126456,c_78515]) ).
tcf(c_126569,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(inverse(iPr_def_18),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_126456,c_75732]) ).
tcf(c_126581,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_44747]) ).
tcf(c_126586,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_24760]) ).
tcf(c_126587,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_24515]) ).
tcf(c_126588,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_24472]) ).
tcf(c_126589,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_24428]) ).
tcf(c_126591,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_24214]) ).
tcf(c_126594,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(identity,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_126456,c_2925]) ).
tcf(c_126596,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(identity,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_126456,c_2923]) ).
tcf(c_126597,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(identity,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_126456,c_2921]) ).
tcf(c_126632,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,X0) = multiply(iPr_def_21,X0) ) ),
inference(light_normalisation,[status(thm)],[c_126597,c_98]) ).
tcf(c_126635,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_126596,c_98]) ).
tcf(c_126638,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,X0) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_126594,c_98]) ).
tcf(c_126696,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_608,c_121957]) ).
tcf(c_126697,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_605,c_121957]) ).
tcf(c_126698,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121957]) ).
tcf(c_126699,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_121957]) ).
tcf(c_126700,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121957,c_14924]) ).
tcf(c_126701,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121957,c_14868]) ).
tcf(c_126702,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121957,c_100]) ).
tcf(c_126703,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121957,c_14924]) ).
tcf(c_126709,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_121957,c_5201]) ).
tcf(c_126710,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121957,c_68514]) ).
tcf(c_126753,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_101731,c_121958]) ).
tcf(c_126754,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_101647,c_121958]) ).
tcf(c_126756,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52664,c_121958]) ).
tcf(c_126757,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52662,c_121958]) ).
tcf(c_126758,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50282,c_121958]) ).
tcf(c_126759,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50280,c_121958]) ).
tcf(c_126768,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_626,c_121958]) ).
tcf(c_126769,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_623,c_121958]) ).
tcf(c_126770,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_617,c_121958]) ).
tcf(c_126771,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_614,c_121958]) ).
tcf(c_126772,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_608,c_121958]) ).
tcf(c_126773,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_605,c_121958]) ).
tcf(c_126774,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121958]) ).
tcf(c_126775,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_121958]) ).
tcf(c_126776,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121958,c_14924]) ).
tcf(c_126777,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121958,c_14868]) ).
tcf(c_126778,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121958,c_100]) ).
tcf(c_126779,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121958,c_14924]) ).
tcf(c_126780,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121958,c_45370]) ).
tcf(c_126781,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121958,c_5133]) ).
tcf(c_126782,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121958,c_5131]) ).
tcf(c_126786,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121958,c_68514]) ).
tcf(c_126931,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_101731,c_121959]) ).
tcf(c_126932,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_101647,c_121959]) ).
tcf(c_126934,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52664,c_121959]) ).
tcf(c_126935,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52662,c_121959]) ).
tcf(c_126936,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50282,c_121959]) ).
tcf(c_126937,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50280,c_121959]) ).
tcf(c_126946,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_626,c_121959]) ).
tcf(c_126947,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_623,c_121959]) ).
tcf(c_126948,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_617,c_121959]) ).
tcf(c_126949,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_614,c_121959]) ).
tcf(c_126950,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_608,c_121959]) ).
tcf(c_126951,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_605,c_121959]) ).
tcf(c_126952,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121959]) ).
tcf(c_126953,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_121959]) ).
tcf(c_126954,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121959,c_14924]) ).
tcf(c_126955,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121959,c_14868]) ).
tcf(c_126956,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(iPr_def_14,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121959,c_100]) ).
tcf(c_126957,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121959,c_14924]) ).
tcf(c_126963,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_121959,c_5201]) ).
tcf(c_126964,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121959,c_68514]) ).
tcf(c_127126,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121960]) ).
tcf(c_127127,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_121960]) ).
tcf(c_127128,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121960,c_14924]) ).
tcf(c_127129,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121960,c_14868]) ).
tcf(c_127130,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121960,c_100]) ).
tcf(c_127131,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121960,c_14924]) ).
tcf(c_127132,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121960,c_45370]) ).
tcf(c_127133,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121960,c_5133]) ).
tcf(c_127138,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121960,c_68514]) ).
tcf(c_127272,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_590,c_121961]) ).
tcf(c_127273,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_587,c_121961]) ).
tcf(c_127274,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121961,c_14924]) ).
tcf(c_127275,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121961,c_14868]) ).
tcf(c_127276,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121961,c_100]) ).
tcf(c_127277,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_121961,c_14924]) ).
tcf(c_127283,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_121961,c_5201]) ).
tcf(c_127284,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,iPr_def_18)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_121961,c_68514]) ).
tcf(c_127334,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121977,c_14924]) ).
tcf(c_127335,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121977,c_14868]) ).
tcf(c_127336,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121977,c_100]) ).
tcf(c_127337,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121977,c_14924]) ).
tcf(c_127338,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121977,c_2943]) ).
tcf(c_127403,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121979,c_14924]) ).
tcf(c_127404,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121979,c_14868]) ).
tcf(c_127405,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121979,c_100]) ).
tcf(c_127406,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121979,c_14924]) ).
tcf(c_127407,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121979,c_2943]) ).
tcf(c_127446,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121981,c_14924]) ).
tcf(c_127447,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121981,c_14868]) ).
tcf(c_127448,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121981,c_100]) ).
tcf(c_127449,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121981,c_14924]) ).
tcf(c_127450,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121981,c_2943]) ).
tcf(c_127474,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c3) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6351]) ).
tcf(c_127478,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_92503,c_6351]) ).
tcf(c_127505,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(iPr_def_22,multiply(multiply(sk_c3,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6351,c_14924]) ).
tcf(c_127506,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),multiply(iPr_def_24,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_6351,c_14868]) ).
tcf(c_127507,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(multiply(sk_c3,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6351,c_100]) ).
tcf(c_127508,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(sk_c3,X1) ) ),
inference(superposition,[status(thm)],[c_6351,c_14924]) ).
tcf(c_127509,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c3)),multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6351,c_14924]) ).
tcf(c_127511,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_24,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_6351,c_39109]) ).
tcf(c_127600,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_104901,c_125834]) ).
tcf(c_127604,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86151,c_125834]) ).
tcf(c_127620,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11120,c_125834]) ).
tcf(c_127625,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_125834,c_584]) ).
tcf(c_127706,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_104901,c_126453]) ).
tcf(c_127710,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_86151,c_126453]) ).
tcf(c_127731,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c10 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_126453,c_584]) ).
tcf(c_127770,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_104901,c_125833]) ).
tcf(c_127793,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_125833]) ).
tcf(c_127794,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_125833]) ).
tcf(c_127796,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_125833]) ).
tcf(c_127798,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_125833]) ).
tcf(c_127810,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78891,c_125833]) ).
tcf(c_127811,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77463,c_125833]) ).
tcf(c_127812,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_67851,c_125833]) ).
tcf(c_127819,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_125833]) ).
tcf(c_127826,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10242,c_125833]) ).
tcf(c_127853,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_125833]) ).
tcf(c_127854,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_919,c_125833]) ).
tcf(c_127867,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_25,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_125833,c_14924]) ).
tcf(c_127868,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_125833,c_14868]) ).
tcf(c_127870,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_125833,c_14924]) ).
tcf(c_127874,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_125833,c_5381]) ).
tcf(c_127876,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_125833,c_5398]) ).
tcf(c_127877,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_125833,c_5397]) ).
tcf(c_127878,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_125833,c_5396]) ).
tcf(c_127879,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_125833,c_5395]) ).
tcf(c_127880,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,sk_c10) = multiply(iPr_def_26,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_125833,c_5615]) ).
tcf(c_127973,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_117705,c_52806]) ).
tcf(c_127974,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116341,c_52806]) ).
tcf(c_127975,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_109186,c_52806]) ).
tcf(c_127976,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_52806]) ).
tcf(c_127977,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93962,c_52806]) ).
tcf(c_127978,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88905,c_52806]) ).
tcf(c_127979,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67817,c_52806]) ).
tcf(c_127983,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30693,c_52806]) ).
tcf(c_127985,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28896,c_52806]) ).
tcf(c_127988,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_52806,c_14868]) ).
tcf(c_127989,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_52806,c_99]) ).
tcf(c_127990,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_52806,c_584]) ).
tcf(c_127996,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_52806,c_38079]) ).
tcf(c_127997,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_52806,c_38028]) ).
tcf(c_127998,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_127985,c_53942]) ).
tcf(c_128007,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_127983,c_53942]) ).
tcf(c_128014,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_127976,c_53942]) ).
tcf(c_128167,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_127998,c_98717]) ).
tcf(c_128177,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_64852]) ).
tcf(c_128178,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_63672]) ).
tcf(c_128179,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_127998,c_64248]) ).
tcf(c_128181,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_127998,c_63377]) ).
tcf(c_128200,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_44070]) ).
tcf(c_128201,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_43804]) ).
tcf(c_128202,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_127998,c_38079]) ).
tcf(c_128204,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_127998,c_38028]) ).
tcf(c_128217,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_127998,c_12170]) ).
tcf(c_128218,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_127998,c_2927]) ).
tcf(c_128219,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_2104]) ).
tcf(c_128220,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_2029]) ).
tcf(c_128221,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_1959]) ).
tcf(c_128222,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_1845]) ).
tcf(c_128223,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_1647]) ).
tcf(c_128224,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_1598]) ).
tcf(c_128225,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_1556]) ).
tcf(c_128226,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_1487]) ).
tcf(c_128231,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_127998,c_2942]) ).
tcf(c_128232,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_127998,c_1108]) ).
tcf(c_128233,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127998,c_577]) ).
tcf(c_128359,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_128181,c_6273]) ).
tcf(c_128361,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128181,c_6272]) ).
tcf(c_128363,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_128181,c_6251]) ).
tcf(c_128366,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128181,c_6250]) ).
tcf(c_128370,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128181,c_100051]) ).
tcf(c_128392,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128181,c_64314]) ).
tcf(c_128404,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128181,c_44213]) ).
tcf(c_128413,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128181,c_23565]) ).
tcf(c_128414,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_128181,c_23562]) ).
tcf(c_128417,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_128181,c_2925]) ).
tcf(c_128419,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128181,c_1705]) ).
tcf(c_128420,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128181,c_1357]) ).
tcf(c_128421,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128181,c_1327]) ).
tcf(c_128422,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128181,c_1303]) ).
tcf(c_128423,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128181,c_1279]) ).
tcf(c_128424,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128181,c_1201]) ).
tcf(c_128426,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128181,c_2948]) ).
tcf(c_128427,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_128181,c_1102]) ).
tcf(c_128428,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128181,c_579]) ).
tcf(c_128429,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_128181,c_580]) ).
tcf(c_128430,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_128429,c_53942]) ).
tcf(c_128535,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_128430,c_98717]) ).
tcf(c_128544,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_64852]) ).
tcf(c_128545,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_63672]) ).
tcf(c_128546,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_128430,c_64248]) ).
tcf(c_128548,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_128430,c_63377]) ).
tcf(c_128558,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_128430,c_53950]) ).
tcf(c_128559,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_128430,c_53949]) ).
tcf(c_128568,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_44070]) ).
tcf(c_128569,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_43804]) ).
tcf(c_128570,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_128430,c_38079]) ).
tcf(c_128572,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_128430,c_38028]) ).
tcf(c_128583,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_3989]) ).
tcf(c_128584,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_3910]) ).
tcf(c_128585,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_128430,c_12170]) ).
tcf(c_128586,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_128430,c_2927]) ).
tcf(c_128587,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_2104]) ).
tcf(c_128588,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_2029]) ).
tcf(c_128589,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_1959]) ).
tcf(c_128590,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_1845]) ).
tcf(c_128591,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_1647]) ).
tcf(c_128592,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_1598]) ).
tcf(c_128593,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_1556]) ).
tcf(c_128594,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_1487]) ).
tcf(c_128601,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128430,c_577]) ).
tcf(c_128602,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_128430,c_569]) ).
tcf(c_128625,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_128594,c_5612]) ).
tcf(c_128629,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_128593,c_5612]) ).
tcf(c_128633,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_128592,c_5612]) ).
tcf(c_128637,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_128591,c_5612]) ).
tcf(c_128660,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_128568,c_5612]) ).
tcf(c_128750,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_121983,c_14924]) ).
tcf(c_128751,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121983,c_14868]) ).
tcf(c_128752,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_121983,c_100]) ).
tcf(c_128753,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121983,c_14924]) ).
tcf(c_128754,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_121983,c_2943]) ).
tcf(c_128779,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_124474,c_14924]) ).
tcf(c_128780,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_124474,c_14868]) ).
tcf(c_128781,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_124474,c_100]) ).
tcf(c_128782,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_124474,c_14924]) ).
tcf(c_128783,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_124474,c_45370]) ).
tcf(c_128784,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_124474,c_5133]) ).
tcf(c_128785,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_124474,c_5131]) ).
tcf(c_128786,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_124474,c_5129]) ).
tcf(c_128787,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_124474,c_5127]) ).
tcf(c_128834,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_124475,c_14924]) ).
tcf(c_128835,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_124475,c_14868]) ).
tcf(c_128836,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_124475,c_100]) ).
tcf(c_128837,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_124475,c_14924]) ).
tcf(c_128838,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_124475,c_45370]) ).
tcf(c_128839,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_124475,c_5133]) ).
tcf(c_128840,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_124475,c_5131]) ).
tcf(c_128841,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_124475,c_5129]) ).
tcf(c_128842,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_124475,c_5127]) ).
tcf(c_128843,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_124475,c_5125]) ).
tcf(c_128893,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_124682,c_14924]) ).
tcf(c_128894,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_124682,c_14868]) ).
tcf(c_128895,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_124682,c_100]) ).
tcf(c_128896,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_124682,c_14924]) ).
tcf(c_128902,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_19) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_124682,c_5201]) ).
tcf(c_128947,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_124683,c_14924]) ).
tcf(c_128948,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_124683,c_14868]) ).
tcf(c_128949,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_124683,c_100]) ).
tcf(c_128950,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_124683,c_14924]) ).
tcf(c_128956,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_124683,c_5201]) ).
tcf(c_128958,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_124683,c_49098]) ).
tcf(c_129014,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_125014,c_14924]) ).
tcf(c_129015,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125014,c_14868]) ).
tcf(c_129016,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_125014,c_100]) ).
tcf(c_129017,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125014,c_14924]) ).
tcf(c_129018,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125014,c_45370]) ).
tcf(c_129019,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125014,c_5133]) ).
tcf(c_129020,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125014,c_5131]) ).
tcf(c_129021,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125014,c_5129]) ).
tcf(c_129085,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_125015,c_14924]) ).
tcf(c_129086,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125015,c_14868]) ).
tcf(c_129087,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_125015,c_100]) ).
tcf(c_129088,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125015,c_14924]) ).
tcf(c_129089,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125015,c_45370]) ).
tcf(c_129090,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125015,c_5133]) ).
tcf(c_129091,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125015,c_5131]) ).
tcf(c_129092,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125015,c_5129]) ).
tcf(c_129093,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125015,c_5127]) ).
tcf(c_129133,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_125110,c_14924]) ).
tcf(c_129134,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125110,c_14868]) ).
tcf(c_129135,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_125110,c_100]) ).
tcf(c_129136,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125110,c_14924]) ).
tcf(c_129142,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_19) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_125110,c_5201]) ).
tcf(c_129197,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c3) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6367]) ).
tcf(c_129201,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_92503,c_6367]) ).
tcf(c_129228,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(iPr_def_21,multiply(multiply(sk_c3,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6367,c_14924]) ).
tcf(c_129229,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_24,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_6367,c_14868]) ).
tcf(c_129230,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(multiply(sk_c3,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6367,c_100]) ).
tcf(c_129231,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(sk_c3,X1) ) ),
inference(superposition,[status(thm)],[c_6367,c_14924]) ).
tcf(c_129232,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_21,sk_c3)),multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6367,c_14924]) ).
tcf(c_129236,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(sk_c3,X0)) = multiply(iPr_def_22,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_6367,c_5372]) ).
tcf(c_129360,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_109186,c_127989]) ).
tcf(c_129361,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_99528,c_127989]) ).
tcf(c_129362,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_93962,c_127989]) ).
tcf(c_129368,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_30693,c_127989]) ).
tcf(c_129373,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_127989,c_14924]) ).
tcf(c_129374,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127989,c_14868]) ).
tcf(c_129375,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_127989,c_100]) ).
tcf(c_129376,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_127989,c_14924]) ).
tcf(c_129379,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_127989,c_5123]) ).
tcf(c_129381,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_129374,c_53923]) ).
tcf(c_129399,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),X0) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_129376,c_15955]) ).
tcf(c_129402,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_129373,c_15984]) ).
tcf(c_129445,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_128233]) ).
tcf(c_129449,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_128233]) ).
tcf(c_129451,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_128233]) ).
tcf(c_129460,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_128233]) ).
tcf(c_129462,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78891,c_128233]) ).
tcf(c_129471,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_128233]) ).
tcf(c_129503,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_128233]) ).
tcf(c_129504,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_128233]) ).
tcf(c_129519,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_128233,c_14924]) ).
tcf(c_129520,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_128233,c_14868]) ).
tcf(c_129522,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_128233,c_14924]) ).
tcf(c_129523,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(iPr_def_15) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_128233,c_582]) ).
tcf(c_129524,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_128233,c_53869]) ).
tcf(c_129551,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != sk_c2 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_129523,c_53942]) ).
tcf(c_129588,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_128428]) ).
tcf(c_129589,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_128428]) ).
tcf(c_129591,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_128428]) ).
tcf(c_129598,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_128428]) ).
tcf(c_129599,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_128428]) ).
tcf(c_129600,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_128428]) ).
tcf(c_129620,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_128428,c_14924]) ).
tcf(c_129621,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_128428,c_14868]) ).
tcf(c_129623,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_128428,c_14924]) ).
tcf(c_129624,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_128428,c_53869]) ).
tcf(c_129662,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_128601]) ).
tcf(c_129676,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4792,c_128601]) ).
tcf(c_129677,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_128601]) ).
tcf(c_129682,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_128601]) ).
tcf(c_129683,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_128601]) ).
tcf(c_129685,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_128601]) ).
tcf(c_129686,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_128601]) ).
tcf(c_129687,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_128601]) ).
tcf(c_129688,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_128601]) ).
tcf(c_129697,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_128601]) ).
tcf(c_129708,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_128601]) ).
tcf(c_129740,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_949,c_128601]) ).
tcf(c_129741,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_128601]) ).
tcf(c_129742,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_128601]) ).
tcf(c_129756,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_128601,c_14924]) ).
tcf(c_129757,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_128601,c_14868]) ).
tcf(c_129759,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_128601,c_14924]) ).
tcf(c_129760,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(iPr_def_26) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_128601,c_582]) ).
tcf(c_129763,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_128601,c_5394]) ).
tcf(c_129764,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_128601,c_5393]) ).
tcf(c_129765,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_128601,c_5392]) ).
tcf(c_129766,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_128601,c_5391]) ).
tcf(c_129767,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_128601,c_23565]) ).
tcf(c_129827,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c1 != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_129760,c_23929]) ).
tcf(c_130213,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_128548,c_6273]) ).
tcf(c_130214,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128548,c_6272]) ).
tcf(c_130217,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_128548,c_6251]) ).
tcf(c_130220,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128548,c_6250]) ).
tcf(c_130223,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128548,c_100051]) ).
tcf(c_130238,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128548,c_76111]) ).
tcf(c_130246,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128548,c_64314]) ).
tcf(c_130258,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128548,c_44213]) ).
tcf(c_130271,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_128548,c_2925]) ).
tcf(c_130273,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128548,c_1705]) ).
tcf(c_130274,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128548,c_1357]) ).
tcf(c_130275,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128548,c_1327]) ).
tcf(c_130276,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128548,c_1303]) ).
tcf(c_130277,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128548,c_1279]) ).
tcf(c_130278,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128548,c_1201]) ).
tcf(c_130280,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128548,c_2948]) ).
tcf(c_130281,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_128548,c_1102]) ).
tcf(c_130282,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128548,c_579]) ).
tcf(c_130283,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_128548,c_580]) ).
tcf(c_130368,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_128559,c_96784]) ).
tcf(c_130378,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128559,c_64852]) ).
tcf(c_130379,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_64851]) ).
tcf(c_130380,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128559,c_63672]) ).
tcf(c_130381,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_63671]) ).
tcf(c_130390,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128559,c_43804]) ).
tcf(c_130391,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_43803]) ).
tcf(c_130394,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_38237]) ).
tcf(c_130395,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_37963]) ).
tcf(c_130396,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_37836]) ).
tcf(c_130397,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_37425]) ).
tcf(c_130398,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128559,c_5394]) ).
tcf(c_130399,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128559,c_5393]) ).
tcf(c_130400,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128559,c_5392]) ).
tcf(c_130401,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128559,c_5391]) ).
tcf(c_130402,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128559,c_23565]) ).
tcf(c_130403,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_128559,c_23929]) ).
tcf(c_130404,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_128559,c_23562]) ).
tcf(c_130412,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_128559,c_5615]) ).
tcf(c_130420,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_7255]) ).
tcf(c_130421,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_7180]) ).
tcf(c_130422,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_6849]) ).
tcf(c_130423,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_6425]) ).
tcf(c_130424,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128559,c_2104]) ).
tcf(c_130425,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_2103]) ).
tcf(c_130426,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_128559,c_2102]) ).
tcf(c_130427,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128559,c_2029]) ).
tcf(c_130428,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_2028]) ).
tcf(c_130429,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_128559,c_2027]) ).
tcf(c_130430,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128559,c_1959]) ).
tcf(c_130431,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_1958]) ).
tcf(c_130432,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_128559,c_1957]) ).
tcf(c_130433,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_128559,c_1845]) ).
tcf(c_130434,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_128559,c_1844]) ).
tcf(c_130435,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_128559,c_1843]) ).
tcf(c_130440,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128559,c_4792]) ).
tcf(c_130441,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_128559,c_4507]) ).
tcf(c_130446,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_128559,c_5612]) ).
tcf(c_130447,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_128559,c_2948]) ).
tcf(c_130448,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_128559,c_1102]) ).
tcf(c_130451,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_130403,c_35515]) ).
tcf(c_130596,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_130440,c_126453]) ).
tcf(c_130597,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_130440,c_125834]) ).
tcf(c_130604,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130440,c_6271]) ).
tcf(c_130605,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_130440,c_6251]) ).
tcf(c_130606,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_130440,c_6250]) ).
tcf(c_130608,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130440,c_6249]) ).
tcf(c_130620,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_130440,c_76389]) ).
tcf(c_130627,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_130440,c_23961]) ).
tcf(c_130635,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130440,c_48478]) ).
tcf(c_130641,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130440,c_44072]) ).
tcf(c_130653,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130440,c_26788]) ).
tcf(c_130654,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130440,c_26546]) ).
tcf(c_130655,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130440,c_26422]) ).
tcf(c_130656,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130440,c_25284]) ).
tcf(c_130659,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130440,c_27656]) ).
tcf(c_130660,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130440,c_25055]) ).
tcf(c_130661,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130440,c_24883]) ).
tcf(c_130667,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130440,c_27276]) ).
tcf(c_130676,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_130440,c_5615]) ).
tcf(c_130703,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130440,c_1649]) ).
tcf(c_130704,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130440,c_1600]) ).
tcf(c_130705,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130440,c_1558]) ).
tcf(c_130706,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130440,c_1489]) ).
tcf(c_130708,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130440,c_5612]) ).
tcf(c_130718,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_130706,c_35515]) ).
tcf(c_130722,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_130705,c_35515]) ).
tcf(c_130726,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_130704,c_35515]) ).
tcf(c_130730,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_130703,c_35515]) ).
tcf(c_130734,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_130641,c_35515]) ).
tcf(c_130738,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_130627,c_35515]) ).
tcf(c_130749,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_130656,c_34527]) ).
tcf(c_130753,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_130655,c_34527]) ).
tcf(c_130757,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_130654,c_34527]) ).
tcf(c_130761,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_130653,c_34527]) ).
tcf(c_130765,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_130635,c_34527]) ).
tcf(c_130869,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_130451,c_116481]) ).
tcf(c_130870,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_130451,c_6273]) ).
tcf(c_130872,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_130451,c_6272]) ).
tcf(c_130875,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_130451,c_6251]) ).
tcf(c_130877,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_130451,c_6250]) ).
tcf(c_130881,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130451,c_100051]) ).
tcf(c_130904,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130451,c_64314]) ).
tcf(c_130905,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130451,c_63442]) ).
tcf(c_130906,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130451,c_64271]) ).
tcf(c_130908,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130451,c_63400]) ).
tcf(c_130916,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_130451,c_44213]) ).
tcf(c_130925,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_130451,c_23565]) ).
tcf(c_130926,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_130451,c_23562]) ).
tcf(c_130929,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_130451,c_2925]) ).
tcf(c_130931,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_130451,c_1705]) ).
tcf(c_130932,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_130451,c_1357]) ).
tcf(c_130933,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_130451,c_1327]) ).
tcf(c_130934,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_130451,c_1303]) ).
tcf(c_130935,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_130451,c_1279]) ).
tcf(c_130936,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_130451,c_1201]) ).
tcf(c_130938,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_130451,c_2948]) ).
tcf(c_130939,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_130451,c_1102]) ).
tcf(c_130940,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_130451,c_579]) ).
tcf(c_130941,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_130451,c_580]) ).
tcf(c_130979,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_25 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_130931,c_34527]) ).
tcf(c_131060,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_125111,c_14924]) ).
tcf(c_131061,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125111,c_14868]) ).
tcf(c_131062,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_125111,c_100]) ).
tcf(c_131063,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125111,c_14924]) ).
tcf(c_131069,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_125111,c_5201]) ).
tcf(c_131071,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_125111,c_49098]) ).
tcf(c_131105,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_125218,c_14924]) ).
tcf(c_131106,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125218,c_14868]) ).
tcf(c_131107,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_125218,c_100]) ).
tcf(c_131108,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125218,c_14924]) ).
tcf(c_131109,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125218,c_45370]) ).
tcf(c_131110,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125218,c_5133]) ).
tcf(c_131111,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_125218,c_5131]) ).
tcf(c_131146,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_125219,c_14924]) ).
tcf(c_131147,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125219,c_14868]) ).
tcf(c_131148,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_125219,c_100]) ).
tcf(c_131149,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125219,c_14924]) ).
tcf(c_131150,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125219,c_45370]) ).
tcf(c_131151,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125219,c_5133]) ).
tcf(c_131152,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125219,c_5131]) ).
tcf(c_131153,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_125219,c_5129]) ).
tcf(c_131234,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_126696,c_14924]) ).
tcf(c_131235,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_126696,c_14868]) ).
tcf(c_131236,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_126696,c_100]) ).
tcf(c_131237,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_126696,c_14924]) ).
tcf(c_131243,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_19) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_126696,c_5201]) ).
tcf(c_131273,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_126697,c_14924]) ).
tcf(c_131274,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_126697,c_14868]) ).
tcf(c_131275,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_126697,c_100]) ).
tcf(c_131276,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_126697,c_14924]) ).
tcf(c_131282,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_126697,c_5201]) ).
tcf(c_131284,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c9 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_126697,c_49098]) ).
tcf(c_131318,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_127126,c_14924]) ).
tcf(c_131319,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_127126,c_14868]) ).
tcf(c_131320,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_127126,c_100]) ).
tcf(c_131321,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_127126,c_14924]) ).
tcf(c_131322,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_127126,c_45370]) ).
tcf(c_131324,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_127126,c_5131]) ).
tcf(c_131371,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_127127,c_14924]) ).
tcf(c_131372,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_17),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_127127,c_14868]) ).
tcf(c_131373,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_127127,c_100]) ).
tcf(c_131374,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_127127,c_14924]) ).
tcf(c_131375,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_127127,c_45370]) ).
tcf(c_131376,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_127127,c_5133]) ).
tcf(c_131377,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_127127,c_5131]) ).
tcf(c_131422,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_127272,c_14924]) ).
tcf(c_131423,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_127272,c_14868]) ).
tcf(c_131424,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_127272,c_100]) ).
tcf(c_131425,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_127272,c_14924]) ).
tcf(c_131431,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_19) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_127272,c_5201]) ).
tcf(c_131514,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c3) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6383]) ).
tcf(c_131518,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_92503,c_6383]) ).
tcf(c_131545,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(iPr_def_20,multiply(multiply(sk_c3,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6383,c_14924]) ).
tcf(c_131546,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_24,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_6383,c_14868]) ).
tcf(c_131547,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(multiply(sk_c3,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6383,c_100]) ).
tcf(c_131548,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(sk_c3,X1) ) ),
inference(superposition,[status(thm)],[c_6383,c_14924]) ).
tcf(c_131549,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c3)),multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6383,c_14924]) ).
tcf(c_131551,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_6383,c_92475]) ).
tcf(c_131558,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(sk_c3,X0)) = multiply(iPr_def_19,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_6383,c_5362]) ).
tcf(c_131665,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_96784,c_130282]) ).
tcf(c_131668,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_83999,c_130282]) ).
tcf(c_131676,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_14212,c_130282]) ).
tcf(c_131682,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4792,c_130282]) ).
tcf(c_131683,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4507,c_130282]) ).
tcf(c_131691,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_130282]) ).
tcf(c_131699,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_130282]) ).
tcf(c_131700,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_130282]) ).
tcf(c_131720,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_130282,c_14924]) ).
tcf(c_131721,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130282,c_14868]) ).
tcf(c_131723,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130282,c_14924]) ).
tcf(c_131726,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130282,c_5394]) ).
tcf(c_131727,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130282,c_5393]) ).
tcf(c_131728,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130282,c_5392]) ).
tcf(c_131729,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130282,c_5391]) ).
tcf(c_131730,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130282,c_23565]) ).
tcf(c_131793,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_121525,c_130940]) ).
tcf(c_131807,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_92509,c_130940]) ).
tcf(c_131810,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77463,c_130940]) ).
tcf(c_131812,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64470,c_130940]) ).
tcf(c_131818,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39651,c_130940]) ).
tcf(c_131819,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39649,c_130940]) ).
tcf(c_131820,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_39648,c_130940]) ).
tcf(c_131854,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_629,c_130940]) ).
tcf(c_131855,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_628,c_130940]) ).
tcf(c_131856,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_627,c_130940]) ).
tcf(c_131857,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_625,c_130940]) ).
tcf(c_131858,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_620,c_130940]) ).
tcf(c_131859,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_619,c_130940]) ).
tcf(c_131860,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_618,c_130940]) ).
tcf(c_131861,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_616,c_130940]) ).
tcf(c_131872,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89697,c_130940]) ).
tcf(c_131877,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_130940]) ).
tcf(c_131878,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_130940]) ).
tcf(c_131898,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c10,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_130940,c_14924]) ).
tcf(c_131899,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(sk_c10),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130940,c_14868]) ).
tcf(c_131901,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_130940,c_14924]) ).
tcf(c_131902,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = multiply(iPr_def_23,sk_c9) ) ),
inference(superposition,[status(thm)],[c_130940,c_2927]) ).
tcf(c_131957,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_131878,c_34527]) ).
tcf(c_131962,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_131877,c_34527]) ).
tcf(c_131982,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c1,X0),X1) = multiply(sk_c1,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_23561,c_23929]) ).
tcf(c_131996,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_130667,c_127989]) ).
tcf(c_131997,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130667,c_52806]) ).
tcf(c_131998,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130667,c_123261]) ).
tcf(c_132014,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_130667,c_80317]) ).
tcf(c_132017,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_130667,c_54058]) ).
tcf(c_132018,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_130667,c_38079]) ).
tcf(c_132019,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130667,c_38028]) ).
tcf(c_132020,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_130667,c_38018]) ).
tcf(c_132031,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_130667,c_5123]) ).
tcf(c_132033,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_7259]) ).
tcf(c_132034,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_7255]) ).
tcf(c_132035,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_7184]) ).
tcf(c_132036,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_7180]) ).
tcf(c_132037,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_6853]) ).
tcf(c_132038,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_6849]) ).
tcf(c_132039,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_6429]) ).
tcf(c_132040,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_6425]) ).
tcf(c_132041,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_1139]) ).
tcf(c_132044,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_1082]) ).
tcf(c_132046,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130667,c_1080]) ).
tcf(c_132048,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_130667,c_5120]) ).
tcf(c_132056,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,sk_c2) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_132019,c_35515]) ).
tcf(c_132060,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_132046,c_34527]) ).
tcf(c_132064,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_132044,c_34527]) ).
tcf(c_132068,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_132041,c_34527]) ).
tcf(c_132102,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c10,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_132018,c_35515]) ).
tcf(c_132243,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130908,c_128601]) ).
tcf(c_132244,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130908,c_128233]) ).
tcf(c_132246,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130908,c_123261]) ).
tcf(c_132262,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130908,c_100051]) ).
tcf(c_132288,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130908,c_64314]) ).
tcf(c_132289,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130908,c_63442]) ).
tcf(c_132295,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_130908,c_12073]) ).
tcf(c_132296,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_130908,c_61092]) ).
tcf(c_132306,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130908,c_48478]) ).
tcf(c_132315,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130908,c_36123]) ).
tcf(c_132316,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_130908,c_36122]) ).
tcf(c_132321,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130908,c_26788]) ).
tcf(c_132322,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130908,c_26546]) ).
tcf(c_132323,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130908,c_26422]) ).
tcf(c_132324,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130908,c_25284]) ).
tcf(c_132332,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_130908,c_2927]) ).
tcf(c_132333,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_130908,c_2926]) ).
tcf(c_132345,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130908,c_1139]) ).
tcf(c_132350,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130908,c_1082]) ).
tcf(c_132352,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_130908,c_1080]) ).
tcf(c_132354,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_130908,c_2947]) ).
tcf(c_132371,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_130908,c_582]) ).
tcf(c_132383,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_130908,c_593]) ).
tcf(c_132385,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_130908,c_592]) ).
tcf(c_132386,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_130908,c_591]) ).
tcf(c_132387,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_130908,c_589]) ).
tcf(c_132506,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_130667,c_53835]) ).
tcf(c_132507,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_117705,c_53835]) ).
tcf(c_132508,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_116341,c_53835]) ).
tcf(c_132509,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_109186,c_53835]) ).
tcf(c_132510,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99528,c_53835]) ).
tcf(c_132511,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_93962,c_53835]) ).
tcf(c_132512,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_88905,c_53835]) ).
tcf(c_132513,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_67817,c_53835]) ).
tcf(c_132517,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30693,c_53835]) ).
tcf(c_132522,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_53835,c_14868]) ).
tcf(c_132523,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_53835,c_99]) ).
tcf(c_132524,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_11
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c10 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_53835,c_584]) ).
tcf(c_132530,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_53835,c_38079]) ).
tcf(c_132531,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_53835,c_38028]) ).
tcf(c_132532,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_132517,c_53942]) ).
tcf(c_132544,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c2 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_132510,c_53942]) ).
tcf(c_132612,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_132532,c_98717]) ).
tcf(c_132622,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_64852]) ).
tcf(c_132624,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_132532,c_64248]) ).
tcf(c_132645,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_44070]) ).
tcf(c_132646,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_43804]) ).
tcf(c_132647,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_132532,c_38079]) ).
tcf(c_132649,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_132532,c_38028]) ).
tcf(c_132662,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_23,sk_c3) ) ),
inference(superposition,[status(thm)],[c_132532,c_12170]) ).
tcf(c_132663,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_132532,c_2927]) ).
tcf(c_132664,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_2104]) ).
tcf(c_132665,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_2029]) ).
tcf(c_132666,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_1959]) ).
tcf(c_132667,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_1845]) ).
tcf(c_132668,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_1647]) ).
tcf(c_132669,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_1598]) ).
tcf(c_132670,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_1556]) ).
tcf(c_132671,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_1487]) ).
tcf(c_132676,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_132532,c_2942]) ).
tcf(c_132677,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_132532,c_1108]) ).
tcf(c_132678,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132532,c_577]) ).
tcf(c_132753,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_127273,c_14924]) ).
tcf(c_132754,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_127273,c_14868]) ).
tcf(c_132755,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_127273,c_100]) ).
tcf(c_132756,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_127273,c_14924]) ).
tcf(c_132762,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_17,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_127273,c_5201]) ).
tcf(c_132764,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_127273,c_49098]) ).
tcf(c_132840,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c3) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6399]) ).
tcf(c_132844,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_92503,c_6399]) ).
tcf(c_132871,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(iPr_def_18,multiply(multiply(sk_c3,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6399,c_14924]) ).
tcf(c_132872,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_24,X0)) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_6399,c_14868]) ).
tcf(c_132873,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(multiply(sk_c3,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6399,c_100]) ).
tcf(c_132874,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(sk_c3,X1) ) ),
inference(superposition,[status(thm)],[c_6399,c_14924]) ).
tcf(c_132875,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c3)),multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6399,c_14924]) ).
tcf(c_133001,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_130667,c_132523]) ).
tcf(c_133002,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_117705,c_132523]) ).
tcf(c_133004,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_109186,c_132523]) ).
tcf(c_133005,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_99528,c_132523]) ).
tcf(c_133006,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_93962,c_132523]) ).
tcf(c_133007,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_88905,c_132523]) ).
tcf(c_133017,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_132523,c_14924]) ).
tcf(c_133018,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132523,c_14868]) ).
tcf(c_133019,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_132523,c_100]) ).
tcf(c_133020,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132523,c_14924]) ).
tcf(c_133023,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_132523,c_5123]) ).
tcf(c_133025,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_133018,c_53923]) ).
tcf(c_133049,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),X0) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_133020,c_15955]) ).
tcf(c_133052,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_23,multiply(iPr_def_23,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_133017,c_15984]) ).
tcf(c_133061,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130908,c_132678]) ).
tcf(c_133062,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_132678]) ).
tcf(c_133064,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117997,c_132678]) ).
tcf(c_133066,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_132678]) ).
tcf(c_133068,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_132678]) ).
tcf(c_133077,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_132678]) ).
tcf(c_133078,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_132678]) ).
tcf(c_133079,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_78891,c_132678]) ).
tcf(c_133088,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_132678]) ).
tcf(c_133121,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_132678]) ).
tcf(c_133136,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_132678,c_14924]) ).
tcf(c_133137,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_132678,c_14868]) ).
tcf(c_133139,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_132678,c_14924]) ).
tcf(c_133140,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(iPr_def_15) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_132678,c_582]) ).
tcf(c_133141,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_132678,c_53869]) ).
tcf(c_133174,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != sk_c2 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_133140,c_53942]) ).
tcf(c_133221,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c10,X0),X1) = multiply(sk_c10,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_34526,c_35515]) ).
tcf(c_133222,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c4,X0),X1) = multiply(sk_c4,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_39105,c_39242]) ).
tcf(c_133275,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_132624,c_6251]) ).
tcf(c_133278,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_132624,c_6250]) ).
tcf(c_133282,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_132624,c_100051]) ).
tcf(c_133316,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_132624,c_44213]) ).
tcf(c_133325,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_132624,c_23565]) ).
tcf(c_133326,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_132624,c_23562]) ).
tcf(c_133329,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_132624,c_2925]) ).
tcf(c_133331,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_132624,c_1705]) ).
tcf(c_133332,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_132624,c_1357]) ).
tcf(c_133333,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_132624,c_1327]) ).
tcf(c_133334,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_132624,c_1303]) ).
tcf(c_133335,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_132624,c_1279]) ).
tcf(c_133336,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_132624,c_1201]) ).
tcf(c_133338,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_132624,c_2948]) ).
tcf(c_133339,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_132624,c_1102]) ).
tcf(c_133340,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_132624,c_579]) ).
tcf(c_133341,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_132624,c_580]) ).
tcf(c_133342,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_133341,c_53942]) ).
tcf(c_133440,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_133342,c_98717]) ).
tcf(c_133449,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_64852]) ).
tcf(c_133451,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_133342,c_64248]) ).
tcf(c_133463,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_133342,c_53950]) ).
tcf(c_133473,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_44070]) ).
tcf(c_133474,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_43804]) ).
tcf(c_133475,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_133342,c_38079]) ).
tcf(c_133477,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_133342,c_38028]) ).
tcf(c_133488,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_3989]) ).
tcf(c_133489,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_3910]) ).
tcf(c_133490,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c3) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_133342,c_12170]) ).
tcf(c_133491,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_133342,c_2927]) ).
tcf(c_133492,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_2104]) ).
tcf(c_133493,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_2029]) ).
tcf(c_133494,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_1959]) ).
tcf(c_133495,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_1845]) ).
tcf(c_133496,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_1647]) ).
tcf(c_133497,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_1598]) ).
tcf(c_133498,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_1556]) ).
tcf(c_133499,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_1487]) ).
tcf(c_133506,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133342,c_577]) ).
tcf(c_133507,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_133342,c_569]) ).
tcf(c_133524,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_133499,c_5612]) ).
tcf(c_133528,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_133498,c_5612]) ).
tcf(c_133532,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_133497,c_5612]) ).
tcf(c_133536,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_133496,c_5612]) ).
tcf(c_133559,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_133473,c_5612]) ).
tcf(c_133621,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_133451,c_6251]) ).
tcf(c_133624,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133451,c_6250]) ).
tcf(c_133627,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133451,c_100051]) ).
tcf(c_133642,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133451,c_76111]) ).
tcf(c_133662,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133451,c_44213]) ).
tcf(c_133675,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_133451,c_2925]) ).
tcf(c_133677,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133451,c_1705]) ).
tcf(c_133678,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133451,c_1357]) ).
tcf(c_133679,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133451,c_1327]) ).
tcf(c_133680,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133451,c_1303]) ).
tcf(c_133681,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133451,c_1279]) ).
tcf(c_133682,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133451,c_1201]) ).
tcf(c_133684,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133451,c_2948]) ).
tcf(c_133685,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_133451,c_1102]) ).
tcf(c_133686,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133451,c_579]) ).
tcf(c_133687,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_133451,c_580]) ).
tcf(c_133764,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_133463,c_96784]) ).
tcf(c_133774,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133463,c_64852]) ).
tcf(c_133775,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_64851]) ).
tcf(c_133786,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133463,c_43804]) ).
tcf(c_133787,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_43803]) ).
tcf(c_133790,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_38237]) ).
tcf(c_133791,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_37963]) ).
tcf(c_133792,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_37836]) ).
tcf(c_133793,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_37425]) ).
tcf(c_133794,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133463,c_5394]) ).
tcf(c_133795,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133463,c_5393]) ).
tcf(c_133796,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133463,c_5392]) ).
tcf(c_133797,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133463,c_5391]) ).
tcf(c_133798,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133463,c_23565]) ).
tcf(c_133799,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_133463,c_23929]) ).
tcf(c_133800,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_133463,c_23562]) ).
tcf(c_133808,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_25,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_133463,c_5615]) ).
tcf(c_133816,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_7255]) ).
tcf(c_133817,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_7180]) ).
tcf(c_133818,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_6849]) ).
tcf(c_133819,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_6425]) ).
tcf(c_133820,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133463,c_2104]) ).
tcf(c_133821,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_2103]) ).
tcf(c_133822,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_133463,c_2102]) ).
tcf(c_133823,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133463,c_2029]) ).
tcf(c_133824,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_2028]) ).
tcf(c_133825,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_133463,c_2027]) ).
tcf(c_133826,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133463,c_1959]) ).
tcf(c_133827,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_1958]) ).
tcf(c_133828,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_133463,c_1957]) ).
tcf(c_133829,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133463,c_1845]) ).
tcf(c_133830,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c3) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133463,c_1844]) ).
tcf(c_133831,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_133463,c_1843]) ).
tcf(c_133837,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133463,c_4507]) ).
tcf(c_133842,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133463,c_5612]) ).
tcf(c_133843,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133463,c_2948]) ).
tcf(c_133844,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_133463,c_1102]) ).
tcf(c_133847,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c1 = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_133799,c_35515]) ).
tcf(c_134128,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(sk_c1,sk_c10)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_23564,c_580,c_23929]) ).
tcf(c_134224,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_26,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_133451,c_134128]) ).
tcf(c_134225,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_15,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_132624,c_134128]) ).
tcf(c_134226,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(sk_c10,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_130451,c_134128]) ).
tcf(c_134227,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_26,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_128548,c_134128]) ).
tcf(c_134228,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_15,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_128181,c_134128]) ).
tcf(c_134234,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(sk_c10,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_116077,c_134128]) ).
tcf(c_134235,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_26,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_114067,c_134128]) ).
tcf(c_134237,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_15,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_112254,c_134128]) ).
tcf(c_134238,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(sk_c10,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_105861,c_134128]) ).
tcf(c_134239,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_26,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_104061,c_134128]) ).
tcf(c_134240,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_15,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_101168,c_134128]) ).
tcf(c_134241,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(sk_c10,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93115,c_134128]) ).
tcf(c_134242,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_26,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_91749,c_134128]) ).
tcf(c_134243,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_15,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_90811,c_134128]) ).
tcf(c_134244,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(sk_c10,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_88667,c_134128]) ).
tcf(c_134245,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_26,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_87533,c_134128]) ).
tcf(c_134246,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_15,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_86635,c_134128]) ).
tcf(c_134254,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64271,c_134128]) ).
tcf(c_134255,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_63400,c_134128]) ).
tcf(c_134256,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60824,c_134128]) ).
tcf(c_134257,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_58967,c_134128]) ).
tcf(c_134258,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_58304,c_134128]) ).
tcf(c_134259,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_56913,c_134128]) ).
tcf(c_134260,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_43810,c_134128]) ).
tcf(c_134261,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_23936,c_134128]) ).
tcf(c_134262,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_23935,c_134128]) ).
tcf(c_134263,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_23934,c_134128]) ).
tcf(c_134264,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_23933,c_134128]) ).
tcf(c_134267,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_13,multiply(sk_c1,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_130908,c_134128]) ).
tcf(c_134270,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_13,multiply(sk_c1,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_117997,c_134128]) ).
tcf(c_134272,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_13,multiply(sk_c1,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_109826,c_134128]) ).
tcf(c_134274,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_13,multiply(sk_c1,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_97285,c_134128]) ).
tcf(c_134275,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_18,multiply(sk_c1,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93673,c_134128]) ).
tcf(c_134276,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c1,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93672,c_134128]) ).
tcf(c_134277,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c1,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93671,c_134128]) ).
tcf(c_134278,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c1,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93670,c_134128]) ).
tcf(c_134279,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_18,multiply(sk_c1,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94938,c_134128]) ).
tcf(c_134280,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c1,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94673,c_134128]) ).
tcf(c_134281,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c1,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94394,c_134128]) ).
tcf(c_134282,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c1,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94097,c_134128]) ).
tcf(c_134283,plain,
( ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c1,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_92509,c_134128]) ).
tcf(c_134284,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_13,multiply(sk_c1,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_89211,c_134128]) ).
tcf(c_134288,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64470,c_134128]) ).
tcf(c_134289,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_63522,c_134128]) ).
tcf(c_134290,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60967,c_134128]) ).
tcf(c_134291,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60379,c_134128]) ).
tcf(c_134292,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_58425,c_134128]) ).
tcf(c_134293,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_57105,c_134128]) ).
tcf(c_134294,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c1,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39651,c_134128]) ).
tcf(c_134295,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,multiply(sk_c1,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39649,c_134128]) ).
tcf(c_134296,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39648,c_134128]) ).
tcf(c_134297,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_18,multiply(sk_c1,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26791,c_134128]) ).
tcf(c_134298,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c1,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26547,c_134128]) ).
tcf(c_134299,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c1,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26421,c_134128]) ).
tcf(c_134300,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c1,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_25282,c_134128]) ).
tcf(c_134314,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c1,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2098,c_134128]) ).
tcf(c_134315,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c1,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2024,c_134128]) ).
tcf(c_134316,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c1,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1955,c_134128]) ).
tcf(c_134318,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_18,multiply(sk_c1,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1842,c_134128]) ).
tcf(c_134322,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c1,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_986,c_134128]) ).
tcf(c_134323,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c1,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_985,c_134128]) ).
tcf(c_134324,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c1,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_984,c_134128]) ).
tcf(c_134325,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c1,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_950,c_134128]) ).
tcf(c_134326,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c1,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_949,c_134128]) ).
tcf(c_134327,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c1,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_939,c_134128]) ).
tcf(c_134330,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_629,c_134128]) ).
tcf(c_134331,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_628,c_134128]) ).
tcf(c_134332,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_627,c_134128]) ).
tcf(c_134333,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,multiply(sk_c1,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_625,c_134128]) ).
tcf(c_134334,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,multiply(sk_c1,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_620,c_134128]) ).
tcf(c_134335,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,multiply(sk_c1,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_619,c_134128]) ).
tcf(c_134336,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,multiply(sk_c1,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_618,c_134128]) ).
tcf(c_134337,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,multiply(sk_c1,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_616,c_134128]) ).
tcf(c_134338,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_22,multiply(sk_c1,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_593,c_134128]) ).
tcf(c_134339,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c1,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_592,c_134128]) ).
tcf(c_134340,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c1,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_591,c_134128]) ).
tcf(c_134341,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_18,multiply(sk_c1,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_589,c_134128]) ).
tcf(c_134374,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134333,c_23562]) ).
tcf(c_134379,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134332,c_23562]) ).
tcf(c_134384,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134331,c_23562]) ).
tcf(c_134389,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134330,c_23562]) ).
tcf(c_134450,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134296,c_23562]) ).
tcf(c_134463,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134293,c_23562]) ).
tcf(c_134468,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134292,c_23562]) ).
tcf(c_134473,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134291,c_23562]) ).
tcf(c_134478,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134290,c_23562]) ).
tcf(c_134483,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134289,c_23562]) ).
tcf(c_134488,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134288,c_23562]) ).
tcf(c_134533,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134264,c_1103]) ).
tcf(c_134538,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134263,c_1103]) ).
tcf(c_134543,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134262,c_1103]) ).
tcf(c_134548,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134261,c_1103]) ).
tcf(c_134553,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134260,c_1103]) ).
tcf(c_134558,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134259,c_1103]) ).
tcf(c_134563,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134258,c_1103]) ).
tcf(c_134568,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134257,c_1103]) ).
tcf(c_134573,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134256,c_1103]) ).
tcf(c_134578,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134255,c_1103]) ).
tcf(c_134583,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_134254,c_1103]) ).
tcf(c_135034,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(sk_c10,multiply(sk_c10,sk_c10)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_34529,c_567,c_35515]) ).
tcf(c_135194,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_130908,c_135034]) ).
tcf(c_135197,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_117997,c_135034]) ).
tcf(c_135199,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_109826,c_135034]) ).
tcf(c_135201,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_97285,c_135034]) ).
tcf(c_135202,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93673,c_135034]) ).
tcf(c_135203,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93672,c_135034]) ).
tcf(c_135204,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_21,multiply(iPr_def_21,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93671,c_135034]) ).
tcf(c_135205,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93670,c_135034]) ).
tcf(c_135210,plain,
( ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_92509,c_135034]) ).
tcf(c_135211,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_89211,c_135034]) ).
tcf(c_135215,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64470,c_135034]) ).
tcf(c_135216,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_63522,c_135034]) ).
tcf(c_135217,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60967,c_135034]) ).
tcf(c_135218,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60379,c_135034]) ).
tcf(c_135219,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_58425,c_135034]) ).
tcf(c_135220,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_57105,c_135034]) ).
tcf(c_135221,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39651,c_135034]) ).
tcf(c_135222,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39649,c_135034]) ).
tcf(c_135223,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39648,c_135034]) ).
tcf(c_135224,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26791,c_135034]) ).
tcf(c_135225,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26547,c_135034]) ).
tcf(c_135226,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_21,multiply(iPr_def_21,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26421,c_135034]) ).
tcf(c_135227,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_25282,c_135034]) ).
tcf(c_135241,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2098,c_135034]) ).
tcf(c_135242,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_21,multiply(iPr_def_21,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2024,c_135034]) ).
tcf(c_135243,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1955,c_135034]) ).
tcf(c_135245,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1842,c_135034]) ).
tcf(c_135249,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_986,c_135034]) ).
tcf(c_135250,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_985,c_135034]) ).
tcf(c_135251,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_984,c_135034]) ).
tcf(c_135252,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_950,c_135034]) ).
tcf(c_135253,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_949,c_135034]) ).
tcf(c_135254,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_939,c_135034]) ).
tcf(c_135257,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_629,c_135034]) ).
tcf(c_135258,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_628,c_135034]) ).
tcf(c_135259,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_627,c_135034]) ).
tcf(c_135260,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_625,c_135034]) ).
tcf(c_135261,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_620,c_135034]) ).
tcf(c_135262,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_619,c_135034]) ).
tcf(c_135263,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_618,c_135034]) ).
tcf(c_135264,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_616,c_135034]) ).
tcf(c_135683,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_130908,c_6435]) ).
tcf(c_135684,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_123691,c_6435]) ).
tcf(c_135685,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_121525,c_6435]) ).
tcf(c_135686,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_117997,c_6435]) ).
tcf(c_135687,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_116365,c_6435]) ).
tcf(c_135688,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_109826,c_6435]) ).
tcf(c_135689,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_103080,c_6435]) ).
tcf(c_135690,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_97285,c_6435]) ).
tcf(c_135699,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_92509,c_6435]) ).
tcf(c_135700,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_89211,c_6435]) ).
tcf(c_135701,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_78891,c_6435]) ).
tcf(c_135702,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_77463,c_6435]) ).
tcf(c_135703,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_67851,c_6435]) ).
tcf(c_135710,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_39651,c_6435]) ).
tcf(c_135717,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_10242,c_6435]) ).
tcf(c_135738,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_986,c_6435]) ).
tcf(c_135739,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_985,c_6435]) ).
tcf(c_135740,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_984,c_6435]) ).
tcf(c_135741,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_950,c_6435]) ).
tcf(c_135742,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_949,c_6435]) ).
tcf(c_135743,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_939,c_6435]) ).
tcf(c_135744,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_931,c_6435]) ).
tcf(c_135745,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_919,c_6435]) ).
tcf(c_135758,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_54058,c_6435]) ).
tcf(c_135759,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_12415,c_6435]) ).
tcf(c_135760,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_24,sk_c10) ) ),
inference(superposition,[status(thm)],[c_123261,c_6435]) ).
tcf(c_135761,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_24,sk_c3) ) ),
inference(superposition,[status(thm)],[c_104936,c_6435]) ).
tcf(c_135762,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_24,sk_c3) ) ),
inference(superposition,[status(thm)],[c_16805,c_6435]) ).
tcf(c_135763,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_24,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_132523,c_6435]) ).
tcf(c_135764,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_24,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_127989,c_6435]) ).
tcf(c_135766,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_24,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_112157,c_6435]) ).
tcf(c_135767,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_24,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_101056,c_6435]) ).
tcf(c_135768,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_24,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_90693,c_6435]) ).
tcf(c_135769,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_24,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_86535,c_6435]) ).
tcf(c_135770,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_24,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_56116,c_6435]) ).
tcf(c_135771,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_23) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_15955,c_6435]) ).
tcf(c_135772,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,sk_c2) = multiply(iPr_def_24,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_38018,c_6435]) ).
tcf(c_135773,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_13,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_130667,c_6435]) ).
tcf(c_135774,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_13,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_117705,c_6435]) ).
tcf(c_135775,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_13,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_116341,c_6435]) ).
tcf(c_135776,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_13,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_109186,c_6435]) ).
tcf(c_135777,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_99528,c_6435]) ).
tcf(c_135778,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_13,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_93962,c_6435]) ).
tcf(c_135779,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_13,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_88905,c_6435]) ).
tcf(c_135780,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_13,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_67817,c_6435]) ).
tcf(c_135781,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_34351,c_6435]) ).
tcf(c_135782,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_31259,c_6435]) ).
tcf(c_135783,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_30942,c_6435]) ).
tcf(c_135784,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_30693,c_6435]) ).
tcf(c_135785,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_29411,c_6435]) ).
tcf(c_135786,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_28896,c_6435]) ).
tcf(c_135787,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_28667,c_6435]) ).
tcf(c_135788,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_28510,c_6435]) ).
tcf(c_135789,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(sk_c10,multiply(multiply(iPr_def_23,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6435,c_14924]) ).
tcf(c_135790,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_24,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_6435,c_14868]) ).
tcf(c_135791,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(multiply(iPr_def_23,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6435,c_100]) ).
tcf(c_135792,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(iPr_def_23,X1) ) ),
inference(superposition,[status(thm)],[c_6435,c_14924]) ).
tcf(c_135793,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c10,iPr_def_23)),multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6435,c_14924]) ).
tcf(c_135794,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(iPr_def_23) != sk_c10 )
| ( multiply(iPr_def_24,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_6435,c_582]) ).
tcf(c_135795,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_23,multiply(iPr_def_23,X0)) ) ),
inference(superposition,[status(thm)],[c_6435,c_2927]) ).
tcf(c_135796,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_24,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_6435,c_2947]) ).
tcf(c_135801,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_23,X0) ) ),
inference(light_normalisation,[status(thm)],[c_135796,c_5564]) ).
tcf(c_135807,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_23,multiply(sk_c3,X0)) = multiply(iPr_def_23,multiply(iPr_def_23,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_135795,c_12178]) ).
tcf(c_135875,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_135780,c_34530]) ).
tcf(c_135879,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_135779,c_34530]) ).
tcf(c_135883,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_135778,c_34530]) ).
tcf(c_135890,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_135776,c_34530]) ).
tcf(c_135894,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_135775,c_34530]) ).
tcf(c_135898,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_135774,c_34530]) ).
tcf(c_135902,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_135773,c_34530]) ).
tcf(c_135907,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_135744,c_5123]) ).
tcf(c_135911,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_135743,c_5123]) ).
tcf(c_135915,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_135742,c_5123]) ).
tcf(c_135919,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_135741,c_5123]) ).
tcf(c_135923,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_135740,c_5123]) ).
tcf(c_135927,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_135739,c_5123]) ).
tcf(c_135931,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_135738,c_5123]) ).
tcf(c_135951,plain,
! [X0: $i] :
( ( identity = iPr_def_13 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_135699,c_5123]) ).
tcf(c_136368,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_126456,c_133340]) ).
tcf(c_136369,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_123610,c_133340]) ).
tcf(c_136371,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_133340]) ).
tcf(c_136378,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_66615,c_133340]) ).
tcf(c_136379,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_133340]) ).
tcf(c_136380,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_133340]) ).
tcf(c_136400,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_133340,c_14924]) ).
tcf(c_136401,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133340,c_14868]) ).
tcf(c_136403,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133340,c_14924]) ).
tcf(c_136404,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133340,c_53869]) ).
tcf(c_137080,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_83999,c_133506]) ).
tcf(c_137095,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4507,c_133506]) ).
tcf(c_137100,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_130908,c_133506]) ).
tcf(c_137101,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_123691,c_133506]) ).
tcf(c_137102,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_121525,c_133506]) ).
tcf(c_137103,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_117997,c_133506]) ).
tcf(c_137104,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_116365,c_133506]) ).
tcf(c_137105,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_109826,c_133506]) ).
tcf(c_137106,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_103080,c_133506]) ).
tcf(c_137107,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_97285,c_133506]) ).
tcf(c_137116,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_13 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_92509,c_133506]) ).
tcf(c_137117,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89211,c_133506]) ).
tcf(c_137127,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39651,c_133506]) ).
tcf(c_137160,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_939,c_133506]) ).
tcf(c_137161,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_931,c_133506]) ).
tcf(c_137175,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_26,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_133506,c_14924]) ).
tcf(c_137176,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_133506,c_14868]) ).
tcf(c_137178,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_133506,c_14924]) ).
tcf(c_137179,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(iPr_def_26) != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_133506,c_582]) ).
tcf(c_137182,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_133506,c_5394]) ).
tcf(c_137183,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_133506,c_5393]) ).
tcf(c_137184,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_133506,c_5392]) ).
tcf(c_137185,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_133506,c_5391]) ).
tcf(c_137186,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_133506,c_23565]) ).
tcf(c_137249,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c1 != sk_c10 )
| ( multiply(sk_c10,iPr_def_23) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_137179,c_23929]) ).
tcf(c_137267,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_96784,c_133686]) ).
tcf(c_137270,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_83999,c_133686]) ).
tcf(c_137285,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4507,c_133686]) ).
tcf(c_137293,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_112979,c_133686]) ).
tcf(c_137301,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52657,c_133686]) ).
tcf(c_137302,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50275,c_133686]) ).
tcf(c_137322,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_133686,c_14924]) ).
tcf(c_137323,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133686,c_14868]) ).
tcf(c_137325,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133686,c_14924]) ).
tcf(c_137328,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133686,c_5394]) ).
tcf(c_137329,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133686,c_5393]) ).
tcf(c_137330,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133686,c_5392]) ).
tcf(c_137331,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133686,c_5391]) ).
tcf(c_137332,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_25) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133686,c_23565]) ).
tcf(c_137413,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c5,X0),X1) = multiply(sk_c5,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_39634,c_39687]) ).
tcf(c_137439,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_133837,c_126453]) ).
tcf(c_137440,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_133837,c_125834]) ).
tcf(c_137451,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133837,c_6249]) ).
tcf(c_137463,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_133837,c_76389]) ).
tcf(c_137478,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133837,c_48478]) ).
tcf(c_137484,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_133837,c_44072]) ).
tcf(c_137496,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133837,c_26788]) ).
tcf(c_137497,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133837,c_26546]) ).
tcf(c_137498,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133837,c_26422]) ).
tcf(c_137499,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133837,c_25284]) ).
tcf(c_137502,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133837,c_27656]) ).
tcf(c_137503,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133837,c_25055]) ).
tcf(c_137504,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_133837,c_24883]) ).
tcf(c_137519,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_13,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_133837,c_5615]) ).
tcf(c_137546,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_133837,c_1649]) ).
tcf(c_137547,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_133837,c_1600]) ).
tcf(c_137548,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_133837,c_1558]) ).
tcf(c_137549,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_133837,c_1489]) ).
tcf(c_137551,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_133837,c_5612]) ).
tcf(c_137558,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_137549,c_35515]) ).
tcf(c_137562,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_137548,c_35515]) ).
tcf(c_137566,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_137547,c_35515]) ).
tcf(c_137570,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_137546,c_35515]) ).
tcf(c_137574,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_137484,c_35515]) ).
tcf(c_137585,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_137499,c_34527]) ).
tcf(c_137589,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_137498,c_34527]) ).
tcf(c_137593,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_137497,c_34527]) ).
tcf(c_137597,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_137496,c_34527]) ).
tcf(c_137601,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_137478,c_34527]) ).
tcf(c_137678,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c10,multiply(sk_c10,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_133847,c_134128]) ).
tcf(c_137689,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133847,c_116481]) ).
tcf(c_137695,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_133847,c_6251]) ).
tcf(c_137697,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133847,c_6250]) ).
tcf(c_137701,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133847,c_100051]) ).
tcf(c_137724,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,sk_c10) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_133847,c_64314]) ).
tcf(c_137726,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_133847,c_64271]) ).
tcf(c_137736,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133847,c_44213]) ).
tcf(c_137745,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133847,c_23565]) ).
tcf(c_137746,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_133847,c_23562]) ).
tcf(c_137749,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,multiply(sk_c9,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_133847,c_2925]) ).
tcf(c_137751,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133847,c_1705]) ).
tcf(c_137752,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133847,c_1357]) ).
tcf(c_137753,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133847,c_1327]) ).
tcf(c_137754,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133847,c_1303]) ).
tcf(c_137755,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133847,c_1279]) ).
tcf(c_137756,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133847,c_1201]) ).
tcf(c_137758,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c10,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_133847,c_2948]) ).
tcf(c_137759,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_133847,c_1102]) ).
tcf(c_137760,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,sk_c9) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_133847,c_579]) ).
tcf(c_137761,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_133847,c_580]) ).
tcf(c_137796,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_25 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_137751,c_34527]) ).
tcf(c_137830,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_13,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_137502,c_6435]) ).
tcf(c_137831,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_137502,c_132523]) ).
tcf(c_137832,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_137502,c_53835]) ).
tcf(c_137835,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c10) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_137502,c_123261]) ).
tcf(c_137851,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_137502,c_80317]) ).
tcf(c_137854,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_137502,c_54058]) ).
tcf(c_137855,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_137502,c_38079]) ).
tcf(c_137856,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),sk_c2) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_137502,c_38028]) ).
tcf(c_137857,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_13) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_137502,c_38018]) ).
tcf(c_137868,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_13,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_137502,c_5123]) ).
tcf(c_137870,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_7259]) ).
tcf(c_137871,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_7255]) ).
tcf(c_137872,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_7184]) ).
tcf(c_137873,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_7180]) ).
tcf(c_137874,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_6853]) ).
tcf(c_137875,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_6849]) ).
tcf(c_137876,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_6429]) ).
tcf(c_137877,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_6425]) ).
tcf(c_137878,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_1139]) ).
tcf(c_137881,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_1082]) ).
tcf(c_137883,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137502,c_1080]) ).
tcf(c_137885,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_137502,c_5120]) ).
tcf(c_137893,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,sk_c2) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_137856,c_35515]) ).
tcf(c_137897,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_137883,c_34527]) ).
tcf(c_137901,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_137881,c_34527]) ).
tcf(c_137905,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_137878,c_34527]) ).
tcf(c_137939,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c10,multiply(sk_c2,X0)) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_137855,c_35515]) ).
tcf(c_137942,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_137830,c_34530]) ).
tcf(c_138077,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_137726,c_133506]) ).
tcf(c_138078,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_137726,c_6435]) ).
tcf(c_138079,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_137726,c_135034]) ).
tcf(c_138080,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_13,multiply(sk_c1,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_137726,c_134128]) ).
tcf(c_138081,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_137726,c_132678]) ).
tcf(c_138086,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_137726,c_123261]) ).
tcf(c_138102,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_137726,c_100051]) ).
tcf(c_138128,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_137726,c_64314]) ).
tcf(c_138135,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(iPr_def_24,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_137726,c_12073]) ).
tcf(c_138136,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_137726,c_61092]) ).
tcf(c_138146,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137726,c_48478]) ).
tcf(c_138155,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137726,c_36123]) ).
tcf(c_138156,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_137726,c_36122]) ).
tcf(c_138161,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137726,c_26788]) ).
tcf(c_138162,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137726,c_26546]) ).
tcf(c_138163,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137726,c_26422]) ).
tcf(c_138164,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137726,c_25284]) ).
tcf(c_138172,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_137726,c_2927]) ).
tcf(c_138173,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c3,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_137726,c_2926]) ).
tcf(c_138185,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137726,c_1139]) ).
tcf(c_138190,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137726,c_1082]) ).
tcf(c_138192,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_137726,c_1080]) ).
tcf(c_138194,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(iPr_def_13,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_137726,c_2947]) ).
tcf(c_138211,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_137726,c_582]) ).
tcf(c_138223,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_137726,c_593]) ).
tcf(c_138225,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_137726,c_592]) ).
tcf(c_138226,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_137726,c_591]) ).
tcf(c_138227,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_137726,c_589]) ).
tcf(c_138360,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(sk_c10,multiply(sk_c4,sk_c10)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_39108,c_576,c_39242]) ).
tcf(c_138448,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94271,c_138360]) ).
tcf(c_138450,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39246,c_138360]) ).
tcf(c_138451,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39245,c_138360]) ).
tcf(c_138452,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_13,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39244,c_138360]) ).
tcf(c_138453,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c4,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_137726,c_138360]) ).
tcf(c_138454,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c4,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_130908,c_138360]) ).
tcf(c_138457,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c4,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_117997,c_138360]) ).
tcf(c_138459,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c4,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_109826,c_138360]) ).
tcf(c_138461,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c4,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_97285,c_138360]) ).
tcf(c_138462,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_18,multiply(sk_c4,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93673,c_138360]) ).
tcf(c_138463,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_20,multiply(sk_c4,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93672,c_138360]) ).
tcf(c_138464,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_21,multiply(sk_c4,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93671,c_138360]) ).
tcf(c_138465,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_22,multiply(sk_c4,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93670,c_138360]) ).
tcf(c_138466,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_18,multiply(sk_c4,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94938,c_138360]) ).
tcf(c_138467,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_20,multiply(sk_c4,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94673,c_138360]) ).
tcf(c_138468,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_21,multiply(sk_c4,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94394,c_138360]) ).
tcf(c_138469,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_22,multiply(sk_c4,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94097,c_138360]) ).
tcf(c_138470,plain,
( ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c4,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_92509,c_138360]) ).
tcf(c_138471,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_13,multiply(sk_c4,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_89211,c_138360]) ).
tcf(c_138475,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64470,c_138360]) ).
tcf(c_138476,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_63522,c_138360]) ).
tcf(c_138477,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60967,c_138360]) ).
tcf(c_138478,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60379,c_138360]) ).
tcf(c_138479,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_58425,c_138360]) ).
tcf(c_138480,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_57105,c_138360]) ).
tcf(c_138481,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c4,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39651,c_138360]) ).
tcf(c_138482,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_25,multiply(sk_c4,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39649,c_138360]) ).
tcf(c_138483,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39648,c_138360]) ).
tcf(c_138484,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_18,multiply(sk_c4,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26791,c_138360]) ).
tcf(c_138485,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_20,multiply(sk_c4,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26547,c_138360]) ).
tcf(c_138486,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_21,multiply(sk_c4,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26421,c_138360]) ).
tcf(c_138487,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_22,multiply(sk_c4,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_25282,c_138360]) ).
tcf(c_138501,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_22,multiply(sk_c4,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2098,c_138360]) ).
tcf(c_138502,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_21,multiply(sk_c4,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2024,c_138360]) ).
tcf(c_138503,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_20,multiply(sk_c4,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1955,c_138360]) ).
tcf(c_138505,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_18,multiply(sk_c4,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1842,c_138360]) ).
tcf(c_138509,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c4,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_986,c_138360]) ).
tcf(c_138510,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c4,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_985,c_138360]) ).
tcf(c_138511,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c4,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_984,c_138360]) ).
tcf(c_138512,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c4,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_950,c_138360]) ).
tcf(c_138513,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c4,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_949,c_138360]) ).
tcf(c_138514,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c4,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_939,c_138360]) ).
tcf(c_138518,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_628,c_138360]) ).
tcf(c_138519,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_627,c_138360]) ).
tcf(c_138520,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_625,c_138360]) ).
tcf(c_138522,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_25,multiply(sk_c4,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_619,c_138360]) ).
tcf(c_138523,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_25,multiply(sk_c4,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_618,c_138360]) ).
tcf(c_138524,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_25,multiply(sk_c4,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_616,c_138360]) ).
tcf(c_138525,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_22,multiply(sk_c4,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_593,c_138360]) ).
tcf(c_138526,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_21,multiply(sk_c4,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_592,c_138360]) ).
tcf(c_138527,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_20,multiply(sk_c4,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_591,c_138360]) ).
tcf(c_138528,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_18,multiply(sk_c4,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_589,c_138360]) ).
tcf(c_138541,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_22,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_138525,c_39106]) ).
tcf(c_138606,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_22,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_138501,c_39106]) ).
tcf(c_138611,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_22,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_138487,c_39106]) ).
tcf(c_138672,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_22,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_138469,c_39106]) ).
tcf(c_138709,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_138452,c_1103]) ).
tcf(c_138714,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_138451,c_1103]) ).
tcf(c_138719,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_138450,c_1103]) ).
tcf(c_138724,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(sk_c10,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_138448,c_1103]) ).
tcf(c_138729,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_22 )
| ( multiply(iPr_def_22,identity) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_138465,c_39106]) ).
tcf(c_162077,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c10,multiply(sk_c5,sk_c10)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_39637,c_573,c_39687]) ).
tcf(c_162163,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c10,multiply(sk_c6,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_121381,c_162077]) ).
tcf(c_162164,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c5,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_137726,c_162077]) ).
tcf(c_162165,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c5,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_130908,c_162077]) ).
tcf(c_162168,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c5,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_117997,c_162077]) ).
tcf(c_162170,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c5,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_109826,c_162077]) ).
tcf(c_162172,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c5,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_97285,c_162077]) ).
tcf(c_162173,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_18,multiply(sk_c5,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93673,c_162077]) ).
tcf(c_162174,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,multiply(sk_c5,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93672,c_162077]) ).
tcf(c_162175,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_21,multiply(sk_c5,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93671,c_162077]) ).
tcf(c_162176,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_22,multiply(sk_c5,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93670,c_162077]) ).
tcf(c_162177,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_18,multiply(sk_c5,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94938,c_162077]) ).
tcf(c_162178,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,multiply(sk_c5,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94673,c_162077]) ).
tcf(c_162179,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_21,multiply(sk_c5,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94394,c_162077]) ).
tcf(c_162180,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_22,multiply(sk_c5,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_94097,c_162077]) ).
tcf(c_162181,plain,
( ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c5,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_92509,c_162077]) ).
tcf(c_162182,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c5,iPr_def_13)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_89211,c_162077]) ).
tcf(c_162186,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_64470,c_162077]) ).
tcf(c_162187,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_63522,c_162077]) ).
tcf(c_162188,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60967,c_162077]) ).
tcf(c_162189,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_60379,c_162077]) ).
tcf(c_162190,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_58425,c_162077]) ).
tcf(c_162191,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_57105,c_162077]) ).
tcf(c_162192,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c5,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39651,c_162077]) ).
tcf(c_162193,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c5,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39649,c_162077]) ).
tcf(c_162194,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_39648,c_162077]) ).
tcf(c_162195,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_18,multiply(sk_c5,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26791,c_162077]) ).
tcf(c_162196,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,multiply(sk_c5,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26547,c_162077]) ).
tcf(c_162197,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_21,multiply(sk_c5,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26421,c_162077]) ).
tcf(c_162198,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_22,multiply(sk_c5,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_25282,c_162077]) ).
tcf(c_162212,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_22,multiply(sk_c5,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2098,c_162077]) ).
tcf(c_162213,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_21,multiply(sk_c5,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2024,c_162077]) ).
tcf(c_162214,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,multiply(sk_c5,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1955,c_162077]) ).
tcf(c_162216,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_18,multiply(sk_c5,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1842,c_162077]) ).
tcf(c_162220,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c5,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_986,c_162077]) ).
tcf(c_162221,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c5,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_985,c_162077]) ).
tcf(c_162222,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c5,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_984,c_162077]) ).
tcf(c_162223,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c5,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_950,c_162077]) ).
tcf(c_162224,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c5,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_949,c_162077]) ).
tcf(c_162225,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c5,iPr_def_15)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_939,c_162077]) ).
tcf(c_162228,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_629,c_162077]) ).
tcf(c_162229,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_628,c_162077]) ).
tcf(c_162230,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_627,c_162077]) ).
tcf(c_162231,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c5,iPr_def_26)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_625,c_162077]) ).
tcf(c_162232,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c5,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_620,c_162077]) ).
tcf(c_162233,plain,
( ( sk_c10 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c5,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_619,c_162077]) ).
tcf(c_162234,plain,
( ( sk_c10 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c5,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_618,c_162077]) ).
tcf(c_162235,plain,
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c5,iPr_def_25)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_616,c_162077]) ).
tcf(c_162236,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_22,multiply(sk_c5,iPr_def_22)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_593,c_162077]) ).
tcf(c_162237,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_21,multiply(sk_c5,iPr_def_21)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_592,c_162077]) ).
tcf(c_162238,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,multiply(sk_c5,iPr_def_20)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_591,c_162077]) ).
tcf(c_162239,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_18,multiply(sk_c5,iPr_def_18)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_589,c_162077]) ).
tcf(c_162240,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_18,multiply(iPr_def_20,sk_c9)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_162239,c_10789]) ).
tcf(c_162313,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_18,multiply(iPr_def_20,sk_c9)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_162216,c_10789]) ).
tcf(c_162342,plain,
( ( iPr_def_23 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_18,multiply(iPr_def_20,sk_c9)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_162195,c_10789]) ).
tcf(c_162403,plain,
( ( iPr_def_15 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_18,multiply(iPr_def_20,sk_c9)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_162177,c_10789]) ).
tcf(c_162447,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_18,multiply(iPr_def_20,sk_c9)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_162173,c_10789]) ).
tcf(c_181115,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_162447,c_162403,c_162342,c_162313,c_162240,c_162163,c_162225,c_162224,c_162223,c_162222,c_162221,c_162220,c_162216,c_162214,c_162213,c_162212,c_162236,c_162237,c_162238,c_162239,c_162235,c_162234,c_162233,c_162232,c_162231,c_162230,c_162229,c_162228,c_162198,c_162197,c_162196,c_162195,c_162194,c_162193,c_162192,c_162191,c_162190,c_162189,c_162188,c_162187,c_162186,c_162182,c_162181,c_162180,c_162179,c_162178,c_162177,c_162176,c_162175,c_162174,c_162173,c_162172,c_162170,c_162168,c_162165,c_162164,c_162077,c_138729,c_138724,c_138719,c_138714,c_138709,c_138672,c_138611,c_138606,c_138541,c_138452,c_138451,c_138450,c_138448,c_138514,c_138513,c_138512,c_138511,c_138510,c_138509,c_138505,c_138503,c_138502,c_138501,c_138525,c_138526,c_138527,c_138528,c_138524,c_138523,c_138522,c_138520,c_138519,c_138518,c_138487,c_138486,c_138485,c_138484,c_138483,c_138482,c_138481,c_138480,c_138479,c_138478,c_138477,c_138476,c_138475,c_138471,c_138470,c_138469,c_138468,c_138467,c_138466,c_138465,c_138464,c_138463,c_138462,c_138461,c_138459,c_138457,c_138454,c_138453,c_138360,c_138211,c_138192,c_138190,c_138185,c_138173,c_138172,c_138164,c_138163,c_138162,c_138161,c_138194,c_138156,c_138155,c_138146,c_138136,c_138135,c_138128,c_138102,c_138086,c_138081,c_138080,c_138079,c_138078,c_138077,c_138223,c_138225,c_138226,c_138227,c_137942,c_137939,c_137905,c_137901,c_137897,c_137893,c_137885,c_137883,c_137881,c_137878,c_137877,c_137876,c_137875,c_137874,c_137873,c_137872,c_137871,c_137870,c_137868,c_137857,c_137856,c_137855,c_137854,c_137851,c_137835,c_137832,c_137831,c_137830,c_137796,c_137761,c_137759,c_137758,c_137756,c_137755,c_137754,c_137753,c_137752,c_137751,c_137749,c_137746,c_137745,c_137760,c_137736,c_137724,c_137701,c_137697,c_137695,c_137689,c_137678,c_137726,c_137601,c_137597,c_137593,c_137589,c_137585,c_137574,c_137570,c_137566,c_137562,c_137558,c_137551,c_137549,c_137548,c_137547,c_137546,c_137519,c_137504,c_137503,c_137499,c_137498,c_137497,c_137496,c_137484,c_137478,c_137463,c_137451,c_137440,c_137439,c_137502,c_137413,c_137332,c_137331,c_137330,c_137329,c_137328,c_137325,c_137323,c_137322,c_137302,c_137301,c_137293,c_137285,c_137270,c_137267,c_137249,c_137186,c_137185,c_137184,c_137183,c_137182,c_137179,c_137178,c_137176,c_137175,c_137161,c_137160,c_137127,c_137117,c_137116,c_137107,c_137106,c_137105,c_137104,c_137103,c_137102,c_137101,c_137100,c_137095,c_137080,c_136404,c_136403,c_136401,c_136400,c_136380,c_136379,c_136378,c_136371,c_136369,c_136368,c_135951,c_135931,c_135927,c_135923,c_135919,c_135915,c_135911,c_135907,c_135902,c_135898,c_135894,c_135890,c_135883,c_135879,c_135875,c_135807,c_135801,c_135796,c_135795,c_135794,c_135793,c_135792,c_135791,c_135790,c_135789,c_135788,c_135787,c_135786,c_135785,c_135784,c_135783,c_135782,c_135781,c_135780,c_135779,c_135778,c_135777,c_135776,c_135775,c_135774,c_135773,c_135772,c_135771,c_135770,c_135769,c_135768,c_135767,c_135766,c_135764,c_135763,c_135762,c_135761,c_135760,c_135759,c_135758,c_135745,c_135744,c_135743,c_135742,c_135741,c_135740,c_135739,c_135738,c_135717,c_135710,c_135703,c_135702,c_135701,c_135700,c_135699,c_135690,c_135689,c_135688,c_135687,c_135686,c_135685,c_135684,c_135683,c_135254,c_135253,c_135252,c_135251,c_135250,c_135249,c_135245,c_135243,c_135242,c_135241,c_135264,c_135263,c_135262,c_135261,c_135260,c_135259,c_135258,c_135257,c_135227,c_135226,c_135225,c_135224,c_135223,c_135222,c_135221,c_135220,c_135219,c_135218,c_135217,c_135216,c_135215,c_135211,c_135210,c_135205,c_135204,c_135203,c_135202,c_135201,c_135199,c_135197,c_135194,c_135034,c_134583,c_134578,c_134573,c_134568,c_134563,c_134558,c_134553,c_134548,c_134543,c_134538,c_134533,c_134488,c_134483,c_134478,c_134473,c_134468,c_134463,c_134450,c_134389,c_134384,c_134379,c_134374,c_134264,c_134263,c_134262,c_134261,c_134260,c_134259,c_134258,c_134257,c_134256,c_134255,c_134254,c_134246,c_134245,c_134244,c_134243,c_134242,c_134241,c_134240,c_134239,c_134238,c_134237,c_134235,c_134234,c_134228,c_134227,c_134226,c_134225,c_134224,c_134327,c_134326,c_134325,c_134324,c_134323,c_134322,c_134318,c_134316,c_134315,c_134314,c_134338,c_134339,c_134340,c_134341,c_134337,c_134336,c_134335,c_134334,c_134333,c_134332,c_134331,c_134330,c_134300,c_134299,c_134298,c_134297,c_134296,c_134295,c_134294,c_134293,c_134292,c_134291,c_134290,c_134289,c_134288,c_134284,c_134283,c_134282,c_134281,c_134280,c_134279,c_134278,c_134277,c_134276,c_134275,c_134274,c_134272,c_134270,c_134267,c_134128,c_133847,c_133844,c_133843,c_133842,c_133831,c_133830,c_133829,c_133828,c_133827,c_133826,c_133825,c_133824,c_133823,c_133822,c_133821,c_133820,c_133819,c_133818,c_133817,c_133816,c_133808,c_133800,c_133799,c_133798,c_133797,c_133796,c_133795,c_133794,c_133793,c_133792,c_133791,c_133790,c_133787,c_133786,c_133775,c_133774,c_133837,c_133764,c_133687,c_133682,c_133681,c_133680,c_133679,c_133678,c_133677,c_133675,c_133685,c_133684,c_133686,c_133662,c_133642,c_133627,c_133624,c_133621,c_133559,c_133536,c_133532,c_133528,c_133524,c_133507,c_133499,c_133498,c_133497,c_133496,c_133495,c_133494,c_133493,c_133492,c_133491,c_133490,c_133489,c_133488,c_133477,c_133475,c_133474,c_133473,c_133506,c_133449,c_133463,c_133451,c_133440,c_133342,c_133341,c_133339,c_133338,c_133336,c_133335,c_133334,c_133333,c_133332,c_133331,c_133329,c_133326,c_133325,c_133340,c_133316,c_133282,c_133278,c_133275,c_133222,c_133221,c_133174,c_133141,c_133140,c_133139,c_133137,c_133136,c_133121,c_133088,c_133079,c_133078,c_133077,c_133068,c_133066,c_133064,c_133062,c_133061,c_133052,c_133049,c_133025,c_133023,c_133020,c_133019,c_133018,c_133017,c_133007,c_133006,c_133005,c_133004,c_133002,c_133001,c_132875,c_132874,c_132873,c_132872,c_132871,c_132844,c_132840,c_132762,c_132756,c_132755,c_132754,c_132753,c_132764,c_132671,c_132670,c_132669,c_132668,c_132667,c_132666,c_132665,c_132664,c_132663,c_132662,c_132649,c_132647,c_132646,c_132645,c_132677,c_132676,c_132678,c_132622,c_132624,c_132612,c_132544,c_132532,c_132531,c_132530,c_132524,c_132523,c_132522,c_132517,c_132513,c_132512,c_132511,c_132510,c_132509,c_132508,c_132507,c_132506,c_132371,c_132352,c_132350,c_132345,c_132333,c_132332,c_132324,c_132323,c_132322,c_132321,c_132354,c_132316,c_132315,c_132306,c_132296,c_132295,c_132289,c_132288,c_132262,c_132246,c_132244,c_132243,c_132383,c_132385,c_132386,c_132387,c_132102,c_132068,c_132064,c_132060,c_132056,c_132048,c_132046,c_132044,c_132041,c_132040,c_132039,c_132038,c_132037,c_132036,c_132035,c_132034,c_132033,c_132031,c_132020,c_132019,c_132018,c_132017,c_132014,c_131998,c_131997,c_131996,c_131982,c_131962,c_131957,c_131902,c_131901,c_131899,c_131898,c_131878,c_131877,c_131872,c_131861,c_131860,c_131859,c_131858,c_131857,c_131856,c_131855,c_131854,c_131820,c_131819,c_131818,c_131812,c_131810,c_131807,c_131793,c_131730,c_131729,c_131728,c_131727,c_131726,c_131723,c_131721,c_131720,c_131700,c_131699,c_131691,c_131683,c_131682,c_131676,c_131668,c_131665,c_131558,c_131549,c_131548,c_131547,c_131546,c_131545,c_131518,c_131514,c_131551,c_131431,c_131425,c_131424,c_131423,c_131422,c_131377,c_131376,c_131375,c_131374,c_131373,c_131372,c_131371,c_131324,c_131322,c_131321,c_131320,c_131319,c_131318,c_131282,c_131276,c_131275,c_131274,c_131273,c_131284,c_131243,c_131237,c_131236,c_131235,c_131234,c_131153,c_131152,c_131151,c_131150,c_131149,c_131148,c_131147,c_131146,c_131111,c_131110,c_131109,c_131108,c_131107,c_131106,c_131105,c_131069,c_131063,c_131062,c_131061,c_131060,c_131071,c_130979,c_130941,c_130939,c_130938,c_130936,c_130935,c_130934,c_130933,c_130932,c_130931,c_130929,c_130926,c_130925,c_130940,c_130916,c_130905,c_130904,c_130881,c_130877,c_130875,c_130872,c_130870,c_130869,c_130908,c_130906,c_130765,c_130761,c_130757,c_130753,c_130749,c_130738,c_130734,c_130730,c_130726,c_130722,c_130718,c_130708,c_130706,c_130705,c_130704,c_130703,c_130676,c_130661,c_130660,c_130656,c_130655,c_130654,c_130653,c_130641,c_130635,c_130627,c_130620,c_130608,c_130606,c_130605,c_130604,c_130597,c_130596,c_130667,c_130659,c_130451,c_130448,c_130447,c_130446,c_130435,c_130434,c_130433,c_130432,c_130431,c_130430,c_130429,c_130428,c_130427,c_130426,c_130425,c_130424,c_130423,c_130422,c_130421,c_130420,c_130412,c_130404,c_130403,c_130402,c_130401,c_130400,c_130399,c_130398,c_130397,c_130396,c_130395,c_130394,c_130391,c_130390,c_130381,c_130380,c_130379,c_130378,c_130441,c_130440,c_130368,c_130283,c_130278,c_130277,c_130276,c_130275,c_130274,c_130273,c_130271,c_130281,c_130280,c_130282,c_130258,c_130246,c_130238,c_130223,c_130220,c_130217,c_130214,c_130213,c_129827,c_129767,c_129766,c_129765,c_129764,c_129763,c_129760,c_129759,c_129757,c_129756,c_129742,c_129741,c_129740,c_129708,c_129697,c_129688,c_129687,c_129686,c_129685,c_129683,c_129682,c_129677,c_129676,c_129662,c_129624,c_129623,c_129621,c_129620,c_129600,c_129599,c_129598,c_129591,c_129589,c_129588,c_129551,c_129524,c_129523,c_129522,c_129520,c_129519,c_129504,c_129503,c_129471,c_129462,c_129460,c_129451,c_129449,c_129445,c_129402,c_129399,c_129381,c_129379,c_129376,c_129375,c_129374,c_129373,c_129368,c_129362,c_129361,c_129360,c_129236,c_129232,c_129231,c_129230,c_129229,c_129228,c_129201,c_129197,c_129142,c_129136,c_129135,c_129134,c_129133,c_129093,c_129092,c_129091,c_129090,c_129089,c_129088,c_129087,c_129086,c_129085,c_129021,c_129020,c_129019,c_129018,c_129017,c_129016,c_129015,c_129014,c_128956,c_128950,c_128949,c_128948,c_128947,c_128958,c_128902,c_128896,c_128895,c_128894,c_128893,c_128843,c_128842,c_128841,c_128840,c_128839,c_128838,c_128837,c_128836,c_128835,c_128834,c_128787,c_128786,c_128785,c_128784,c_128783,c_128782,c_128781,c_128780,c_128779,c_128754,c_128753,c_128752,c_128751,c_128750,c_128660,c_128637,c_128633,c_128629,c_128625,c_128602,c_128594,c_128593,c_128592,c_128591,c_128590,c_128589,c_128588,c_128587,c_128586,c_128585,c_128584,c_128583,c_128572,c_128570,c_128569,c_128568,c_128601,c_128545,c_128544,c_128559,c_128558,c_128548,c_128546,c_128535,c_128430,c_128429,c_128427,c_12842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611,c_610,c_609,c_608,c_607,c_606,c_605,c_604,c_603,c_602,c_601,c_600,c_599,c_598,c_597,c_596,c_595,c_594,c_593,c_592,c_591,c_590,c_589,c_588,c_587,c_586,c_581,c_580,c_579,c_578,c_577,c_576,c_575,c_574,c_573,c_572,c_571,c_570,c_569,c_568,c_567,c_582,c_584,c_585,c_100,c_99,c_98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP228-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 14:11:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 59.08/8.93 % SZS status Started for theBenchmark.p
% 59.08/8.93 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 ( sk_c10 != sk_c9 | ~iPr_def_12 )")
% 59.08/8.93 Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( sk_c10 != sk_c9 | ~iPr_def_12 )")
% 59.08/8.93 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/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_p4hamt86/qpbm0qvj 2>> /export/starexec/sandbox/tmp/iprover_out_p4hamt86/qpbm0qvj_error
% 59.08/8.93 % SZS status Unsatisfiable for theBenchmark.p
% 59.08/8.93
% 59.08/8.93 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 59.08/8.93
% 59.08/8.93 % ------ iProver source info
% 59.08/8.93
% 59.08/8.93 % git: date: 2026-07-19 20:42:38 +0200
% 59.08/8.93 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 59.08/8.93 % git: non_committed_changes: false
% 59.08/8.93
% 59.08/8.93 % ------ Parsing...% successful
% 59.08/8.93
% 59.08/8.93
% 59.08/8.93 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 59.08/8.93
% 59.08/8.93 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 59.08/8.93
% 59.08/8.93 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 59.08/8.93
% 59.08/8.93 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 59.08/8.93 % ------ Proving...
% 59.08/8.93 % ------ Problem Properties
% 59.08/8.93
% 59.08/8.93 %
% 59.08/8.93 % clauses 66
% 59.08/8.93 % conjectures 49
% 59.08/8.93 % EPR 46
% 59.08/8.93 % Horn 20
% 59.08/8.93 % unary 17
% 59.08/8.93 % binary 45
% 59.08/8.93 % lits 122
% 59.08/8.93 % lits eq 116
% 59.08/8.93 % fd_pure 0
% 59.08/8.93 % fd_pseudo 0
% 59.08/8.93 % fd_cond 0
% 59.08/8.93 % fd_pseudo_cond 0
% 59.08/8.93 % AC symbols 0
% 59.08/8.93
% 59.08/8.93 % ------ Schedule dynamic 5 is on
% 59.08/8.93
% 59.08/8.93 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 59.08/8.93
% 59.08/8.93
% 59.08/8.93 % ------
% 59.08/8.93 % Current options:
% 59.08/8.93 % ------
% 59.08/8.93
% 59.08/8.93
% 59.08/8.93 %
% 59.08/8.93
% 59.08/8.93 % ------ Proving...
% 59.08/8.93 %
% 59.08/8.93
% 59.08/8.93 % SZS status Unsatisfiable for theBenchmark.p
% 59.08/8.93
% 59.08/8.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 59.09/9.27
% 59.09/9.27
%------------------------------------------------------------------------------